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Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | E and F together cause some other variable(s). | contradiction | num_nodes=6__mec_id=8__node_i=5__node_j=6__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | Some variable(s) cause(s) both E and F. | contradiction | num_nodes=6__mec_id=8__node_i=5__node_j=6__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F directly affects A. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=1__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=1__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | A directly affects F. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=1__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | A influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=1__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F and A together cause some other variable(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=1__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | Some variable(s) cause(s) both F and A. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=1__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F directly affects B. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=2__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=2__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | B directly affects F. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=2__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | B influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=2__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F and B together cause some other variable(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=2__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | Some variable(s) cause(s) both F and B. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=2__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F directly affects C. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=3__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=3__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | C directly affects F. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=3__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | C influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=3__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F and C together cause some other variable(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=3__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | Some variable(s) cause(s) both F and C. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=3__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F directly affects D. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=4__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=4__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | D directly affects F. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=4__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | D influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=4__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F and D together cause some other variable(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=4__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | Some variable(s) cause(s) both F and D. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=4__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F directly affects E. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=5__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=5__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | E directly affects F. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=5__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | E influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=5__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | F and E together cause some other variable(s). | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=5__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. B correlates with C. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given C, D and E. A and B are independent given C, D, E and F. A and B are independent given C, D and F. A and B are independent given C and E. A and B are independent given C, E and F. A and B are independent given C and F. A and B are independent given D. A and B are independent given D and E. A and B are independent given D, E and F. A and B are independent given D and F. A and B are independent given E. A and B are independent given E and F. A and B are independent given F. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and E. A and C are independent given B, D, E and F. A and C are independent given B, D and F. A and C are independent given B and E. A and C are independent given B, E and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and E. A and C are independent given D, E and F. A and C are independent given D and F. A and C are independent given E. A and C are independent given E and F. A and C are independent given F. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B, C, D and F. A and E are independent given B, C and F. A and E are independent given B and D. A and E are independent given B, D and F. A and E are independent given B and F. A and E are independent given C. A and E are independent given C and D. A and E are independent given C, D and F. A and E are independent given C and F. A and E are independent given D. A and E are independent given D and F. A and E are independent given F. A is independent of F. A and F are independent given B. A and F are independent given B and C. A and F are independent given B, C and D. A and F are independent given B, C, D and E. A and F are independent given B, C and E. A and F are independent given B and D. A and F are independent given B, D and E. A and F are independent given B and E. A and F are independent given C. A and F are independent given C and D. A and F are independent given C, D and E. A and F are independent given C and E. A and F are independent given D. A and F are independent given D and E. A and F are independent given E. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B and D are independent given A and E. B and D are independent given A, E and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and E. B and D are independent given C, E and F. B and D are independent given C and F. B and D are independent given E. B and D are independent given E and F. B and D are independent given F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given A, D and F. B and E are independent given A and F. B and E are independent given C. B and E are independent given C and D. B and E are independent given C, D and F. B and E are independent given C and F. B and E are independent given D. B and E are independent given D and F. B and E are independent given F. B is independent of F. B and F are independent given A. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. B and F are independent given A and D. B and F are independent given A, D and E. B and F are independent given A and E. B and F are independent given C. B and F are independent given C and D. B and F are independent given C, D and E. B and F are independent given C and E. B and F are independent given D. B and F are independent given D and E. B and F are independent given E. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and E. C and D are independent given A, B, E and F. C and D are independent given A, B and F. C and D are independent given A and E. C and D are independent given A, E and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and E. C and D are independent given B, E and F. C and D are independent given B and F. C and D are independent given E. C and D are independent given E and F. C and D are independent given F. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A, B, D and F. C and E are independent given A, B and F. C and E are independent given A and D. C and E are independent given A, D and F. C and E are independent given A and F. C and E are independent given B. C and E are independent given B and D. C and E are independent given B, D and F. C and E are independent given B and F. C and E are independent given D. C and E are independent given D and F. C and E are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given A, D and E. C and F are independent given A and E. C and F are independent given B. C and F are independent given B and D. C and F are independent given B, D and E. C and F are independent given B and E. C and F are independent given D. C and F are independent given D and E. C and F are independent given E. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A, B, C and F. D and E are independent given A, B and F. D and E are independent given A and C. D and E are independent given A, C and F. D and E are independent given A and F. D and E are independent given B. D and E are independent given B and C. D and E are independent given B, C and F. D and E are independent given B and F. D and E are independent given C. D and E are independent given C and F. D and E are independent given F. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given A, C and E. D and F are independent given A and E. D and F are independent given B. D and F are independent given B and C. D and F are independent given B, C and E. D and F are independent given B and E. D and F are independent given C. D and F are independent given C and E. D and F are independent given E. E is independent of F. E and F are independent given A. E and F are independent given A and B. E and F are independent given A, B and C. E and F are independent given A, B, C and D. E and F are independent given A, B and D. E and F are independent given A and C. E and F are independent given A, C and D. E and F are independent given A and D. E and F are independent given B. E and F are independent given B and C. E and F are independent given B, C and D. E and F are independent given B and D. E and F are independent given C. E and F are independent given C and D. E and F are independent given D. | Some variable(s) cause(s) both F and E. | contradiction | num_nodes=6__mec_id=8__node_i=6__node_j=5__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A directly affects B. | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=2__causal_relation=parent__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=2__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B directly affects A. | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=2__causal_relation=child__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=2__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A and B together cause some other variable(s). | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=2__causal_relation=has_collider__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both A and B. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=2__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A directly affects C. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=3__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A influences C through some mediator(s). | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=3__causal_relation=non-parent_ancestor__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C directly affects A. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=3__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C influences A through some mediator(s). | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=3__causal_relation=non-child_descendant__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A and C together cause some other variable(s). | entailment | num_nodes=6__mec_id=1772__node_i=1__node_j=3__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both A and C. | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=3__causal_relation=has_confounder__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A directly affects D. | entailment | num_nodes=6__mec_id=1772__node_i=1__node_j=4__causal_relation=parent__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A influences D through some mediator(s). | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=4__causal_relation=non-parent_ancestor__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | D directly affects A. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=4__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | D influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=4__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A and D together cause some other variable(s). | entailment | num_nodes=6__mec_id=1772__node_i=1__node_j=4__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both A and D. | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=4__causal_relation=has_confounder__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A directly affects E. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=5__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=5__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | E directly affects A. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=5__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | E influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=5__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A and E together cause some other variable(s). | entailment | num_nodes=6__mec_id=1772__node_i=1__node_j=5__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both A and E. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=5__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A directly affects F. | entailment | num_nodes=6__mec_id=1772__node_i=1__node_j=6__causal_relation=parent__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A influences F through some mediator(s). | entailment | num_nodes=6__mec_id=1772__node_i=1__node_j=6__causal_relation=non-parent_ancestor__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | F directly affects A. | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=6__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | F influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=6__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A and F together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1772__node_i=1__node_j=6__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both A and F. | neutral | num_nodes=6__mec_id=1772__node_i=1__node_j=6__causal_relation=has_confounder__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B directly affects A. | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=1__causal_relation=parent__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=1__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A directly affects B. | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=1__causal_relation=child__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=1__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B and A together cause some other variable(s). | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=1__causal_relation=has_collider__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both B and A. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=1__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B directly affects C. | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=3__causal_relation=parent__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=3__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C directly affects B. | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=3__causal_relation=child__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=3__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B and C together cause some other variable(s). | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=3__causal_relation=has_collider__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both B and C. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=3__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B directly affects D. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=4__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B influences D through some mediator(s). | entailment | num_nodes=6__mec_id=1772__node_i=2__node_j=4__causal_relation=non-parent_ancestor__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | D directly affects B. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=4__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | D influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=4__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B and D together cause some other variable(s). | entailment | num_nodes=6__mec_id=1772__node_i=2__node_j=4__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both B and D. | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=4__causal_relation=has_confounder__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B directly affects E. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=5__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=5__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | E directly affects B. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=5__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | E influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=5__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B and E together cause some other variable(s). | entailment | num_nodes=6__mec_id=1772__node_i=2__node_j=5__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both B and E. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=5__causal_relation=has_confounder__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B directly affects F. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=6__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B influences F through some mediator(s). | entailment | num_nodes=6__mec_id=1772__node_i=2__node_j=6__causal_relation=non-parent_ancestor__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | F directly affects B. | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=6__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | F influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=6__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | B and F together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1772__node_i=2__node_j=6__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both B and F. | neutral | num_nodes=6__mec_id=1772__node_i=2__node_j=6__causal_relation=has_confounder__prob=0.67 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C directly affects A. | contradiction | num_nodes=6__mec_id=1772__node_i=3__node_j=1__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C influences A through some mediator(s). | neutral | num_nodes=6__mec_id=1772__node_i=3__node_j=1__causal_relation=non-parent_ancestor__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A directly affects C. | contradiction | num_nodes=6__mec_id=1772__node_i=3__node_j=1__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | A influences C through some mediator(s). | neutral | num_nodes=6__mec_id=1772__node_i=3__node_j=1__causal_relation=non-child_descendant__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C and A together cause some other variable(s). | entailment | num_nodes=6__mec_id=1772__node_i=3__node_j=1__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | Some variable(s) cause(s) both C and A. | neutral | num_nodes=6__mec_id=1772__node_i=3__node_j=1__causal_relation=has_confounder__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C directly affects B. | neutral | num_nodes=6__mec_id=1772__node_i=3__node_j=2__causal_relation=parent__prob=0.33 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with F. B correlates with C. B correlates with D. B correlates with F. C correlates with D. C correlates with F. D correlates with F. E correlates with F. However, A and C are independent given B. A and C are independent given B and E. A is independent of E. A and E are independent given B. A and E are independent given B and C. A and E are independent given B, C and D. A and E are independent given B and D. A and E are independent given C. A and E are independent given C and D. A and E are independent given D. B and D are independent given A and C. B and D are independent given A, C and E. B and D are independent given A, C, E and F. B and D are independent given A, C and F. B is independent of E. B and E are independent given A. B and E are independent given A and C. B and E are independent given A, C and D. B and E are independent given A, C, D and F. B and E are independent given A, C and F. B and E are independent given A and D. B and E are independent given C. B and E are independent given C and D. B and E are independent given D. B and F are independent given A and C. B and F are independent given A, C and D. B and F are independent given A, C, D and E. B and F are independent given A, C and E. C is independent of E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. C and E are independent given A and D. C and E are independent given B. C and E are independent given B and D. C and E are independent given D. D is independent of E. D and E are independent given A. D and E are independent given A and B. D and E are independent given A, B and C. D and E are independent given A and C. D and E are independent given B. D and E are independent given B and C. D and E are independent given C. | C influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1772__node_i=3__node_j=2__causal_relation=non-parent_ancestor__prob=0.00 |
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