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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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D directly affects E. | entailment | num_nodes=6__mec_id=258__node_i=4__node_j=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 directly affects D. | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D and E together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both D and E. | neutral | num_nodes=6__mec_id=258__node_i=4__node_j=5__causal_relation=has_confounder__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D directly affects F. | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D influences F through some mediator(s). | neutral | num_nodes=6__mec_id=258__node_i=4__node_j=6__causal_relation=non-parent_ancestor__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F directly affects D. | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D and F together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__node_i=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both D and F. | neutral | num_nodes=6__mec_id=258__node_i=4__node_j=6__causal_relation=has_confounder__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 directly affects A. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 influences A through some mediator(s). | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=1__causal_relation=non-parent_ancestor__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | A directly affects E. | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=1__causal_relation=child__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | A influences E through some mediator(s). | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=1__causal_relation=non-child_descendant__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 A together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both E and A. | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=1__causal_relation=has_confounder__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 directly affects B. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | B directly affects E. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | B influences E through some mediator(s). | entailment | num_nodes=6__mec_id=258__node_i=5__node_j=2__causal_relation=non-child_descendant__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 B together cause some other variable(s). | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=2__causal_relation=has_collider__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both E and B. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 directly affects C. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | C directly affects E. | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=3__causal_relation=child__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | C influences E through some mediator(s). | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=3__causal_relation=non-child_descendant__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 C together cause some other variable(s). | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=3__causal_relation=has_collider__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both E and C. | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=3__causal_relation=has_confounder__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 directly affects D. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D directly affects E. | entailment | num_nodes=6__mec_id=258__node_i=5__node_j=4__causal_relation=child__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 D together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both E and D. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 directly affects F. | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=6__causal_relation=parent__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__node_j=6__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F directly affects E. | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=258__node_i=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both E and F. | neutral | num_nodes=6__mec_id=258__node_i=5__node_j=6__causal_relation=has_confounder__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F directly affects A. | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=1__causal_relation=parent__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | A directly affects F. | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=1__causal_relation=child__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | A influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F and A together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both F and A. | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=1__causal_relation=has_confounder__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F directly affects B. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | B directly affects F. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | B influences F through some mediator(s). | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=2__causal_relation=non-child_descendant__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F and B together cause some other variable(s). | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=2__causal_relation=has_collider__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both F and B. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F directly affects C. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | C directly affects F. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | C influences F through some mediator(s). | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=3__causal_relation=non-child_descendant__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F and C together cause some other variable(s). | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=3__causal_relation=has_collider__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both F and C. | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=3__causal_relation=has_confounder__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F directly affects D. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D directly affects F. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | D influences F through some mediator(s). | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=4__causal_relation=non-child_descendant__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F and D together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both F and D. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F directly affects E. | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 directly affects F. | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=5__causal_relation=child__prob=0.50 |
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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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 influences F through some mediator(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | F and E together cause some other variable(s). | contradiction | num_nodes=6__mec_id=258__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given F. A and D are independent given B and C. A and D are independent given B, C and F. A and D are independent given C. A and D are independent given C and F. 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 C. B and D are independent given C and F. 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 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. 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 and D. C and E are independent given A, D and 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. 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 and C. D and F are independent given C. 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. | Some variable(s) cause(s) both F and E. | neutral | num_nodes=6__mec_id=258__node_i=6__node_j=5__causal_relation=has_confounder__prob=0.50 |
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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A directly affects B. | neutral | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A influences B through some mediator(s). | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=2__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | B directly affects A. | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=2__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | B influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A and B together cause some other variable(s). | neutral | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | Some variable(s) cause(s) both A and B. | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A directly affects C. | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=550__node_i=1__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | C directly affects A. | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | C influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=550__node_i=1__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A and C together cause some other variable(s). | entailment | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | Some variable(s) cause(s) both A and C. | contradiction | num_nodes=6__mec_id=550__node_i=1__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A directly affects D. | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=4__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A influences D through some mediator(s). | neutral | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | D directly affects A. | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=4__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | D influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A and D together cause some other variable(s). | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=4__causal_relation=has_collider__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | Some variable(s) cause(s) both A and D. | neutral | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A directly affects E. | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=5__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A influences E through some mediator(s). | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=5__causal_relation=non-parent_ancestor__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | E directly affects A. | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | E influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A and E together cause some other variable(s). | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=5__causal_relation=has_collider__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | Some variable(s) cause(s) both A and E. | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=5__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A directly affects F. | entailment | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | A influences F through some mediator(s). | neutral | num_nodes=6__mec_id=550__node_i=1__node_j=6__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | F directly affects A. | contradiction | num_nodes=6__mec_id=550__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 D. A correlates with E. A correlates with F. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. D correlates with E. D correlates with F. E correlates with F. However, A is independent of C. A and C are independent given B. A and C are independent given B and F. A and C are independent given F. A and E are independent given B, C and D. A and E are independent given B, C, D and F. B is independent of C. B and C are independent given A. B and C are independent given A and F. B and C are independent given 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. 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. 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. 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, C and D. | F influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=550__node_i=1__node_j=6__causal_relation=non-child_descendant__prob=0.00 |
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