premise
stringlengths 270
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| hypothesis
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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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
F directly affects D.
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
F influences D through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
D directly affects F.
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
D influences F through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=495__node_i=6__node_j=4__causal_relation=non-child_descendant__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
F and D together cause some other variable(s).
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
Some variable(s) cause(s) both F and D.
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
F directly affects E.
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
F influences E through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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 directly affects F.
|
contradiction
|
num_nodes=6__mec_id=495__node_i=6__node_j=5__causal_relation=child__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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 influences F through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
F and E together cause some other variable(s).
|
contradiction
|
num_nodes=6__mec_id=495__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 E. A correlates with F. B correlates with E. B correlates with F. C correlates with E. D correlates with E. E correlates with F. However, A is independent of B. A and B are independent given C. A and B are independent given C and D. A and B are independent given D. A is independent of C. A and C are independent given B. A and C are independent given B and D. A and C are independent given B, D and F. A and C are independent given B and F. A and C are independent given D. A and C are independent given D and F. A and C are independent given F. A is independent of D. A and D are independent given B. 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 B and F. A and D are independent given C. A and D are independent given C and F. A and D are independent given F. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and F. B and C are independent given A and F. B and C are independent given D. B and C are independent given D and F. B and C are independent given F. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given A, C and F. B and D are independent given A and F. B and D are independent given C. B and D are independent given C and F. B and D are independent given F. C is independent of D. C and D are independent given A. C and D are independent given A and B. C and D are independent given A, B and F. C and D are independent given A and F. C and D are independent given B. C and D are independent given B and F. C and D are independent given F. C is independent of F. C and F are independent given A. C and F are independent given A and B. C and F are independent given A, B and D. C and F are independent given A, B, D and E. C and F are independent given A, B and E. C and F are independent given A and D. C and F are independent given B. C and F are independent given B and D. C and F are independent given D. D is independent of F. D and F are independent given A. D and F are independent given A and B. D and F are independent given A, B and C. D and F are independent given A, B, C and E. D and F are independent given A, B and E. D and F are independent given A and C. D and F are independent given B. D and F are independent given B and C. D and F are independent given C. 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.
|
Some variable(s) cause(s) both F and E.
|
entailment
|
num_nodes=6__mec_id=495__node_i=6__node_j=5__causal_relation=has_confounder__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A directly affects B.
|
neutral
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A influences B through some mediator(s).
|
neutral
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B directly affects A.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=1__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B influences A through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A and B together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=1__node_j=2__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both A and B.
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A directly affects C.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=1__node_j=3__causal_relation=parent__prob=0.67
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A influences C through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C directly affects A.
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C influences A through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A and C together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both A and C.
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A directly affects D.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=1__node_j=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A influences D through some mediator(s).
|
neutral
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
D directly affects A.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=1__node_j=4__causal_relation=child__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
D influences A through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A and D together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=1__node_j=4__causal_relation=has_collider__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both A and D.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=1__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A directly affects E.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=1__node_j=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A influences E through some mediator(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=1__node_j=5__causal_relation=non-parent_ancestor__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
E directly affects A.
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
E influences A through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A and E together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=1__node_j=5__causal_relation=has_collider__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both A and E.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=1__node_j=5__causal_relation=has_confounder__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A directly affects F.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=1__node_j=6__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A influences F through some mediator(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=1__node_j=6__causal_relation=non-parent_ancestor__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
F directly affects A.
|
contradiction
|
num_nodes=6__mec_id=1214__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
F influences A through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=1__node_j=6__causal_relation=non-child_descendant__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A and F together cause some other variable(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=1__node_j=6__causal_relation=has_collider__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both A and F.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=1__node_j=6__causal_relation=has_confounder__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B directly affects A.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B influences A through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A directly affects B.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=2__node_j=1__causal_relation=child__prob=0.33
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A influences B through some mediator(s).
|
neutral
|
num_nodes=6__mec_id=1214__node_i=2__node_j=1__causal_relation=non-child_descendant__prob=0.33
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B and A together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=2__node_j=1__causal_relation=has_collider__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both B and A.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=1__causal_relation=has_confounder__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B directly affects C.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B influences C through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=3__causal_relation=non-parent_ancestor__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C directly affects B.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=2__node_j=3__causal_relation=child__prob=0.33
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C influences B through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=3__causal_relation=non-child_descendant__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B and C together cause some other variable(s).
|
neutral
|
num_nodes=6__mec_id=1214__node_i=2__node_j=3__causal_relation=has_collider__prob=0.67
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both B and C.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=3__causal_relation=has_confounder__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B directly affects D.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=4__causal_relation=parent__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B influences D through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
D directly affects B.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=4__causal_relation=child__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
D influences B through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=4__causal_relation=non-child_descendant__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B and D together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=2__node_j=4__causal_relation=has_collider__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both B and D.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=2__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B directly affects E.
|
entailment
|
num_nodes=6__mec_id=1214__node_i=2__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B influences E through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=5__causal_relation=non-parent_ancestor__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
E directly affects B.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=5__causal_relation=child__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
E influences B through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=5__causal_relation=non-child_descendant__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B and E together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=2__node_j=5__causal_relation=has_collider__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both B and E.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=2__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B directly affects F.
|
entailment
|
num_nodes=6__mec_id=1214__node_i=2__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B influences F through some mediator(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=2__node_j=6__causal_relation=non-parent_ancestor__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
F directly affects B.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=6__causal_relation=child__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
F influences B through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=6__causal_relation=non-child_descendant__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B and F together cause some other variable(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=6__causal_relation=has_collider__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both B and F.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=2__node_j=6__causal_relation=has_confounder__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C directly affects A.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__node_j=1__causal_relation=parent__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C influences A through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A directly affects C.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__node_j=1__causal_relation=child__prob=0.67
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
A influences C through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C and A together cause some other variable(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=3__node_j=1__causal_relation=has_collider__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both C and A.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__node_j=1__causal_relation=has_confounder__prob=0.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C directly affects B.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__node_j=2__causal_relation=parent__prob=0.33
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C influences B through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B directly affects C.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
B influences C through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C and B together cause some other variable(s).
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both C and B.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C directly affects D.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__node_j=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C influences D through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
D directly affects C.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
D influences C through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C and D together cause some other variable(s).
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__node_j=4__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both C and D.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C directly affects E.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C influences E through some mediator(s).
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
E directly affects C.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
E influences C through some mediator(s).
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C and E together cause some other variable(s).
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__node_j=5__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
Some variable(s) cause(s) both C and E.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__node_j=5__causal_relation=has_confounder__prob=0.67
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C directly affects F.
|
neutral
|
num_nodes=6__mec_id=1214__node_i=3__node_j=6__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 C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
C influences F through some mediator(s).
|
entailment
|
num_nodes=6__mec_id=1214__node_i=3__node_j=6__causal_relation=non-parent_ancestor__prob=1.00
|
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
F directly affects C.
|
contradiction
|
num_nodes=6__mec_id=1214__node_i=3__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 E. B correlates with F. 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 C. A and B are independent given C and D. A and B are independent given D. A and D are independent given B and C. A and D are independent given C. B is independent of C. B and C are independent given A. B and C are independent given A and D. B and C are independent given A, D and E. B and C are independent given A, D, E and F. B and C are independent given A, D and F. B and C are independent given D. B is independent of D. B and D are independent given A. B and D are independent given A and C. B and D are independent given C. 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, 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. D and F are independent given A, B, C and E. D and F are independent given A, B and E.
|
F influences C through some mediator(s).
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contradiction
|
num_nodes=6__mec_id=1214__node_i=3__node_j=6__causal_relation=non-child_descendant__prob=0.00
|
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