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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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | B directly affects E. | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=2__causal_relation=child__prob=0.38 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | B influences E through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=2__causal_relation=non-child_descendant__prob=0.62 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E and B together cause some other variable(s). | entailment | num_nodes=6__mec_id=1841__node_i=5__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both E and B. | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=2__causal_relation=has_confounder__prob=0.50 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E directly affects C. | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=3__causal_relation=parent__prob=0.25 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__node_i=5__node_j=3__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | C directly affects E. | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=3__causal_relation=child__prob=0.25 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | C influences E through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=3__causal_relation=non-child_descendant__prob=0.38 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E and C together cause some other variable(s). | entailment | num_nodes=6__mec_id=1841__node_i=5__node_j=3__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both E and C. | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=3__causal_relation=has_confounder__prob=0.50 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E directly affects D. | contradiction | num_nodes=6__mec_id=1841__node_i=5__node_j=4__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__node_i=5__node_j=4__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | D directly affects E. | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=4__causal_relation=child__prob=0.38 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | D influences E through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=4__causal_relation=non-child_descendant__prob=0.12 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E and D together cause some other variable(s). | entailment | num_nodes=6__mec_id=1841__node_i=5__node_j=4__causal_relation=has_collider__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both E and D. | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=4__causal_relation=has_confounder__prob=0.62 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E directly affects F. | entailment | num_nodes=6__mec_id=1841__node_i=5__node_j=6__causal_relation=parent__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E influences F through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=5__node_j=6__causal_relation=non-parent_ancestor__prob=0.62 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F directly affects E. | contradiction | num_nodes=6__mec_id=1841__node_i=5__node_j=6__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__node_i=5__node_j=6__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E and F together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1841__node_i=5__node_j=6__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both E and F. | entailment | num_nodes=6__mec_id=1841__node_i=5__node_j=6__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F directly affects A. | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=1__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=1__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | A directly affects F. | entailment | num_nodes=6__mec_id=1841__node_i=6__node_j=1__causal_relation=child__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | A influences F through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=1__causal_relation=non-child_descendant__prob=0.75 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F and A together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=1__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both F and A. | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=1__causal_relation=has_confounder__prob=0.75 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F directly affects B. | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=2__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=2__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | B directly affects F. | entailment | num_nodes=6__mec_id=1841__node_i=6__node_j=2__causal_relation=child__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | B influences F through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=2__causal_relation=non-child_descendant__prob=0.88 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F and B together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=2__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both F and B. | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=2__causal_relation=has_confounder__prob=0.50 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F directly affects C. | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=3__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=3__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | C directly affects F. | entailment | num_nodes=6__mec_id=1841__node_i=6__node_j=3__causal_relation=child__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | C influences F through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=3__causal_relation=non-child_descendant__prob=0.75 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F and C together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1841__node_i=6__node_j=3__causal_relation=has_collider__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both F and C. | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=3__causal_relation=has_confounder__prob=0.75 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F directly affects D. | contradiction | num_nodes=6__mec_id=1841__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | D directly affects F. | entailment | num_nodes=6__mec_id=1841__node_i=6__node_j=4__causal_relation=child__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | D influences F through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=4__causal_relation=non-child_descendant__prob=0.62 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F and D together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1841__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both F and D. | entailment | num_nodes=6__mec_id=1841__node_i=6__node_j=4__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F directly affects E. | contradiction | num_nodes=6__mec_id=1841__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F influences E through some mediator(s). | contradiction | num_nodes=6__mec_id=1841__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E directly affects F. | entailment | num_nodes=6__mec_id=1841__node_i=6__node_j=5__causal_relation=child__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | E influences F through some mediator(s). | neutral | num_nodes=6__mec_id=1841__node_i=6__node_j=5__causal_relation=non-child_descendant__prob=0.62 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | F and E together cause some other variable(s). | contradiction | num_nodes=6__mec_id=1841__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 B. A correlates with C. A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. 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, B and C are independent given A. B and C are independent given A and E. C and E are independent given A. C and E are independent given A and B. C and E are independent given A, B and D. D and E are independent given A and B. D and E are independent given A, B and C. | Some variable(s) cause(s) both F and E. | entailment | num_nodes=6__mec_id=1841__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A directly affects B. | contradiction | num_nodes=6__mec_id=2029__node_i=1__node_j=2__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__node_i=1__node_j=2__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B directly affects A. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A and B together cause some other variable(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both A and B. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A directly affects C. | contradiction | num_nodes=6__mec_id=2029__node_i=1__node_j=3__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | C directly affects A. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | C influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A and C together cause some other variable(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both A and C. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A directly affects D. | entailment | num_nodes=6__mec_id=2029__node_i=1__node_j=4__causal_relation=parent__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A influences D through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__node_i=1__node_j=4__causal_relation=non-parent_ancestor__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | D directly affects A. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | D influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A and D together cause some other variable(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both A and D. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A directly affects E. | contradiction | num_nodes=6__mec_id=2029__node_i=1__node_j=5__causal_relation=parent__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A influences E through some mediator(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | E directly affects A. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | E influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A and E together cause some other variable(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both A and E. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A directly affects F. | entailment | num_nodes=6__mec_id=2029__node_i=1__node_j=6__causal_relation=parent__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A influences F through some mediator(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | F directly affects A. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | F influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A and F together cause some other variable(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both A and F. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B directly affects A. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B influences A through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A directly affects B. | contradiction | num_nodes=6__mec_id=2029__node_i=2__node_j=1__causal_relation=child__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | A influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__node_i=2__node_j=1__causal_relation=non-child_descendant__prob=0.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B and A together cause some other variable(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both B and A. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B directly affects C. | neutral | num_nodes=6__mec_id=2029__node_i=2__node_j=3__causal_relation=parent__prob=0.50 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B influences C through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | C directly affects B. | neutral | num_nodes=6__mec_id=2029__node_i=2__node_j=3__causal_relation=child__prob=0.50 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | C influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B and C together cause some other variable(s). | entailment | num_nodes=6__mec_id=2029__node_i=2__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both B and C. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B directly affects D. | entailment | num_nodes=6__mec_id=2029__node_i=2__node_j=4__causal_relation=parent__prob=1.00 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B influences D through some mediator(s). | neutral | num_nodes=6__mec_id=2029__node_i=2__node_j=4__causal_relation=non-parent_ancestor__prob=0.50 |
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | D directly affects B. | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | D influences B through some mediator(s). | contradiction | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | B and D together cause some other variable(s). | entailment | num_nodes=6__mec_id=2029__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 D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. 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 is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E. | Some variable(s) cause(s) both B and D. | neutral | num_nodes=6__mec_id=2029__node_i=2__node_j=4__causal_relation=has_confounder__prob=0.50 |
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