tasksource/corr2cause · Datasets at Hugging Face

premise stringlengths 270 9.17k	hypothesis stringlengths 21 46	relation stringclasses 3 values	id stringlengths 75 93
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	D and C together cause some other variable(s).	neutral	num_nodes=5__mec_id=137__node_i=4__node_j=3__causal_relation=has_collider__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	Some variable(s) cause(s) both D and C.	contradiction	num_nodes=5__mec_id=137__node_i=4__node_j=3__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	D directly affects E.	neutral	num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=parent__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	D influences E through some mediator(s).	contradiction	num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E directly affects D.	neutral	num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=child__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E influences D through some mediator(s).	contradiction	num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	D and E together cause some other variable(s).	contradiction	num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	Some variable(s) cause(s) both D and E.	entailment	num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=has_confounder__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E directly affects A.	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=parent__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E influences A through some mediator(s).	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	A directly affects E.	entailment	num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=child__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	A influences E through some mediator(s).	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=non-child_descendant__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E and A together cause some other variable(s).	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=has_collider__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	Some variable(s) cause(s) both E and A.	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E directly affects B.	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=parent__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E influences B through some mediator(s).	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	B directly affects E.	entailment	num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=child__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	B influences E through some mediator(s).	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=non-child_descendant__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E and B together cause some other variable(s).	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=has_collider__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	Some variable(s) cause(s) both E and B.	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E directly affects C.	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=parent__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E influences C through some mediator(s).	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	C directly affects E.	entailment	num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=child__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	C influences E through some mediator(s).	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=non-child_descendant__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E and C together cause some other variable(s).	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=has_collider__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	Some variable(s) cause(s) both E and C.	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E directly affects D.	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=parent__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E influences D through some mediator(s).	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	D directly affects E.	neutral	num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=child__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	D influences E through some mediator(s).	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	E and D together cause some other variable(s).	contradiction	num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.	Some variable(s) cause(s) both E and D.	entailment	num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=has_confounder__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A directly affects B.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=parent__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A influences B through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B directly affects A.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B influences A through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A and B together cause some other variable(s).	entailment	num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both A and B.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A directly affects C.	entailment	num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=parent__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A influences C through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=non-parent_ancestor__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C directly affects A.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C influences A through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A and C together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both A and C.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A directly affects D.	entailment	num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=parent__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A influences D through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=non-parent_ancestor__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	D directly affects A.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	D influences A through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A and D together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both A and D.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A directly affects E.	entailment	num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=parent__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A influences E through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=non-parent_ancestor__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	E directly affects A.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	E influences A through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A and E together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both A and E.	contradiction	num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B directly affects A.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=parent__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B influences A through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A directly affects B.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A influences B through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B and A together cause some other variable(s).	entailment	num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both B and A.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B directly affects C.	entailment	num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=parent__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B influences C through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=non-parent_ancestor__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C directly affects B.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C influences B through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B and C together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both B and C.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B directly affects D.	entailment	num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=parent__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B influences D through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=non-parent_ancestor__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	D directly affects B.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	D influences B through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B and D together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both B and D.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B directly affects E.	entailment	num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=parent__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B influences E through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=non-parent_ancestor__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	E directly affects B.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=child__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	E influences B through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B and E together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both B and E.	contradiction	num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C directly affects A.	contradiction	num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=parent__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C influences A through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A directly affects C.	entailment	num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=child__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	A influences C through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=non-child_descendant__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C and A together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both C and A.	contradiction	num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C directly affects B.	contradiction	num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=parent__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C influences B through some mediator(s).	contradiction	num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B directly affects C.	entailment	num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=child__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	B influences C through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=non-child_descendant__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C and B together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=has_collider__prob=0.67
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both C and B.	contradiction	num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C directly affects D.	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=parent__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C influences D through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=non-parent_ancestor__prob=0.17
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	D directly affects C.	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=child__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	D influences C through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=non-child_descendant__prob=0.17
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C and D together cause some other variable(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=has_collider__prob=0.33
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	Some variable(s) cause(s) both C and D.	entailment	num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=has_confounder__prob=1.00
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C directly affects E.	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=5__causal_relation=parent__prob=0.50
Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.	C influences E through some mediator(s).	neutral	num_nodes=5__mec_id=140__node_i=3__node_j=5__causal_relation=non-parent_ancestor__prob=0.17

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

D and C together cause some other variable(s).

neutral

num_nodes=5__mec_id=137__node_i=4__node_j=3__causal_relation=has_collider__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

Some variable(s) cause(s) both D and C.

contradiction

num_nodes=5__mec_id=137__node_i=4__node_j=3__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

D directly affects E.

neutral

num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=parent__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

D influences E through some mediator(s).

contradiction

num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E directly affects D.

neutral

num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=child__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E influences D through some mediator(s).

contradiction

num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

D and E together cause some other variable(s).

contradiction

num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=has_collider__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

Some variable(s) cause(s) both D and E.

entailment

num_nodes=5__mec_id=137__node_i=4__node_j=5__causal_relation=has_confounder__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E directly affects A.

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=parent__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E influences A through some mediator(s).

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

A directly affects E.

entailment

num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=child__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

A influences E through some mediator(s).

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=non-child_descendant__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E and A together cause some other variable(s).

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=has_collider__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

Some variable(s) cause(s) both E and A.

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=1__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E directly affects B.

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=parent__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E influences B through some mediator(s).

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

B directly affects E.

entailment

num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=child__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

B influences E through some mediator(s).

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=non-child_descendant__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E and B together cause some other variable(s).

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=has_collider__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

Some variable(s) cause(s) both E and B.

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=2__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E directly affects C.

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=parent__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E influences C through some mediator(s).

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

C directly affects E.

entailment

num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=child__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

C influences E through some mediator(s).

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=non-child_descendant__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E and C together cause some other variable(s).

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=has_collider__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

Some variable(s) cause(s) both E and C.

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=3__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E directly affects D.

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=parent__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E influences D through some mediator(s).

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

D directly affects E.

neutral

num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=child__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

D influences E through some mediator(s).

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

E and D together cause some other variable(s).

contradiction

num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=has_collider__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with D. A correlates with E. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. 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. B is independent of C. B and C are independent given A.

Some variable(s) cause(s) both E and D.

entailment

num_nodes=5__mec_id=137__node_i=5__node_j=4__causal_relation=has_confounder__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A directly affects B.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=parent__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A influences B through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B directly affects A.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B influences A through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A and B together cause some other variable(s).

entailment

num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=has_collider__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both A and B.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=2__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A directly affects C.

entailment

num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=parent__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A influences C through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=non-parent_ancestor__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C directly affects A.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C influences A through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A and C together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both A and C.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=3__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A directly affects D.

entailment

num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=parent__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A influences D through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=non-parent_ancestor__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

D directly affects A.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

D influences A through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A and D together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both A and D.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=4__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A directly affects E.

entailment

num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=parent__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A influences E through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=non-parent_ancestor__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

E directly affects A.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

E influences A through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A and E together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both A and E.

contradiction

num_nodes=5__mec_id=140__node_i=1__node_j=5__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B directly affects A.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=parent__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B influences A through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A directly affects B.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A influences B through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B and A together cause some other variable(s).

entailment

num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=has_collider__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both B and A.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=1__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B directly affects C.

entailment

num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=parent__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B influences C through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=non-parent_ancestor__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C directly affects B.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C influences B through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B and C together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both B and C.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=3__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B directly affects D.

entailment

num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=parent__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B influences D through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=non-parent_ancestor__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

D directly affects B.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

D influences B through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B and D together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both B and D.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=4__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B directly affects E.

entailment

num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=parent__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B influences E through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=non-parent_ancestor__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

E directly affects B.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=child__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

E influences B through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=non-child_descendant__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B and E together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both B and E.

contradiction

num_nodes=5__mec_id=140__node_i=2__node_j=5__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C directly affects A.

contradiction

num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=parent__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C influences A through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A directly affects C.

entailment

num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=child__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

A influences C through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=non-child_descendant__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C and A together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both C and A.

contradiction

num_nodes=5__mec_id=140__node_i=3__node_j=1__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C directly affects B.

contradiction

num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=parent__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C influences B through some mediator(s).

contradiction

num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=non-parent_ancestor__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B directly affects C.

entailment

num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=child__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

B influences C through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=non-child_descendant__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C and B together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=has_collider__prob=0.67

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both C and B.

contradiction

num_nodes=5__mec_id=140__node_i=3__node_j=2__causal_relation=has_confounder__prob=0.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C directly affects D.

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=parent__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C influences D through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=non-parent_ancestor__prob=0.17

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

D directly affects C.

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=child__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

D influences C through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=non-child_descendant__prob=0.17

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C and D together cause some other variable(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=has_collider__prob=0.33

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

Some variable(s) cause(s) both C and D.

entailment

num_nodes=5__mec_id=140__node_i=3__node_j=4__causal_relation=has_confounder__prob=1.00

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C directly affects E.

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=5__causal_relation=parent__prob=0.50

Suppose there is a closed system of 5 variables, A, B, C, D and E. All the statistical relations among these 5 variables are as follows: A correlates with C. A correlates with D. A correlates with E. B correlates with C. B correlates with D. B correlates with E. C correlates with D. C correlates with E. D correlates with E. However, A is independent of B.

C influences E through some mediator(s).

neutral

num_nodes=5__mec_id=140__node_i=3__node_j=5__causal_relation=non-parent_ancestor__prob=0.17