premise
stringlengths
270
9.17k
hypothesis
stringlengths
21
46
relation
stringclasses
3 values
id
stringlengths
75
93
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B directly affects E.
entailment
num_nodes=6__mec_id=2029__node_i=2__node_j=5__causal_relation=parent__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B influences E through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=2__node_j=5__causal_relation=non-parent_ancestor__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects B.
contradiction
num_nodes=6__mec_id=2029__node_i=2__node_j=5__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences B through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=2__node_j=5__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B and E together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=2__node_j=5__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both B and E.
neutral
num_nodes=6__mec_id=2029__node_i=2__node_j=5__causal_relation=has_confounder__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B directly affects F.
contradiction
num_nodes=6__mec_id=2029__node_i=2__node_j=6__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B influences F through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=2__node_j=6__causal_relation=non-parent_ancestor__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F directly affects B.
contradiction
num_nodes=6__mec_id=2029__node_i=2__node_j=6__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F influences B through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=2__node_j=6__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B and F together cause some other variable(s).
contradiction
num_nodes=6__mec_id=2029__node_i=2__node_j=6__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both B and F.
contradiction
num_nodes=6__mec_id=2029__node_i=2__node_j=6__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C directly affects A.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=1__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C influences A through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
A directly affects C.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=1__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
A influences C through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=1__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C and A together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=1__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both C and A.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=1__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C directly affects B.
neutral
num_nodes=6__mec_id=2029__node_i=3__node_j=2__causal_relation=parent__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C influences B through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B directly affects C.
neutral
num_nodes=6__mec_id=2029__node_i=3__node_j=2__causal_relation=child__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B influences C through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=2__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C and B together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=2__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both C and B.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=2__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C directly affects D.
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=4__causal_relation=parent__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C influences D through some mediator(s).
neutral
num_nodes=6__mec_id=2029__node_i=3__node_j=4__causal_relation=non-parent_ancestor__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D directly affects C.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=4__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D influences C through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C and D together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=4__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both C and D.
neutral
num_nodes=6__mec_id=2029__node_i=3__node_j=4__causal_relation=has_confounder__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C directly affects E.
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=5__causal_relation=parent__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C influences E through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=5__causal_relation=non-parent_ancestor__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects C.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=5__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences C through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=5__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C and E together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=5__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both C and E.
neutral
num_nodes=6__mec_id=2029__node_i=3__node_j=5__causal_relation=has_confounder__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C directly affects F.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=6__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C influences F through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=3__node_j=6__causal_relation=non-parent_ancestor__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F directly affects C.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=6__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F influences C through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=6__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C and F together cause some other variable(s).
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=6__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both C and F.
contradiction
num_nodes=6__mec_id=2029__node_i=3__node_j=6__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D directly affects A.
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=1__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D influences A through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
A directly affects D.
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=1__causal_relation=child__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
A influences D through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=1__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D and A together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=1__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both D and A.
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=1__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D directly affects B.
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=2__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D influences B through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B directly affects D.
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=2__causal_relation=child__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B influences D through some mediator(s).
neutral
num_nodes=6__mec_id=2029__node_i=4__node_j=2__causal_relation=non-child_descendant__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D and B together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=2__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both D and B.
neutral
num_nodes=6__mec_id=2029__node_i=4__node_j=2__causal_relation=has_confounder__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D directly affects C.
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=3__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D influences C through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=3__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C directly affects D.
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=3__causal_relation=child__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C influences D through some mediator(s).
neutral
num_nodes=6__mec_id=2029__node_i=4__node_j=3__causal_relation=non-child_descendant__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D and C together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=3__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both D and C.
neutral
num_nodes=6__mec_id=2029__node_i=4__node_j=3__causal_relation=has_confounder__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D directly affects E.
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=5__causal_relation=parent__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D influences E through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=5__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects D.
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=5__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences D through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=5__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D and E together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=5__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both D and E.
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=5__causal_relation=has_confounder__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D directly affects F.
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=6__causal_relation=parent__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D influences F through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=6__causal_relation=non-parent_ancestor__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F directly affects D.
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=6__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F influences D through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=6__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D and F together cause some other variable(s).
contradiction
num_nodes=6__mec_id=2029__node_i=4__node_j=6__causal_relation=has_collider__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both D and F.
entailment
num_nodes=6__mec_id=2029__node_i=4__node_j=6__causal_relation=has_confounder__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects A.
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=1__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences A through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=1__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
A directly affects E.
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=1__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
A influences E through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=1__causal_relation=non-child_descendant__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E and A together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=1__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both E and A.
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=1__causal_relation=has_confounder__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects B.
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=2__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences B through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=2__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B directly affects E.
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=2__causal_relation=child__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
B influences E through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=2__causal_relation=non-child_descendant__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E and B together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=2__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both E and B.
neutral
num_nodes=6__mec_id=2029__node_i=5__node_j=2__causal_relation=has_confounder__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects C.
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=3__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences C through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=3__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C directly affects E.
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=3__causal_relation=child__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
C influences E through some mediator(s).
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=3__causal_relation=non-child_descendant__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E and C together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=3__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both E and C.
neutral
num_nodes=6__mec_id=2029__node_i=5__node_j=3__causal_relation=has_confounder__prob=0.50
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects D.
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=4__causal_relation=parent__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences D through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=4__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D directly affects E.
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=4__causal_relation=child__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
D influences E through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=4__causal_relation=non-child_descendant__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E and D together cause some other variable(s).
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=4__causal_relation=has_collider__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
Some variable(s) cause(s) both E and D.
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=4__causal_relation=has_confounder__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E directly affects F.
entailment
num_nodes=6__mec_id=2029__node_i=5__node_j=6__causal_relation=parent__prob=1.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
E influences F through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=6__causal_relation=non-parent_ancestor__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F directly affects E.
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=6__causal_relation=child__prob=0.00
Suppose there is a closed system of 6 variables, A, B, C, D, E and F. All the statistical relations among these 6 variables are as follows: A correlates with D. A correlates with E. A correlates with F. B correlates with C. B correlates with D. B correlates with E. B correlates with F. C correlates with D. C correlates with E. C correlates with F. D correlates with E. D correlates with F. E correlates with F. However, A is independent of B. A and B are independent given C. A is independent of C. A and C are independent given B. A and E are independent given B, C and D. B and F are independent given A, C, D and E. B and F are independent given A, D and E. C and F are independent given A, B, D and E. C and F are independent given A, D and E.
F influences E through some mediator(s).
contradiction
num_nodes=6__mec_id=2029__node_i=5__node_j=6__causal_relation=non-child_descendant__prob=0.00