TSTP Solution File: SET601+3 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET601+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 05:02:21 EDT 2022
% Result : Theorem 9.22s 1.53s
% Output : Proof 9.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th72)]) ).
cnf(g1,plain,
( sPE(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| sP0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g2,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| sPE(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| sP0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g3,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4)))
| ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g4,plain,
( member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| ~ sP0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g5,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g6,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g7,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| ~ sP0(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g8,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g9,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g10,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g11,plain,
sPE(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(intersection(sK2,sK3),union(intersection(sK3,sK4),intersection(sK4,sK2)))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_union)]) ).
cnf(g12,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g13,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g14,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g15,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g16,plain,
sPE(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),union(intersection(sK3,sK4),intersection(sK4,sK2))))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK3,sK4),intersection(sK4,sK2))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g18,plain,
subset(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_subset)]) ).
cnf(g19,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g20,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g21,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g22,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| ~ subset(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(intersection(sK2,sK3),union(intersection(sK3,sK4),intersection(sK4,sK2))))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),union(intersection(sK3,sK4),intersection(sK4,sK2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn)]) ).
cnf(g23,plain,
( ~ sPE(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| ~ sPE(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(intersection(sK2,sK3),union(intersection(sK3,sK4),intersection(sK4,sK2))))
| ~ subset(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))
| subset(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),union(intersection(sK2,sK3),union(intersection(sK3,sK4),intersection(sK4,sK2)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g24,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g25,plain,
sPE(intersection(union(sK2,sK3),union(sK3,sK4)),intersection(union(sK3,sK4),union(sK2,sK3))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection)]) ).
cnf(g26,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g27,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g28,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK2,sK3),intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g29,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g30,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g31,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g32,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g33,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g34,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3))
| ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g35,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g36,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g37,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g38,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g39,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g40,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK4,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g41,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g42,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g43,plain,
( ~ sPE(intersection(union(sK2,sK3),union(sK3,sK4)),intersection(union(sK3,sK4),union(sK2,sK3)))
| ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK3,sK4),union(sK2,sK3)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK2,sK3),union(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g44,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4))
| ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(union(sK3,sK4),union(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g45,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g46,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(intersection(sK3,sK4),intersection(sK4,sK2)))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK4,sK2)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g47,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4))
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g48,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),union(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g49,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK2)
| ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g50,plain,
( ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK3)
| ~ member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),sK4)
| member(sK1(union(union(intersection(sK2,sK3),intersection(sK3,sK4)),intersection(sK4,sK2)),intersection(intersection(union(sK2,sK3),union(sK3,sK4)),union(sK4,sK2))),intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET601+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : satcop --statistics %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jul 10 22:23:52 EDT 2022
% 0.15/0.35 % CPUTime :
% 9.19/1.53 % symbols: 12
% 9.19/1.53 % clauses: 37
% 9.19/1.53 % start clauses: 1
% 9.19/1.53 % iterative deepening steps: 1678
% 9.19/1.53 % maximum path limit: 5
% 9.19/1.53 % literal attempts: 892907
% 9.22/1.53 % depth failures: 651944
% 9.22/1.53 % regularity failures: 55071
% 9.22/1.53 % tautology failures: 12260
% 9.22/1.53 % reductions: 37274
% 9.22/1.53 % extensions: 855117
% 9.22/1.53 % SAT variables: 84516
% 9.22/1.53 % SAT clauses: 120517
% 9.22/1.53 % WalkSAT solutions: 120286
% 9.22/1.53 % CDCL solutions: 227
% 9.22/1.53 % SZS status Theorem for theBenchmark
% 9.22/1.53 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------