TSTP Solution File: SET010+3 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET010+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n011.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 04:57:14 EDT 2022
% Result : Theorem 0.18s 0.42s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ sPE(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_difference_and_intersection_and_union)]) ).
cnf(g1,plain,
( sPE(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4)))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4)))
| sP0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g2,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4)))
| sPE(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4)))
| sP0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g3,plain,
sPE(union(difference(sK2,sK4),difference(sK2,sK3)),union(difference(sK2,sK3),difference(sK2,sK4))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union)]) ).
cnf(g4,plain,
( member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4)))
| ~ sP0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g5,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4)))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g6,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4)))
| ~ sP0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g7,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4)))
| subset(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn)]) ).
cnf(g8,plain,
( member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4)))
| subset(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn)]) ).
cnf(g9,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK2)
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),intersection(sK3,sK4))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g10,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4)))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK3))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g11,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),intersection(sK3,sK4))
| ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g12,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4)))
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g13,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK3))
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g14,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK4))
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g15,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK2)
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK4)
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g16,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK2)
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK3)
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g17,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),intersection(sK3,sK4))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK3) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g18,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK3))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g19,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK4)
| ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g20,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK4))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK2) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g21,plain,
( ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK3)
| ~ member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK4)
| member(sK0(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),intersection(sK3,sK4)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g22,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK4),difference(sK2,sK3)))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK4))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn)]) ).
cnf(g23,plain,
( ~ sPE(union(difference(sK2,sK4),difference(sK2,sK3)),union(difference(sK2,sK3),difference(sK2,sK4)))
| ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4)))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK4),difference(sK2,sK3))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn)]) ).
cnf(g24,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),intersection(sK3,sK4))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK4) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn)]) ).
cnf(g25,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),sK3)
| ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,sK3)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn)]) ).
cnf(g26,plain,
( ~ member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),difference(sK2,intersection(sK3,sK4)))
| ~ subset(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4)))
| member(sK1(difference(sK2,intersection(sK3,sK4)),union(difference(sK2,sK3),difference(sK2,sK4))),union(difference(sK2,sK3),difference(sK2,sK4))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET010+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : satcop --statistics %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 17:01:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.42 % symbols: 13
% 0.18/0.42 % clauses: 39
% 0.18/0.42 % start clauses: 1
% 0.18/0.42 % iterative deepening steps: 345
% 0.18/0.42 % maximum path limit: 4
% 0.18/0.42 % literal attempts: 54082
% 0.18/0.42 % depth failures: 39827
% 0.18/0.42 % regularity failures: 3146
% 0.18/0.42 % tautology failures: 1295
% 0.18/0.42 % reductions: 1876
% 0.18/0.42 % extensions: 52111
% 0.18/0.42 % SAT variables: 11113
% 0.18/0.42 % SAT clauses: 16482
% 0.18/0.42 % WalkSAT solutions: 16474
% 0.18/0.42 % CDCL solutions: 2
% 0.18/0.42 % SZS status Theorem for theBenchmark
% 0.18/0.42 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------