%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET938+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n015.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 05:05:06 EDT 2022
% Result : Theorem 155.77s 20.09s
% Output : Proof 155.77s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
~ subset(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t86_zfmisc_1)]) ).
cnf(g1,plain,
( in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))))
| subset(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g2,plain,
( ~ in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),powerset(symmetric_difference(sK5,sK6)))
| subset(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g3,plain,
sPE(powerset(symmetric_difference(sK5,sK6)),powerset(symmetric_difference(sK5,sK6))),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ sPE(powerset(symmetric_difference(sK5,sK6)),powerset(symmetric_difference(sK5,sK6)))
| ~ subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6))
| in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),powerset(symmetric_difference(sK5,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1)]) ).
cnf(g5,plain,
( ~ in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)),symmetric_difference(sK5,sK6))
| subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g6,plain,
( in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)),sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))))
| subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g7,plain,
sPE(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))),powerset(set_difference(sK5,sK6))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0)]) ).
cnf(g8,plain,
sPE(set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5))),powerset(set_difference(sK6,sK5))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0)]) ).
cnf(g9,plain,
( ~ sPE(powerset(symmetric_difference(sK5,sK6)),powerset(set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))))
| ~ subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5)))
| in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),powerset(symmetric_difference(sK5,sK6))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1)]) ).
cnf(g10,plain,
( ~ sPE(symmetric_difference(sK5,sK6),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5)))
| sPE(powerset(symmetric_difference(sK5,sK6)),powerset(set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g11,plain,
sPE(symmetric_difference(sK5,sK6),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_xboole_0)]) ).
cnf(g12,plain,
( ~ in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5)))
| subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g13,plain,
( in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))))
| subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g14,plain,
sPE(symmetric_difference(sK5,sK6),symmetric_difference(sK6,sK5)),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k5_xboole_0)]) ).
cnf(g15,plain,
( ~ sPE(set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5))),powerset(set_difference(sK6,sK5)))
| ~ in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5))))
| subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_difference(sK6,sK5)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1)]) ).
cnf(g16,plain,
( ~ sPE(symmetric_difference(sK5,sK6),symmetric_difference(sK6,sK5))
| ~ sPE(symmetric_difference(sK6,sK5),set_union2(set_difference(sK6,sK5),set_difference(sK5,sK6)))
| sPE(symmetric_difference(sK5,sK6),set_union2(set_difference(sK6,sK5),set_difference(sK5,sK6))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g17,plain,
sPE(symmetric_difference(sK6,sK5),set_union2(set_difference(sK6,sK5),set_difference(sK5,sK6))),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_xboole_0)]) ).
cnf(g18,plain,
( ~ sPE(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))),powerset(set_difference(sK5,sK6)))
| sPE(powerset(set_difference(sK5,sK6)),set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g19,plain,
( ~ sPE(set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5))),powerset(set_difference(sK6,sK5)))
| sPE(powerset(set_difference(sK6,sK5)),set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5)))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g20,plain,
( ~ sPE(powerset(set_difference(sK5,sK6)),set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))))
| ~ sPE(powerset(set_difference(sK6,sK5)),set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5))))
| sPE(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),set_union2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))),set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5))))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g21,plain,
( ~ in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)),sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))))
| ~ subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_difference(sK6,sK5))
| in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)),set_difference(sK6,sK5)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g22,plain,
( ~ sPE(symmetric_difference(sK5,sK6),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5)))
| ~ in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)),set_difference(sK6,sK5))
| in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),symmetric_difference(sK5,sK6)),symmetric_difference(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g23,plain,
( ~ sPE(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))),powerset(set_difference(sK5,sK6)))
| ~ in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))))
| subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_difference(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1)]) ).
cnf(g24,plain,
( ~ sPE(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),set_union2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))),set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5)))))
| ~ in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))))
| in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK5,sK6))))
| in(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(powerset(set_difference(sK6,sK5)),powerset(set_difference(sK6,sK5)))) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g25,plain,
( ~ in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))))
| ~ subset(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_difference(sK5,sK6))
| in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),set_difference(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski)]) ).
cnf(g26,plain,
( ~ sPE(symmetric_difference(sK5,sK6),set_union2(set_difference(sK6,sK5),set_difference(sK5,sK6)))
| ~ in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),set_difference(sK5,sK6))
| in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),symmetric_difference(sK5,sK6)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0)]) ).
cnf(g27,plain,
( ~ sPE(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))))
| ~ sPE(symmetric_difference(sK5,sK6),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5)))
| ~ in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),symmetric_difference(sK5,sK6))
| in(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g28,plain,
sPE(sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5))),sK2(sK2(set_union2(powerset(set_difference(sK5,sK6)),powerset(set_difference(sK6,sK5))),powerset(symmetric_difference(sK5,sK6))),set_union2(set_difference(sK5,sK6),set_difference(sK6,sK5)))),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET938+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12 % Command : satcop --statistics %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jul 9 17:49:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 155.77/20.09 % symbols: 18
% 155.77/20.09 % clauses: 43
% 155.77/20.09 % start clauses: 1
% 155.77/20.09 % iterative deepening steps: 9212
% 155.77/20.09 % maximum path limit: 10
% 155.77/20.09 % literal attempts: 3867843
% 155.77/20.09 % depth failures: 2710014
% 155.77/20.09 % regularity failures: 91423
% 155.77/20.09 % tautology failures: 148670
% 155.77/20.09 % reductions: 159729
% 155.77/20.09 % extensions: 3707645
% 155.77/20.09 % SAT variables: 1060463
% 155.77/20.09 % SAT clauses: 1628523
% 155.77/20.09 % WalkSAT solutions: 1628500
% 155.77/20.09 % CDCL solutions: 16
% 155.77/20.09 % SZS status Theorem for theBenchmark
% 155.77/20.09 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------