TSTP Solution File: SET773+4 by SATCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n021.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 05:03:41 EDT 2022
% Result : Theorem 10.07s 1.72s
% Output : Proof 10.07s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
equivalence(sK21,sK20),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g1,plain,
equivalence(sK22,sK20),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g2,plain,
~ equivalence(sK23,sK20),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g3,plain,
( apply(sK22,sK17(sK22,sK20),sK18(sK22,sK20))
| ~ sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g4,plain,
( apply(sK22,sK18(sK22,sK20),sK19(sK22,sK20))
| ~ sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g5,plain,
( member(sK10(sK20,sK23),sK20)
| equivalence(sK23,sK20)
| sP2(sK20,sK23)
| sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g6,plain,
( ~ apply(sK23,sK10(sK20,sK23),sK10(sK20,sK23))
| equivalence(sK23,sK20)
| sP2(sK20,sK23)
| sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g7,plain,
( ~ apply(sK22,sK16(sK22,sK20),sK16(sK22,sK20))
| pre_order(sK22,sK20)
| sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g8,plain,
( ~ apply(sK21,sK17(sK21,sK20),sK19(sK21,sK20))
| ~ sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g9,plain,
( ~ apply(sK21,sK16(sK21,sK20),sK16(sK21,sK20))
| pre_order(sK21,sK20)
| sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g10,plain,
( member(sK16(sK21,sK20),sK20)
| pre_order(sK21,sK20)
| sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g11,plain,
( ~ member(sK12(sK20,sK23),sK20)
| ~ member(sK11(sK20,sK23),sK20)
| ~ apply(sK21,sK12(sK20,sK23),sK11(sK20,sK23))
| ~ apply(sK22,sK12(sK20,sK23),sK11(sK20,sK23))
| apply(sK23,sK12(sK20,sK23),sK11(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g12,plain,
( ~ apply(sK23,sK12(sK20,sK23),sK11(sK20,sK23))
| ~ sP2(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g13,plain,
( ~ member(sK10(sK20,sK23),sK20)
| ~ member(sK10(sK20,sK23),sK20)
| ~ apply(sK21,sK10(sK20,sK23),sK10(sK20,sK23))
| ~ apply(sK22,sK10(sK20,sK23),sK10(sK20,sK23))
| apply(sK23,sK10(sK20,sK23),sK10(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g14,plain,
( ~ member(sK10(sK20,sK23),sK20)
| ~ equivalence(sK22,sK20)
| apply(sK22,sK10(sK20,sK23),sK10(sK20,sK23)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g15,plain,
( ~ member(sK10(sK20,sK23),sK20)
| ~ equivalence(sK21,sK20)
| apply(sK21,sK10(sK20,sK23),sK10(sK20,sK23)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g16,plain,
( ~ apply(sK22,sK17(sK22,sK20),sK19(sK22,sK20))
| ~ sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g17,plain,
( member(sK16(sK22,sK20),sK20)
| pre_order(sK22,sK20)
| sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g18,plain,
( member(sK17(sK21,sK20),sK20)
| ~ sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g19,plain,
( ~ member(sK13(sK20,sK23),sK20)
| ~ member(sK15(sK20,sK23),sK20)
| ~ apply(sK21,sK13(sK20,sK23),sK15(sK20,sK23))
| ~ apply(sK22,sK13(sK20,sK23),sK15(sK20,sK23))
| apply(sK23,sK13(sK20,sK23),sK15(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g20,plain,
( ~ apply(sK23,sK13(sK20,sK23),sK15(sK20,sK23))
| ~ sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g21,plain,
( apply(sK21,sK17(sK21,sK20),sK18(sK21,sK20))
| ~ sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g22,plain,
( apply(sK21,sK18(sK21,sK20),sK19(sK21,sK20))
| ~ sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g23,plain,
( ~ member(sK14(sK20,sK23),sK20)
| ~ member(sK15(sK20,sK23),sK20)
| ~ apply(sK23,sK14(sK20,sK23),sK15(sK20,sK23))
| apply(sK22,sK14(sK20,sK23),sK15(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g24,plain,
( apply(sK23,sK14(sK20,sK23),sK15(sK20,sK23))
| ~ sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g25,plain,
( member(sK15(sK20,sK23),sK20)
| ~ sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g26,plain,
( member(sK14(sK20,sK23),sK20)
| ~ sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g27,plain,
( ~ member(sK14(sK20,sK23),sK20)
| ~ member(sK15(sK20,sK23),sK20)
| ~ apply(sK23,sK14(sK20,sK23),sK15(sK20,sK23))
| apply(sK21,sK14(sK20,sK23),sK15(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g28,plain,
( ~ member(sK11(sK20,sK23),sK20)
| ~ member(sK12(sK20,sK23),sK20)
| ~ apply(sK23,sK11(sK20,sK23),sK12(sK20,sK23))
| apply(sK21,sK11(sK20,sK23),sK12(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g29,plain,
( apply(sK23,sK11(sK20,sK23),sK12(sK20,sK23))
| ~ sP2(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g30,plain,
( member(sK11(sK20,sK23),sK20)
| ~ sP2(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g31,plain,
( ~ member(sK11(sK20,sK23),sK20)
| ~ member(sK12(sK20,sK23),sK20)
| ~ equivalence(sK21,sK20)
| ~ apply(sK21,sK11(sK20,sK23),sK12(sK20,sK23))
| apply(sK21,sK12(sK20,sK23),sK11(sK20,sK23)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g32,plain,
( ~ member(sK11(sK20,sK23),sK20)
| ~ member(sK12(sK20,sK23),sK20)
| ~ apply(sK23,sK11(sK20,sK23),sK12(sK20,sK23))
| apply(sK22,sK11(sK20,sK23),sK12(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g33,plain,
( ~ member(sK11(sK20,sK23),sK20)
| ~ member(sK12(sK20,sK23),sK20)
| ~ equivalence(sK22,sK20)
| ~ apply(sK22,sK11(sK20,sK23),sK12(sK20,sK23))
| apply(sK22,sK12(sK20,sK23),sK11(sK20,sK23)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g34,plain,
( member(sK12(sK20,sK23),sK20)
| ~ sP2(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g35,plain,
( apply(sK23,sK13(sK20,sK23),sK14(sK20,sK23))
| ~ sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g36,plain,
( member(sK13(sK20,sK23),sK20)
| ~ sP3(sK20,sK23) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g37,plain,
( ~ member(sK13(sK20,sK23),sK20)
| ~ member(sK14(sK20,sK23),sK20)
| ~ apply(sK23,sK13(sK20,sK23),sK14(sK20,sK23))
| apply(sK21,sK13(sK20,sK23),sK14(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g38,plain,
( ~ member(sK13(sK20,sK23),sK20)
| ~ member(sK14(sK20,sK23),sK20)
| ~ apply(sK23,sK13(sK20,sK23),sK14(sK20,sK23))
| apply(sK22,sK13(sK20,sK23),sK14(sK20,sK23)) ),
inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIII09)]) ).
cnf(g39,plain,
( member(sK18(sK22,sK20),sK20)
| ~ sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g40,plain,
( ~ member(sK16(sK21,sK20),sK20)
| ~ equivalence(sK21,sK20)
| apply(sK21,sK16(sK21,sK20),sK16(sK21,sK20)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g41,plain,
( member(sK19(sK21,sK20),sK20)
| ~ sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g42,plain,
( ~ member(sK17(sK21,sK20),sK20)
| ~ member(sK18(sK21,sK20),sK20)
| ~ member(sK19(sK21,sK20),sK20)
| ~ equivalence(sK21,sK20)
| ~ apply(sK21,sK17(sK21,sK20),sK18(sK21,sK20))
| ~ apply(sK21,sK18(sK21,sK20),sK19(sK21,sK20))
| apply(sK21,sK17(sK21,sK20),sK19(sK21,sK20)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g43,plain,
( member(sK18(sK21,sK20),sK20)
| ~ sP4(sK21,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g44,plain,
( ~ member(sK16(sK22,sK20),sK20)
| ~ equivalence(sK22,sK20)
| apply(sK22,sK16(sK22,sK20),sK16(sK22,sK20)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g45,plain,
( member(sK17(sK22,sK20),sK20)
| ~ sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g46,plain,
( member(sK19(sK22,sK20),sK20)
| ~ sP4(sK22,sK20) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g47,plain,
( ~ member(sK17(sK22,sK20),sK20)
| ~ member(sK18(sK22,sK20),sK20)
| ~ member(sK19(sK22,sK20),sK20)
| ~ equivalence(sK22,sK20)
| ~ apply(sK22,sK17(sK22,sK20),sK18(sK22,sK20))
| ~ apply(sK22,sK18(sK22,sK20),sK19(sK22,sK20))
| apply(sK22,sK17(sK22,sK20),sK19(sK22,sK20)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',equivalence)]) ).
cnf(g48,plain,
( ~ member(sK13(sK20,sK23),sK20)
| ~ member(sK14(sK20,sK23),sK20)
| ~ member(sK15(sK20,sK23),sK20)
| ~ apply(sK22,sK13(sK20,sK23),sK14(sK20,sK23))
| ~ apply(sK22,sK14(sK20,sK23),sK15(sK20,sK23))
| ~ pre_order(sK22,sK20)
| apply(sK22,sK13(sK20,sK23),sK15(sK20,sK23)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
cnf(g49,plain,
( ~ member(sK13(sK20,sK23),sK20)
| ~ member(sK14(sK20,sK23),sK20)
| ~ member(sK15(sK20,sK23),sK20)
| ~ apply(sK21,sK13(sK20,sK23),sK14(sK20,sK23))
| ~ apply(sK21,sK14(sK20,sK23),sK15(sK20,sK23))
| ~ pre_order(sK21,sK20)
| apply(sK21,sK13(sK20,sK23),sK15(sK20,sK23)) ),
inference(ground_cnf,[],[file('Axioms/SET006+2.ax',pre_order)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : satcop --statistics %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 16:24:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.07/1.72 % symbols: 49
% 10.07/1.72 % clauses: 124
% 10.07/1.72 % start clauses: 6
% 10.07/1.72 % iterative deepening steps: 1054
% 10.07/1.72 % maximum path limit: 3
% 10.07/1.72 % literal attempts: 1436638
% 10.07/1.72 % depth failures: 1223751
% 10.07/1.72 % regularity failures: 21159
% 10.07/1.72 % tautology failures: 46646
% 10.07/1.72 % reductions: 36113
% 10.07/1.72 % extensions: 1395392
% 10.07/1.72 % SAT variables: 561165
% 10.07/1.72 % SAT clauses: 625738
% 10.07/1.72 % WalkSAT solutions: 625723
% 10.07/1.72 % CDCL solutions: 13
% 10.07/1.72 % SZS status Theorem for theBenchmark
% 10.07/1.72 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------