TSTP Solution File: SEU150+2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 13:35:57 EDT 2022
% Result : Theorem 208.23s 208.54s
% Output : Refutation 208.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU150+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n014.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 : Mon Jun 20 00:10:48 EDT 2022
% 0.11/0.33 % CPUTime :
% 208.23/208.54 # Version: 1.3
% 208.23/208.54 # SZS status Theorem
% 208.23/208.54 # SZS output start CNFRefutation
% 208.23/208.54 fof(t9_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>B=C)))),input).
% 208.23/208.54 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>B=C))))),inference(assume_negation,status(cth),[t9_zfmisc_1])).
% 208.23/208.54 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(singleton(A)=unordered_pair(B,C)&B!=C)))),inference(fof_nnf,status(thm),[c11])).
% 208.23/208.54 fof(c13,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(singleton(X2)=unordered_pair(X3,X4)&X3!=X4)))),inference(variable_rename,status(thm),[c12])).
% 208.23/208.54 fof(c14,negated_conjecture,(singleton(skolem0001)=unordered_pair(skolem0002,skolem0003)&skolem0002!=skolem0003),inference(skolemize,status(esa),[c13])).
% 208.23/208.54 cnf(c16,negated_conjecture,skolem0002!=skolem0003,inference(split_conjunct,status(thm),[c14])).
% 208.23/208.54 cnf(symmetry,axiom,X196!=X195|X195=X196,eq_axiom).
% 208.23/208.54 cnf(transitivity,axiom,X201!=X200|X200!=X202|X201=X202,eq_axiom).
% 208.23/208.54 cnf(c15,negated_conjecture,singleton(skolem0001)=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c14])).
% 208.23/208.54 fof(t8_zfmisc_1,plain,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B)))),input).
% 208.23/208.54 fof(c17,plain,(![A]:(![B]:(![C]:(singleton(A)!=unordered_pair(B,C)|A=B)))),inference(fof_nnf,status(thm),[t8_zfmisc_1])).
% 208.23/208.54 fof(c18,plain,(![A]:(![B]:((![C]:singleton(A)!=unordered_pair(B,C))|A=B))),inference(shift_quantors,status(thm),[c17])).
% 208.23/208.54 fof(c20,plain,(![X5]:(![X6]:(![X7]:(singleton(X5)!=unordered_pair(X6,X7)|X5=X6)))),inference(shift_quantors,status(thm),[fof(c19,plain,(![X5]:(![X6]:((![X7]:singleton(X5)!=unordered_pair(X6,X7))|X5=X6))),inference(variable_rename,status(thm),[c18])).])).
% 208.23/208.54 cnf(c21,plain,singleton(X309)!=unordered_pair(X311,X310)|X309=X311,inference(split_conjunct,status(thm),[c20])).
% 208.23/208.54 cnf(c479,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c21, c15])).
% 208.23/208.54 cnf(c491,plain,X1223!=skolem0001|X1223=skolem0002,inference(resolution,status(thm),[c479, transitivity])).
% 208.23/208.54 fof(t69_enumset1,plain,(![A]:unordered_pair(A,A)=singleton(A)),input).
% 208.23/208.54 fof(c45,plain,(![X24]:unordered_pair(X24,X24)=singleton(X24)),inference(variable_rename,status(thm),[t69_enumset1])).
% 208.23/208.54 cnf(c46,plain,unordered_pair(X323,X323)=singleton(X323),inference(split_conjunct,status(thm),[c45])).
% 208.23/208.54 cnf(c523,plain,singleton(X358)=unordered_pair(X358,X358),inference(resolution,status(thm),[c46, symmetry])).
% 208.23/208.54 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),input).
% 208.23/208.54 fof(c261,axiom,(![A]:(![B]:(![C]:((C!=unordered_pair(A,B)|(![D]:((~in(D,C)|(D=A|D=B))&((D!=A&D!=B)|in(D,C)))))&((?[D]:((~in(D,C)|(D!=A&D!=B))&(in(D,C)|(D=A|D=B))))|C=unordered_pair(A,B)))))),inference(fof_nnf,status(thm),[d2_tarski])).
% 208.23/208.54 fof(c262,axiom,((![A]:(![B]:(![C]:(C!=unordered_pair(A,B)|((![D]:(~in(D,C)|(D=A|D=B)))&(![D]:((D!=A&D!=B)|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(D!=A&D!=B))&(in(D,C)|(D=A|D=B))))|C=unordered_pair(A,B)))))),inference(shift_quantors,status(thm),[c261])).
% 208.23/208.54 fof(c263,axiom,((![X152]:(![X153]:(![X154]:(X154!=unordered_pair(X152,X153)|((![X155]:(~in(X155,X154)|(X155=X152|X155=X153)))&(![X156]:((X156!=X152&X156!=X153)|in(X156,X154))))))))&(![X157]:(![X158]:(![X159]:((?[X160]:((~in(X160,X159)|(X160!=X157&X160!=X158))&(in(X160,X159)|(X160=X157|X160=X158))))|X159=unordered_pair(X157,X158)))))),inference(variable_rename,status(thm),[c262])).
% 208.23/208.54 fof(c265,axiom,(![X152]:(![X153]:(![X154]:(![X155]:(![X156]:(![X157]:(![X158]:(![X159]:((X154!=unordered_pair(X152,X153)|((~in(X155,X154)|(X155=X152|X155=X153))&((X156!=X152&X156!=X153)|in(X156,X154))))&(((~in(skolem0013(X157,X158,X159),X159)|(skolem0013(X157,X158,X159)!=X157&skolem0013(X157,X158,X159)!=X158))&(in(skolem0013(X157,X158,X159),X159)|(skolem0013(X157,X158,X159)=X157|skolem0013(X157,X158,X159)=X158)))|X159=unordered_pair(X157,X158))))))))))),inference(shift_quantors,status(thm),[fof(c264,axiom,((![X152]:(![X153]:(![X154]:(X154!=unordered_pair(X152,X153)|((![X155]:(~in(X155,X154)|(X155=X152|X155=X153)))&(![X156]:((X156!=X152&X156!=X153)|in(X156,X154))))))))&(![X157]:(![X158]:(![X159]:(((~in(skolem0013(X157,X158,X159),X159)|(skolem0013(X157,X158,X159)!=X157&skolem0013(X157,X158,X159)!=X158))&(in(skolem0013(X157,X158,X159),X159)|(skolem0013(X157,X158,X159)=X157|skolem0013(X157,X158,X159)=X158)))|X159=unordered_pair(X157,X158)))))),inference(skolemize,status(esa),[c263])).])).
% 208.23/208.54 fof(c266,axiom,(![X152]:(![X153]:(![X154]:(![X155]:(![X156]:(![X157]:(![X158]:(![X159]:(((X154!=unordered_pair(X152,X153)|(~in(X155,X154)|(X155=X152|X155=X153)))&((X154!=unordered_pair(X152,X153)|(X156!=X152|in(X156,X154)))&(X154!=unordered_pair(X152,X153)|(X156!=X153|in(X156,X154)))))&((((~in(skolem0013(X157,X158,X159),X159)|skolem0013(X157,X158,X159)!=X157)|X159=unordered_pair(X157,X158))&((~in(skolem0013(X157,X158,X159),X159)|skolem0013(X157,X158,X159)!=X158)|X159=unordered_pair(X157,X158)))&((in(skolem0013(X157,X158,X159),X159)|(skolem0013(X157,X158,X159)=X157|skolem0013(X157,X158,X159)=X158))|X159=unordered_pair(X157,X158)))))))))))),inference(distribute,status(thm),[c265])).
% 208.23/208.54 cnf(c267,axiom,X818!=unordered_pair(X820,X819)|~in(X817,X818)|X817=X820|X817=X819,inference(split_conjunct,status(thm),[c266])).
% 208.23/208.54 cnf(c1919,plain,~in(X2007,singleton(X2006))|X2007=X2006,inference(resolution,status(thm),[c267, c523])).
% 208.23/208.54 cnf(reflexivity,axiom,X193=X193,eq_axiom).
% 208.23/208.54 cnf(c269,axiom,X842!=unordered_pair(X844,X843)|X841!=X843|in(X841,X842),inference(split_conjunct,status(thm),[c266])).
% 208.23/208.54 cnf(c1990,plain,X10316!=skolem0003|in(X10316,singleton(skolem0001)),inference(resolution,status(thm),[c269, c15])).
% 208.23/208.54 cnf(c193200,plain,in(skolem0003,singleton(skolem0001)),inference(resolution,status(thm),[c1990, reflexivity])).
% 208.23/208.54 cnf(c193263,plain,skolem0003=skolem0001,inference(resolution,status(thm),[c193200, c1919])).
% 208.23/208.54 cnf(c193487,plain,skolem0003=skolem0002,inference(resolution,status(thm),[c193263, c491])).
% 208.23/208.54 cnf(c194466,plain,skolem0002=skolem0003,inference(resolution,status(thm),[c193487, symmetry])).
% 208.23/208.54 cnf(c195816,plain,$false,inference(resolution,status(thm),[c194466, c16])).
% 208.23/208.54 # SZS output end CNFRefutation
% 208.23/208.54
% 208.23/208.54 # Initial clauses : 132
% 208.23/208.54 # Processed clauses : 2161
% 208.23/208.54 # Factors computed : 98
% 208.23/208.54 # Resolvents computed: 195537
% 208.23/208.54 # Tautologies deleted: 72
% 208.23/208.54 # Forward subsumed : 5335
% 208.23/208.54 # Backward subsumed : 115
% 208.23/208.54 # -------- CPU Time ---------
% 208.23/208.54 # User time : 207.697 s
% 208.23/208.54 # System time : 0.413 s
% 208.23/208.54 # Total time : 208.110 s
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