%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET881+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 : 300s
% DateTime : Thu May 9 17:40:18 EDT 2024
% Result : Theorem 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SET881+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed May 8 18:54:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.47/0.65 % Version: 1.5
% 0.47/0.65 % SZS status Theorem
% 0.47/0.65 % SZS output start CNFRefutation
% 0.47/0.65 fof(t22_zfmisc_1,conjecture,(![A]:(![B]:set_difference(singleton(A),unordered_pair(A,B))=empty_set)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t22_zfmisc_1)).
% 0.47/0.65 fof(c5,negated_conjecture,(~(![A]:(![B]:set_difference(singleton(A),unordered_pair(A,B))=empty_set))),inference(assume_negation,[status(cth)],[t22_zfmisc_1])).
% 0.47/0.65 fof(c6,negated_conjecture,(?[A]:(?[B]:set_difference(singleton(A),unordered_pair(A,B))!=empty_set)),inference(fof_nnf,[status(thm)],[c5])).
% 0.47/0.65 fof(c7,negated_conjecture,(?[X2]:(?[X3]:set_difference(singleton(X2),unordered_pair(X2,X3))!=empty_set)),inference(variable_rename,[status(thm)],[c6])).
% 0.47/0.65 fof(c8,negated_conjecture,set_difference(singleton(skolem0001),unordered_pair(skolem0001,skolem0002))!=empty_set,inference(skolemize,[status(esa)],[c7])).
% 0.47/0.65 cnf(c9,negated_conjecture,set_difference(singleton(skolem0001),unordered_pair(skolem0001,skolem0002))!=empty_set,inference(split_conjunct,[status(thm)],[c8])).
% 0.47/0.65 fof(l36_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l36_zfmisc_1)).
% 0.47/0.65 fof(c17,plain,(![A]:(![B]:((set_difference(singleton(A),B)!=empty_set|in(A,B))&(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(fof_nnf,[status(thm)],[l36_zfmisc_1])).
% 0.47/0.65 fof(c18,plain,((![A]:(![B]:(set_difference(singleton(A),B)!=empty_set|in(A,B))))&(![A]:(![B]:(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(shift_quantors,[status(thm)],[c17])).
% 0.47/0.65 fof(c20,plain,(![X6]:(![X7]:(![X8]:(![X9]:((set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))&(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))))),inference(shift_quantors,[status(thm)],[fof(c19,plain,((![X6]:(![X7]:(set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))))&(![X8]:(![X9]:(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))),inference(variable_rename,[status(thm)],[c18])).])).
% 0.47/0.65 cnf(c22,plain,~in(X59,X58)|set_difference(singleton(X59),X58)=empty_set,inference(split_conjunct,[status(thm)],[c20])).
% 0.47/0.65 cnf(reflexivity,axiom,X23=X23,theory(equality)).
% 0.47/0.65 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_tarski)).
% 0.47/0.65 fof(c24,plain,(![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])).
% 0.47/0.65 fof(c25,plain,((![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)],[c24])).
% 0.47/0.65 fof(c26,plain,((![X10]:(![X11]:(![X12]:(X12!=unordered_pair(X10,X11)|((![X13]:(~in(X13,X12)|(X13=X10|X13=X11)))&(![X14]:((X14!=X10&X14!=X11)|in(X14,X12))))))))&(![X15]:(![X16]:(![X17]:((?[X18]:((~in(X18,X17)|(X18!=X15&X18!=X16))&(in(X18,X17)|(X18=X15|X18=X16))))|X17=unordered_pair(X15,X16)))))),inference(variable_rename,[status(thm)],[c25])).
% 0.47/0.65 fof(c28,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:((X12!=unordered_pair(X10,X11)|((~in(X13,X12)|(X13=X10|X13=X11))&((X14!=X10&X14!=X11)|in(X14,X12))))&(((~in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)!=X15&skolem0005(X15,X16,X17)!=X16))&(in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)=X15|skolem0005(X15,X16,X17)=X16)))|X17=unordered_pair(X15,X16))))))))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,((![X10]:(![X11]:(![X12]:(X12!=unordered_pair(X10,X11)|((![X13]:(~in(X13,X12)|(X13=X10|X13=X11)))&(![X14]:((X14!=X10&X14!=X11)|in(X14,X12))))))))&(![X15]:(![X16]:(![X17]:(((~in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)!=X15&skolem0005(X15,X16,X17)!=X16))&(in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)=X15|skolem0005(X15,X16,X17)=X16)))|X17=unordered_pair(X15,X16)))))),inference(skolemize,[status(esa)],[c26])).])).
% 0.47/0.65 fof(c29,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(((X12!=unordered_pair(X10,X11)|(~in(X13,X12)|(X13=X10|X13=X11)))&((X12!=unordered_pair(X10,X11)|(X14!=X10|in(X14,X12)))&(X12!=unordered_pair(X10,X11)|(X14!=X11|in(X14,X12)))))&((((~in(skolem0005(X15,X16,X17),X17)|skolem0005(X15,X16,X17)!=X15)|X17=unordered_pair(X15,X16))&((~in(skolem0005(X15,X16,X17),X17)|skolem0005(X15,X16,X17)!=X16)|X17=unordered_pair(X15,X16)))&((in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)=X15|skolem0005(X15,X16,X17)=X16))|X17=unordered_pair(X15,X16)))))))))))),inference(distribute,[status(thm)],[c28])).
% 0.47/0.65 cnf(c31,plain,X95!=unordered_pair(X97,X96)|X98!=X97|in(X98,X95),inference(split_conjunct,[status(thm)],[c29])).
% 0.47/0.65 cnf(c80,plain,X101!=X100|in(X101,unordered_pair(X100,X99)),inference(resolution,[status(thm)],[c31, reflexivity])).
% 0.47/0.65 cnf(c83,plain,in(X102,unordered_pair(X102,X103)),inference(resolution,[status(thm)],[c80, reflexivity])).
% 0.47/0.65 cnf(c85,plain,set_difference(singleton(X129),unordered_pair(X129,X130))=empty_set,inference(resolution,[status(thm)],[c83, c22])).
% 0.47/0.65 cnf(c103,plain,$false,inference(resolution,[status(thm)],[c85, c9])).
% 0.47/0.65 % SZS output end CNFRefutation
% 0.47/0.65
% 0.47/0.65 % Initial clauses : 22
% 0.47/0.65 % Processed clauses : 36
% 0.47/0.65 % Factors computed : 4
% 0.47/0.65 % Resolvents computed: 67
% 0.47/0.65 % Tautologies deleted: 3
% 0.47/0.65 % Forward subsumed : 12
% 0.47/0.65 % Backward subsumed : 0
% 0.47/0.65 % -------- CPU Time ---------
% 0.47/0.65 % User time : 0.248 s
% 0.47/0.65 % System time : 0.023 s
% 0.47/0.65 % Total time : 0.271 s
%------------------------------------------------------------------------------