%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET880+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 17:40:17 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET880+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:39:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % Version: 1.5
% 0.21/0.54 % SZS status Theorem
% 0.21/0.54 % SZS output start CNFRefutation
% 0.21/0.54 fof(t21_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),singleton(B))=empty_set=>A=B))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_zfmisc_1)).
% 0.21/0.54 fof(c4,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),singleton(B))=empty_set=>A=B)))),inference(assume_negation,[status(cth)],[t21_zfmisc_1])).
% 0.21/0.54 fof(c5,negated_conjecture,(?[A]:(?[B]:(set_difference(singleton(A),singleton(B))=empty_set&A!=B))),inference(fof_nnf,[status(thm)],[c4])).
% 0.21/0.54 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(set_difference(singleton(X2),singleton(X3))=empty_set&X2!=X3))),inference(variable_rename,[status(thm)],[c5])).
% 0.21/0.54 fof(c7,negated_conjecture,(set_difference(singleton(skolem0001),singleton(skolem0002))=empty_set&skolem0001!=skolem0002),inference(skolemize,[status(esa)],[c6])).
% 0.21/0.54 cnf(c9,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c7])).
% 0.21/0.54 cnf(c8,negated_conjecture,set_difference(singleton(skolem0001),singleton(skolem0002))=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.21/0.54 fof(l36_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l36_zfmisc_1)).
% 0.21/0.54 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])).
% 0.21/0.54 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])).
% 0.21/0.54 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])).])).
% 0.21/0.54 cnf(c21,plain,set_difference(singleton(X43),X42)!=empty_set|in(X43,X42),inference(split_conjunct,[status(thm)],[c20])).
% 0.21/0.54 cnf(c51,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,[status(thm)],[c21, c8])).
% 0.21/0.54 cnf(reflexivity,axiom,X19=X19,theory(equality)).
% 0.21/0.54 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.21/0.54 fof(c24,plain,(![A]:(![B]:((B!=singleton(A)|(![C]:((~in(C,B)|C=A)&(C!=A|in(C,B)))))&((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(fof_nnf,[status(thm)],[d1_tarski])).
% 0.21/0.54 fof(c25,plain,((![A]:(![B]:(B!=singleton(A)|((![C]:(~in(C,B)|C=A))&(![C]:(C!=A|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|C!=A)&(in(C,B)|C=A)))|B=singleton(A))))),inference(shift_quantors,[status(thm)],[c24])).
% 0.21/0.54 fof(c26,plain,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|X16!=X14)&(in(X16,X15)|X16=X14)))|X15=singleton(X14))))),inference(variable_rename,[status(thm)],[c25])).
% 0.21/0.54 fof(c28,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((X11!=singleton(X10)|((~in(X12,X11)|X12=X10)&(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))))))),inference(shift_quantors,[status(thm)],[fof(c27,plain,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))),inference(skolemize,[status(esa)],[c26])).])).
% 0.21/0.54 fof(c29,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((X11!=singleton(X10)|(~in(X12,X11)|X12=X10))&(X11!=singleton(X10)|(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)|X15=singleton(X14))&((in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14)|X15=singleton(X14)))))))))),inference(distribute,[status(thm)],[c28])).
% 0.21/0.54 cnf(c30,plain,X48!=singleton(X46)|~in(X47,X48)|X47=X46,inference(split_conjunct,[status(thm)],[c29])).
% 0.21/0.54 cnf(c54,plain,~in(X54,singleton(X53))|X54=X53,inference(resolution,[status(thm)],[c30, reflexivity])).
% 0.21/0.54 cnf(c56,plain,skolem0001=skolem0002,inference(resolution,[status(thm)],[c54, c51])).
% 0.21/0.54 cnf(c58,plain,$false,inference(resolution,[status(thm)],[c56, c9])).
% 0.21/0.54 % SZS output end CNFRefutation
% 0.21/0.54
% 0.21/0.54 % Initial clauses : 19
% 0.21/0.54 % Processed clauses : 21
% 0.21/0.54 % Factors computed : 3
% 0.21/0.54 % Resolvents computed: 22
% 0.21/0.54 % Tautologies deleted: 3
% 0.21/0.54 % Forward subsumed : 2
% 0.21/0.54 % Backward subsumed : 0
% 0.21/0.54 % -------- CPU Time ---------
% 0.21/0.54 % User time : 0.168 s
% 0.21/0.54 % System time : 0.016 s
% 0.21/0.54 % Total time : 0.184 s
%------------------------------------------------------------------------------