%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : 300s
% DateTime : Thu May 9 17:40:23 EDT 2024
% Result : Theorem 5.35s 5.52s
% Output : Refutation 5.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET927+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:30:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 5.35/5.52 % Version: 1.5
% 5.35/5.52 % SZS status Theorem
% 5.35/5.52 % SZS output start CNFRefutation
% 5.35/5.52 cnf(symmetry,axiom,X19!=X18|X18=X19,theory(equality)).
% 5.35/5.52 fof(l39_zfmisc_1,axiom,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>((~in(A,C))&(in(B,C)|A=B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l39_zfmisc_1)).
% 5.35/5.52 fof(c5,plain,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>(~in(A,C)&(in(B,C)|A=B)))))),inference(fof_simplification,[status(thm)],[l39_zfmisc_1])).
% 5.35/5.52 fof(c6,plain,(![A]:(![B]:(![C]:((set_difference(unordered_pair(A,B),C)!=singleton(A)|(~in(A,C)&(in(B,C)|A=B)))&((in(A,C)|(~in(B,C)&A!=B))|set_difference(unordered_pair(A,B),C)=singleton(A)))))),inference(fof_nnf,[status(thm)],[c5])).
% 5.35/5.52 fof(c7,plain,((![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)!=singleton(A)|(~in(A,C)&(in(B,C)|A=B))))))&(![A]:(![B]:(![C]:((in(A,C)|(~in(B,C)&A!=B))|set_difference(unordered_pair(A,B),C)=singleton(A)))))),inference(shift_quantors,[status(thm)],[c6])).
% 5.35/5.52 fof(c9,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:((set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|(~in(X2,X4)&(in(X3,X4)|X2=X3)))&((in(X5,X7)|(~in(X6,X7)&X5!=X6))|set_difference(unordered_pair(X5,X6),X7)=singleton(X5))))))))),inference(shift_quantors,[status(thm)],[fof(c8,plain,((![X2]:(![X3]:(![X4]:(set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|(~in(X2,X4)&(in(X3,X4)|X2=X3))))))&(![X5]:(![X6]:(![X7]:((in(X5,X7)|(~in(X6,X7)&X5!=X6))|set_difference(unordered_pair(X5,X6),X7)=singleton(X5)))))),inference(variable_rename,[status(thm)],[c7])).])).
% 5.35/5.52 fof(c10,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(![X7]:(((set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|~in(X2,X4))&(set_difference(unordered_pair(X2,X3),X4)!=singleton(X2)|(in(X3,X4)|X2=X3)))&(((in(X5,X7)|~in(X6,X7))|set_difference(unordered_pair(X5,X6),X7)=singleton(X5))&((in(X5,X7)|X5!=X6)|set_difference(unordered_pair(X5,X6),X7)=singleton(X5)))))))))),inference(distribute,[status(thm)],[c9])).
% 5.35/5.52 cnf(c12,plain,set_difference(unordered_pair(X89,X87),X88)!=singleton(X89)|in(X87,X88)|X89=X87,inference(split_conjunct,[status(thm)],[c10])).
% 5.35/5.52 fof(t70_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>((~in(A,C))&(in(B,C)|A=B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t70_zfmisc_1)).
% 5.35/5.52 fof(c15,negated_conjecture,(~(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>((~in(A,C))&(in(B,C)|A=B))))))),inference(assume_negation,[status(cth)],[t70_zfmisc_1])).
% 5.35/5.52 fof(c16,negated_conjecture,(~(![A]:(![B]:(![C]:(set_difference(unordered_pair(A,B),C)=singleton(A)<=>(~in(A,C)&(in(B,C)|A=B))))))),inference(fof_simplification,[status(thm)],[c15])).
% 5.35/5.52 fof(c17,negated_conjecture,(?[A]:(?[B]:(?[C]:((set_difference(unordered_pair(A,B),C)!=singleton(A)|(in(A,C)|(~in(B,C)&A!=B)))&(set_difference(unordered_pair(A,B),C)=singleton(A)|(~in(A,C)&(in(B,C)|A=B))))))),inference(fof_nnf,[status(thm)],[c16])).
% 5.35/5.52 fof(c18,negated_conjecture,(?[X8]:(?[X9]:(?[X10]:((set_difference(unordered_pair(X8,X9),X10)!=singleton(X8)|(in(X8,X10)|(~in(X9,X10)&X8!=X9)))&(set_difference(unordered_pair(X8,X9),X10)=singleton(X8)|(~in(X8,X10)&(in(X9,X10)|X8=X9))))))),inference(variable_rename,[status(thm)],[c17])).
% 5.35/5.52 fof(c19,negated_conjecture,((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|(in(skolem0001,skolem0003)|(~in(skolem0002,skolem0003)&skolem0001!=skolem0002)))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|(~in(skolem0001,skolem0003)&(in(skolem0002,skolem0003)|skolem0001=skolem0002)))),inference(skolemize,[status(esa)],[c18])).
% 5.35/5.52 fof(c20,negated_conjecture,(((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|(in(skolem0001,skolem0003)|~in(skolem0002,skolem0003)))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|(in(skolem0001,skolem0003)|skolem0001!=skolem0002)))&((set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|~in(skolem0001,skolem0003))&(set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|(in(skolem0002,skolem0003)|skolem0001=skolem0002)))),inference(distribute,[status(thm)],[c19])).
% 5.35/5.52 cnf(c24,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|in(skolem0002,skolem0003)|skolem0001=skolem0002,inference(split_conjunct,[status(thm)],[c20])).
% 5.35/5.52 cnf(c224,plain,in(skolem0002,skolem0003)|skolem0001=skolem0002,inference(resolution,[status(thm)],[c24, c12])).
% 5.35/5.52 cnf(c21,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|in(skolem0001,skolem0003)|~in(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c20])).
% 5.35/5.52 cnf(c13,plain,in(X105,X104)|~in(X106,X104)|set_difference(unordered_pair(X105,X106),X104)=singleton(X105),inference(split_conjunct,[status(thm)],[c10])).
% 5.35/5.52 cnf(c244,plain,skolem0001=skolem0002|in(X1267,skolem0003)|set_difference(unordered_pair(X1267,skolem0002),skolem0003)=singleton(X1267),inference(resolution,[status(thm)],[c224, c13])).
% 5.35/5.52 cnf(c10470,plain,skolem0001=skolem0002|in(skolem0001,skolem0003)|~in(skolem0002,skolem0003),inference(resolution,[status(thm)],[c244, c21])).
% 5.35/5.52 cnf(c10541,plain,skolem0001=skolem0002|in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c10470, c224])).
% 5.35/5.52 cnf(c10574,plain,in(skolem0001,skolem0003)|skolem0002=skolem0001,inference(resolution,[status(thm)],[c10541, symmetry])).
% 5.35/5.52 cnf(reflexivity,axiom,X17=X17,theory(equality)).
% 5.35/5.52 cnf(c3,axiom,X61!=X58|X59!=X60|~in(X61,X59)|in(X58,X60),theory(equality)).
% 5.35/5.52 cnf(c22,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)!=singleton(skolem0001)|in(skolem0001,skolem0003)|skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c20])).
% 5.35/5.52 cnf(c14,plain,in(X123,X122)|X123!=X124|set_difference(unordered_pair(X123,X124),X122)=singleton(X123),inference(split_conjunct,[status(thm)],[c10])).
% 5.35/5.52 cnf(c251,plain,in(skolem0002,skolem0003)|in(skolem0001,X1271)|set_difference(unordered_pair(skolem0001,skolem0002),X1271)=singleton(skolem0001),inference(resolution,[status(thm)],[c224, c14])).
% 5.35/5.52 cnf(c10634,plain,in(skolem0002,skolem0003)|in(skolem0001,skolem0003)|skolem0001!=skolem0002,inference(resolution,[status(thm)],[c251, c22])).
% 5.35/5.52 cnf(c11411,plain,in(skolem0002,skolem0003)|in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c10634, c10541])).
% 5.35/5.52 cnf(c11420,plain,in(skolem0001,skolem0003)|skolem0002!=X1382|skolem0003!=X1383|in(X1382,X1383),inference(resolution,[status(thm)],[c11411, c3])).
% 5.35/5.52 cnf(c13472,plain,in(skolem0001,skolem0003)|skolem0002!=X1384|in(X1384,skolem0003),inference(resolution,[status(thm)],[c11420, reflexivity])).
% 5.35/5.52 cnf(c13476,plain,in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c13472, c10574])).
% 5.35/5.52 cnf(c11,plain,set_difference(unordered_pair(X75,X73),X74)!=singleton(X75)|~in(X75,X74),inference(split_conjunct,[status(thm)],[c10])).
% 5.35/5.52 cnf(c23,negated_conjecture,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001)|~in(skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c20])).
% 5.35/5.52 cnf(c13485,plain,set_difference(unordered_pair(skolem0001,skolem0002),skolem0003)=singleton(skolem0001),inference(resolution,[status(thm)],[c13476, c23])).
% 5.35/5.52 cnf(c13929,plain,~in(skolem0001,skolem0003),inference(resolution,[status(thm)],[c13485, c11])).
% 5.35/5.52 cnf(c14035,plain,$false,inference(resolution,[status(thm)],[c13929, c13476])).
% 5.35/5.52 % SZS output end CNFRefutation
% 5.35/5.52
% 5.35/5.52 % Initial clauses : 20
% 5.35/5.52 % Processed clauses : 440
% 5.35/5.52 % Factors computed : 11
% 5.35/5.52 % Resolvents computed: 13992
% 5.35/5.52 % Tautologies deleted: 25
% 5.35/5.52 % Forward subsumed : 400
% 5.35/5.52 % Backward subsumed : 171
% 5.35/5.52 % -------- CPU Time ---------
% 5.35/5.52 % User time : 5.111 s
% 5.35/5.52 % System time : 0.042 s
% 5.35/5.52 % Total time : 5.153 s
%------------------------------------------------------------------------------