%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 17:40:40 EDT 2024
% Result : Theorem 0.23s 0.58s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed May 8 11:58:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.23/0.58 % Version: 1.5
% 0.23/0.58 % SZS status Theorem
% 0.23/0.58 % SZS output start CNFRefutation
% 0.23/0.58 fof(t8_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t8_zfmisc_1)).
% 0.23/0.58 fof(c4,negated_conjecture,(~(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B))))),inference(assume_negation,[status(cth)],[t8_zfmisc_1])).
% 0.23/0.58 fof(c5,negated_conjecture,(?[A]:(?[B]:(?[C]:(singleton(A)=unordered_pair(B,C)&A!=B)))),inference(fof_nnf,[status(thm)],[c4])).
% 0.23/0.58 fof(c6,negated_conjecture,(?[A]:(?[B]:((?[C]:singleton(A)=unordered_pair(B,C))&A!=B))),inference(shift_quantors,[status(thm)],[c5])).
% 0.23/0.58 fof(c7,negated_conjecture,(?[X2]:(?[X3]:((?[X4]:singleton(X2)=unordered_pair(X3,X4))&X2!=X3))),inference(variable_rename,[status(thm)],[c6])).
% 0.23/0.58 fof(c8,negated_conjecture,(singleton(skolem0001)=unordered_pair(skolem0002,skolem0003)&skolem0001!=skolem0002),inference(skolemize,[status(esa)],[c7])).
% 0.23/0.58 cnf(c10,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c8])).
% 0.23/0.58 cnf(symmetry,axiom,X29!=X28|X28=X29,theory(equality)).
% 0.23/0.58 cnf(reflexivity,axiom,X27=X27,theory(equality)).
% 0.23/0.58 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.23/0.58 fof(c30,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])).
% 0.23/0.58 fof(c31,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)],[c30])).
% 0.23/0.58 fof(c32,plain,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|X22!=X20)&(in(X22,X21)|X22=X20)))|X21=singleton(X20))))),inference(variable_rename,[status(thm)],[c31])).
% 0.23/0.58 fof(c34,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X17!=singleton(X16)|((~in(X18,X17)|X18=X16)&(X19!=X16|in(X19,X17))))&(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)&(in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20))|X21=singleton(X20))))))))),inference(shift_quantors,[status(thm)],[fof(c33,plain,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)&(in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20))|X21=singleton(X20))))),inference(skolemize,[status(esa)],[c32])).])).
% 0.23/0.58 fof(c35,plain,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((X17!=singleton(X16)|(~in(X18,X17)|X18=X16))&(X17!=singleton(X16)|(X19!=X16|in(X19,X17))))&(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)|X21=singleton(X20))&((in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20)|X21=singleton(X20)))))))))),inference(distribute,[status(thm)],[c34])).
% 0.23/0.58 cnf(c36,plain,X65!=singleton(X64)|~in(X66,X65)|X66=X64,inference(split_conjunct,[status(thm)],[c35])).
% 0.23/0.58 cnf(c73,plain,~in(X67,singleton(X68))|X67=X68,inference(resolution,[status(thm)],[c36, reflexivity])).
% 0.23/0.58 cnf(c9,negated_conjecture,singleton(skolem0001)=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,[status(thm)],[c8])).
% 0.23/0.58 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)).
% 0.23/0.58 fof(c18,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])).
% 0.23/0.58 fof(c19,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)],[c18])).
% 0.23/0.58 fof(c20,plain,((![X7]:(![X8]:(![X9]:(X9!=unordered_pair(X7,X8)|((![X10]:(~in(X10,X9)|(X10=X7|X10=X8)))&(![X11]:((X11!=X7&X11!=X8)|in(X11,X9))))))))&(![X12]:(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|(X15!=X12&X15!=X13))&(in(X15,X14)|(X15=X12|X15=X13))))|X14=unordered_pair(X12,X13)))))),inference(variable_rename,[status(thm)],[c19])).
% 0.23/0.58 fof(c22,plain,(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X9!=unordered_pair(X7,X8)|((~in(X10,X9)|(X10=X7|X10=X8))&((X11!=X7&X11!=X8)|in(X11,X9))))&(((~in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)!=X12&skolem0006(X12,X13,X14)!=X13))&(in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)=X12|skolem0006(X12,X13,X14)=X13)))|X14=unordered_pair(X12,X13))))))))))),inference(shift_quantors,[status(thm)],[fof(c21,plain,((![X7]:(![X8]:(![X9]:(X9!=unordered_pair(X7,X8)|((![X10]:(~in(X10,X9)|(X10=X7|X10=X8)))&(![X11]:((X11!=X7&X11!=X8)|in(X11,X9))))))))&(![X12]:(![X13]:(![X14]:(((~in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)!=X12&skolem0006(X12,X13,X14)!=X13))&(in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)=X12|skolem0006(X12,X13,X14)=X13)))|X14=unordered_pair(X12,X13)))))),inference(skolemize,[status(esa)],[c20])).])).
% 0.23/0.58 fof(c23,plain,(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X9!=unordered_pair(X7,X8)|(~in(X10,X9)|(X10=X7|X10=X8)))&((X9!=unordered_pair(X7,X8)|(X11!=X7|in(X11,X9)))&(X9!=unordered_pair(X7,X8)|(X11!=X8|in(X11,X9)))))&((((~in(skolem0006(X12,X13,X14),X14)|skolem0006(X12,X13,X14)!=X12)|X14=unordered_pair(X12,X13))&((~in(skolem0006(X12,X13,X14),X14)|skolem0006(X12,X13,X14)!=X13)|X14=unordered_pair(X12,X13)))&((in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)=X12|skolem0006(X12,X13,X14)=X13))|X14=unordered_pair(X12,X13)))))))))))),inference(distribute,[status(thm)],[c22])).
% 0.23/0.58 cnf(c25,plain,X75!=unordered_pair(X76,X77)|X78!=X76|in(X78,X75),inference(split_conjunct,[status(thm)],[c23])).
% 0.23/0.58 cnf(c83,plain,X112!=skolem0002|in(X112,singleton(skolem0001)),inference(resolution,[status(thm)],[c25, c9])).
% 0.23/0.58 cnf(c104,plain,in(skolem0002,singleton(skolem0001)),inference(resolution,[status(thm)],[c83, reflexivity])).
% 0.23/0.58 cnf(c106,plain,skolem0002=skolem0001,inference(resolution,[status(thm)],[c104, c73])).
% 0.23/0.58 cnf(c111,plain,skolem0001=skolem0002,inference(resolution,[status(thm)],[c106, symmetry])).
% 0.23/0.58 cnf(c118,plain,$false,inference(resolution,[status(thm)],[c111, c10])).
% 0.23/0.58 % SZS output end CNFRefutation
% 0.23/0.58
% 0.23/0.58 % Initial clauses : 23
% 0.23/0.58 % Processed clauses : 38
% 0.23/0.58 % Factors computed : 3
% 0.23/0.58 % Resolvents computed: 77
% 0.23/0.58 % Tautologies deleted: 3
% 0.23/0.58 % Forward subsumed : 8
% 0.23/0.58 % Backward subsumed : 0
% 0.23/0.58 % -------- CPU Time ---------
% 0.23/0.58 % User time : 0.196 s
% 0.23/0.58 % System time : 0.014 s
% 0.23/0.58 % Total time : 0.210 s
%------------------------------------------------------------------------------