%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET884+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n032.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 0.40s 0.60s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET884+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Wed May 8 19:33:37 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.40/0.60 % Version: 1.5
% 0.40/0.60 % SZS status Theorem
% 0.40/0.60 % SZS output start CNFRefutation
% 0.40/0.60 fof(t25_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(~((subset(singleton(A),unordered_pair(B,C))&A!=B)&A!=C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t25_zfmisc_1)).
% 0.40/0.60 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(~((subset(singleton(A),unordered_pair(B,C))&A!=B)&A!=C)))))),inference(assume_negation,[status(cth)],[t25_zfmisc_1])).
% 0.40/0.60 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:((subset(singleton(A),unordered_pair(B,C))&A!=B)&A!=C)))),inference(fof_nnf,[status(thm)],[c5])).
% 0.40/0.60 fof(c7,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((subset(singleton(X2),unordered_pair(X3,X4))&X2!=X3)&X2!=X4)))),inference(variable_rename,[status(thm)],[c6])).
% 0.40/0.60 fof(c8,negated_conjecture,((subset(singleton(skolem0001),unordered_pair(skolem0002,skolem0003))&skolem0001!=skolem0002)&skolem0001!=skolem0003),inference(skolemize,[status(esa)],[c7])).
% 0.40/0.60 cnf(c11,negated_conjecture,skolem0001!=skolem0003,inference(split_conjunct,[status(thm)],[c8])).
% 0.40/0.60 cnf(c10,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c8])).
% 0.40/0.60 cnf(c9,negated_conjecture,subset(singleton(skolem0001),unordered_pair(skolem0002,skolem0003)),inference(split_conjunct,[status(thm)],[c8])).
% 0.40/0.60 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.40/0.60 fof(c22,plain,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,[status(thm)],[d3_tarski])).
% 0.40/0.60 fof(c23,plain,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,[status(thm)],[c22])).
% 0.40/0.60 fof(c24,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((?[X13]:(in(X13,X11)&~in(X13,X12)))|subset(X11,X12))))),inference(variable_rename,[status(thm)],[c23])).
% 0.40/0.60 fof(c26,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0006(X11,X12),X11)&~in(skolem0006(X11,X12),X12))|subset(X11,X12)))))))),inference(shift_quantors,[status(thm)],[fof(c25,plain,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((in(skolem0006(X11,X12),X11)&~in(skolem0006(X11,X12),X12))|subset(X11,X12))))),inference(skolemize,[status(esa)],[c24])).])).
% 0.40/0.60 fof(c27,plain,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0006(X11,X12),X11)|subset(X11,X12))&(~in(skolem0006(X11,X12),X12)|subset(X11,X12))))))))),inference(distribute,[status(thm)],[c26])).
% 0.40/0.60 cnf(c28,plain,~subset(X75,X74)|~in(X73,X75)|in(X73,X74),inference(split_conjunct,[status(thm)],[c27])).
% 0.40/0.60 cnf(reflexivity,axiom,X34=X34,theory(equality)).
% 0.40/0.60 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_tarski)).
% 0.40/0.60 fof(c43,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])).
% 0.40/0.60 fof(c44,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)],[c43])).
% 0.40/0.60 fof(c45,plain,((![X23]:(![X24]:(X24!=singleton(X23)|((![X25]:(~in(X25,X24)|X25=X23))&(![X26]:(X26!=X23|in(X26,X24)))))))&(![X27]:(![X28]:((?[X29]:((~in(X29,X28)|X29!=X27)&(in(X29,X28)|X29=X27)))|X28=singleton(X27))))),inference(variable_rename,[status(thm)],[c44])).
% 0.40/0.60 fof(c47,plain,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:((X24!=singleton(X23)|((~in(X25,X24)|X25=X23)&(X26!=X23|in(X26,X24))))&(((~in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)!=X27)&(in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)=X27))|X28=singleton(X27))))))))),inference(shift_quantors,[status(thm)],[fof(c46,plain,((![X23]:(![X24]:(X24!=singleton(X23)|((![X25]:(~in(X25,X24)|X25=X23))&(![X26]:(X26!=X23|in(X26,X24)))))))&(![X27]:(![X28]:(((~in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)!=X27)&(in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)=X27))|X28=singleton(X27))))),inference(skolemize,[status(esa)],[c45])).])).
% 0.40/0.60 fof(c48,plain,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:(![X28]:(((X24!=singleton(X23)|(~in(X25,X24)|X25=X23))&(X24!=singleton(X23)|(X26!=X23|in(X26,X24))))&(((~in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)!=X27)|X28=singleton(X27))&((in(skolem0008(X27,X28),X28)|skolem0008(X27,X28)=X27)|X28=singleton(X27)))))))))),inference(distribute,[status(thm)],[c47])).
% 0.40/0.60 cnf(c50,plain,X101!=singleton(X103)|X102!=X103|in(X102,X101),inference(split_conjunct,[status(thm)],[c48])).
% 0.40/0.60 cnf(c89,plain,X105!=X104|in(X105,singleton(X104)),inference(resolution,[status(thm)],[c50, reflexivity])).
% 0.40/0.60 cnf(c90,plain,in(X106,singleton(X106)),inference(resolution,[status(thm)],[c89, reflexivity])).
% 0.40/0.60 cnf(c94,plain,~subset(singleton(X113),X114)|in(X113,X114),inference(resolution,[status(thm)],[c90, c28])).
% 0.40/0.60 cnf(c99,plain,in(skolem0001,unordered_pair(skolem0002,skolem0003)),inference(resolution,[status(thm)],[c94, c9])).
% 0.40/0.60 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 0.40/0.60 fof(c31,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])).
% 0.40/0.60 fof(c32,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)],[c31])).
% 0.40/0.60 fof(c33,plain,((![X14]:(![X15]:(![X16]:(X16!=unordered_pair(X14,X15)|((![X17]:(~in(X17,X16)|(X17=X14|X17=X15)))&(![X18]:((X18!=X14&X18!=X15)|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|(X22!=X19&X22!=X20))&(in(X22,X21)|(X22=X19|X22=X20))))|X21=unordered_pair(X19,X20)))))),inference(variable_rename,[status(thm)],[c32])).
% 0.40/0.60 fof(c35,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X16!=unordered_pair(X14,X15)|((~in(X17,X16)|(X17=X14|X17=X15))&((X18!=X14&X18!=X15)|in(X18,X16))))&(((~in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)!=X19&skolem0007(X19,X20,X21)!=X20))&(in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)=X19|skolem0007(X19,X20,X21)=X20)))|X21=unordered_pair(X19,X20))))))))))),inference(shift_quantors,[status(thm)],[fof(c34,plain,((![X14]:(![X15]:(![X16]:(X16!=unordered_pair(X14,X15)|((![X17]:(~in(X17,X16)|(X17=X14|X17=X15)))&(![X18]:((X18!=X14&X18!=X15)|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:(((~in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)!=X19&skolem0007(X19,X20,X21)!=X20))&(in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)=X19|skolem0007(X19,X20,X21)=X20)))|X21=unordered_pair(X19,X20)))))),inference(skolemize,[status(esa)],[c33])).])).
% 0.40/0.60 fof(c36,plain,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((X16!=unordered_pair(X14,X15)|(~in(X17,X16)|(X17=X14|X17=X15)))&((X16!=unordered_pair(X14,X15)|(X18!=X14|in(X18,X16)))&(X16!=unordered_pair(X14,X15)|(X18!=X15|in(X18,X16)))))&((((~in(skolem0007(X19,X20,X21),X21)|skolem0007(X19,X20,X21)!=X19)|X21=unordered_pair(X19,X20))&((~in(skolem0007(X19,X20,X21),X21)|skolem0007(X19,X20,X21)!=X20)|X21=unordered_pair(X19,X20)))&((in(skolem0007(X19,X20,X21),X21)|(skolem0007(X19,X20,X21)=X19|skolem0007(X19,X20,X21)=X20))|X21=unordered_pair(X19,X20)))))))))))),inference(distribute,[status(thm)],[c35])).
% 0.40/0.60 cnf(c37,plain,X95!=unordered_pair(X96,X97)|~in(X98,X95)|X98=X96|X98=X97,inference(split_conjunct,[status(thm)],[c36])).
% 0.40/0.60 cnf(c86,plain,~in(X255,unordered_pair(X254,X256))|X255=X254|X255=X256,inference(resolution,[status(thm)],[c37, reflexivity])).
% 0.40/0.60 cnf(c428,plain,skolem0001=skolem0002|skolem0001=skolem0003,inference(resolution,[status(thm)],[c86, c99])).
% 0.40/0.60 cnf(c506,plain,skolem0001=skolem0003,inference(resolution,[status(thm)],[c428, c10])).
% 0.40/0.60 cnf(c533,plain,$false,inference(resolution,[status(thm)],[c506, c11])).
% 0.40/0.60 % SZS output end CNFRefutation
% 0.40/0.60
% 0.40/0.60 % Initial clauses : 29
% 0.40/0.60 % Processed clauses : 96
% 0.40/0.60 % Factors computed : 7
% 0.40/0.60 % Resolvents computed: 479
% 0.40/0.60 % Tautologies deleted: 3
% 0.40/0.60 % Forward subsumed : 40
% 0.40/0.60 % Backward subsumed : 1
% 0.40/0.60 % -------- CPU Time ---------
% 0.40/0.60 % User time : 0.278 s
% 0.40/0.60 % System time : 0.014 s
% 0.40/0.60 % Total time : 0.292 s
%------------------------------------------------------------------------------