%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET885+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET885+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n011.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 19:05:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.47/0.66 % Version: 1.5
% 0.47/0.66 % SZS status Theorem
% 0.47/0.66 % SZS output start CNFRefutation
% 0.47/0.66 fof(t26_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(subset(unordered_pair(A,B),singleton(C))=>A=C)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t26_zfmisc_1)).
% 0.47/0.66 fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(subset(unordered_pair(A,B),singleton(C))=>A=C))))),inference(assume_negation,[status(cth)],[t26_zfmisc_1])).
% 0.47/0.66 fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:(subset(unordered_pair(A,B),singleton(C))&A!=C)))),inference(fof_nnf,[status(thm)],[c5])).
% 0.47/0.66 fof(c7,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(subset(unordered_pair(X2,X3),singleton(X4))&X2!=X4)))),inference(variable_rename,[status(thm)],[c6])).
% 0.47/0.66 fof(c8,negated_conjecture,(subset(unordered_pair(skolem0001,skolem0002),singleton(skolem0003))&skolem0001!=skolem0003),inference(skolemize,[status(esa)],[c7])).
% 0.47/0.66 cnf(c10,negated_conjecture,skolem0001!=skolem0003,inference(split_conjunct,[status(thm)],[c8])).
% 0.47/0.66 cnf(reflexivity,axiom,X34=X34,theory(equality)).
% 0.47/0.66 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.47/0.66 fof(c42,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])).
% 0.47/0.66 fof(c43,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)],[c42])).
% 0.47/0.66 fof(c44,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)],[c43])).
% 0.47/0.66 fof(c46,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(c45,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)],[c44])).])).
% 0.47/0.66 fof(c47,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)],[c46])).
% 0.47/0.66 cnf(c48,plain,X80!=singleton(X78)|~in(X79,X80)|X79=X78,inference(split_conjunct,[status(thm)],[c47])).
% 0.47/0.66 cnf(c75,plain,~in(X82,singleton(X81))|X82=X81,inference(resolution,[status(thm)],[c48, reflexivity])).
% 0.47/0.66 cnf(c9,negated_conjecture,subset(unordered_pair(skolem0001,skolem0002),singleton(skolem0003)),inference(split_conjunct,[status(thm)],[c8])).
% 0.47/0.66 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 0.47/0.66 fof(c21,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])).
% 0.47/0.66 fof(c22,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)],[c21])).
% 0.47/0.66 fof(c23,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)],[c22])).
% 0.47/0.66 fof(c25,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(c24,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)],[c23])).])).
% 0.47/0.66 fof(c26,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)],[c25])).
% 0.47/0.66 cnf(c27,plain,~subset(X75,X73)|~in(X74,X75)|in(X74,X73),inference(split_conjunct,[status(thm)],[c26])).
% 0.47/0.66 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)).
% 0.47/0.66 fof(c30,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])).
% 0.47/0.66 fof(c31,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)],[c30])).
% 0.47/0.66 fof(c32,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)],[c31])).
% 0.47/0.66 fof(c34,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(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]:(((~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)],[c32])).])).
% 0.47/0.66 fof(c35,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)],[c34])).
% 0.47/0.66 cnf(c37,plain,X111!=unordered_pair(X112,X109)|X110!=X112|in(X110,X111),inference(split_conjunct,[status(thm)],[c35])).
% 0.47/0.66 cnf(c95,plain,X116!=X117|in(X116,unordered_pair(X117,X118)),inference(resolution,[status(thm)],[c37, reflexivity])).
% 0.47/0.66 cnf(c99,plain,in(X120,unordered_pair(X120,X119)),inference(resolution,[status(thm)],[c95, reflexivity])).
% 0.47/0.66 cnf(c103,plain,~subset(unordered_pair(X134,X135),X136)|in(X134,X136),inference(resolution,[status(thm)],[c99, c27])).
% 0.47/0.66 cnf(c114,plain,in(skolem0001,singleton(skolem0003)),inference(resolution,[status(thm)],[c103, c9])).
% 0.47/0.66 cnf(c117,plain,skolem0001=skolem0003,inference(resolution,[status(thm)],[c114, c75])).
% 0.47/0.66 cnf(c119,plain,$false,inference(resolution,[status(thm)],[c117, c10])).
% 0.47/0.66 % SZS output end CNFRefutation
% 0.47/0.66
% 0.47/0.66 % Initial clauses : 28
% 0.47/0.66 % Processed clauses : 44
% 0.47/0.66 % Factors computed : 4
% 0.47/0.66 % Resolvents computed: 68
% 0.47/0.66 % Tautologies deleted: 3
% 0.47/0.66 % Forward subsumed : 10
% 0.47/0.66 % Backward subsumed : 0
% 0.47/0.66 % -------- CPU Time ---------
% 0.47/0.66 % User time : 0.261 s
% 0.47/0.66 % System time : 0.019 s
% 0.47/0.66 % Total time : 0.280 s
%------------------------------------------------------------------------------