TSTP Solution File: SEU149+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU149+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 : 600s
% DateTime : Tue Jul 19 13:35:56 EDT 2022
% Result : Theorem 0.42s 0.61s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU149+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 02:05:44 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.42/0.61 # Version: 1.3
% 0.42/0.61 # SZS status Theorem
% 0.42/0.61 # SZS output start CNFRefutation
% 0.42/0.61 fof(t8_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B)))),input).
% 0.42/0.61 fof(c3,negated_conjecture,(~(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B))))),inference(assume_negation,status(cth),[t8_zfmisc_1])).
% 0.42/0.61 fof(c4,negated_conjecture,(?[A]:(?[B]:(?[C]:(singleton(A)=unordered_pair(B,C)&A!=B)))),inference(fof_nnf,status(thm),[c3])).
% 0.42/0.61 fof(c5,negated_conjecture,(?[A]:(?[B]:((?[C]:singleton(A)=unordered_pair(B,C))&A!=B))),inference(shift_quantors,status(thm),[c4])).
% 0.42/0.61 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((?[X4]:singleton(X2)=unordered_pair(X3,X4))&X2!=X3))),inference(variable_rename,status(thm),[c5])).
% 0.42/0.61 fof(c7,negated_conjecture,(singleton(skolem0001)=unordered_pair(skolem0002,skolem0003)&skolem0001!=skolem0002),inference(skolemize,status(esa),[c6])).
% 0.42/0.61 cnf(c9,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c7])).
% 0.42/0.61 cnf(symmetry,axiom,X27!=X26|X26=X27,eq_axiom).
% 0.42/0.61 cnf(reflexivity,axiom,X25=X25,eq_axiom).
% 0.42/0.61 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.42/0.61 fof(c24,axiom,(![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])).
% 0.42/0.61 fof(c25,axiom,((![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])).
% 0.42/0.61 fof(c26,axiom,((![X14]:(![X15]:(X15!=singleton(X14)|((![X16]:(~in(X16,X15)|X16=X14))&(![X17]:(X17!=X14|in(X17,X15)))))))&(![X18]:(![X19]:((?[X20]:((~in(X20,X19)|X20!=X18)&(in(X20,X19)|X20=X18)))|X19=singleton(X18))))),inference(variable_rename,status(thm),[c25])).
% 0.42/0.61 fof(c28,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((X15!=singleton(X14)|((~in(X16,X15)|X16=X14)&(X17!=X14|in(X17,X15))))&(((~in(skolem0005(X18,X19),X19)|skolem0005(X18,X19)!=X18)&(in(skolem0005(X18,X19),X19)|skolem0005(X18,X19)=X18))|X19=singleton(X18))))))))),inference(shift_quantors,status(thm),[fof(c27,axiom,((![X14]:(![X15]:(X15!=singleton(X14)|((![X16]:(~in(X16,X15)|X16=X14))&(![X17]:(X17!=X14|in(X17,X15)))))))&(![X18]:(![X19]:(((~in(skolem0005(X18,X19),X19)|skolem0005(X18,X19)!=X18)&(in(skolem0005(X18,X19),X19)|skolem0005(X18,X19)=X18))|X19=singleton(X18))))),inference(skolemize,status(esa),[c26])).])).
% 0.42/0.61 fof(c29,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(((X15!=singleton(X14)|(~in(X16,X15)|X16=X14))&(X15!=singleton(X14)|(X17!=X14|in(X17,X15))))&(((~in(skolem0005(X18,X19),X19)|skolem0005(X18,X19)!=X18)|X19=singleton(X18))&((in(skolem0005(X18,X19),X19)|skolem0005(X18,X19)=X18)|X19=singleton(X18)))))))))),inference(distribute,status(thm),[c28])).
% 0.42/0.61 cnf(c30,axiom,X51!=singleton(X53)|~in(X52,X51)|X52=X53,inference(split_conjunct,status(thm),[c29])).
% 0.42/0.61 cnf(c57,plain,~in(X54,singleton(X55))|X54=X55,inference(resolution,status(thm),[c30, reflexivity])).
% 0.42/0.61 cnf(c8,negated_conjecture,singleton(skolem0001)=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c7])).
% 0.42/0.61 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),input).
% 0.42/0.61 fof(c12,axiom,(![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])).
% 0.42/0.61 fof(c13,axiom,((![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),[c12])).
% 0.42/0.61 fof(c14,axiom,((![X5]:(![X6]:(![X7]:(X7!=unordered_pair(X5,X6)|((![X8]:(~in(X8,X7)|(X8=X5|X8=X6)))&(![X9]:((X9!=X5&X9!=X6)|in(X9,X7))))))))&(![X10]:(![X11]:(![X12]:((?[X13]:((~in(X13,X12)|(X13!=X10&X13!=X11))&(in(X13,X12)|(X13=X10|X13=X11))))|X12=unordered_pair(X10,X11)))))),inference(variable_rename,status(thm),[c13])).
% 0.42/0.61 fof(c16,axiom,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((X7!=unordered_pair(X5,X6)|((~in(X8,X7)|(X8=X5|X8=X6))&((X9!=X5&X9!=X6)|in(X9,X7))))&(((~in(skolem0004(X10,X11,X12),X12)|(skolem0004(X10,X11,X12)!=X10&skolem0004(X10,X11,X12)!=X11))&(in(skolem0004(X10,X11,X12),X12)|(skolem0004(X10,X11,X12)=X10|skolem0004(X10,X11,X12)=X11)))|X12=unordered_pair(X10,X11))))))))))),inference(shift_quantors,status(thm),[fof(c15,axiom,((![X5]:(![X6]:(![X7]:(X7!=unordered_pair(X5,X6)|((![X8]:(~in(X8,X7)|(X8=X5|X8=X6)))&(![X9]:((X9!=X5&X9!=X6)|in(X9,X7))))))))&(![X10]:(![X11]:(![X12]:(((~in(skolem0004(X10,X11,X12),X12)|(skolem0004(X10,X11,X12)!=X10&skolem0004(X10,X11,X12)!=X11))&(in(skolem0004(X10,X11,X12),X12)|(skolem0004(X10,X11,X12)=X10|skolem0004(X10,X11,X12)=X11)))|X12=unordered_pair(X10,X11)))))),inference(skolemize,status(esa),[c14])).])).
% 0.42/0.61 fof(c17,axiom,(![X5]:(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(((X7!=unordered_pair(X5,X6)|(~in(X8,X7)|(X8=X5|X8=X6)))&((X7!=unordered_pair(X5,X6)|(X9!=X5|in(X9,X7)))&(X7!=unordered_pair(X5,X6)|(X9!=X6|in(X9,X7)))))&((((~in(skolem0004(X10,X11,X12),X12)|skolem0004(X10,X11,X12)!=X10)|X12=unordered_pair(X10,X11))&((~in(skolem0004(X10,X11,X12),X12)|skolem0004(X10,X11,X12)!=X11)|X12=unordered_pair(X10,X11)))&((in(skolem0004(X10,X11,X12),X12)|(skolem0004(X10,X11,X12)=X10|skolem0004(X10,X11,X12)=X11))|X12=unordered_pair(X10,X11)))))))))))),inference(distribute,status(thm),[c16])).
% 0.42/0.61 cnf(c19,axiom,X77!=unordered_pair(X75,X76)|X74!=X75|in(X74,X77),inference(split_conjunct,status(thm),[c17])).
% 0.42/0.61 cnf(c73,plain,X102!=skolem0002|in(X102,singleton(skolem0001)),inference(resolution,status(thm),[c19, c8])).
% 0.42/0.61 cnf(c91,plain,in(skolem0002,singleton(skolem0001)),inference(resolution,status(thm),[c73, reflexivity])).
% 0.42/0.61 cnf(c92,plain,skolem0002=skolem0001,inference(resolution,status(thm),[c91, c57])).
% 0.42/0.61 cnf(c98,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c92, symmetry])).
% 0.42/0.61 cnf(c106,plain,$false,inference(resolution,status(thm),[c98, c9])).
% 0.42/0.61 # SZS output end CNFRefutation
% 0.42/0.61
% 0.42/0.61 # Initial clauses : 22
% 0.42/0.61 # Processed clauses : 34
% 0.42/0.61 # Factors computed : 0
% 0.42/0.61 # Resolvents computed: 71
% 0.42/0.61 # Tautologies deleted: 1
% 0.42/0.61 # Forward subsumed : 9
% 0.42/0.61 # Backward subsumed : 0
% 0.42/0.61 # -------- CPU Time ---------
% 0.42/0.61 # User time : 0.238 s
% 0.42/0.61 # System time : 0.020 s
% 0.42/0.61 # Total time : 0.258 s
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