TSTP Solution File: SEU151+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU151+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 13:35:58 EDT 2022
% Result : Theorem 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU151+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 23:29:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.65 # Version: 1.3
% 0.47/0.65 # SZS status Theorem
% 0.47/0.65 # SZS output start CNFRefutation
% 0.47/0.65 fof(t10_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(![D]:(~((unordered_pair(A,B)=unordered_pair(C,D)&A!=C)&A!=D)))))),input).
% 0.47/0.65 fof(c2,negated_conjecture,(~(![A]:(![B]:(![C]:(![D]:(~((unordered_pair(A,B)=unordered_pair(C,D)&A!=C)&A!=D))))))),inference(assume_negation,status(cth),[t10_zfmisc_1])).
% 0.47/0.65 fof(c3,negated_conjecture,(?[A]:(?[B]:(?[C]:(?[D]:((unordered_pair(A,B)=unordered_pair(C,D)&A!=C)&A!=D))))),inference(fof_nnf,status(thm),[c2])).
% 0.47/0.65 fof(c4,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:(?[X5]:((unordered_pair(X2,X3)=unordered_pair(X4,X5)&X2!=X4)&X2!=X5))))),inference(variable_rename,status(thm),[c3])).
% 0.47/0.65 fof(c5,negated_conjecture,((unordered_pair(skolem0001,skolem0002)=unordered_pair(skolem0003,skolem0004)&skolem0001!=skolem0003)&skolem0001!=skolem0004),inference(skolemize,status(esa),[c4])).
% 0.47/0.65 cnf(c8,negated_conjecture,skolem0001!=skolem0004,inference(split_conjunct,status(thm),[c5])).
% 0.47/0.65 cnf(c7,negated_conjecture,skolem0001!=skolem0003,inference(split_conjunct,status(thm),[c5])).
% 0.47/0.65 cnf(reflexivity,axiom,X19=X19,eq_axiom).
% 0.47/0.65 cnf(symmetry,axiom,X21!=X20|X20=X21,eq_axiom).
% 0.47/0.65 cnf(c6,negated_conjecture,unordered_pair(skolem0001,skolem0002)=unordered_pair(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c5])).
% 0.47/0.65 cnf(c36,plain,unordered_pair(skolem0003,skolem0004)=unordered_pair(skolem0001,skolem0002),inference(resolution,status(thm),[c6, symmetry])).
% 0.47/0.65 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),input).
% 0.47/0.65 fof(c10,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])).
% 0.47/0.65 fof(c11,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),[c10])).
% 0.47/0.65 fof(c12,axiom,((![X6]:(![X7]:(![X8]:(X8!=unordered_pair(X6,X7)|((![X9]:(~in(X9,X8)|(X9=X6|X9=X7)))&(![X10]:((X10!=X6&X10!=X7)|in(X10,X8))))))))&(![X11]:(![X12]:(![X13]:((?[X14]:((~in(X14,X13)|(X14!=X11&X14!=X12))&(in(X14,X13)|(X14=X11|X14=X12))))|X13=unordered_pair(X11,X12)))))),inference(variable_rename,status(thm),[c11])).
% 0.47/0.65 fof(c14,axiom,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:((X8!=unordered_pair(X6,X7)|((~in(X9,X8)|(X9=X6|X9=X7))&((X10!=X6&X10!=X7)|in(X10,X8))))&(((~in(skolem0005(X11,X12,X13),X13)|(skolem0005(X11,X12,X13)!=X11&skolem0005(X11,X12,X13)!=X12))&(in(skolem0005(X11,X12,X13),X13)|(skolem0005(X11,X12,X13)=X11|skolem0005(X11,X12,X13)=X12)))|X13=unordered_pair(X11,X12))))))))))),inference(shift_quantors,status(thm),[fof(c13,axiom,((![X6]:(![X7]:(![X8]:(X8!=unordered_pair(X6,X7)|((![X9]:(~in(X9,X8)|(X9=X6|X9=X7)))&(![X10]:((X10!=X6&X10!=X7)|in(X10,X8))))))))&(![X11]:(![X12]:(![X13]:(((~in(skolem0005(X11,X12,X13),X13)|(skolem0005(X11,X12,X13)!=X11&skolem0005(X11,X12,X13)!=X12))&(in(skolem0005(X11,X12,X13),X13)|(skolem0005(X11,X12,X13)=X11|skolem0005(X11,X12,X13)=X12)))|X13=unordered_pair(X11,X12)))))),inference(skolemize,status(esa),[c12])).])).
% 0.47/0.65 fof(c15,axiom,(![X6]:(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(((X8!=unordered_pair(X6,X7)|(~in(X9,X8)|(X9=X6|X9=X7)))&((X8!=unordered_pair(X6,X7)|(X10!=X6|in(X10,X8)))&(X8!=unordered_pair(X6,X7)|(X10!=X7|in(X10,X8)))))&((((~in(skolem0005(X11,X12,X13),X13)|skolem0005(X11,X12,X13)!=X11)|X13=unordered_pair(X11,X12))&((~in(skolem0005(X11,X12,X13),X13)|skolem0005(X11,X12,X13)!=X12)|X13=unordered_pair(X11,X12)))&((in(skolem0005(X11,X12,X13),X13)|(skolem0005(X11,X12,X13)=X11|skolem0005(X11,X12,X13)=X12))|X13=unordered_pair(X11,X12)))))))))))),inference(distribute,status(thm),[c14])).
% 0.47/0.65 cnf(c17,axiom,X60!=unordered_pair(X61,X58)|X59!=X61|in(X59,X60),inference(split_conjunct,status(thm),[c15])).
% 0.47/0.65 cnf(c86,plain,X114!=skolem0001|in(X114,unordered_pair(skolem0003,skolem0004)),inference(resolution,status(thm),[c17, c36])).
% 0.47/0.65 cnf(c204,plain,in(skolem0001,unordered_pair(skolem0003,skolem0004)),inference(resolution,status(thm),[c86, reflexivity])).
% 0.47/0.65 cnf(c16,axiom,X55!=unordered_pair(X56,X54)|~in(X57,X55)|X57=X56|X57=X54,inference(split_conjunct,status(thm),[c15])).
% 0.47/0.65 cnf(c60,plain,~in(X142,unordered_pair(X143,X144))|X142=X143|X142=X144,inference(resolution,status(thm),[c16, reflexivity])).
% 0.47/0.65 cnf(c314,plain,skolem0001=skolem0003|skolem0001=skolem0004,inference(resolution,status(thm),[c60, c204])).
% 0.47/0.65 cnf(c409,plain,skolem0001=skolem0004,inference(resolution,status(thm),[c314, c7])).
% 0.47/0.65 cnf(c427,plain,$false,inference(resolution,status(thm),[c409, c8])).
% 0.47/0.65 # SZS output end CNFRefutation
% 0.47/0.65
% 0.47/0.65 # Initial clauses : 17
% 0.47/0.65 # Processed clauses : 75
% 0.47/0.65 # Factors computed : 1
% 0.47/0.65 # Resolvents computed: 406
% 0.47/0.65 # Tautologies deleted: 1
% 0.47/0.65 # Forward subsumed : 36
% 0.47/0.65 # Backward subsumed : 1
% 0.47/0.65 # -------- CPU Time ---------
% 0.47/0.65 # User time : 0.300 s
% 0.47/0.65 # System time : 0.019 s
% 0.47/0.65 # Total time : 0.319 s
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