TSTP Solution File: SEU149+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU149+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 13:35:57 EDT 2022
% Result : Theorem 160.36s 160.63s
% Output : Refutation 160.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU149+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n014.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 : Sun Jun 19 07:19:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 160.36/160.63 # Version: 1.3
% 160.36/160.63 # SZS status Theorem
% 160.36/160.63 # SZS output start CNFRefutation
% 160.36/160.63 fof(t8_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B)))),input).
% 160.36/160.63 fof(c11,negated_conjecture,(~(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B))))),inference(assume_negation,status(cth),[t8_zfmisc_1])).
% 160.36/160.63 fof(c12,negated_conjecture,(?[A]:(?[B]:(?[C]:(singleton(A)=unordered_pair(B,C)&A!=B)))),inference(fof_nnf,status(thm),[c11])).
% 160.36/160.63 fof(c13,negated_conjecture,(?[A]:(?[B]:((?[C]:singleton(A)=unordered_pair(B,C))&A!=B))),inference(shift_quantors,status(thm),[c12])).
% 160.36/160.63 fof(c14,negated_conjecture,(?[X2]:(?[X3]:((?[X4]:singleton(X2)=unordered_pair(X3,X4))&X2!=X3))),inference(variable_rename,status(thm),[c13])).
% 160.36/160.63 fof(c15,negated_conjecture,(singleton(skolem0001)=unordered_pair(skolem0002,skolem0003)&skolem0001!=skolem0002),inference(skolemize,status(esa),[c14])).
% 160.36/160.63 cnf(c17,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c15])).
% 160.36/160.63 cnf(symmetry,axiom,X193!=X192|X192=X193,eq_axiom).
% 160.36/160.63 fof(t69_enumset1,plain,(![A]:unordered_pair(A,A)=singleton(A)),input).
% 160.36/160.63 fof(c41,plain,(![X21]:unordered_pair(X21,X21)=singleton(X21)),inference(variable_rename,status(thm),[t69_enumset1])).
% 160.36/160.63 cnf(c42,plain,unordered_pair(X311,X311)=singleton(X311),inference(split_conjunct,status(thm),[c41])).
% 160.36/160.63 cnf(c492,plain,singleton(X352)=unordered_pair(X352,X352),inference(resolution,status(thm),[c42, symmetry])).
% 160.36/160.63 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),input).
% 160.36/160.63 fof(c257,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])).
% 160.36/160.63 fof(c258,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),[c257])).
% 160.36/160.63 fof(c259,axiom,((![X149]:(![X150]:(![X151]:(X151!=unordered_pair(X149,X150)|((![X152]:(~in(X152,X151)|(X152=X149|X152=X150)))&(![X153]:((X153!=X149&X153!=X150)|in(X153,X151))))))))&(![X154]:(![X155]:(![X156]:((?[X157]:((~in(X157,X156)|(X157!=X154&X157!=X155))&(in(X157,X156)|(X157=X154|X157=X155))))|X156=unordered_pair(X154,X155)))))),inference(variable_rename,status(thm),[c258])).
% 160.36/160.63 fof(c261,axiom,(![X149]:(![X150]:(![X151]:(![X152]:(![X153]:(![X154]:(![X155]:(![X156]:((X151!=unordered_pair(X149,X150)|((~in(X152,X151)|(X152=X149|X152=X150))&((X153!=X149&X153!=X150)|in(X153,X151))))&(((~in(skolem0013(X154,X155,X156),X156)|(skolem0013(X154,X155,X156)!=X154&skolem0013(X154,X155,X156)!=X155))&(in(skolem0013(X154,X155,X156),X156)|(skolem0013(X154,X155,X156)=X154|skolem0013(X154,X155,X156)=X155)))|X156=unordered_pair(X154,X155))))))))))),inference(shift_quantors,status(thm),[fof(c260,axiom,((![X149]:(![X150]:(![X151]:(X151!=unordered_pair(X149,X150)|((![X152]:(~in(X152,X151)|(X152=X149|X152=X150)))&(![X153]:((X153!=X149&X153!=X150)|in(X153,X151))))))))&(![X154]:(![X155]:(![X156]:(((~in(skolem0013(X154,X155,X156),X156)|(skolem0013(X154,X155,X156)!=X154&skolem0013(X154,X155,X156)!=X155))&(in(skolem0013(X154,X155,X156),X156)|(skolem0013(X154,X155,X156)=X154|skolem0013(X154,X155,X156)=X155)))|X156=unordered_pair(X154,X155)))))),inference(skolemize,status(esa),[c259])).])).
% 160.36/160.63 fof(c262,axiom,(![X149]:(![X150]:(![X151]:(![X152]:(![X153]:(![X154]:(![X155]:(![X156]:(((X151!=unordered_pair(X149,X150)|(~in(X152,X151)|(X152=X149|X152=X150)))&((X151!=unordered_pair(X149,X150)|(X153!=X149|in(X153,X151)))&(X151!=unordered_pair(X149,X150)|(X153!=X150|in(X153,X151)))))&((((~in(skolem0013(X154,X155,X156),X156)|skolem0013(X154,X155,X156)!=X154)|X156=unordered_pair(X154,X155))&((~in(skolem0013(X154,X155,X156),X156)|skolem0013(X154,X155,X156)!=X155)|X156=unordered_pair(X154,X155)))&((in(skolem0013(X154,X155,X156),X156)|(skolem0013(X154,X155,X156)=X154|skolem0013(X154,X155,X156)=X155))|X156=unordered_pair(X154,X155)))))))))))),inference(distribute,status(thm),[c261])).
% 160.36/160.63 cnf(c263,axiom,X818!=unordered_pair(X820,X819)|~in(X817,X818)|X817=X820|X817=X819,inference(split_conjunct,status(thm),[c262])).
% 160.36/160.63 cnf(c1863,plain,~in(X1869,singleton(X1868))|X1869=X1868,inference(resolution,status(thm),[c263, c492])).
% 160.36/160.63 cnf(reflexivity,axiom,X190=X190,eq_axiom).
% 160.36/160.63 cnf(c16,negated_conjecture,singleton(skolem0001)=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c15])).
% 160.36/160.63 cnf(c264,axiom,X826!=unordered_pair(X828,X827)|X829!=X828|in(X829,X826),inference(split_conjunct,status(thm),[c262])).
% 160.36/160.63 cnf(c1898,plain,X10520!=skolem0002|in(X10520,singleton(skolem0001)),inference(resolution,status(thm),[c264, c16])).
% 160.36/160.63 cnf(c175056,plain,in(skolem0002,singleton(skolem0001)),inference(resolution,status(thm),[c1898, reflexivity])).
% 160.36/160.63 cnf(c175165,plain,skolem0002=skolem0001,inference(resolution,status(thm),[c175056, c1863])).
% 160.36/160.63 cnf(c175379,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c175165, symmetry])).
% 160.36/160.63 cnf(c175498,plain,$false,inference(resolution,status(thm),[c175379, c17])).
% 160.36/160.63 # SZS output end CNFRefutation
% 160.36/160.63
% 160.36/160.63 # Initial clauses : 131
% 160.36/160.63 # Processed clauses : 1965
% 160.36/160.63 # Factors computed : 86
% 160.36/160.63 # Resolvents computed: 175725
% 160.36/160.63 # Tautologies deleted: 66
% 160.36/160.63 # Forward subsumed : 5157
% 160.36/160.63 # Backward subsumed : 122
% 160.36/160.63 # -------- CPU Time ---------
% 160.36/160.63 # User time : 159.907 s
% 160.36/160.63 # System time : 0.346 s
% 160.36/160.63 # Total time : 160.253 s
%------------------------------------------------------------------------------