TSTP Solution File: SEU149+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU149+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU149+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n020.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 : Mon Jun 20 07:08:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.54 # Version: 1.3
% 0.19/0.54 # SZS status Theorem
% 0.19/0.54 # SZS output start CNFRefutation
% 0.19/0.54 fof(t8_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B)))),input).
% 0.19/0.54 fof(c4,negated_conjecture,(~(![A]:(![B]:(![C]:(singleton(A)=unordered_pair(B,C)=>A=B))))),inference(assume_negation,status(cth),[t8_zfmisc_1])).
% 0.19/0.54 fof(c5,negated_conjecture,(?[A]:(?[B]:(?[C]:(singleton(A)=unordered_pair(B,C)&A!=B)))),inference(fof_nnf,status(thm),[c4])).
% 0.19/0.54 fof(c6,negated_conjecture,(?[A]:(?[B]:((?[C]:singleton(A)=unordered_pair(B,C))&A!=B))),inference(shift_quantors,status(thm),[c5])).
% 0.19/0.54 fof(c7,negated_conjecture,(?[X2]:(?[X3]:((?[X4]:singleton(X2)=unordered_pair(X3,X4))&X2!=X3))),inference(variable_rename,status(thm),[c6])).
% 0.19/0.54 fof(c8,negated_conjecture,(singleton(skolem0001)=unordered_pair(skolem0002,skolem0003)&skolem0001!=skolem0002),inference(skolemize,status(esa),[c7])).
% 0.19/0.54 cnf(c10,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c8])).
% 0.19/0.54 cnf(symmetry,axiom,X29!=X28|X28=X29,eq_axiom).
% 0.19/0.54 cnf(reflexivity,axiom,X27=X27,eq_axiom).
% 0.19/0.54 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.19/0.54 fof(c30,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])).
% 0.19/0.54 fof(c31,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),[c30])).
% 0.19/0.54 fof(c32,axiom,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|X22!=X20)&(in(X22,X21)|X22=X20)))|X21=singleton(X20))))),inference(variable_rename,status(thm),[c31])).
% 0.19/0.54 fof(c34,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X17!=singleton(X16)|((~in(X18,X17)|X18=X16)&(X19!=X16|in(X19,X17))))&(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)&(in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20))|X21=singleton(X20))))))))),inference(shift_quantors,status(thm),[fof(c33,axiom,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)&(in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20))|X21=singleton(X20))))),inference(skolemize,status(esa),[c32])).])).
% 0.19/0.54 fof(c35,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((X17!=singleton(X16)|(~in(X18,X17)|X18=X16))&(X17!=singleton(X16)|(X19!=X16|in(X19,X17))))&(((~in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)!=X20)|X21=singleton(X20))&((in(skolem0007(X20,X21),X21)|skolem0007(X20,X21)=X20)|X21=singleton(X20)))))))))),inference(distribute,status(thm),[c34])).
% 0.19/0.54 cnf(c36,axiom,X60!=singleton(X58)|~in(X59,X60)|X59=X58,inference(split_conjunct,status(thm),[c35])).
% 0.19/0.54 cnf(c66,plain,~in(X62,singleton(X61))|X62=X61,inference(resolution,status(thm),[c36, reflexivity])).
% 0.19/0.54 cnf(c9,negated_conjecture,singleton(skolem0001)=unordered_pair(skolem0002,skolem0003),inference(split_conjunct,status(thm),[c8])).
% 0.19/0.54 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),input).
% 0.19/0.54 fof(c18,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])).
% 0.19/0.54 fof(c19,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),[c18])).
% 0.19/0.54 fof(c20,axiom,((![X7]:(![X8]:(![X9]:(X9!=unordered_pair(X7,X8)|((![X10]:(~in(X10,X9)|(X10=X7|X10=X8)))&(![X11]:((X11!=X7&X11!=X8)|in(X11,X9))))))))&(![X12]:(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|(X15!=X12&X15!=X13))&(in(X15,X14)|(X15=X12|X15=X13))))|X14=unordered_pair(X12,X13)))))),inference(variable_rename,status(thm),[c19])).
% 0.19/0.54 fof(c22,axiom,(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X9!=unordered_pair(X7,X8)|((~in(X10,X9)|(X10=X7|X10=X8))&((X11!=X7&X11!=X8)|in(X11,X9))))&(((~in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)!=X12&skolem0006(X12,X13,X14)!=X13))&(in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)=X12|skolem0006(X12,X13,X14)=X13)))|X14=unordered_pair(X12,X13))))))))))),inference(shift_quantors,status(thm),[fof(c21,axiom,((![X7]:(![X8]:(![X9]:(X9!=unordered_pair(X7,X8)|((![X10]:(~in(X10,X9)|(X10=X7|X10=X8)))&(![X11]:((X11!=X7&X11!=X8)|in(X11,X9))))))))&(![X12]:(![X13]:(![X14]:(((~in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)!=X12&skolem0006(X12,X13,X14)!=X13))&(in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)=X12|skolem0006(X12,X13,X14)=X13)))|X14=unordered_pair(X12,X13)))))),inference(skolemize,status(esa),[c20])).])).
% 0.19/0.54 fof(c23,axiom,(![X7]:(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X9!=unordered_pair(X7,X8)|(~in(X10,X9)|(X10=X7|X10=X8)))&((X9!=unordered_pair(X7,X8)|(X11!=X7|in(X11,X9)))&(X9!=unordered_pair(X7,X8)|(X11!=X8|in(X11,X9)))))&((((~in(skolem0006(X12,X13,X14),X14)|skolem0006(X12,X13,X14)!=X12)|X14=unordered_pair(X12,X13))&((~in(skolem0006(X12,X13,X14),X14)|skolem0006(X12,X13,X14)!=X13)|X14=unordered_pair(X12,X13)))&((in(skolem0006(X12,X13,X14),X14)|(skolem0006(X12,X13,X14)=X12|skolem0006(X12,X13,X14)=X13))|X14=unordered_pair(X12,X13)))))))))))),inference(distribute,status(thm),[c22])).
% 0.19/0.54 cnf(c25,axiom,X77!=unordered_pair(X76,X78)|X75!=X76|in(X75,X77),inference(split_conjunct,status(thm),[c23])).
% 0.19/0.54 cnf(c80,plain,X110!=skolem0002|in(X110,singleton(skolem0001)),inference(resolution,status(thm),[c25, c9])).
% 0.19/0.54 cnf(c101,plain,in(skolem0002,singleton(skolem0001)),inference(resolution,status(thm),[c80, reflexivity])).
% 0.19/0.54 cnf(c102,plain,skolem0002=skolem0001,inference(resolution,status(thm),[c101, c66])).
% 0.19/0.54 cnf(c109,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c102, symmetry])).
% 0.19/0.54 cnf(c118,plain,$false,inference(resolution,status(thm),[c109, c10])).
% 0.19/0.54 # SZS output end CNFRefutation
% 0.19/0.54
% 0.19/0.54 # Initial clauses : 23
% 0.19/0.54 # Processed clauses : 36
% 0.19/0.54 # Factors computed : 0
% 0.19/0.54 # Resolvents computed: 77
% 0.19/0.54 # Tautologies deleted: 2
% 0.19/0.54 # Forward subsumed : 8
% 0.19/0.54 # Backward subsumed : 0
% 0.19/0.54 # -------- CPU Time ---------
% 0.19/0.54 # User time : 0.188 s
% 0.19/0.54 # System time : 0.015 s
% 0.19/0.54 # Total time : 0.203 s
%------------------------------------------------------------------------------