TSTP Solution File: SET881+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET881+1 : TPTP v8.1.0. Released v3.2.0.
% 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 04:41:03 EDT 2022
% Result : Theorem 0.36s 0.54s
% Output : Refutation 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET881+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n025.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 Jul 10 12:02:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.36/0.54 # Version: 1.3
% 0.36/0.54 # SZS status Theorem
% 0.36/0.54 # SZS output start CNFRefutation
% 0.36/0.54 fof(t22_zfmisc_1,conjecture,(![A]:(![B]:set_difference(singleton(A),unordered_pair(A,B))=empty_set)),input).
% 0.36/0.54 fof(c5,negated_conjecture,(~(![A]:(![B]:set_difference(singleton(A),unordered_pair(A,B))=empty_set))),inference(assume_negation,status(cth),[t22_zfmisc_1])).
% 0.36/0.54 fof(c6,negated_conjecture,(?[A]:(?[B]:set_difference(singleton(A),unordered_pair(A,B))!=empty_set)),inference(fof_nnf,status(thm),[c5])).
% 0.36/0.54 fof(c7,negated_conjecture,(?[X2]:(?[X3]:set_difference(singleton(X2),unordered_pair(X2,X3))!=empty_set)),inference(variable_rename,status(thm),[c6])).
% 0.36/0.54 fof(c8,negated_conjecture,set_difference(singleton(skolem0001),unordered_pair(skolem0001,skolem0002))!=empty_set,inference(skolemize,status(esa),[c7])).
% 0.36/0.54 cnf(c9,negated_conjecture,set_difference(singleton(skolem0001),unordered_pair(skolem0001,skolem0002))!=empty_set,inference(split_conjunct,status(thm),[c8])).
% 0.36/0.54 fof(l36_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),input).
% 0.36/0.54 fof(c17,axiom,(![A]:(![B]:((set_difference(singleton(A),B)!=empty_set|in(A,B))&(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(fof_nnf,status(thm),[l36_zfmisc_1])).
% 0.36/0.54 fof(c18,axiom,((![A]:(![B]:(set_difference(singleton(A),B)!=empty_set|in(A,B))))&(![A]:(![B]:(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(shift_quantors,status(thm),[c17])).
% 0.36/0.54 fof(c20,axiom,(![X6]:(![X7]:(![X8]:(![X9]:((set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))&(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))))),inference(shift_quantors,status(thm),[fof(c19,axiom,((![X6]:(![X7]:(set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))))&(![X8]:(![X9]:(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))),inference(variable_rename,status(thm),[c18])).])).
% 0.36/0.54 cnf(c22,axiom,~in(X56,X57)|set_difference(singleton(X56),X57)=empty_set,inference(split_conjunct,status(thm),[c20])).
% 0.36/0.54 cnf(reflexivity,axiom,X23=X23,eq_axiom).
% 0.36/0.54 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),input).
% 0.36/0.54 fof(c24,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])).
% 0.36/0.54 fof(c25,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),[c24])).
% 0.36/0.54 fof(c26,axiom,((![X10]:(![X11]:(![X12]:(X12!=unordered_pair(X10,X11)|((![X13]:(~in(X13,X12)|(X13=X10|X13=X11)))&(![X14]:((X14!=X10&X14!=X11)|in(X14,X12))))))))&(![X15]:(![X16]:(![X17]:((?[X18]:((~in(X18,X17)|(X18!=X15&X18!=X16))&(in(X18,X17)|(X18=X15|X18=X16))))|X17=unordered_pair(X15,X16)))))),inference(variable_rename,status(thm),[c25])).
% 0.36/0.54 fof(c28,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:((X12!=unordered_pair(X10,X11)|((~in(X13,X12)|(X13=X10|X13=X11))&((X14!=X10&X14!=X11)|in(X14,X12))))&(((~in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)!=X15&skolem0005(X15,X16,X17)!=X16))&(in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)=X15|skolem0005(X15,X16,X17)=X16)))|X17=unordered_pair(X15,X16))))))))))),inference(shift_quantors,status(thm),[fof(c27,axiom,((![X10]:(![X11]:(![X12]:(X12!=unordered_pair(X10,X11)|((![X13]:(~in(X13,X12)|(X13=X10|X13=X11)))&(![X14]:((X14!=X10&X14!=X11)|in(X14,X12))))))))&(![X15]:(![X16]:(![X17]:(((~in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)!=X15&skolem0005(X15,X16,X17)!=X16))&(in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)=X15|skolem0005(X15,X16,X17)=X16)))|X17=unordered_pair(X15,X16)))))),inference(skolemize,status(esa),[c26])).])).
% 0.36/0.54 fof(c29,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(((X12!=unordered_pair(X10,X11)|(~in(X13,X12)|(X13=X10|X13=X11)))&((X12!=unordered_pair(X10,X11)|(X14!=X10|in(X14,X12)))&(X12!=unordered_pair(X10,X11)|(X14!=X11|in(X14,X12)))))&((((~in(skolem0005(X15,X16,X17),X17)|skolem0005(X15,X16,X17)!=X15)|X17=unordered_pair(X15,X16))&((~in(skolem0005(X15,X16,X17),X17)|skolem0005(X15,X16,X17)!=X16)|X17=unordered_pair(X15,X16)))&((in(skolem0005(X15,X16,X17),X17)|(skolem0005(X15,X16,X17)=X15|skolem0005(X15,X16,X17)=X16))|X17=unordered_pair(X15,X16)))))))))))),inference(distribute,status(thm),[c28])).
% 0.36/0.54 cnf(c31,axiom,X84!=unordered_pair(X85,X86)|X83!=X85|in(X83,X84),inference(split_conjunct,status(thm),[c29])).
% 0.36/0.54 cnf(c68,plain,X87!=X88|in(X87,unordered_pair(X88,X89)),inference(resolution,status(thm),[c31, reflexivity])).
% 0.36/0.54 cnf(c70,plain,in(X90,unordered_pair(X90,X91)),inference(resolution,status(thm),[c68, reflexivity])).
% 0.36/0.54 cnf(c73,plain,set_difference(singleton(X109),unordered_pair(X109,X108))=empty_set,inference(resolution,status(thm),[c70, c22])).
% 0.36/0.54 cnf(c89,plain,$false,inference(resolution,status(thm),[c73, c9])).
% 0.36/0.54 # SZS output end CNFRefutation
% 0.36/0.54
% 0.36/0.54 # Initial clauses : 22
% 0.36/0.54 # Processed clauses : 32
% 0.36/0.54 # Factors computed : 0
% 0.36/0.54 # Resolvents computed: 59
% 0.36/0.54 # Tautologies deleted: 2
% 0.36/0.54 # Forward subsumed : 8
% 0.36/0.54 # Backward subsumed : 0
% 0.36/0.54 # -------- CPU Time ---------
% 0.36/0.54 # User time : 0.180 s
% 0.36/0.54 # System time : 0.021 s
% 0.36/0.54 # Total time : 0.201 s
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