TSTP Solution File: SET880+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 04:41:02 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET880+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 03:54:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.53 # Version: 1.3
% 0.19/0.53 # SZS status Theorem
% 0.19/0.53 # SZS output start CNFRefutation
% 0.19/0.53 fof(t21_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),singleton(B))=empty_set=>A=B))),input).
% 0.19/0.53 fof(c4,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),singleton(B))=empty_set=>A=B)))),inference(assume_negation,status(cth),[t21_zfmisc_1])).
% 0.19/0.53 fof(c5,negated_conjecture,(?[A]:(?[B]:(set_difference(singleton(A),singleton(B))=empty_set&A!=B))),inference(fof_nnf,status(thm),[c4])).
% 0.19/0.53 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(set_difference(singleton(X2),singleton(X3))=empty_set&X2!=X3))),inference(variable_rename,status(thm),[c5])).
% 0.19/0.53 fof(c7,negated_conjecture,(set_difference(singleton(skolem0001),singleton(skolem0002))=empty_set&skolem0001!=skolem0002),inference(skolemize,status(esa),[c6])).
% 0.19/0.53 cnf(c9,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c7])).
% 0.19/0.53 cnf(c8,negated_conjecture,set_difference(singleton(skolem0001),singleton(skolem0002))=empty_set,inference(split_conjunct,status(thm),[c7])).
% 0.19/0.53 fof(l36_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),input).
% 0.19/0.53 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])).
% 0.19/0.53 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])).
% 0.19/0.53 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])).])).
% 0.19/0.53 cnf(c21,axiom,set_difference(singleton(X37),X36)!=empty_set|in(X37,X36),inference(split_conjunct,status(thm),[c20])).
% 0.19/0.53 cnf(c46,plain,in(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c21, c8])).
% 0.19/0.53 cnf(reflexivity,axiom,X19=X19,eq_axiom).
% 0.19/0.53 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.19/0.53 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])).
% 0.19/0.53 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])).
% 0.19/0.53 fof(c26,axiom,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|X16!=X14)&(in(X16,X15)|X16=X14)))|X15=singleton(X14))))),inference(variable_rename,status(thm),[c25])).
% 0.19/0.53 fof(c28,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((X11!=singleton(X10)|((~in(X12,X11)|X12=X10)&(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))))))),inference(shift_quantors,status(thm),[fof(c27,axiom,((![X10]:(![X11]:(X11!=singleton(X10)|((![X12]:(~in(X12,X11)|X12=X10))&(![X13]:(X13!=X10|in(X13,X11)))))))&(![X14]:(![X15]:(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)&(in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14))|X15=singleton(X14))))),inference(skolemize,status(esa),[c26])).])).
% 0.19/0.53 fof(c29,axiom,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((X11!=singleton(X10)|(~in(X12,X11)|X12=X10))&(X11!=singleton(X10)|(X13!=X10|in(X13,X11))))&(((~in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)!=X14)|X15=singleton(X14))&((in(skolem0005(X14,X15),X15)|skolem0005(X14,X15)=X14)|X15=singleton(X14)))))))))),inference(distribute,status(thm),[c28])).
% 0.19/0.53 cnf(c30,axiom,X45!=singleton(X44)|~in(X46,X45)|X46=X44,inference(split_conjunct,status(thm),[c29])).
% 0.19/0.53 cnf(c51,plain,~in(X48,singleton(X47))|X48=X47,inference(resolution,status(thm),[c30, reflexivity])).
% 0.19/0.53 cnf(c52,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c51, c46])).
% 0.19/0.53 cnf(c53,plain,$false,inference(resolution,status(thm),[c52, c9])).
% 0.19/0.53 # SZS output end CNFRefutation
% 0.19/0.53
% 0.19/0.53 # Initial clauses : 19
% 0.19/0.53 # Processed clauses : 20
% 0.19/0.53 # Factors computed : 0
% 0.19/0.53 # Resolvents computed: 22
% 0.19/0.53 # Tautologies deleted: 2
% 0.19/0.53 # Forward subsumed : 2
% 0.19/0.53 # Backward subsumed : 0
% 0.19/0.53 # -------- CPU Time ---------
% 0.19/0.53 # User time : 0.175 s
% 0.19/0.53 # System time : 0.017 s
% 0.19/0.53 # Total time : 0.192 s
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