TSTP Solution File: SEU148+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU148+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 13:35:56 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEU148+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 13:11:53 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.57 # Version: 1.3
% 0.21/0.57 # SZS status Theorem
% 0.21/0.57 # SZS output start CNFRefutation
% 0.21/0.57 fof(t6_zfmisc_1,conjecture,(![A]:(![B]:(subset(singleton(A),singleton(B))=>A=B))),input).
% 0.21/0.57 fof(c4,negated_conjecture,(~(![A]:(![B]:(subset(singleton(A),singleton(B))=>A=B)))),inference(assume_negation,status(cth),[t6_zfmisc_1])).
% 0.21/0.57 fof(c5,negated_conjecture,(?[A]:(?[B]:(subset(singleton(A),singleton(B))&A!=B))),inference(fof_nnf,status(thm),[c4])).
% 0.21/0.57 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(subset(singleton(X2),singleton(X3))&X2!=X3))),inference(variable_rename,status(thm),[c5])).
% 0.21/0.57 fof(c7,negated_conjecture,(subset(singleton(skolem0001),singleton(skolem0002))&skolem0001!=skolem0002),inference(skolemize,status(esa),[c6])).
% 0.21/0.57 cnf(c9,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c7])).
% 0.21/0.57 cnf(symmetry,axiom,X24!=X23|X23=X24,eq_axiom).
% 0.21/0.57 cnf(reflexivity,axiom,X21=X21,eq_axiom).
% 0.21/0.57 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.21/0.57 fof(c31,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])).
% 0.21/0.57 fof(c32,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),[c31])).
% 0.21/0.57 fof(c33,axiom,((![X12]:(![X13]:(X13!=singleton(X12)|((![X14]:(~in(X14,X13)|X14=X12))&(![X15]:(X15!=X12|in(X15,X13)))))))&(![X16]:(![X17]:((?[X18]:((~in(X18,X17)|X18!=X16)&(in(X18,X17)|X18=X16)))|X17=singleton(X16))))),inference(variable_rename,status(thm),[c32])).
% 0.21/0.57 fof(c35,axiom,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:((X13!=singleton(X12)|((~in(X14,X13)|X14=X12)&(X15!=X12|in(X15,X13))))&(((~in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)!=X16)&(in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)=X16))|X17=singleton(X16))))))))),inference(shift_quantors,status(thm),[fof(c34,axiom,((![X12]:(![X13]:(X13!=singleton(X12)|((![X14]:(~in(X14,X13)|X14=X12))&(![X15]:(X15!=X12|in(X15,X13)))))))&(![X16]:(![X17]:(((~in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)!=X16)&(in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)=X16))|X17=singleton(X16))))),inference(skolemize,status(esa),[c33])).])).
% 0.21/0.57 fof(c36,axiom,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(((X13!=singleton(X12)|(~in(X14,X13)|X14=X12))&(X13!=singleton(X12)|(X15!=X12|in(X15,X13))))&(((~in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)!=X16)|X17=singleton(X16))&((in(skolem0005(X16,X17),X17)|skolem0005(X16,X17)=X16)|X17=singleton(X16)))))))))),inference(distribute,status(thm),[c35])).
% 0.21/0.57 cnf(c37,axiom,X47!=singleton(X46)|~in(X48,X47)|X48=X46,inference(split_conjunct,status(thm),[c36])).
% 0.21/0.57 cnf(c51,plain,~in(X49,singleton(X50))|X49=X50,inference(resolution,status(thm),[c37, reflexivity])).
% 0.21/0.57 cnf(c38,axiom,X56!=singleton(X55)|X57!=X55|in(X57,X56),inference(split_conjunct,status(thm),[c36])).
% 0.21/0.57 fof(l1_zfmisc_1,axiom,(![A]:singleton(A)!=empty_set),input).
% 0.21/0.57 fof(c28,axiom,(![X11]:singleton(X11)!=empty_set),inference(variable_rename,status(thm),[l1_zfmisc_1])).
% 0.21/0.57 cnf(c29,axiom,singleton(X26)!=empty_set,inference(split_conjunct,status(thm),[c28])).
% 0.21/0.57 cnf(c8,negated_conjecture,subset(singleton(skolem0001),singleton(skolem0002)),inference(split_conjunct,status(thm),[c7])).
% 0.21/0.57 fof(l4_zfmisc_1,axiom,(![A]:(![B]:(subset(A,singleton(B))<=>(A=empty_set|A=singleton(B))))),input).
% 0.21/0.57 fof(c20,axiom,(![A]:(![B]:((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(fof_nnf,status(thm),[l4_zfmisc_1])).
% 0.21/0.57 fof(c21,axiom,((![A]:(![B]:(~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))))&(![A]:(![B]:((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(shift_quantors,status(thm),[c20])).
% 0.21/0.57 fof(c23,axiom,(![X7]:(![X8]:(![X9]:(![X10]:((~subset(X7,singleton(X8))|(X7=empty_set|X7=singleton(X8)))&((X9!=empty_set&X9!=singleton(X10))|subset(X9,singleton(X10)))))))),inference(shift_quantors,status(thm),[fof(c22,axiom,((![X7]:(![X8]:(~subset(X7,singleton(X8))|(X7=empty_set|X7=singleton(X8)))))&(![X9]:(![X10]:((X9!=empty_set&X9!=singleton(X10))|subset(X9,singleton(X10)))))),inference(variable_rename,status(thm),[c21])).])).
% 0.21/0.57 fof(c24,axiom,(![X7]:(![X8]:(![X9]:(![X10]:((~subset(X7,singleton(X8))|(X7=empty_set|X7=singleton(X8)))&((X9!=empty_set|subset(X9,singleton(X10)))&(X9!=singleton(X10)|subset(X9,singleton(X10))))))))),inference(distribute,status(thm),[c23])).
% 0.21/0.57 cnf(c25,axiom,~subset(X79,singleton(X78))|X79=empty_set|X79=singleton(X78),inference(split_conjunct,status(thm),[c24])).
% 0.21/0.57 cnf(c66,plain,singleton(skolem0001)=empty_set|singleton(skolem0001)=singleton(skolem0002),inference(resolution,status(thm),[c25, c8])).
% 0.21/0.57 cnf(c78,plain,singleton(skolem0001)=singleton(skolem0002),inference(resolution,status(thm),[c66, c29])).
% 0.21/0.57 cnf(c133,plain,X97!=skolem0002|in(X97,singleton(skolem0001)),inference(resolution,status(thm),[c78, c38])).
% 0.21/0.57 cnf(c161,plain,in(skolem0002,singleton(skolem0001)),inference(resolution,status(thm),[c133, reflexivity])).
% 0.21/0.57 cnf(c165,plain,skolem0002=skolem0001,inference(resolution,status(thm),[c161, c51])).
% 0.21/0.57 cnf(c169,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c165, symmetry])).
% 0.21/0.57 cnf(c174,plain,$false,inference(resolution,status(thm),[c169, c9])).
% 0.21/0.57 # SZS output end CNFRefutation
% 0.21/0.57
% 0.21/0.57 # Initial clauses : 22
% 0.21/0.57 # Processed clauses : 43
% 0.21/0.57 # Factors computed : 0
% 0.21/0.57 # Resolvents computed: 139
% 0.21/0.57 # Tautologies deleted: 2
% 0.21/0.57 # Forward subsumed : 17
% 0.21/0.57 # Backward subsumed : 1
% 0.21/0.57 # -------- CPU Time ---------
% 0.21/0.57 # User time : 0.189 s
% 0.21/0.57 # System time : 0.018 s
% 0.21/0.57 # Total time : 0.207 s
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