TSTP Solution File: SEU143+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU143+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n028.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 13:35:53 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU143+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n028.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 : Mon Jun 20 09:41:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.52 # Version: 1.3
% 0.20/0.52 # SZS status Theorem
% 0.20/0.52 # SZS output start CNFRefutation
% 0.20/0.52 cnf(reflexivity,axiom,X18=X18,eq_axiom).
% 0.20/0.52 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),input).
% 0.20/0.52 fof(c18,axiom,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,status(thm),[d1_xboole_0])).
% 0.20/0.52 fof(c19,axiom,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,status(thm),[c18])).
% 0.20/0.52 fof(c20,axiom,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,status(thm),[c19])).
% 0.20/0.52 fof(c21,axiom,((![X5]:(X5!=empty_set|(![X6]:~in(X6,X5))))&(![X7]:((?[X8]:in(X8,X7))|X7=empty_set))),inference(variable_rename,status(thm),[c20])).
% 0.20/0.52 fof(c23,axiom,(![X5]:(![X6]:(![X7]:((X5!=empty_set|~in(X6,X5))&(in(skolem0004(X7),X7)|X7=empty_set))))),inference(shift_quantors,status(thm),[fof(c22,axiom,((![X5]:(X5!=empty_set|(![X6]:~in(X6,X5))))&(![X7]:(in(skolem0004(X7),X7)|X7=empty_set))),inference(skolemize,status(esa),[c21])).])).
% 0.20/0.52 cnf(c24,axiom,X29!=empty_set|~in(X30,X29),inference(split_conjunct,status(thm),[c23])).
% 0.20/0.52 cnf(symmetry,axiom,X19!=X20|X20=X19,eq_axiom).
% 0.20/0.52 fof(l1_zfmisc_1,conjecture,(![A]:singleton(A)!=empty_set),input).
% 0.20/0.52 fof(c10,negated_conjecture,(~(![A]:singleton(A)!=empty_set)),inference(assume_negation,status(cth),[l1_zfmisc_1])).
% 0.20/0.52 fof(c11,negated_conjecture,(?[A]:singleton(A)=empty_set),inference(fof_nnf,status(thm),[c10])).
% 0.20/0.52 fof(c12,negated_conjecture,(?[X4]:singleton(X4)=empty_set),inference(variable_rename,status(thm),[c11])).
% 0.20/0.52 fof(c13,negated_conjecture,singleton(skolem0003)=empty_set,inference(skolemize,status(esa),[c12])).
% 0.20/0.52 cnf(c14,negated_conjecture,singleton(skolem0003)=empty_set,inference(split_conjunct,status(thm),[c13])).
% 0.20/0.52 cnf(c41,plain,empty_set=singleton(skolem0003),inference(resolution,status(thm),[c14, symmetry])).
% 0.20/0.52 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 0.20/0.52 fof(c26,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])).
% 0.20/0.52 fof(c27,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),[c26])).
% 0.20/0.52 fof(c28,axiom,((![X9]:(![X10]:(X10!=singleton(X9)|((![X11]:(~in(X11,X10)|X11=X9))&(![X12]:(X12!=X9|in(X12,X10)))))))&(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|X15!=X13)&(in(X15,X14)|X15=X13)))|X14=singleton(X13))))),inference(variable_rename,status(thm),[c27])).
% 0.20/0.52 fof(c30,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X10!=singleton(X9)|((~in(X11,X10)|X11=X9)&(X12!=X9|in(X12,X10))))&(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)&(in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13))|X14=singleton(X13))))))))),inference(shift_quantors,status(thm),[fof(c29,axiom,((![X9]:(![X10]:(X10!=singleton(X9)|((![X11]:(~in(X11,X10)|X11=X9))&(![X12]:(X12!=X9|in(X12,X10)))))))&(![X13]:(![X14]:(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)&(in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13))|X14=singleton(X13))))),inference(skolemize,status(esa),[c28])).])).
% 0.20/0.52 fof(c31,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X10!=singleton(X9)|(~in(X11,X10)|X11=X9))&(X10!=singleton(X9)|(X12!=X9|in(X12,X10))))&(((~in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)!=X13)|X14=singleton(X13))&((in(skolem0005(X13,X14),X14)|skolem0005(X13,X14)=X13)|X14=singleton(X13)))))))))),inference(distribute,status(thm),[c30])).
% 0.20/0.52 cnf(c33,axiom,X57!=singleton(X56)|X55!=X56|in(X55,X57),inference(split_conjunct,status(thm),[c31])).
% 0.20/0.52 cnf(c78,plain,X58!=skolem0003|in(X58,empty_set),inference(resolution,status(thm),[c33, c41])).
% 0.20/0.52 cnf(c82,plain,in(skolem0003,empty_set),inference(resolution,status(thm),[c78, reflexivity])).
% 0.20/0.52 cnf(c86,plain,empty_set!=empty_set,inference(resolution,status(thm),[c82, c24])).
% 0.20/0.52 cnf(c90,plain,$false,inference(resolution,status(thm),[c86, reflexivity])).
% 0.20/0.52 # SZS output end CNFRefutation
% 0.20/0.52
% 0.20/0.52 # Initial clauses : 19
% 0.20/0.52 # Processed clauses : 30
% 0.20/0.52 # Factors computed : 0
% 0.20/0.52 # Resolvents computed: 51
% 0.20/0.52 # Tautologies deleted: 3
% 0.20/0.52 # Forward subsumed : 10
% 0.20/0.52 # Backward subsumed : 1
% 0.20/0.52 # -------- CPU Time ---------
% 0.20/0.52 # User time : 0.168 s
% 0.20/0.52 # System time : 0.016 s
% 0.20/0.52 # Total time : 0.184 s
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