TSTP Solution File: SET947+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 04:41:31 EDT 2022
% Result : Theorem 0.44s 0.61s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 01:16:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.44/0.61 # Version: 1.3
% 0.44/0.61 # SZS status Theorem
% 0.44/0.61 # SZS output start CNFRefutation
% 0.44/0.61 fof(t100_zfmisc_1,conjecture,(![A]:subset(A,powerset(union(A)))),input).
% 0.44/0.61 fof(c5,negated_conjecture,(~(![A]:subset(A,powerset(union(A))))),inference(assume_negation,status(cth),[t100_zfmisc_1])).
% 0.44/0.61 fof(c6,negated_conjecture,(?[A]:~subset(A,powerset(union(A)))),inference(fof_nnf,status(thm),[c5])).
% 0.44/0.61 fof(c7,negated_conjecture,(?[X2]:~subset(X2,powerset(union(X2)))),inference(variable_rename,status(thm),[c6])).
% 0.44/0.61 fof(c8,negated_conjecture,~subset(skolem0001,powerset(union(skolem0001))),inference(skolemize,status(esa),[c7])).
% 0.44/0.61 cnf(c9,negated_conjecture,~subset(skolem0001,powerset(union(skolem0001))),inference(split_conjunct,status(thm),[c8])).
% 0.44/0.61 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 0.44/0.61 fof(c23,axiom,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[d3_tarski])).
% 0.44/0.61 fof(c24,axiom,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c23])).
% 0.44/0.61 fof(c25,axiom,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((?[X13]:(in(X13,X11)&~in(X13,X12)))|subset(X11,X12))))),inference(variable_rename,status(thm),[c24])).
% 0.44/0.61 fof(c27,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0004(X11,X12),X11)&~in(skolem0004(X11,X12),X12))|subset(X11,X12)))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,((![X8]:(![X9]:(~subset(X8,X9)|(![X10]:(~in(X10,X8)|in(X10,X9))))))&(![X11]:(![X12]:((in(skolem0004(X11,X12),X11)&~in(skolem0004(X11,X12),X12))|subset(X11,X12))))),inference(skolemize,status(esa),[c25])).])).
% 0.44/0.61 fof(c28,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(![X12]:((~subset(X8,X9)|(~in(X10,X8)|in(X10,X9)))&((in(skolem0004(X11,X12),X11)|subset(X11,X12))&(~in(skolem0004(X11,X12),X12)|subset(X11,X12))))))))),inference(distribute,status(thm),[c27])).
% 0.44/0.61 cnf(c31,axiom,~in(skolem0004(X46,X45),X45)|subset(X46,X45),inference(split_conjunct,status(thm),[c28])).
% 0.44/0.61 fof(l50_zfmisc_1,axiom,(![A]:(![B]:(in(A,B)=>subset(A,union(B))))),input).
% 0.44/0.61 fof(c20,axiom,(![A]:(![B]:(~in(A,B)|subset(A,union(B))))),inference(fof_nnf,status(thm),[l50_zfmisc_1])).
% 0.44/0.61 fof(c21,axiom,(![X6]:(![X7]:(~in(X6,X7)|subset(X6,union(X7))))),inference(variable_rename,status(thm),[c20])).
% 0.44/0.61 cnf(c22,axiom,~in(X42,X41)|subset(X42,union(X41)),inference(split_conjunct,status(thm),[c21])).
% 0.44/0.61 cnf(c30,axiom,in(skolem0004(X44,X43),X44)|subset(X44,X43),inference(split_conjunct,status(thm),[c28])).
% 0.44/0.61 cnf(c50,plain,subset(X57,X56)|subset(skolem0004(X57,X56),union(X57)),inference(resolution,status(thm),[c30, c22])).
% 0.44/0.61 cnf(reflexivity,axiom,X23=X23,eq_axiom).
% 0.44/0.61 fof(d1_zfmisc_1,axiom,(![A]:(![B]:(B=powerset(A)<=>(![C]:(in(C,B)<=>subset(C,A)))))),input).
% 0.44/0.61 fof(c32,axiom,(![A]:(![B]:((B!=powerset(A)|(![C]:((~in(C,B)|subset(C,A))&(~subset(C,A)|in(C,B)))))&((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(fof_nnf,status(thm),[d1_zfmisc_1])).
% 0.44/0.61 fof(c33,axiom,((![A]:(![B]:(B!=powerset(A)|((![C]:(~in(C,B)|subset(C,A)))&(![C]:(~subset(C,A)|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(shift_quantors,status(thm),[c32])).
% 0.44/0.61 fof(c34,axiom,((![X14]:(![X15]:(X15!=powerset(X14)|((![X16]:(~in(X16,X15)|subset(X16,X14)))&(![X17]:(~subset(X17,X14)|in(X17,X15)))))))&(![X18]:(![X19]:((?[X20]:((~in(X20,X19)|~subset(X20,X18))&(in(X20,X19)|subset(X20,X18))))|X19=powerset(X18))))),inference(variable_rename,status(thm),[c33])).
% 0.44/0.61 fof(c36,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:((X15!=powerset(X14)|((~in(X16,X15)|subset(X16,X14))&(~subset(X17,X14)|in(X17,X15))))&(((~in(skolem0005(X18,X19),X19)|~subset(skolem0005(X18,X19),X18))&(in(skolem0005(X18,X19),X19)|subset(skolem0005(X18,X19),X18)))|X19=powerset(X18))))))))),inference(shift_quantors,status(thm),[fof(c35,axiom,((![X14]:(![X15]:(X15!=powerset(X14)|((![X16]:(~in(X16,X15)|subset(X16,X14)))&(![X17]:(~subset(X17,X14)|in(X17,X15)))))))&(![X18]:(![X19]:(((~in(skolem0005(X18,X19),X19)|~subset(skolem0005(X18,X19),X18))&(in(skolem0005(X18,X19),X19)|subset(skolem0005(X18,X19),X18)))|X19=powerset(X18))))),inference(skolemize,status(esa),[c34])).])).
% 0.44/0.61 fof(c37,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(((X15!=powerset(X14)|(~in(X16,X15)|subset(X16,X14)))&(X15!=powerset(X14)|(~subset(X17,X14)|in(X17,X15))))&(((~in(skolem0005(X18,X19),X19)|~subset(skolem0005(X18,X19),X18))|X19=powerset(X18))&((in(skolem0005(X18,X19),X19)|subset(skolem0005(X18,X19),X18))|X19=powerset(X18)))))))))),inference(distribute,status(thm),[c36])).
% 0.44/0.61 cnf(c39,axiom,X68!=powerset(X69)|~subset(X67,X69)|in(X67,X68),inference(split_conjunct,status(thm),[c37])).
% 0.44/0.61 cnf(c60,plain,~subset(X71,X70)|in(X71,powerset(X70)),inference(resolution,status(thm),[c39, reflexivity])).
% 0.44/0.61 cnf(c61,plain,in(skolem0004(X145,X146),powerset(union(X145)))|subset(X145,X146),inference(resolution,status(thm),[c60, c50])).
% 0.44/0.61 cnf(c240,plain,subset(X147,powerset(union(X147))),inference(resolution,status(thm),[c61, c31])).
% 0.44/0.61 cnf(c253,plain,$false,inference(resolution,status(thm),[c240, c9])).
% 0.44/0.61 # SZS output end CNFRefutation
% 0.44/0.61
% 0.44/0.61 # Initial clauses : 21
% 0.44/0.61 # Processed clauses : 60
% 0.44/0.61 # Factors computed : 0
% 0.44/0.61 # Resolvents computed: 212
% 0.44/0.61 # Tautologies deleted: 2
% 0.44/0.61 # Forward subsumed : 17
% 0.44/0.61 # Backward subsumed : 0
% 0.44/0.61 # -------- CPU Time ---------
% 0.44/0.61 # User time : 0.233 s
% 0.44/0.61 # System time : 0.016 s
% 0.44/0.61 # Total time : 0.249 s
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