TSTP Solution File: SEU147+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU147+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 13:35:55 EDT 2022
% Result : Theorem 140.80s 141.03s
% Output : Refutation 140.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU147+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n019.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 02:17:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 140.80/141.03 # Version: 1.3
% 140.80/141.03 # SZS status Theorem
% 140.80/141.03 # SZS output start CNFRefutation
% 140.80/141.03 fof(t1_zfmisc_1,conjecture,powerset(empty_set)=singleton(empty_set),input).
% 140.80/141.03 fof(c14,negated_conjecture,(~powerset(empty_set)=singleton(empty_set)),inference(assume_negation,status(cth),[t1_zfmisc_1])).
% 140.80/141.03 fof(c15,negated_conjecture,powerset(empty_set)!=singleton(empty_set),inference(fof_simplification,status(thm),[c14])).
% 140.80/141.03 cnf(c16,negated_conjecture,powerset(empty_set)!=singleton(empty_set),inference(split_conjunct,status(thm),[c15])).
% 140.80/141.03 cnf(reflexivity,axiom,X25=X25,eq_axiom).
% 140.80/141.03 cnf(c2,plain,X52!=X53|X50!=X51|~in(X52,X50)|in(X53,X51),eq_axiom).
% 140.80/141.03 fof(reflexivity_r1_tarski,axiom,(![A]:(![B]:subset(A,A))),input).
% 140.80/141.03 fof(c17,axiom,(![A]:subset(A,A)),inference(fof_simplification,status(thm),[reflexivity_r1_tarski])).
% 140.80/141.03 fof(c18,axiom,(![X6]:subset(X6,X6)),inference(variable_rename,status(thm),[c17])).
% 140.80/141.03 cnf(c19,axiom,subset(X26,X26),inference(split_conjunct,status(thm),[c18])).
% 140.80/141.03 fof(d1_zfmisc_1,axiom,(![A]:(![B]:(B=powerset(A)<=>(![C]:(in(C,B)<=>subset(C,A)))))),input).
% 140.80/141.03 fof(c31,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])).
% 140.80/141.03 fof(c32,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),[c31])).
% 140.80/141.03 fof(c33,axiom,((![X9]:(![X10]:(X10!=powerset(X9)|((![X11]:(~in(X11,X10)|subset(X11,X9)))&(![X12]:(~subset(X12,X9)|in(X12,X10)))))))&(![X13]:(![X14]:((?[X15]:((~in(X15,X14)|~subset(X15,X13))&(in(X15,X14)|subset(X15,X13))))|X14=powerset(X13))))),inference(variable_rename,status(thm),[c32])).
% 140.80/141.03 fof(c35,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:((X10!=powerset(X9)|((~in(X11,X10)|subset(X11,X9))&(~subset(X12,X9)|in(X12,X10))))&(((~in(skolem0004(X13,X14),X14)|~subset(skolem0004(X13,X14),X13))&(in(skolem0004(X13,X14),X14)|subset(skolem0004(X13,X14),X13)))|X14=powerset(X13))))))))),inference(shift_quantors,status(thm),[fof(c34,axiom,((![X9]:(![X10]:(X10!=powerset(X9)|((![X11]:(~in(X11,X10)|subset(X11,X9)))&(![X12]:(~subset(X12,X9)|in(X12,X10)))))))&(![X13]:(![X14]:(((~in(skolem0004(X13,X14),X14)|~subset(skolem0004(X13,X14),X13))&(in(skolem0004(X13,X14),X14)|subset(skolem0004(X13,X14),X13)))|X14=powerset(X13))))),inference(skolemize,status(esa),[c33])).])).
% 140.80/141.03 fof(c36,axiom,(![X9]:(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(((X10!=powerset(X9)|(~in(X11,X10)|subset(X11,X9)))&(X10!=powerset(X9)|(~subset(X12,X9)|in(X12,X10))))&(((~in(skolem0004(X13,X14),X14)|~subset(skolem0004(X13,X14),X13))|X14=powerset(X13))&((in(skolem0004(X13,X14),X14)|subset(skolem0004(X13,X14),X13))|X14=powerset(X13)))))))))),inference(distribute,status(thm),[c35])).
% 140.80/141.03 cnf(c38,axiom,X56!=powerset(X58)|~subset(X57,X58)|in(X57,X56),inference(split_conjunct,status(thm),[c36])).
% 140.80/141.03 cnf(c62,plain,~subset(X59,X60)|in(X59,powerset(X60)),inference(resolution,status(thm),[c38, reflexivity])).
% 140.80/141.03 cnf(c63,plain,in(X61,powerset(X61)),inference(resolution,status(thm),[c62, c19])).
% 140.80/141.03 cnf(c64,plain,X93!=X94|powerset(X93)!=X92|in(X94,X92),inference(resolution,status(thm),[c63, c2])).
% 140.80/141.03 cnf(c100,plain,X95!=X96|in(X96,powerset(X95)),inference(resolution,status(thm),[c64, reflexivity])).
% 140.80/141.03 cnf(symmetry,axiom,X27!=X28|X28=X27,eq_axiom).
% 140.80/141.03 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 140.80/141.03 fof(c41,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])).
% 140.80/141.03 fof(c42,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),[c41])).
% 140.80/141.03 fof(c43,axiom,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|X22!=X20)&(in(X22,X21)|X22=X20)))|X21=singleton(X20))))),inference(variable_rename,status(thm),[c42])).
% 140.80/141.03 fof(c45,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X17!=singleton(X16)|((~in(X18,X17)|X18=X16)&(X19!=X16|in(X19,X17))))&(((~in(skolem0005(X20,X21),X21)|skolem0005(X20,X21)!=X20)&(in(skolem0005(X20,X21),X21)|skolem0005(X20,X21)=X20))|X21=singleton(X20))))))))),inference(shift_quantors,status(thm),[fof(c44,axiom,((![X16]:(![X17]:(X17!=singleton(X16)|((![X18]:(~in(X18,X17)|X18=X16))&(![X19]:(X19!=X16|in(X19,X17)))))))&(![X20]:(![X21]:(((~in(skolem0005(X20,X21),X21)|skolem0005(X20,X21)!=X20)&(in(skolem0005(X20,X21),X21)|skolem0005(X20,X21)=X20))|X21=singleton(X20))))),inference(skolemize,status(esa),[c43])).])).
% 140.80/141.03 fof(c46,axiom,(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:(((X17!=singleton(X16)|(~in(X18,X17)|X18=X16))&(X17!=singleton(X16)|(X19!=X16|in(X19,X17))))&(((~in(skolem0005(X20,X21),X21)|skolem0005(X20,X21)!=X20)|X21=singleton(X20))&((in(skolem0005(X20,X21),X21)|skolem0005(X20,X21)=X20)|X21=singleton(X20)))))))))),inference(distribute,status(thm),[c45])).
% 140.80/141.03 cnf(c50,axiom,in(skolem0005(X130,X131),X131)|skolem0005(X130,X131)=X130|X131=singleton(X130),inference(split_conjunct,status(thm),[c46])).
% 140.80/141.03 cnf(c188,plain,in(skolem0005(X199,X200),X200)|X200=singleton(X199)|X199=skolem0005(X199,X200),inference(resolution,status(thm),[c50, symmetry])).
% 140.80/141.03 cnf(c498,plain,in(skolem0005(X840,X839),X839)|X839=singleton(X840)|in(skolem0005(X840,X839),powerset(X840)),inference(resolution,status(thm),[c188, c100])).
% 140.80/141.03 cnf(c9050,plain,in(skolem0005(X923,powerset(X923)),powerset(X923))|powerset(X923)=singleton(X923),inference(factor,status(thm),[c498])).
% 140.80/141.03 cnf(c49,axiom,~in(skolem0005(X120,X121),X121)|skolem0005(X120,X121)!=X120|X121=singleton(X120),inference(split_conjunct,status(thm),[c46])).
% 140.80/141.03 fof(t3_xboole_1,axiom,(![A]:(subset(A,empty_set)=>A=empty_set)),input).
% 140.80/141.03 fof(c5,axiom,(![A]:(~subset(A,empty_set)|A=empty_set)),inference(fof_nnf,status(thm),[t3_xboole_1])).
% 140.80/141.03 fof(c6,axiom,(![X2]:(~subset(X2,empty_set)|X2=empty_set)),inference(variable_rename,status(thm),[c5])).
% 140.80/141.03 cnf(c7,axiom,~subset(X40,empty_set)|X40=empty_set,inference(split_conjunct,status(thm),[c6])).
% 140.80/141.03 cnf(c37,axiom,X47!=powerset(X49)|~in(X48,X47)|subset(X48,X49),inference(split_conjunct,status(thm),[c36])).
% 140.80/141.03 cnf(c61,plain,~in(X55,powerset(X54))|subset(X55,X54),inference(resolution,status(thm),[c37, reflexivity])).
% 140.80/141.03 cnf(c9109,plain,in(skolem0005(empty_set,powerset(empty_set)),powerset(empty_set)),inference(resolution,status(thm),[c498, c16])).
% 140.80/141.03 cnf(c9214,plain,subset(skolem0005(empty_set,powerset(empty_set)),empty_set),inference(resolution,status(thm),[c9109, c61])).
% 140.80/141.03 cnf(c9238,plain,skolem0005(empty_set,powerset(empty_set))=empty_set,inference(resolution,status(thm),[c9214, c7])).
% 140.80/141.03 cnf(c9259,plain,~in(skolem0005(empty_set,powerset(empty_set)),powerset(empty_set))|powerset(empty_set)=singleton(empty_set),inference(resolution,status(thm),[c9238, c49])).
% 140.80/141.03 cnf(c237972,plain,powerset(empty_set)=singleton(empty_set),inference(resolution,status(thm),[c9259, c9050])).
% 140.80/141.03 cnf(c238146,plain,$false,inference(resolution,status(thm),[c237972, c16])).
% 140.80/141.03 # SZS output end CNFRefutation
% 140.80/141.03
% 140.80/141.03 # Initial clauses : 28
% 140.80/141.03 # Processed clauses : 1632
% 140.80/141.03 # Factors computed : 369
% 140.80/141.03 # Resolvents computed: 237813
% 140.80/141.03 # Tautologies deleted: 42
% 140.80/141.03 # Forward subsumed : 1443
% 140.80/141.03 # Backward subsumed : 3
% 140.80/141.03 # -------- CPU Time ---------
% 140.80/141.03 # User time : 140.011 s
% 140.80/141.03 # System time : 0.629 s
% 140.80/141.03 # Total time : 140.640 s
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