TSTP Solution File: SEU230+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 13:36:40 EDT 2022
% Result : Theorem 3.24s 3.48s
% Output : Refutation 3.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 07:27:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.24/3.48 # Version: 1.3
% 3.24/3.48 # SZS status Theorem
% 3.24/3.48 # SZS output start CNFRefutation
% 3.24/3.48 fof(t10_ordinal1,conjecture,(![A]:in(A,succ(A))),input).
% 3.24/3.48 fof(c28,negated_conjecture,(~(![A]:in(A,succ(A)))),inference(assume_negation,status(cth),[t10_ordinal1])).
% 3.24/3.48 fof(c29,negated_conjecture,(?[A]:~in(A,succ(A))),inference(fof_nnf,status(thm),[c28])).
% 3.24/3.48 fof(c30,negated_conjecture,(?[X12]:~in(X12,succ(X12))),inference(variable_rename,status(thm),[c29])).
% 3.24/3.48 fof(c31,negated_conjecture,~in(skolem0001,succ(skolem0001)),inference(skolemize,status(esa),[c30])).
% 3.24/3.48 cnf(c32,negated_conjecture,~in(skolem0001,succ(skolem0001)),inference(split_conjunct,status(thm),[c31])).
% 3.24/3.48 cnf(reflexivity,axiom,X57=X57,eq_axiom).
% 3.24/3.48 fof(d1_tarski,axiom,(![A]:(![B]:(B=singleton(A)<=>(![C]:(in(C,B)<=>C=A))))),input).
% 3.24/3.48 fof(c119,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])).
% 3.24/3.48 fof(c120,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),[c119])).
% 3.24/3.48 fof(c121,axiom,((![X42]:(![X43]:(X43!=singleton(X42)|((![X44]:(~in(X44,X43)|X44=X42))&(![X45]:(X45!=X42|in(X45,X43)))))))&(![X46]:(![X47]:((?[X48]:((~in(X48,X47)|X48!=X46)&(in(X48,X47)|X48=X46)))|X47=singleton(X46))))),inference(variable_rename,status(thm),[c120])).
% 3.24/3.48 fof(c123,axiom,(![X42]:(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:((X43!=singleton(X42)|((~in(X44,X43)|X44=X42)&(X45!=X42|in(X45,X43))))&(((~in(skolem0014(X46,X47),X47)|skolem0014(X46,X47)!=X46)&(in(skolem0014(X46,X47),X47)|skolem0014(X46,X47)=X46))|X47=singleton(X46))))))))),inference(shift_quantors,status(thm),[fof(c122,axiom,((![X42]:(![X43]:(X43!=singleton(X42)|((![X44]:(~in(X44,X43)|X44=X42))&(![X45]:(X45!=X42|in(X45,X43)))))))&(![X46]:(![X47]:(((~in(skolem0014(X46,X47),X47)|skolem0014(X46,X47)!=X46)&(in(skolem0014(X46,X47),X47)|skolem0014(X46,X47)=X46))|X47=singleton(X46))))),inference(skolemize,status(esa),[c121])).])).
% 3.24/3.48 fof(c124,axiom,(![X42]:(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:(((X43!=singleton(X42)|(~in(X44,X43)|X44=X42))&(X43!=singleton(X42)|(X45!=X42|in(X45,X43))))&(((~in(skolem0014(X46,X47),X47)|skolem0014(X46,X47)!=X46)|X47=singleton(X46))&((in(skolem0014(X46,X47),X47)|skolem0014(X46,X47)=X46)|X47=singleton(X46)))))))))),inference(distribute,status(thm),[c123])).
% 3.24/3.48 cnf(c126,axiom,X158!=singleton(X156)|X157!=X156|in(X157,X158),inference(split_conjunct,status(thm),[c124])).
% 3.24/3.48 cnf(c432,plain,X341!=X342|in(X341,singleton(X342)),inference(resolution,status(thm),[c126, reflexivity])).
% 3.24/3.48 cnf(c3844,plain,in(X343,singleton(X343)),inference(resolution,status(thm),[c432, reflexivity])).
% 3.24/3.48 fof(d2_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_union2(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)|in(D,B)))))))),input).
% 3.24/3.48 fof(c107,axiom,(![A]:(![B]:(![C]:((C!=set_union2(A,B)|(![D]:((~in(D,C)|(in(D,A)|in(D,B)))&((~in(D,A)&~in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(fof_nnf,status(thm),[d2_xboole_0])).
% 3.24/3.48 fof(c108,axiom,((![A]:(![B]:(![C]:(C!=set_union2(A,B)|((![D]:(~in(D,C)|(in(D,A)|in(D,B))))&(![D]:((~in(D,A)&~in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))|C=set_union2(A,B)))))),inference(shift_quantors,status(thm),[c107])).
% 3.24/3.48 fof(c109,axiom,((![X33]:(![X34]:(![X35]:(X35!=set_union2(X33,X34)|((![X36]:(~in(X36,X35)|(in(X36,X33)|in(X36,X34))))&(![X37]:((~in(X37,X33)&~in(X37,X34))|in(X37,X35))))))))&(![X38]:(![X39]:(![X40]:((?[X41]:((~in(X41,X40)|(~in(X41,X38)&~in(X41,X39)))&(in(X41,X40)|(in(X41,X38)|in(X41,X39)))))|X40=set_union2(X38,X39)))))),inference(variable_rename,status(thm),[c108])).
% 3.24/3.48 fof(c111,axiom,(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:((X35!=set_union2(X33,X34)|((~in(X36,X35)|(in(X36,X33)|in(X36,X34)))&((~in(X37,X33)&~in(X37,X34))|in(X37,X35))))&(((~in(skolem0013(X38,X39,X40),X40)|(~in(skolem0013(X38,X39,X40),X38)&~in(skolem0013(X38,X39,X40),X39)))&(in(skolem0013(X38,X39,X40),X40)|(in(skolem0013(X38,X39,X40),X38)|in(skolem0013(X38,X39,X40),X39))))|X40=set_union2(X38,X39))))))))))),inference(shift_quantors,status(thm),[fof(c110,axiom,((![X33]:(![X34]:(![X35]:(X35!=set_union2(X33,X34)|((![X36]:(~in(X36,X35)|(in(X36,X33)|in(X36,X34))))&(![X37]:((~in(X37,X33)&~in(X37,X34))|in(X37,X35))))))))&(![X38]:(![X39]:(![X40]:(((~in(skolem0013(X38,X39,X40),X40)|(~in(skolem0013(X38,X39,X40),X38)&~in(skolem0013(X38,X39,X40),X39)))&(in(skolem0013(X38,X39,X40),X40)|(in(skolem0013(X38,X39,X40),X38)|in(skolem0013(X38,X39,X40),X39))))|X40=set_union2(X38,X39)))))),inference(skolemize,status(esa),[c109])).])).
% 3.24/3.48 fof(c112,axiom,(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:(((X35!=set_union2(X33,X34)|(~in(X36,X35)|(in(X36,X33)|in(X36,X34))))&((X35!=set_union2(X33,X34)|(~in(X37,X33)|in(X37,X35)))&(X35!=set_union2(X33,X34)|(~in(X37,X34)|in(X37,X35)))))&((((~in(skolem0013(X38,X39,X40),X40)|~in(skolem0013(X38,X39,X40),X38))|X40=set_union2(X38,X39))&((~in(skolem0013(X38,X39,X40),X40)|~in(skolem0013(X38,X39,X40),X39))|X40=set_union2(X38,X39)))&((in(skolem0013(X38,X39,X40),X40)|(in(skolem0013(X38,X39,X40),X38)|in(skolem0013(X38,X39,X40),X39)))|X40=set_union2(X38,X39)))))))))))),inference(distribute,status(thm),[c111])).
% 3.24/3.48 cnf(c115,axiom,X138!=set_union2(X136,X137)|~in(X139,X137)|in(X139,X138),inference(split_conjunct,status(thm),[c112])).
% 3.24/3.48 fof(d1_ordinal1,axiom,(![A]:succ(A)=set_union2(A,singleton(A))),input).
% 3.24/3.48 fof(c129,axiom,(![X49]:succ(X49)=set_union2(X49,singleton(X49))),inference(variable_rename,status(thm),[d1_ordinal1])).
% 3.24/3.48 cnf(c130,axiom,succ(X172)=set_union2(X172,singleton(X172)),inference(split_conjunct,status(thm),[c129])).
% 3.24/3.48 cnf(c481,plain,~in(X651,singleton(X652))|in(X651,succ(X652)),inference(resolution,status(thm),[c130, c115])).
% 3.24/3.48 cnf(c10640,plain,in(X653,succ(X653)),inference(resolution,status(thm),[c481, c3844])).
% 3.24/3.48 cnf(c10668,plain,$false,inference(resolution,status(thm),[c10640, c32])).
% 3.24/3.48 # SZS output end CNFRefutation
% 3.24/3.48
% 3.24/3.48 # Initial clauses : 73
% 3.24/3.48 # Processed clauses : 630
% 3.24/3.48 # Factors computed : 18
% 3.24/3.48 # Resolvents computed: 10508
% 3.24/3.48 # Tautologies deleted: 23
% 3.24/3.48 # Forward subsumed : 488
% 3.24/3.48 # Backward subsumed : 3
% 3.24/3.48 # -------- CPU Time ---------
% 3.24/3.48 # User time : 3.108 s
% 3.24/3.48 # System time : 0.035 s
% 3.24/3.48 # Total time : 3.143 s
%------------------------------------------------------------------------------