TSTP Solution File: SET867+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 04:40:58 EDT 2022
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n007.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 : Mon Jul 11 02:06:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.76 # Version: 1.3
% 0.54/0.76 # SZS status Theorem
% 0.54/0.76 # SZS output start CNFRefutation
% 0.54/0.76 fof(t2_zfmisc_1,conjecture,union(empty_set)=empty_set,input).
% 0.54/0.76 fof(c3,negated_conjecture,(~union(empty_set)=empty_set),inference(assume_negation,status(cth),[t2_zfmisc_1])).
% 0.54/0.76 fof(c4,negated_conjecture,union(empty_set)!=empty_set,inference(fof_simplification,status(thm),[c3])).
% 0.54/0.76 cnf(c5,negated_conjecture,union(empty_set)!=empty_set,inference(split_conjunct,status(thm),[c4])).
% 0.54/0.76 cnf(symmetry,axiom,X23!=X22|X22=X23,eq_axiom).
% 0.54/0.76 cnf(reflexivity,axiom,X21=X21,eq_axiom).
% 0.54/0.76 fof(d1_xboole_0,axiom,(![A]:(A=empty_set<=>(![B]:(~in(B,A))))),input).
% 0.54/0.76 fof(c26,axiom,(![A]:(A=empty_set<=>(![B]:~in(B,A)))),inference(fof_simplification,status(thm),[d1_xboole_0])).
% 0.54/0.76 fof(c27,axiom,(![A]:((A!=empty_set|(![B]:~in(B,A)))&((?[B]:in(B,A))|A=empty_set))),inference(fof_nnf,status(thm),[c26])).
% 0.54/0.76 fof(c28,axiom,((![A]:(A!=empty_set|(![B]:~in(B,A))))&(![A]:((?[B]:in(B,A))|A=empty_set))),inference(shift_quantors,status(thm),[c27])).
% 0.54/0.76 fof(c29,axiom,((![X15]:(X15!=empty_set|(![X16]:~in(X16,X15))))&(![X17]:((?[X18]:in(X18,X17))|X17=empty_set))),inference(variable_rename,status(thm),[c28])).
% 0.54/0.76 fof(c31,axiom,(![X15]:(![X16]:(![X17]:((X15!=empty_set|~in(X16,X15))&(in(skolem0006(X17),X17)|X17=empty_set))))),inference(shift_quantors,status(thm),[fof(c30,axiom,((![X15]:(X15!=empty_set|(![X16]:~in(X16,X15))))&(![X17]:(in(skolem0006(X17),X17)|X17=empty_set))),inference(skolemize,status(esa),[c29])).])).
% 0.54/0.76 cnf(c32,axiom,X33!=empty_set|~in(X32,X33),inference(split_conjunct,status(thm),[c31])).
% 0.54/0.76 fof(d4_tarski,axiom,(![A]:(![B]:(B=union(A)<=>(![C]:(in(C,B)<=>(?[D]:(in(C,D)&in(D,A)))))))),input).
% 0.54/0.76 fof(c14,axiom,(![A]:(![B]:((B!=union(A)|(![C]:((~in(C,B)|(?[D]:(in(C,D)&in(D,A))))&((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))&((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(fof_nnf,status(thm),[d4_tarski])).
% 0.54/0.76 fof(c15,axiom,((![A]:(![B]:(B!=union(A)|((![C]:(~in(C,B)|(?[D]:(in(C,D)&in(D,A)))))&(![C]:((![D]:(~in(C,D)|~in(D,A)))|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|(![D]:(~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]:(in(C,D)&in(D,A))))))|B=union(A))))),inference(shift_quantors,status(thm),[c14])).
% 0.54/0.76 fof(c16,axiom,((![X4]:(![X5]:(X5!=union(X4)|((![X6]:(~in(X6,X5)|(?[X7]:(in(X6,X7)&in(X7,X4)))))&(![X8]:((![X9]:(~in(X8,X9)|~in(X9,X4)))|in(X8,X5)))))))&(![X10]:(![X11]:((?[X12]:((~in(X12,X11)|(![X13]:(~in(X12,X13)|~in(X13,X10))))&(in(X12,X11)|(?[X14]:(in(X12,X14)&in(X14,X10))))))|X11=union(X10))))),inference(variable_rename,status(thm),[c15])).
% 0.54/0.76 fof(c18,axiom,(![X4]:(![X5]:(![X6]:(![X8]:(![X9]:(![X10]:(![X11]:(![X13]:((X5!=union(X4)|((~in(X6,X5)|(in(X6,skolem0003(X4,X5,X6))&in(skolem0003(X4,X5,X6),X4)))&((~in(X8,X9)|~in(X9,X4))|in(X8,X5))))&(((~in(skolem0004(X10,X11),X11)|(~in(skolem0004(X10,X11),X13)|~in(X13,X10)))&(in(skolem0004(X10,X11),X11)|(in(skolem0004(X10,X11),skolem0005(X10,X11))&in(skolem0005(X10,X11),X10))))|X11=union(X10))))))))))),inference(shift_quantors,status(thm),[fof(c17,axiom,((![X4]:(![X5]:(X5!=union(X4)|((![X6]:(~in(X6,X5)|(in(X6,skolem0003(X4,X5,X6))&in(skolem0003(X4,X5,X6),X4))))&(![X8]:((![X9]:(~in(X8,X9)|~in(X9,X4)))|in(X8,X5)))))))&(![X10]:(![X11]:(((~in(skolem0004(X10,X11),X11)|(![X13]:(~in(skolem0004(X10,X11),X13)|~in(X13,X10))))&(in(skolem0004(X10,X11),X11)|(in(skolem0004(X10,X11),skolem0005(X10,X11))&in(skolem0005(X10,X11),X10))))|X11=union(X10))))),inference(skolemize,status(esa),[c16])).])).
% 0.54/0.76 fof(c19,axiom,(![X4]:(![X5]:(![X6]:(![X8]:(![X9]:(![X10]:(![X11]:(![X13]:((((X5!=union(X4)|(~in(X6,X5)|in(X6,skolem0003(X4,X5,X6))))&(X5!=union(X4)|(~in(X6,X5)|in(skolem0003(X4,X5,X6),X4))))&(X5!=union(X4)|((~in(X8,X9)|~in(X9,X4))|in(X8,X5))))&(((~in(skolem0004(X10,X11),X11)|(~in(skolem0004(X10,X11),X13)|~in(X13,X10)))|X11=union(X10))&(((in(skolem0004(X10,X11),X11)|in(skolem0004(X10,X11),skolem0005(X10,X11)))|X11=union(X10))&((in(skolem0004(X10,X11),X11)|in(skolem0005(X10,X11),X10))|X11=union(X10))))))))))))),inference(distribute,status(thm),[c18])).
% 0.54/0.76 cnf(c25,axiom,in(skolem0004(X85,X84),X84)|in(skolem0005(X85,X84),X85)|X84=union(X85),inference(split_conjunct,status(thm),[c19])).
% 0.54/0.76 cnf(c140,plain,in(skolem0005(X172,X171),X172)|X171=union(X172)|X171!=empty_set,inference(resolution,status(thm),[c25, c32])).
% 0.54/0.76 cnf(c453,plain,in(skolem0005(X173,empty_set),X173)|empty_set=union(X173),inference(resolution,status(thm),[c140, reflexivity])).
% 0.54/0.76 cnf(c455,plain,empty_set=union(X177)|X177!=empty_set,inference(resolution,status(thm),[c453, c32])).
% 0.54/0.76 cnf(c489,plain,empty_set=union(empty_set),inference(resolution,status(thm),[c455, reflexivity])).
% 0.54/0.76 cnf(c498,plain,union(empty_set)=empty_set,inference(resolution,status(thm),[c489, symmetry])).
% 0.54/0.76 cnf(c509,plain,$false,inference(resolution,status(thm),[c498, c5])).
% 0.54/0.76 # SZS output end CNFRefutation
% 0.54/0.76
% 0.54/0.76 # Initial clauses : 19
% 0.54/0.76 # Processed clauses : 86
% 0.54/0.76 # Factors computed : 1
% 0.54/0.76 # Resolvents computed: 482
% 0.54/0.76 # Tautologies deleted: 3
% 0.54/0.76 # Forward subsumed : 40
% 0.54/0.76 # Backward subsumed : 1
% 0.54/0.76 # -------- CPU Time ---------
% 0.54/0.76 # User time : 0.408 s
% 0.54/0.76 # System time : 0.018 s
% 0.54/0.76 # Total time : 0.426 s
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