TSTP Solution File: NUN067+2 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n027.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 : Mon Jul 18 16:37:24 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN067+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n027.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 : Thu Jun 2 04:50:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.39/0.58 # Version: 1.3
% 0.39/0.58 # SZS status Theorem
% 0.39/0.58 # SZS output start CNFRefutation
% 0.39/0.58 fof(nonzerosexist,conjecture,(?[Y1]:(![Y2]:((~r1(Y2))|Y1!=Y2))),input).
% 0.39/0.58 fof(c4,negated_conjecture,(~(?[Y1]:(![Y2]:((~r1(Y2))|Y1!=Y2)))),inference(assume_negation,status(cth),[nonzerosexist])).
% 0.39/0.58 fof(c5,negated_conjecture,(~(?[Y1]:(![Y2]:(~r1(Y2)|Y1!=Y2)))),inference(fof_simplification,status(thm),[c4])).
% 0.39/0.58 fof(c6,negated_conjecture,(![Y1]:(?[Y2]:(r1(Y2)&Y1=Y2))),inference(fof_nnf,status(thm),[c5])).
% 0.39/0.58 fof(c7,negated_conjecture,(![X2]:(?[X3]:(r1(X3)&X2=X3))),inference(variable_rename,status(thm),[c6])).
% 0.39/0.58 fof(c8,negated_conjecture,(![X2]:(r1(skolem0001(X2))&X2=skolem0001(X2))),inference(skolemize,status(esa),[c7])).
% 0.39/0.58 cnf(c9,negated_conjecture,r1(skolem0001(X48)),inference(split_conjunct,status(thm),[c8])).
% 0.39/0.58 cnf(symmetry,axiom,X52!=X53|X53=X52,eq_axiom).
% 0.39/0.58 cnf(c10,negated_conjecture,X55=skolem0001(X55),inference(split_conjunct,status(thm),[c8])).
% 0.39/0.58 cnf(c84,plain,skolem0001(X58)=X58,inference(resolution,status(thm),[c10, symmetry])).
% 0.39/0.58 cnf(c0,plain,X69!=X70|~r1(X69)|r1(X70),eq_axiom).
% 0.39/0.58 cnf(c96,plain,~r1(skolem0001(X133))|r1(X133),inference(resolution,status(thm),[c0, c84])).
% 0.39/0.58 cnf(c183,plain,r1(X134),inference(resolution,status(thm),[c96, c9])).
% 0.39/0.58 fof(axiom_1,axiom,(?[Y24]:(![X19]:(((~r1(X19))&X19!=Y24)|(r1(X19)&X19=Y24)))),input).
% 0.39/0.58 fof(c75,axiom,(?[Y24]:(![X19]:((~r1(X19)&X19!=Y24)|(r1(X19)&X19=Y24)))),inference(fof_simplification,status(thm),[axiom_1])).
% 0.39/0.58 fof(c76,axiom,(?[X45]:(![X46]:((~r1(X46)&X46!=X45)|(r1(X46)&X46=X45)))),inference(variable_rename,status(thm),[c75])).
% 0.39/0.58 fof(c77,axiom,(![X46]:((~r1(X46)&X46!=skolem0021)|(r1(X46)&X46=skolem0021))),inference(skolemize,status(esa),[c76])).
% 0.39/0.58 fof(c78,axiom,(![X46]:(((~r1(X46)|r1(X46))&(~r1(X46)|X46=skolem0021))&((X46!=skolem0021|r1(X46))&(X46!=skolem0021|X46=skolem0021)))),inference(distribute,status(thm),[c77])).
% 0.39/0.58 cnf(c80,axiom,~r1(X83)|X83=skolem0021,inference(split_conjunct,status(thm),[c78])).
% 0.39/0.58 cnf(c184,plain,X135=skolem0021,inference(resolution,status(thm),[c183, c80])).
% 0.39/0.58 cnf(transitivity,axiom,X59!=X61|X61!=X60|X59=X60,eq_axiom).
% 0.39/0.58 cnf(c186,plain,skolem0021=X136,inference(resolution,status(thm),[c184, symmetry])).
% 0.39/0.58 cnf(c187,plain,X169!=skolem0021|X169=X168,inference(resolution,status(thm),[c186, transitivity])).
% 0.39/0.58 cnf(c200,plain,X171=X170,inference(resolution,status(thm),[c187, c184])).
% 0.39/0.58 fof(axiom_7a,axiom,(![X7]:(![Y10]:((![Y20]:((~r1(Y20))|Y20!=Y10))|(~r2(X7,Y10))))),input).
% 0.39/0.58 fof(c11,axiom,(![X7]:(![Y10]:((![Y20]:(~r1(Y20)|Y20!=Y10))|~r2(X7,Y10)))),inference(fof_simplification,status(thm),[axiom_7a])).
% 0.39/0.58 fof(c13,axiom,(![X4]:(![X5]:(![X6]:((~r1(X6)|X6!=X5)|~r2(X4,X5))))),inference(shift_quantors,status(thm),[fof(c12,axiom,(![X4]:(![X5]:((![X6]:(~r1(X6)|X6!=X5))|~r2(X4,X5)))),inference(variable_rename,status(thm),[c11])).])).
% 0.39/0.58 cnf(c14,axiom,~r1(X111)|X111!=X110|~r2(X109,X110),inference(split_conjunct,status(thm),[c13])).
% 0.39/0.58 fof(axiom_2,axiom,(![X11]:(?[Y21]:(![X12]:(((~r2(X11,X12))&X12!=Y21)|(r2(X11,X12)&X12=Y21))))),input).
% 0.39/0.58 fof(c67,axiom,(![X11]:(?[Y21]:(![X12]:((~r2(X11,X12)&X12!=Y21)|(r2(X11,X12)&X12=Y21))))),inference(fof_simplification,status(thm),[axiom_2])).
% 0.39/0.58 fof(c68,axiom,(![X42]:(?[X43]:(![X44]:((~r2(X42,X44)&X44!=X43)|(r2(X42,X44)&X44=X43))))),inference(variable_rename,status(thm),[c67])).
% 0.39/0.58 fof(c69,axiom,(![X42]:(![X44]:((~r2(X42,X44)&X44!=skolem0020(X42))|(r2(X42,X44)&X44=skolem0020(X42))))),inference(skolemize,status(esa),[c68])).
% 0.39/0.58 fof(c70,axiom,(![X42]:(![X44]:(((~r2(X42,X44)|r2(X42,X44))&(~r2(X42,X44)|X44=skolem0020(X42)))&((X44!=skolem0020(X42)|r2(X42,X44))&(X44!=skolem0020(X42)|X44=skolem0020(X42)))))),inference(distribute,status(thm),[c69])).
% 0.39/0.58 cnf(c73,axiom,X192!=skolem0020(X193)|r2(X193,X192),inference(split_conjunct,status(thm),[c70])).
% 0.39/0.58 cnf(c208,plain,r2(X194,X195),inference(resolution,status(thm),[c73, c200])).
% 0.39/0.58 cnf(c209,plain,~r1(X199)|X199!=X200,inference(resolution,status(thm),[c208, c14])).
% 0.39/0.58 cnf(c210,plain,~r1(X201),inference(resolution,status(thm),[c209, c200])).
% 0.39/0.58 cnf(c211,plain,$false,inference(resolution,status(thm),[c210, c183])).
% 0.39/0.58 # SZS output end CNFRefutation
% 0.39/0.58
% 0.39/0.58 # Initial clauses : 48
% 0.39/0.58 # Processed clauses : 62
% 0.39/0.58 # Factors computed : 0
% 0.39/0.58 # Resolvents computed: 129
% 0.39/0.58 # Tautologies deleted: 6
% 0.39/0.58 # Forward subsumed : 48
% 0.39/0.58 # Backward subsumed : 49
% 0.39/0.58 # -------- CPU Time ---------
% 0.39/0.58 # User time : 0.221 s
% 0.39/0.58 # System time : 0.014 s
% 0.39/0.58 # Total time : 0.235 s
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