TSTP Solution File: NUN087+2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUN087+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 16:37:28 EDT 2022

% Result   : Theorem 12.74s 12.96s
% Output   : Refutation 12.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % 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 06:35:04 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 12.74/12.96  # Version:  1.3
% 12.74/12.96  # SZS status Theorem
% 12.74/12.96  # SZS output start CNFRefutation
% 12.74/12.96  cnf(reflexivity,axiom,X48=X48,eq_axiom).
% 12.74/12.96  fof(axiom_1,axiom,(?[Y24]:(![X19]:(((~r1(X19))&X19!=Y24)|(r1(X19)&X19=Y24)))),input).
% 12.74/12.96  fof(c73,axiom,(?[Y24]:(![X19]:((~r1(X19)&X19!=Y24)|(r1(X19)&X19=Y24)))),inference(fof_simplification,status(thm),[axiom_1])).
% 12.74/12.96  fof(c74,axiom,(?[X46]:(![X47]:((~r1(X47)&X47!=X46)|(r1(X47)&X47=X46)))),inference(variable_rename,status(thm),[c73])).
% 12.74/12.96  fof(c75,axiom,(![X47]:((~r1(X47)&X47!=skolem0020)|(r1(X47)&X47=skolem0020))),inference(skolemize,status(esa),[c74])).
% 12.74/12.96  fof(c76,axiom,(![X47]:(((~r1(X47)|r1(X47))&(~r1(X47)|X47=skolem0020))&((X47!=skolem0020|r1(X47))&(X47!=skolem0020|X47=skolem0020)))),inference(distribute,status(thm),[c75])).
% 12.74/12.96  cnf(c79,axiom,X96!=skolem0020|r1(X96),inference(split_conjunct,status(thm),[c76])).
% 12.74/12.96  cnf(c121,plain,r1(skolem0020),inference(resolution,status(thm),[c79, reflexivity])).
% 12.74/12.96  fof(zerotimeszeroeqzero,conjecture,(?[Y1]:((?[Y2]:(r1(Y2)&r4(Y2,Y2,Y1)))&(?[Y3]:(r1(Y3)&Y1=Y3)))),input).
% 12.74/12.96  fof(c4,negated_conjecture,(~(?[Y1]:((?[Y2]:(r1(Y2)&r4(Y2,Y2,Y1)))&(?[Y3]:(r1(Y3)&Y1=Y3))))),inference(assume_negation,status(cth),[zerotimeszeroeqzero])).
% 12.74/12.96  fof(c5,negated_conjecture,(![Y1]:((![Y2]:(~r1(Y2)|~r4(Y2,Y2,Y1)))|(![Y3]:(~r1(Y3)|Y1!=Y3)))),inference(fof_nnf,status(thm),[c4])).
% 12.74/12.96  fof(c7,negated_conjecture,(![X2]:(![X3]:(![X4]:((~r1(X3)|~r4(X3,X3,X2))|(~r1(X4)|X2!=X4))))),inference(shift_quantors,status(thm),[fof(c6,negated_conjecture,(![X2]:((![X3]:(~r1(X3)|~r4(X3,X3,X2)))|(![X4]:(~r1(X4)|X2!=X4)))),inference(variable_rename,status(thm),[c5])).])).
% 12.74/12.96  cnf(c8,negated_conjecture,~r1(X110)|~r4(X110,X110,X111)|~r1(X109)|X111!=X109,inference(split_conjunct,status(thm),[c7])).
% 12.74/12.96  fof(axiom_4,axiom,(![X16]:(![X17]:(?[Y23]:(![X18]:(((~r4(X16,X17,X18))&X18!=Y23)|(r4(X16,X17,X18)&X18=Y23)))))),input).
% 12.74/12.96  fof(c49,axiom,(![X16]:(![X17]:(?[Y23]:(![X18]:((~r4(X16,X17,X18)&X18!=Y23)|(r4(X16,X17,X18)&X18=Y23)))))),inference(fof_simplification,status(thm),[axiom_4])).
% 12.74/12.96  fof(c50,axiom,(![X35]:(![X36]:(?[X37]:(![X38]:((~r4(X35,X36,X38)&X38!=X37)|(r4(X35,X36,X38)&X38=X37)))))),inference(variable_rename,status(thm),[c49])).
% 12.74/12.96  fof(c51,axiom,(![X35]:(![X36]:(![X38]:((~r4(X35,X36,X38)&X38!=skolem0017(X35,X36))|(r4(X35,X36,X38)&X38=skolem0017(X35,X36)))))),inference(skolemize,status(esa),[c50])).
% 12.74/12.96  fof(c52,axiom,(![X35]:(![X36]:(![X38]:(((~r4(X35,X36,X38)|r4(X35,X36,X38))&(~r4(X35,X36,X38)|X38=skolem0017(X35,X36)))&((X38!=skolem0017(X35,X36)|r4(X35,X36,X38))&(X38!=skolem0017(X35,X36)|X38=skolem0017(X35,X36))))))),inference(distribute,status(thm),[c51])).
% 12.74/12.96  cnf(c55,axiom,X209!=skolem0017(X208,X207)|r4(X208,X207,X209),inference(split_conjunct,status(thm),[c52])).
% 12.74/12.96  cnf(c253,plain,r4(X213,X214,skolem0017(X213,X214)),inference(resolution,status(thm),[c55, reflexivity])).
% 12.74/12.96  cnf(c257,plain,~r1(X1012)|~r1(X1013)|skolem0017(X1012,X1012)!=X1013,inference(resolution,status(thm),[c253, c8])).
% 12.74/12.96  cnf(symmetry,axiom,X53!=X54|X54=X53,eq_axiom).
% 12.74/12.96  cnf(c54,axiom,~r4(X198,X197,X199)|X199=skolem0017(X198,X197),inference(split_conjunct,status(thm),[c52])).
% 12.74/12.96  fof(axiom_4a,axiom,(![X4]:(?[Y9]:((?[Y16]:(r1(Y16)&r3(X4,Y16,Y9)))&Y9=X4))),input).
% 12.74/12.96  fof(c26,axiom,(![X16]:(?[X17]:((?[X18]:(r1(X18)&r3(X16,X18,X17)))&X17=X16))),inference(variable_rename,status(thm),[axiom_4a])).
% 12.74/12.96  fof(c27,axiom,(![X16]:((r1(skolem0008(X16))&r3(X16,skolem0008(X16),skolem0007(X16)))&skolem0007(X16)=X16)),inference(skolemize,status(esa),[c26])).
% 12.74/12.96  cnf(c30,axiom,skolem0007(X52)=X52,inference(split_conjunct,status(thm),[c27])).
% 12.74/12.96  fof(axiom_5a,axiom,(![X5]:(?[Y8]:((?[Y17]:(r1(Y17)&r4(X5,Y17,Y8)))&(?[Y18]:(r1(Y18)&Y8=Y18))))),input).
% 12.74/12.96  fof(c20,axiom,(![X12]:(?[X13]:((?[X14]:(r1(X14)&r4(X12,X14,X13)))&(?[X15]:(r1(X15)&X13=X15))))),inference(variable_rename,status(thm),[axiom_5a])).
% 12.74/12.96  fof(c21,axiom,(![X12]:((r1(skolem0005(X12))&r4(X12,skolem0005(X12),skolem0004(X12)))&(r1(skolem0006(X12))&skolem0004(X12)=skolem0006(X12)))),inference(skolemize,status(esa),[c20])).
% 12.74/12.96  cnf(c22,axiom,r1(skolem0005(X49)),inference(split_conjunct,status(thm),[c21])).
% 12.74/12.96  cnf(c78,axiom,~r1(X76)|X76=skolem0020,inference(split_conjunct,status(thm),[c76])).
% 12.74/12.96  cnf(c94,plain,skolem0005(X78)=skolem0020,inference(resolution,status(thm),[c78, c22])).
% 12.74/12.96  cnf(c24,axiom,r1(skolem0006(X50)),inference(split_conjunct,status(thm),[c21])).
% 12.74/12.96  cnf(c0,plain,X74!=X73|~r1(X74)|r1(X73),eq_axiom).
% 12.74/12.96  cnf(c25,axiom,skolem0004(X66)=skolem0006(X66),inference(split_conjunct,status(thm),[c21])).
% 12.74/12.96  cnf(c88,plain,skolem0006(X108)=skolem0004(X108),inference(resolution,status(thm),[c25, symmetry])).
% 12.74/12.96  cnf(c126,plain,~r1(skolem0006(X269))|r1(skolem0004(X269)),inference(resolution,status(thm),[c88, c0])).
% 12.74/12.96  cnf(c345,plain,r1(skolem0004(X270)),inference(resolution,status(thm),[c126, c24])).
% 12.74/12.96  cnf(c346,plain,skolem0004(X273)=skolem0020,inference(resolution,status(thm),[c345, c78])).
% 12.74/12.96  cnf(c3,plain,X104!=X99|X100!=X102|X101!=X103|~r4(X104,X100,X101)|r4(X99,X102,X103),eq_axiom).
% 12.74/12.96  cnf(c23,axiom,r4(X125,skolem0005(X125),skolem0004(X125)),inference(split_conjunct,status(thm),[c21])).
% 12.74/12.96  cnf(c153,plain,X442!=X443|skolem0005(X442)!=X444|skolem0004(X442)!=X445|r4(X443,X444,X445),inference(resolution,status(thm),[c23, c3])).
% 12.74/12.96  cnf(c654,plain,X2492!=X2491|skolem0005(X2492)!=X2490|r4(X2491,X2490,skolem0020),inference(resolution,status(thm),[c153, c346])).
% 12.74/12.96  cnf(c13045,plain,X3482!=X3483|r4(X3483,skolem0020,skolem0020),inference(resolution,status(thm),[c654, c94])).
% 12.74/12.96  cnf(c23681,plain,r4(X3484,skolem0020,skolem0020),inference(resolution,status(thm),[c13045, c30])).
% 12.74/12.96  cnf(c23940,plain,skolem0020=skolem0017(X3642,skolem0020),inference(resolution,status(thm),[c23681, c54])).
% 12.74/12.96  cnf(c24868,plain,skolem0017(X3645,skolem0020)=skolem0020,inference(resolution,status(thm),[c23940, symmetry])).
% 12.74/12.96  cnf(c24941,plain,~r1(skolem0020),inference(resolution,status(thm),[c24868, c257])).
% 12.74/12.96  cnf(c24958,plain,$false,inference(resolution,status(thm),[c24941, c121])).
% 12.74/12.96  # SZS output end CNFRefutation
% 12.74/12.96  
% 12.74/12.96  # Initial clauses    : 47
% 12.74/12.96  # Processed clauses  : 831
% 12.74/12.96  # Factors computed   : 0
% 12.74/12.96  # Resolvents computed: 24933
% 12.74/12.96  # Tautologies deleted: 10
% 12.74/12.96  # Forward subsumed   : 1655
% 12.74/12.96  # Backward subsumed  : 16
% 12.74/12.96  # -------- CPU Time ---------
% 12.74/12.96  # User time          : 12.555 s
% 12.74/12.96  # System time        : 0.060 s
% 12.74/12.96  # Total time         : 12.615 s
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