TSTP Solution File: NUN065+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUN065+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 16:24:54 EDT 2022

% Result   : Theorem 151.59s 20.41s
% Output   : CNFRefutation 151.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   24
% Syntax   : Number of clauses     :  122 (  27 unt;  38 nHn;  84 RR)
%            Number of literals    :  263 (   0 equ; 110 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   1 con; 0-1 aty)
%            Number of variables   :  179 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
    ( ~ r1(X1)
    | ~ id(X1,X2)
    | ~ r2(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_49) ).

cnf(i_0_61,negated_conjecture,
    ( r1(esk23_1(X1))
    | r2(esk22_1(X1),esk21_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_61) ).

cnf(i_0_43,plain,
    id(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_43) ).

cnf(i_0_62,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | r2(esk22_1(X1),esk21_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_62) ).

cnf(i_0_14,plain,
    ( r1(X1)
    | ~ id(X1,esk5_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_14) ).

cnf(i_0_48,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_48) ).

cnf(i_0_59,negated_conjecture,
    ( r1(esk23_1(X1))
    | id(X1,esk21_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_59) ).

cnf(i_0_23,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk10_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_23) ).

cnf(i_0_60,negated_conjecture,
    ( id(X1,esk21_1(X1))
    | id(X1,esk23_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_60) ).

cnf(i_0_27,plain,
    ( id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4)
    | ~ r2(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_27) ).

cnf(i_0_56,plain,
    ( r2(X1,X2)
    | ~ id(X2,X3)
    | ~ id(X1,X4)
    | ~ r2(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_56) ).

cnf(i_0_17,plain,
    ( id(X1,esk5_0)
    | ~ r1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_17) ).

cnf(i_0_50,plain,
    ( id(X1,X2)
    | ~ id(X3,X2)
    | ~ id(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_50) ).

cnf(i_0_45,plain,
    ( r1(esk18_1(X1))
    | id(X1,esk20_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_45) ).

cnf(i_0_26,plain,
    ( id(X1,esk10_1(X2))
    | ~ r2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_26) ).

cnf(i_0_44,plain,
    ( r1(esk18_1(X1))
    | r2(esk19_1(X1),esk20_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_44) ).

cnf(i_0_57,plain,
    ( r2(X1,X2)
    | ~ id(X3,X2)
    | ~ id(X4,X1)
    | ~ r2(X4,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_57) ).

cnf(i_0_64,negated_conjecture,
    ( r1(esk22_1(X1))
    | id(X1,esk23_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_64) ).

cnf(i_0_34,plain,
    id(esk12_1(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_34) ).

cnf(i_0_53,plain,
    ( r1(X1)
    | ~ r1(X2)
    | ~ id(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_53) ).

cnf(i_0_52,plain,
    ( r1(X1)
    | ~ r1(X2)
    | ~ id(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_52) ).

cnf(i_0_40,plain,
    id(esk15_1(X1),esk17_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_40) ).

cnf(i_0_39,plain,
    r1(esk17_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_39) ).

cnf(i_0_63,negated_conjecture,
    ( r1(esk22_1(X1))
    | r1(esk23_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xxgdyfto/input.p',i_0_63) ).

cnf(c_0_89,plain,
    ( ~ r1(X1)
    | ~ id(X1,X2)
    | ~ r2(X3,X2) ),
    i_0_49 ).

cnf(c_0_90,negated_conjecture,
    ( r1(esk23_1(X1))
    | r2(esk22_1(X1),esk21_1(X1)) ),
    i_0_61 ).

cnf(c_0_91,plain,
    ( r1(esk23_1(X1))
    | ~ id(X2,esk21_1(X1))
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_92,plain,
    id(X1,X1),
    i_0_43 ).

cnf(c_0_93,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | r2(esk22_1(X1),esk21_1(X1)) ),
    i_0_62 ).

cnf(c_0_94,plain,
    ( r1(esk23_1(X1))
    | ~ r1(esk21_1(X1)) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_95,plain,
    ( r1(X1)
    | ~ id(X1,esk5_0) ),
    i_0_14 ).

cnf(c_0_96,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    i_0_48 ).

cnf(c_0_97,negated_conjecture,
    ( r1(esk23_1(X1))
    | id(X1,esk21_1(X1)) ),
    i_0_59 ).

cnf(c_0_98,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk10_1(X1)) ),
    i_0_23 ).

cnf(c_0_99,plain,
    ( id(X1,esk23_1(X1))
    | ~ id(X2,esk21_1(X1))
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_93]) ).

cnf(c_0_100,negated_conjecture,
    ( id(X1,esk21_1(X1))
    | id(X1,esk23_1(X1)) ),
    i_0_60 ).

cnf(c_0_101,plain,
    ( r1(esk23_1(X1))
    | ~ id(esk21_1(X1),esk5_0) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_102,negated_conjecture,
    ( id(esk21_1(X1),X1)
    | r1(esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_103,plain,
    ( id(X1,X2)
    | ~ id(X3,X4)
    | ~ r2(X2,X4)
    | ~ r2(X1,X3) ),
    i_0_27 ).

cnf(c_0_104,plain,
    r2(X1,esk10_1(X1)),
    inference(spm,[status(thm)],[c_0_98,c_0_92]) ).

cnf(c_0_105,plain,
    ( r2(X1,X2)
    | ~ id(X2,X3)
    | ~ id(X1,X4)
    | ~ r2(X4,X3) ),
    i_0_56 ).

cnf(c_0_106,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_107,plain,
    ( id(X1,esk5_0)
    | ~ r1(X1) ),
    i_0_17 ).

cnf(c_0_108,negated_conjecture,
    ( r1(esk23_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_97]) ).

cnf(c_0_109,plain,
    ( id(X1,X2)
    | ~ id(X3,X2)
    | ~ id(X1,X3) ),
    i_0_50 ).

cnf(c_0_110,plain,
    ( r1(esk18_1(X1))
    | id(X1,esk20_1(X1)) ),
    i_0_45 ).

cnf(c_0_111,negated_conjecture,
    r1(esk23_1(esk5_0)),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_112,plain,
    ( id(X1,X2)
    | ~ r2(X1,X3)
    | ~ id(X3,esk10_1(X2)) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_113,plain,
    ( id(X1,esk10_1(X2))
    | ~ r2(X2,X1) ),
    i_0_26 ).

cnf(c_0_114,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk10_1(X3))
    | ~ id(X1,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_104]) ).

cnf(c_0_115,plain,
    ( id(esk23_1(X1),X1)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_106]) ).

cnf(c_0_116,plain,
    ( id(esk23_1(X1),esk5_0)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_117,plain,
    ( r1(esk18_1(X1))
    | r2(esk19_1(X1),esk20_1(X1)) ),
    i_0_44 ).

cnf(c_0_118,plain,
    ( id(X1,esk20_1(X2))
    | r1(esk18_1(X2))
    | ~ id(X1,X2) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_119,plain,
    id(esk23_1(esk5_0),esk5_0),
    inference(spm,[status(thm)],[c_0_107,c_0_111]) ).

cnf(c_0_120,plain,
    ( id(X1,X2)
    | ~ r2(X1,X3)
    | ~ r2(X2,X3) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_121,plain,
    ( r2(X1,esk10_1(X2))
    | ~ id(X1,X2) ),
    inference(spm,[status(thm)],[c_0_114,c_0_92]) ).

cnf(c_0_122,plain,
    ( r2(X1,X2)
    | ~ id(X3,X2)
    | ~ id(X4,X1)
    | ~ r2(X4,X3) ),
    i_0_57 ).

cnf(c_0_123,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | id(esk21_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_100]) ).

cnf(c_0_124,plain,
    ( id(X1,X2)
    | ~ id(X1,esk23_1(X2))
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_109,c_0_115]) ).

cnf(c_0_125,plain,
    ( id(esk5_0,esk23_1(X1))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_116]) ).

cnf(c_0_126,plain,
    ( r1(esk18_1(X1))
    | ~ id(X2,esk20_1(X1))
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_117]) ).

cnf(c_0_127,plain,
    ( id(esk23_1(esk5_0),esk20_1(esk5_0))
    | r1(esk18_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_128,plain,
    ( id(X1,X2)
    | ~ r2(X2,esk10_1(X3))
    | ~ id(X1,X3) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_129,negated_conjecture,
    ( r1(esk22_1(X1))
    | id(X1,esk23_1(X1)) ),
    i_0_64 ).

cnf(c_0_130,plain,
    ( r2(X1,X2)
    | ~ id(esk10_1(X3),X2)
    | ~ id(X3,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_104]) ).

cnf(c_0_131,plain,
    ( r2(X1,esk21_1(esk10_1(X1)))
    | id(esk10_1(X1),esk23_1(esk10_1(X1))) ),
    inference(spm,[status(thm)],[c_0_98,c_0_123]) ).

cnf(c_0_132,plain,
    ( id(esk5_0,X1)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_133,plain,
    r1(esk18_1(esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_111])]) ).

cnf(c_0_134,plain,
    ( id(X1,X2)
    | ~ id(X1,X3)
    | ~ id(X2,X3) ),
    inference(spm,[status(thm)],[c_0_128,c_0_121]) ).

cnf(c_0_135,negated_conjecture,
    ( r2(X1,X2)
    | id(X3,esk23_1(X3))
    | ~ id(X2,esk21_1(X3))
    | ~ id(X1,esk22_1(X3)) ),
    inference(spm,[status(thm)],[c_0_105,c_0_93]) ).

cnf(c_0_136,negated_conjecture,
    ( id(esk22_1(X1),esk5_0)
    | id(X1,esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_107,c_0_129]) ).

cnf(c_0_137,plain,
    ( ~ id(X1,esk10_1(X2))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_104]) ).

cnf(c_0_138,plain,
    ( r2(X1,esk21_1(esk10_1(X1)))
    | r2(X2,esk23_1(esk10_1(X1)))
    | ~ id(X1,X2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_139,plain,
    id(esk5_0,esk18_1(esk5_0)),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_140,negated_conjecture,
    ( r2(X1,X2)
    | r1(esk23_1(X3))
    | ~ id(X2,esk21_1(X3))
    | ~ id(X1,esk22_1(X3)) ),
    inference(spm,[status(thm)],[c_0_105,c_0_90]) ).

cnf(c_0_141,plain,
    id(esk12_1(X1),X1),
    i_0_34 ).

cnf(c_0_142,plain,
    ( id(X1,esk23_1(X2))
    | ~ id(X1,X2)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_109,c_0_106]) ).

cnf(c_0_143,plain,
    id(esk18_1(esk5_0),esk5_0),
    inference(spm,[status(thm)],[c_0_107,c_0_133]) ).

cnf(c_0_144,plain,
    ( r1(X1)
    | ~ r1(X2)
    | ~ id(X2,X1) ),
    i_0_53 ).

cnf(c_0_145,plain,
    ( r1(X1)
    | ~ r1(X2)
    | ~ id(X1,X2) ),
    i_0_52 ).

cnf(c_0_146,plain,
    id(esk15_1(X1),esk17_1(X1)),
    i_0_40 ).

cnf(c_0_147,plain,
    r1(esk17_1(X1)),
    i_0_39 ).

cnf(c_0_148,negated_conjecture,
    ( id(X1,esk23_1(X1))
    | id(X1,X2)
    | ~ id(X2,esk21_1(X1)) ),
    inference(spm,[status(thm)],[c_0_134,c_0_100]) ).

cnf(c_0_149,plain,
    ( id(esk10_1(X1),X2)
    | ~ r2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_113]) ).

cnf(c_0_150,plain,
    ( r2(X1,esk21_1(X2))
    | id(X2,esk23_1(X2))
    | ~ id(X1,esk22_1(X2)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_92]) ).

cnf(c_0_151,plain,
    ( id(esk5_0,esk22_1(X1))
    | id(X1,esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_136]) ).

cnf(c_0_152,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X2) ),
    inference(spm,[status(thm)],[c_0_137,c_0_113]) ).

cnf(c_0_153,plain,
    ( r2(esk18_1(esk5_0),esk23_1(esk10_1(esk5_0)))
    | r2(esk5_0,esk21_1(esk10_1(esk5_0))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_154,plain,
    ( r2(X1,esk21_1(esk10_1(X1)))
    | r1(esk23_1(esk10_1(X1))) ),
    inference(spm,[status(thm)],[c_0_98,c_0_102]) ).

cnf(c_0_155,negated_conjecture,
    ( r2(X1,X2)
    | r1(esk23_1(X2))
    | ~ id(X1,esk22_1(X2)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_97]) ).

cnf(c_0_156,plain,
    ( id(X1,X2)
    | ~ id(X1,esk12_1(X2)) ),
    inference(spm,[status(thm)],[c_0_109,c_0_141]) ).

cnf(c_0_157,plain,
    ( id(esk23_1(X1),X2)
    | ~ id(X2,X1)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_142]) ).

cnf(c_0_158,plain,
    ( id(X1,esk5_0)
    | ~ id(X1,esk18_1(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_109,c_0_143]) ).

cnf(c_0_159,plain,
    ( r1(esk5_0)
    | ~ r1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_116]),c_0_108]) ).

cnf(c_0_160,plain,
    r1(esk15_1(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]) ).

cnf(c_0_161,plain,
    ( id(X1,esk10_1(X2))
    | id(X1,esk23_1(X1))
    | ~ r2(X2,esk21_1(X1)) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_162,plain,
    ( r2(esk5_0,esk21_1(X1))
    | id(X1,esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_163,plain,
    r2(esk5_0,esk21_1(esk10_1(esk5_0))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).

cnf(c_0_164,plain,
    ( id(X1,X2)
    | ~ r2(X1,esk10_1(X2)) ),
    inference(spm,[status(thm)],[c_0_112,c_0_92]) ).

cnf(c_0_165,plain,
    ( r2(esk22_1(X1),X1)
    | r1(esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_155,c_0_92]) ).

cnf(c_0_166,negated_conjecture,
    ( id(esk23_1(X1),X1)
    | r1(esk22_1(X1)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_129]) ).

cnf(c_0_167,negated_conjecture,
    ( r1(esk22_1(X1))
    | r1(esk23_1(X1)) ),
    i_0_63 ).

cnf(c_0_168,plain,
    ( id(esk23_1(X1),X2)
    | ~ id(esk12_1(X2),X1)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_169,plain,
    id(esk12_1(esk18_1(esk5_0)),esk5_0),
    inference(spm,[status(thm)],[c_0_158,c_0_141]) ).

cnf(c_0_170,plain,
    r1(esk5_0),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_171,plain,
    ( id(X1,esk10_1(esk5_0))
    | id(X1,esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_172,plain,
    ( ~ id(X1,esk21_1(esk10_1(esk5_0)))
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_163]) ).

cnf(c_0_173,plain,
    ( id(esk22_1(esk10_1(X1)),X1)
    | r1(esk23_1(esk10_1(X1))) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_174,plain,
    r1(esk22_1(esk10_1(X1))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_166]),c_0_167]) ).

cnf(c_0_175,plain,
    id(esk23_1(esk5_0),esk18_1(esk5_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170])]) ).

cnf(c_0_176,plain,
    ( id(X1,esk10_1(esk5_0))
    | r1(X1)
    | ~ r1(esk23_1(X1)) ),
    inference(spm,[status(thm)],[c_0_145,c_0_171]) ).

cnf(c_0_177,plain,
    r1(esk23_1(esk10_1(esk21_1(esk10_1(esk5_0))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).

cnf(c_0_178,plain,
    ~ r1(esk10_1(X1)),
    inference(spm,[status(thm)],[c_0_137,c_0_92]) ).

cnf(c_0_179,plain,
    ( id(X1,X2)
    | ~ id(X1,esk23_1(X3))
    | ~ id(X2,X3)
    | ~ r1(X3) ),
    inference(spm,[status(thm)],[c_0_109,c_0_157]) ).

cnf(c_0_180,plain,
    id(esk18_1(esk5_0),esk23_1(esk5_0)),
    inference(spm,[status(thm)],[c_0_96,c_0_175]) ).

cnf(c_0_181,plain,
    id(esk10_1(esk21_1(esk10_1(esk5_0))),esk10_1(esk5_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).

cnf(c_0_182,plain,
    ( id(esk18_1(esk5_0),X1)
    | ~ id(X1,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_170])]) ).

cnf(c_0_183,plain,
    ( id(X1,X2)
    | ~ r2(X2,esk10_1(X1)) ),
    inference(spm,[status(thm)],[c_0_120,c_0_104]) ).

cnf(c_0_184,plain,
    r2(esk5_0,esk10_1(esk21_1(esk10_1(esk5_0)))),
    inference(spm,[status(thm)],[c_0_98,c_0_181]) ).

cnf(c_0_185,plain,
    ~ id(esk21_1(esk10_1(esk5_0)),esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_182]),c_0_133])]) ).

cnf(c_0_186,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN065+1 : TPTP v8.1.0. Released v7.3.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  2 10:22:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 151.59/20.41  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 151.59/20.41  # Version: 2.1pre011
% 151.59/20.41  # Preprocessing time       : 0.017 s
% 151.59/20.41  
% 151.59/20.41  # Proof found!
% 151.59/20.41  # SZS status Theorem
% 151.59/20.41  # SZS output start CNFRefutation
% See solution above
% 151.59/20.41  # Proof object total steps             : 122
% 151.59/20.41  # Proof object clause steps            : 98
% 151.59/20.41  # Proof object formula steps           : 24
% 151.59/20.41  # Proof object conjectures             : 23
% 151.59/20.41  # Proof object clause conjectures      : 17
% 151.59/20.41  # Proof object formula conjectures     : 6
% 151.59/20.41  # Proof object initial clauses used    : 24
% 151.59/20.41  # Proof object initial formulas used   : 24
% 151.59/20.41  # Proof object generating inferences   : 74
% 151.59/20.41  # Proof object simplifying inferences  : 17
% 151.59/20.41  # Training examples: 0 positive, 0 negative
% 151.59/20.41  # Parsed axioms                        : 48
% 151.59/20.41  # Removed by relevancy pruning/SinE    : 0
% 151.59/20.41  # Initial clauses                      : 48
% 151.59/20.41  # Removed in clause preprocessing      : 0
% 151.59/20.41  # Initial clauses in saturation        : 48
% 151.59/20.41  # Processed clauses                    : 18651
% 151.59/20.41  # ...of these trivial                  : 1863
% 151.59/20.41  # ...subsumed                          : 10734
% 151.59/20.41  # ...remaining for further processing  : 6054
% 151.59/20.41  # Other redundant clauses eliminated   : 0
% 151.59/20.41  # Clauses deleted for lack of memory   : 0
% 151.59/20.41  # Backward-subsumed                    : 295
% 151.59/20.41  # Backward-rewritten                   : 74
% 151.59/20.41  # Generated clauses                    : 1163894
% 151.59/20.41  # ...of the previous two non-trivial   : 1038941
% 151.59/20.41  # Contextual simplify-reflections      : 2409
% 151.59/20.41  # Paramodulations                      : 1163794
% 151.59/20.41  # Factorizations                       : 100
% 151.59/20.41  # Equation resolutions                 : 0
% 151.59/20.41  # Propositional unsat checks           : 1
% 151.59/20.41  # Propositional unsat check successes  : 0
% 151.59/20.41  # Current number of processed clauses  : 5685
% 151.59/20.41  #    Positive orientable unit clauses  : 1788
% 151.59/20.41  #    Positive unorientable unit clauses: 0
% 151.59/20.41  #    Negative unit clauses             : 137
% 151.59/20.41  #    Non-unit-clauses                  : 3760
% 151.59/20.41  # Current number of unprocessed clauses: 933282
% 151.59/20.41  # ...number of literals in the above   : 3263517
% 151.59/20.41  # Current number of archived formulas  : 0
% 151.59/20.41  # Current number of archived clauses   : 369
% 151.59/20.41  # Clause-clause subsumption calls (NU) : 2706963
% 151.59/20.41  # Rec. Clause-clause subsumption calls : 1635235
% 151.59/20.41  # Non-unit clause-clause subsumptions  : 10095
% 151.59/20.41  # Unit Clause-clause subsumption calls : 96076
% 151.59/20.41  # Rewrite failures with RHS unbound    : 0
% 151.59/20.41  # BW rewrite match attempts            : 35343
% 151.59/20.41  # BW rewrite match successes           : 119
% 151.59/20.41  # Condensation attempts                : 0
% 151.59/20.41  # Condensation successes               : 0
% 151.59/20.41  # Termbank termtop insertions          : 29050462
% 151.59/20.41  
% 151.59/20.41  # -------------------------------------------------
% 151.59/20.41  # User time                : 17.358 s
% 151.59/20.41  # System time              : 0.604 s
% 151.59/20.41  # Total time               : 17.962 s
% 151.59/20.41  # ...preprocessing         : 0.017 s
% 151.59/20.41  # ...main loop             : 17.945 s
% 151.59/20.41  # Maximum resident set size: 859872 pages
% 151.59/20.41  
%------------------------------------------------------------------------------