TSTP Solution File: LCL656+1.015 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL656+1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 : Sun Jul 17 09:29:52 EDT 2022

% Result   : Theorem 21.57s 4.18s
% Output   : CNFRefutation 21.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   22
% Syntax   : Number of clauses     :   94 (  30 unt;  22 nHn;  92 RR)
%            Number of literals    :  440 (   0 equ; 332 neg)
%            Maximal clause size   :   16 (   4 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  280 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(esk1_0,X15) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_4) ).

cnf(i_0_1,plain,
    r1(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_1) ).

cnf(i_0_61,plain,
    ( p101(X1)
    | r1(X1,esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_61) ).

cnf(i_0_2,negated_conjecture,
    p100(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ~ p101(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_3) ).

cnf(i_0_58,plain,
    ( p101(X1)
    | p101(esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_58) ).

cnf(i_0_59,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk30_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_59) ).

cnf(i_0_69,plain,
    ( p102(X1)
    | r1(X1,esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_69) ).

cnf(i_0_5,negated_conjecture,
    ( p7(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(esk1_0,X15) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_5) ).

cnf(i_0_66,plain,
    ( p102(X1)
    | p102(esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_66) ).

cnf(i_0_67,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk28_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_67) ).

cnf(i_0_77,plain,
    ( p103(X1)
    | r1(X1,esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_77) ).

cnf(i_0_74,plain,
    ( p103(X1)
    | p103(esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_74) ).

cnf(i_0_75,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk26_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_75) ).

cnf(i_0_85,plain,
    ( p104(X1)
    | r1(X1,esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_85) ).

cnf(i_0_82,plain,
    ( p104(X1)
    | p104(esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_82) ).

cnf(i_0_83,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p105(esk24_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_83) ).

cnf(i_0_93,plain,
    ( p105(X1)
    | r1(X1,esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_93) ).

cnf(i_0_90,plain,
    ( p105(X1)
    | p105(esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_90) ).

cnf(i_0_91,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ p106(esk22_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_91) ).

cnf(i_0_101,plain,
    ( p106(X1)
    | r1(X1,esk20_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_101) ).

cnf(i_0_100,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ p7(esk20_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-urnluqyk/input.p',i_0_100) ).

cnf(c_0_124,negated_conjecture,
    ( epred1_1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(esk1_0,X15) ),
    i_0_4 ).

cnf(c_0_125,plain,
    r1(X1,X1),
    i_0_1 ).

cnf(c_0_126,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X1) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_127,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_125]) ).

cnf(c_0_128,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_125]) ).

cnf(c_0_129,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_125]) ).

cnf(c_0_130,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(spm,[status(thm)],[c_0_129,c_0_125]) ).

cnf(c_0_131,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_125]) ).

cnf(c_0_132,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(spm,[status(thm)],[c_0_131,c_0_125]) ).

cnf(c_0_133,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_125]) ).

cnf(c_0_134,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_125]) ).

cnf(c_0_135,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_125]) ).

cnf(c_0_136,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_125]) ).

cnf(c_0_137,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_125]) ).

cnf(c_0_138,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_125]) ).

cnf(c_0_139,plain,
    ( epred1_1(X1)
    | ~ r1(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_125]) ).

cnf(c_0_140,plain,
    ( p101(X1)
    | r1(X1,esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_61 ).

cnf(c_0_141,plain,
    epred1_1(esk1_0),
    inference(spm,[status(thm)],[c_0_139,c_0_125]) ).

cnf(c_0_142,negated_conjecture,
    p100(esk1_0),
    i_0_2 ).

cnf(c_0_143,negated_conjecture,
    ~ p101(esk1_0),
    i_0_3 ).

cnf(c_0_144,plain,
    r1(esk1_0,esk30_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]),c_0_143]) ).

cnf(c_0_145,plain,
    ( p101(X1)
    | p101(esk30_1(X1))
    | ~ p100(X1)
    | ~ epred1_1(X1) ),
    i_0_58 ).

cnf(c_0_146,plain,
    ( p101(X1)
    | ~ p100(X1)
    | ~ epred1_1(X1)
    | ~ p102(esk30_1(X1)) ),
    i_0_59 ).

cnf(c_0_147,plain,
    ( p102(X1)
    | r1(X1,esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_69 ).

cnf(c_0_148,plain,
    epred1_1(esk30_1(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_144]),c_0_125])]) ).

cnf(c_0_149,plain,
    p101(esk30_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_141]),c_0_142])]),c_0_143]) ).

cnf(c_0_150,plain,
    ~ p102(esk30_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_141]),c_0_142])]),c_0_143]) ).

cnf(c_0_151,negated_conjecture,
    ( p7(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(X6,X5)
    | ~ r1(X7,X6)
    | ~ r1(X8,X7)
    | ~ r1(X9,X8)
    | ~ r1(X10,X9)
    | ~ r1(X11,X10)
    | ~ r1(X12,X11)
    | ~ r1(X13,X12)
    | ~ r1(X14,X13)
    | ~ r1(X15,X14)
    | ~ r1(esk1_0,X15) ),
    i_0_5 ).

cnf(c_0_152,plain,
    r1(esk30_1(esk1_0),esk28_1(esk30_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]),c_0_150]) ).

cnf(c_0_153,plain,
    ( p102(X1)
    | p102(esk28_1(X1))
    | ~ p101(X1)
    | ~ epred1_1(X1) ),
    i_0_66 ).

cnf(c_0_154,plain,
    ( p102(X1)
    | ~ p101(X1)
    | ~ epred1_1(X1)
    | ~ p103(esk28_1(X1)) ),
    i_0_67 ).

cnf(c_0_155,plain,
    ( p7(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X14)
    | ~ r1(X14,X1) ),
    inference(spm,[status(thm)],[c_0_151,c_0_125]) ).

cnf(c_0_156,plain,
    ( p103(X1)
    | r1(X1,esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_77 ).

cnf(c_0_157,plain,
    epred1_1(esk28_1(esk30_1(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_152]),c_0_144])]) ).

cnf(c_0_158,plain,
    p102(esk28_1(esk30_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_148]),c_0_149])]),c_0_150]) ).

cnf(c_0_159,plain,
    ~ p103(esk28_1(esk30_1(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_148]),c_0_149])]),c_0_150]) ).

cnf(c_0_160,plain,
    ( p7(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X13)
    | ~ r1(X13,X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_125]) ).

cnf(c_0_161,plain,
    ( epred1_1(X1)
    | ~ r1(esk30_1(esk1_0),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_144]),c_0_125])]) ).

cnf(c_0_162,plain,
    r1(esk28_1(esk30_1(esk1_0)),esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158])]),c_0_159]) ).

cnf(c_0_163,plain,
    ( p103(X1)
    | p103(esk26_1(X1))
    | ~ p102(X1)
    | ~ epred1_1(X1) ),
    i_0_74 ).

cnf(c_0_164,plain,
    ( p103(X1)
    | ~ p102(X1)
    | ~ epred1_1(X1)
    | ~ p104(esk26_1(X1)) ),
    i_0_75 ).

cnf(c_0_165,plain,
    ( p7(X1)
    | ~ r1(esk1_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X11)
    | ~ r1(X11,X12)
    | ~ r1(X12,X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_125]) ).

cnf(c_0_166,plain,
    ( p104(X1)
    | r1(X1,esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    i_0_85 ).

cnf(c_0_167,plain,
    epred1_1(esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_152])]) ).

cnf(c_0_168,plain,
    p103(esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_157]),c_0_158])]),c_0_159]) ).

cnf(c_0_169,plain,
    ~ p104(esk26_1(esk28_1(esk30_1(esk1_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_157]),c_0_158])]),c_0_159]) ).

cnf(c_0_170,plain,
    ( p7(X1)
    | ~ r1(esk30_1(esk1_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X9)
    | ~ r1(X9,X10)
    | ~ r1(X10,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_144]),c_0_125])]) ).

cnf(c_0_171,plain,
    ( epred1_1(X1)
    | ~ r1(esk28_1(esk30_1(esk1_0)),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_152]),c_0_144])]) ).

cnf(c_0_172,plain,
    r1(esk26_1(esk28_1(esk30_1(esk1_0))),esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168])]),c_0_169]) ).

cnf(c_0_173,plain,
    ( p104(X1)
    | p104(esk24_1(X1))
    | ~ p103(X1)
    | ~ epred1_1(X1) ),
    i_0_82 ).

cnf(c_0_174,plain,
    ( p104(X1)
    | ~ p103(X1)
    | ~ epred1_1(X1)
    | ~ p105(esk24_1(X1)) ),
    i_0_83 ).

cnf(c_0_175,plain,
    ( p7(X1)
    | ~ r1(esk28_1(esk30_1(esk1_0)),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X7)
    | ~ r1(X7,X8)
    | ~ r1(X8,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_152]),c_0_125])]) ).

cnf(c_0_176,plain,
    ( epred1_1(X1)
    | ~ r1(esk30_1(esk1_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_144]),c_0_125])]) ).

cnf(c_0_177,plain,
    ( p105(X1)
    | r1(X1,esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    i_0_93 ).

cnf(c_0_178,plain,
    epred1_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_162])]) ).

cnf(c_0_179,plain,
    p104(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_167]),c_0_168])]),c_0_169]) ).

cnf(c_0_180,plain,
    ~ p105(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_167]),c_0_168])]),c_0_169]) ).

cnf(c_0_181,plain,
    ( p7(X1)
    | ~ r1(esk26_1(esk28_1(esk30_1(esk1_0))),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X6)
    | ~ r1(X6,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_162]),c_0_125])]) ).

cnf(c_0_182,plain,
    ( epred1_1(X1)
    | ~ r1(esk26_1(esk28_1(esk30_1(esk1_0))),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_162]),c_0_152])]) ).

cnf(c_0_183,plain,
    r1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))),esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179])]),c_0_180]) ).

cnf(c_0_184,plain,
    ( p105(X1)
    | p105(esk22_1(X1))
    | ~ p104(X1)
    | ~ epred1_1(X1) ),
    i_0_90 ).

cnf(c_0_185,plain,
    ( p105(X1)
    | ~ p104(X1)
    | ~ epred1_1(X1)
    | ~ p106(esk22_1(X1)) ),
    i_0_91 ).

cnf(c_0_186,plain,
    ( p7(X1)
    | ~ r1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_172]),c_0_125])]) ).

cnf(c_0_187,plain,
    ( p106(X1)
    | r1(X1,esk20_1(X1))
    | ~ p105(X1)
    | ~ epred1_1(X1) ),
    i_0_101 ).

cnf(c_0_188,plain,
    epred1_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_172])]) ).

cnf(c_0_189,plain,
    p105(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_178]),c_0_179])]),c_0_180]) ).

cnf(c_0_190,plain,
    ~ p106(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0)))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_178]),c_0_179])]),c_0_180]) ).

cnf(c_0_191,plain,
    ( p106(X1)
    | ~ p105(X1)
    | ~ epred1_1(X1)
    | ~ p7(esk20_1(X1)) ),
    i_0_100 ).

cnf(c_0_192,plain,
    ( p7(X1)
    | ~ r1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),X2)
    | ~ r1(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_183]),c_0_125])]) ).

cnf(c_0_193,plain,
    r1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))),esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189])]),c_0_190]) ).

cnf(c_0_194,plain,
    ~ p7(esk20_1(esk22_1(esk24_1(esk26_1(esk28_1(esk30_1(esk1_0))))))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_188]),c_0_189])]),c_0_190]) ).

cnf(c_0_195,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_125])]),c_0_194]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL656+1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul  4 19:52:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 21.57/4.18  # ENIGMATIC: Solved by autoschedule:
% 21.57/4.18  # No SInE strategy applied
% 21.57/4.18  # Trying AutoSched0 for 150 seconds
% 21.57/4.18  # AutoSched0-Mode selected heuristic G_E___107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 21.57/4.18  # and selection function SelectCQArEqLast.
% 21.57/4.18  #
% 21.57/4.18  # Preprocessing time       : 0.016 s
% 21.57/4.18  # Presaturation interreduction done
% 21.57/4.18  
% 21.57/4.18  # Proof found!
% 21.57/4.18  # SZS status Theorem
% 21.57/4.18  # SZS output start CNFRefutation
% See solution above
% 21.57/4.18  # Training examples: 0 positive, 0 negative
% 21.57/4.18  
% 21.57/4.18  # -------------------------------------------------
% 21.57/4.18  # User time                : 1.677 s
% 21.57/4.18  # System time              : 0.037 s
% 21.57/4.18  # Total time               : 1.714 s
% 21.57/4.18  # Maximum resident set size: 7120 pages
% 21.57/4.18  
%------------------------------------------------------------------------------