%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LCL656+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:47:14 AM UTC 2026
% Result : Theorem 177.56s 24.37s
% Output : CNFRefutation 177.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 25
% Syntax : Number of clauses : 115 ( 34 unt; 26 nHn; 113 RR)
% Number of literals : 650 ( 0 equ; 518 neg)
% Maximal clause size : 21 ( 5 avg)
% Maximal term depth : 8 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 457 ( 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(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(X20,X19)
| ~ r1(esk1_0,X20) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_4) ).
cnf(i_0_1,plain,
r1(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_1) ).
cnf(i_0_76,plain,
( p101(X1)
| r1(X1,esk40_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_76) ).
cnf(i_0_2,negated_conjecture,
p100(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
~ p101(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_3) ).
cnf(i_0_73,plain,
( p101(X1)
| p101(esk40_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_73) ).
cnf(i_0_74,plain,
( p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1)
| ~ p102(esk40_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_74) ).
cnf(i_0_5,negated_conjecture,
( p8(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(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(X20,X19)
| ~ r1(esk1_0,X20) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_5) ).
cnf(i_0_80,plain,
( p102(X1)
| r1(X1,esk39_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_80) ).
cnf(i_0_77,plain,
( p102(X1)
| p102(esk39_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_77) ).
cnf(i_0_78,plain,
( p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1)
| ~ p103(esk39_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_78) ).
cnf(i_0_88,plain,
( p103(X1)
| r1(X1,esk37_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_88) ).
cnf(i_0_85,plain,
( p103(X1)
| p103(esk37_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_85) ).
cnf(i_0_86,plain,
( p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1)
| ~ p104(esk37_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_86) ).
cnf(i_0_100,plain,
( p104(X1)
| r1(X1,esk34_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_100) ).
cnf(i_0_97,plain,
( p104(X1)
| p104(esk34_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_97) ).
cnf(i_0_98,plain,
( p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1)
| ~ p105(esk34_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_98) ).
cnf(i_0_108,plain,
( p105(X1)
| r1(X1,esk32_1(X1))
| ~ p104(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_108) ).
cnf(i_0_105,plain,
( p105(X1)
| p105(esk32_1(X1))
| ~ p104(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_105) ).
cnf(i_0_106,plain,
( p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1)
| ~ p106(esk32_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_106) ).
cnf(i_0_116,plain,
( p106(X1)
| r1(X1,esk30_1(X1))
| ~ p105(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_116) ).
cnf(i_0_113,plain,
( p106(X1)
| p106(esk30_1(X1))
| ~ p105(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_113) ).
cnf(i_0_114,plain,
( p106(X1)
| ~ p105(X1)
| ~ epred1_1(X1)
| ~ p107(esk30_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_114) ).
cnf(i_0_124,plain,
( p107(X1)
| r1(X1,esk28_1(X1))
| ~ p106(X1)
| ~ epred1_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_124) ).
cnf(i_0_123,plain,
( p107(X1)
| ~ p106(X1)
| ~ epred1_1(X1)
| ~ p8(esk28_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cvpfatop/input.p',i_0_123) ).
cnf(c_0_150,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(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(X20,X19)
| ~ r1(esk1_0,X20) ),
i_0_4 ).
cnf(c_0_151,plain,
r1(X1,X1),
i_0_1 ).
cnf(c_0_152,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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_153,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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_151]) ).
cnf(c_0_154,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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_151]) ).
cnf(c_0_155,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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_151]) ).
cnf(c_0_156,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,X15)
| ~ r1(X15,X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_151]) ).
cnf(c_0_157,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_156,c_0_151]) ).
cnf(c_0_158,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_157,c_0_151]) ).
cnf(c_0_159,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_158,c_0_151]) ).
cnf(c_0_160,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_159,c_0_151]) ).
cnf(c_0_161,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_160,c_0_151]) ).
cnf(c_0_162,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_161,c_0_151]) ).
cnf(c_0_163,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_162,c_0_151]) ).
cnf(c_0_164,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_163,c_0_151]) ).
cnf(c_0_165,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_164,c_0_151]) ).
cnf(c_0_166,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_165,c_0_151]) ).
cnf(c_0_167,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_151]) ).
cnf(c_0_168,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_151]) ).
cnf(c_0_169,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_151]) ).
cnf(c_0_170,plain,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_151]) ).
cnf(c_0_171,plain,
( p101(X1)
| r1(X1,esk40_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
i_0_76 ).
cnf(c_0_172,plain,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_170,c_0_151]) ).
cnf(c_0_173,negated_conjecture,
p100(esk1_0),
i_0_2 ).
cnf(c_0_174,negated_conjecture,
~ p101(esk1_0),
i_0_3 ).
cnf(c_0_175,plain,
r1(esk1_0,esk40_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173])]),c_0_174]) ).
cnf(c_0_176,plain,
( p101(X1)
| p101(esk40_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
i_0_73 ).
cnf(c_0_177,plain,
( p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1)
| ~ p102(esk40_1(X1)) ),
i_0_74 ).
cnf(c_0_178,negated_conjecture,
( p8(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(X16,X15)
| ~ r1(X17,X16)
| ~ r1(X18,X17)
| ~ r1(X19,X18)
| ~ r1(X20,X19)
| ~ r1(esk1_0,X20) ),
i_0_5 ).
cnf(c_0_179,plain,
( p102(X1)
| r1(X1,esk39_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
i_0_80 ).
cnf(c_0_180,plain,
epred1_1(esk40_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_175]),c_0_151])]) ).
cnf(c_0_181,plain,
p101(esk40_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_172]),c_0_173])]),c_0_174]) ).
cnf(c_0_182,plain,
~ p102(esk40_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_172]),c_0_173])]),c_0_174]) ).
cnf(c_0_183,plain,
( p8(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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_151]) ).
cnf(c_0_184,plain,
r1(esk40_1(esk1_0),esk39_1(esk40_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181])]),c_0_182]) ).
cnf(c_0_185,plain,
( p102(X1)
| p102(esk39_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
i_0_77 ).
cnf(c_0_186,plain,
( p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1)
| ~ p103(esk39_1(X1)) ),
i_0_78 ).
cnf(c_0_187,plain,
( p8(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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_151]) ).
cnf(c_0_188,plain,
( p103(X1)
| r1(X1,esk37_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
i_0_88 ).
cnf(c_0_189,plain,
epred1_1(esk39_1(esk40_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_184]),c_0_175])]) ).
cnf(c_0_190,plain,
p102(esk39_1(esk40_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_180]),c_0_181])]),c_0_182]) ).
cnf(c_0_191,plain,
~ p103(esk39_1(esk40_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_180]),c_0_181])]),c_0_182]) ).
cnf(c_0_192,plain,
( p8(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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_151]) ).
cnf(c_0_193,plain,
( epred1_1(X1)
| ~ r1(esk40_1(esk1_0),X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_175]),c_0_151])]) ).
cnf(c_0_194,plain,
r1(esk39_1(esk40_1(esk1_0)),esk37_1(esk39_1(esk40_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_190])]),c_0_191]) ).
cnf(c_0_195,plain,
( p103(X1)
| p103(esk37_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
i_0_85 ).
cnf(c_0_196,plain,
( p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1)
| ~ p104(esk37_1(X1)) ),
i_0_86 ).
cnf(c_0_197,plain,
( p8(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,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X1) ),
inference(spm,[status(thm)],[c_0_192,c_0_151]) ).
cnf(c_0_198,plain,
( p104(X1)
| r1(X1,esk34_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
i_0_100 ).
cnf(c_0_199,plain,
epred1_1(esk37_1(esk39_1(esk40_1(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_184])]) ).
cnf(c_0_200,plain,
p103(esk37_1(esk39_1(esk40_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_189]),c_0_190])]),c_0_191]) ).
cnf(c_0_201,plain,
~ p104(esk37_1(esk39_1(esk40_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_189]),c_0_190])]),c_0_191]) ).
cnf(c_0_202,plain,
( p8(X1)
| ~ r1(esk40_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,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| ~ r1(X14,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_175]),c_0_151])]) ).
cnf(c_0_203,plain,
( epred1_1(X1)
| ~ r1(esk39_1(esk40_1(esk1_0)),X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_184]),c_0_175])]) ).
cnf(c_0_204,plain,
r1(esk37_1(esk39_1(esk40_1(esk1_0))),esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_200])]),c_0_201]) ).
cnf(c_0_205,plain,
( p104(X1)
| p104(esk34_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
i_0_97 ).
cnf(c_0_206,plain,
( p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1)
| ~ p105(esk34_1(X1)) ),
i_0_98 ).
cnf(c_0_207,plain,
( p8(X1)
| ~ r1(esk39_1(esk40_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,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_184]),c_0_151])]) ).
cnf(c_0_208,plain,
( epred1_1(X1)
| ~ r1(esk40_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_165,c_0_175]),c_0_151])]) ).
cnf(c_0_209,plain,
( p105(X1)
| r1(X1,esk32_1(X1))
| ~ p104(X1)
| ~ epred1_1(X1) ),
i_0_108 ).
cnf(c_0_210,plain,
epred1_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_194])]) ).
cnf(c_0_211,plain,
p104(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_199]),c_0_200])]),c_0_201]) ).
cnf(c_0_212,plain,
~ p105(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_199]),c_0_200])]),c_0_201]) ).
cnf(c_0_213,plain,
( p8(X1)
| ~ r1(esk37_1(esk39_1(esk40_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_207,c_0_194]),c_0_151])]) ).
cnf(c_0_214,plain,
( epred1_1(X1)
| ~ r1(esk37_1(esk39_1(esk40_1(esk1_0))),X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_194]),c_0_184])]) ).
cnf(c_0_215,plain,
r1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))),esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211])]),c_0_212]) ).
cnf(c_0_216,plain,
( p105(X1)
| p105(esk32_1(X1))
| ~ p104(X1)
| ~ epred1_1(X1) ),
i_0_105 ).
cnf(c_0_217,plain,
( p105(X1)
| ~ p104(X1)
| ~ epred1_1(X1)
| ~ p106(esk32_1(X1)) ),
i_0_106 ).
cnf(c_0_218,plain,
( p8(X1)
| ~ r1(esk34_1(esk37_1(esk39_1(esk40_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_213,c_0_204]),c_0_151])]) ).
cnf(c_0_219,plain,
( p106(X1)
| r1(X1,esk30_1(X1))
| ~ p105(X1)
| ~ epred1_1(X1) ),
i_0_116 ).
cnf(c_0_220,plain,
epred1_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_204])]) ).
cnf(c_0_221,plain,
p105(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_210]),c_0_211])]),c_0_212]) ).
cnf(c_0_222,plain,
~ p106(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_210]),c_0_211])]),c_0_212]) ).
cnf(c_0_223,plain,
( p8(X1)
| ~ r1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_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_218,c_0_215]),c_0_151])]) ).
cnf(c_0_224,plain,
r1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))),esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]),c_0_222]) ).
cnf(c_0_225,plain,
( epred1_1(X1)
| ~ r1(esk39_1(esk40_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_165,c_0_184]),c_0_175])]) ).
cnf(c_0_226,plain,
( p8(X1)
| ~ r1(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_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_223,c_0_224]),c_0_151])]) ).
cnf(c_0_227,plain,
( epred1_1(X1)
| ~ r1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))),X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_204]),c_0_194])]) ).
cnf(c_0_228,plain,
( p106(X1)
| p106(esk30_1(X1))
| ~ p105(X1)
| ~ epred1_1(X1) ),
i_0_113 ).
cnf(c_0_229,plain,
( p106(X1)
| ~ p105(X1)
| ~ epred1_1(X1)
| ~ p107(esk30_1(X1)) ),
i_0_114 ).
cnf(c_0_230,plain,
( p8(X1)
| ~ r1(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))),X2)
| ~ r1(X2,X3)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_151]) ).
cnf(c_0_231,plain,
( p107(X1)
| r1(X1,esk28_1(X1))
| ~ p106(X1)
| ~ epred1_1(X1) ),
i_0_124 ).
cnf(c_0_232,plain,
epred1_1(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_224]),c_0_215])]) ).
cnf(c_0_233,plain,
p106(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_220]),c_0_221])]),c_0_222]) ).
cnf(c_0_234,plain,
~ p107(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0))))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_220]),c_0_221])]),c_0_222]) ).
cnf(c_0_235,plain,
( p107(X1)
| ~ p106(X1)
| ~ epred1_1(X1)
| ~ p8(esk28_1(X1)) ),
i_0_123 ).
cnf(c_0_236,plain,
( p8(X1)
| ~ r1(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_230,c_0_151]) ).
cnf(c_0_237,plain,
r1(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))),esk28_1(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233])]),c_0_234]) ).
cnf(c_0_238,plain,
~ p8(esk28_1(esk30_1(esk32_1(esk34_1(esk37_1(esk39_1(esk40_1(esk1_0)))))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_232]),c_0_233])]),c_0_234]) ).
cnf(c_0_239,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_151])]),c_0_238]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL656+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : enigmatic-eprover.py %s %d 1
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 09:52:14 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.42 # ENIGMATIC: Selected complete mode:
% 177.56/24.37 # ENIGMATIC: Solved by autoschedule:
% 177.56/24.37 # No SInE strategy applied
% 177.56/24.37 # Trying AutoSched0 for 150 seconds
% 177.56/24.37 # AutoSched0-Mode selected heuristic G_E___107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S071I
% 177.56/24.37 # and selection function SelectCQArEqLast.
% 177.56/24.37 #
% 177.56/24.37 # Preprocessing time : 0.027 s
% 177.56/24.37 # Presaturation interreduction done
% 177.56/24.37
% 177.56/24.37 # Proof found!
% 177.56/24.37 # SZS status Theorem
% 177.56/24.37 # SZS output start CNFRefutation
% See solution above
% 177.56/24.38 # Training examples: 0 positive, 0 negative
% 177.56/24.38
% 177.56/24.38 # -------------------------------------------------
% 177.56/24.38 # User time : 20.862 s
% 177.56/24.38 # System time : 0.392 s
% 177.56/24.38 # Total time : 21.254 s
% 177.56/24.38 # Maximum resident set size: 3584 pages
% 177.56/24.38
%------------------------------------------------------------------------------