TSTP Solution File: NUN082+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUN082+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 16:24:57 EDT 2022
% Result : Theorem 20.23s 3.78s
% Output : CNFRefutation 20.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 30
% Syntax : Number of clauses : 134 ( 53 unt; 8 nHn; 89 RR)
% Number of literals : 267 ( 0 equ; 131 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 1 con; 0-2 aty)
% Number of variables : 226 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_49,plain,
( ~ r1(X1)
| ~ id(X1,X2)
| ~ r2(X3,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_49) ).
cnf(i_0_46,plain,
( id(X1,esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_46) ).
cnf(i_0_47,plain,
( id(X1,esk18_1(X1))
| id(X1,esk20_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_47) ).
cnf(i_0_50,plain,
( id(X1,X2)
| ~ id(X3,X2)
| ~ id(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_50) ).
cnf(i_0_52,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_52) ).
cnf(i_0_40,plain,
id(esk15_1(X1),esk17_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_40) ).
cnf(i_0_39,plain,
r1(esk17_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_39) ).
cnf(i_0_53,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_53) ).
cnf(i_0_17,plain,
( id(X1,esk5_0)
| ~ r1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_17) ).
cnf(i_0_44,plain,
( r1(esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_44) ).
cnf(i_0_45,plain,
( r1(esk18_1(X1))
| id(X1,esk20_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_45) ).
cnf(i_0_3,plain,
( r3(X1,X2,X3)
| ~ id(X4,X3)
| ~ id(X5,X2)
| ~ id(X6,X1)
| ~ r3(X6,X5,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_3) ).
cnf(i_0_32,plain,
r3(X1,esk13_1(X1),esk12_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_32) ).
cnf(i_0_33,plain,
r1(esk13_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_33) ).
cnf(i_0_34,plain,
id(esk12_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_34) ).
cnf(i_0_48,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_48) ).
cnf(i_0_31,plain,
( id(X1,esk11_2(X2,X3))
| ~ r3(X2,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_31) ).
cnf(i_0_28,plain,
( r3(X1,X2,X3)
| ~ id(X3,esk11_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_28) ).
cnf(i_0_7,plain,
( r4(X1,X2,X3)
| ~ id(X4,X3)
| ~ id(X5,X2)
| ~ id(X6,X1)
| ~ r4(X6,X5,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_7) ).
cnf(i_0_41,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_41) ).
cnf(i_0_42,plain,
r1(esk16_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_42) ).
cnf(i_0_43,plain,
id(X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_43) ).
cnf(i_0_38,plain,
( id(X1,esk14_2(X2,X3))
| ~ r4(X2,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_38) ).
cnf(i_0_14,plain,
( r1(X1)
| ~ id(X1,esk5_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_14) ).
cnf(i_0_18,plain,
r4(X1,X2,esk9_2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_18) ).
cnf(i_0_19,plain,
r3(esk9_2(X1,X2),X1,esk6_2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_19) ).
cnf(i_0_59,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ id(X3,X1)
| ~ r2(X2,X4)
| ~ r4(X5,X4,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_59) ).
cnf(i_0_20,plain,
r4(X1,esk8_2(X1,X2),esk7_2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_20) ).
cnf(i_0_22,plain,
id(esk7_2(X1,X2),esk6_2(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_22) ).
cnf(i_0_21,plain,
r2(X1,esk8_2(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m8iykpym/input.p',i_0_21) ).
cnf(c_0_90,plain,
( ~ r1(X1)
| ~ id(X1,X2)
| ~ r2(X3,X2) ),
i_0_49 ).
cnf(c_0_91,plain,
( id(X1,esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
i_0_46 ).
cnf(c_0_92,plain,
( id(X1,esk18_1(X1))
| ~ id(X2,esk20_1(X1))
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_93,plain,
( id(X1,esk18_1(X1))
| id(X1,esk20_1(X1)) ),
i_0_47 ).
cnf(c_0_94,plain,
( id(X1,X2)
| ~ id(X3,X2)
| ~ id(X1,X3) ),
i_0_50 ).
cnf(c_0_95,plain,
( id(X1,esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X1,X2) ),
i_0_52 ).
cnf(c_0_97,plain,
id(esk15_1(X1),esk17_1(X1)),
i_0_40 ).
cnf(c_0_98,plain,
r1(esk17_1(X1)),
i_0_39 ).
cnf(c_0_99,plain,
( r1(X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
i_0_53 ).
cnf(c_0_100,plain,
( id(X1,esk18_1(X2))
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,plain,
( id(X1,esk5_0)
| ~ r1(X1) ),
i_0_17 ).
cnf(c_0_102,plain,
r1(esk15_1(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).
cnf(c_0_103,plain,
( r1(esk18_1(X1))
| ~ id(X2,X1)
| ~ r1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_99]) ).
cnf(c_0_104,plain,
id(esk15_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,plain,
( r1(esk18_1(X1))
| r2(esk19_1(X1),esk20_1(X1)) ),
i_0_44 ).
cnf(c_0_106,plain,
r1(esk18_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_102])]) ).
cnf(c_0_107,plain,
( r1(esk18_1(X1))
| ~ id(X2,esk20_1(X1))
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_105]) ).
cnf(c_0_108,plain,
( r1(esk18_1(X1))
| id(X1,esk20_1(X1)) ),
i_0_45 ).
cnf(c_0_109,plain,
( r3(X1,X2,X3)
| ~ id(X4,X3)
| ~ id(X5,X2)
| ~ id(X6,X1)
| ~ r3(X6,X5,X4) ),
i_0_3 ).
cnf(c_0_110,plain,
r3(X1,esk13_1(X1),esk12_1(X1)),
i_0_32 ).
cnf(c_0_111,plain,
r1(esk13_1(X1)),
i_0_33 ).
cnf(c_0_112,plain,
id(esk18_1(esk5_0),esk5_0),
inference(spm,[status(thm)],[c_0_101,c_0_106]) ).
cnf(c_0_113,plain,
( r1(esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,plain,
( r3(X1,X2,X3)
| ~ id(esk13_1(X4),X2)
| ~ id(esk12_1(X4),X3)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_115,plain,
id(esk13_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_101,c_0_111]) ).
cnf(c_0_116,plain,
( id(X1,esk5_0)
| ~ id(X1,esk18_1(esk5_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_112]) ).
cnf(c_0_117,plain,
id(esk12_1(X1),X1),
i_0_34 ).
cnf(c_0_118,plain,
( id(esk18_1(X1),esk5_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_113]) ).
cnf(c_0_119,plain,
( r3(X1,esk5_0,X2)
| ~ id(esk12_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,plain,
id(esk12_1(esk18_1(esk5_0)),esk5_0),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,plain,
( id(X1,X2)
| ~ id(X2,X1) ),
i_0_48 ).
cnf(c_0_122,plain,
( id(X1,esk5_0)
| ~ id(X1,esk18_1(X2))
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_118]) ).
cnf(c_0_123,plain,
( id(X1,esk11_2(X2,X3))
| ~ r3(X2,X3,X1) ),
i_0_31 ).
cnf(c_0_124,plain,
( r3(X1,esk5_0,esk5_0)
| ~ id(esk18_1(esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
r1(esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_115]),c_0_111])]) ).
cnf(c_0_126,plain,
( id(esk18_1(X1),X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_95]) ).
cnf(c_0_127,plain,
( id(X1,esk5_0)
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_100]) ).
cnf(c_0_128,plain,
( r1(esk11_2(X1,X2))
| ~ r3(X1,X2,X3)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_123]) ).
cnf(c_0_129,plain,
r3(esk5_0,esk5_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_118]),c_0_125])]) ).
cnf(c_0_130,plain,
( id(X1,X2)
| ~ id(X1,esk18_1(X2))
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_126]) ).
cnf(c_0_131,plain,
( id(esk5_0,esk18_1(X1))
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_118]) ).
cnf(c_0_132,plain,
( id(X1,esk5_0)
| ~ r3(X2,X3,X1)
| ~ r1(esk11_2(X2,X3)) ),
inference(spm,[status(thm)],[c_0_127,c_0_123]) ).
cnf(c_0_133,plain,
r1(esk11_2(esk5_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_125])]) ).
cnf(c_0_134,plain,
( r3(X1,X2,X3)
| ~ id(X3,esk11_2(X1,X2)) ),
i_0_28 ).
cnf(c_0_135,plain,
( id(esk5_0,X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_136,plain,
( id(X1,esk5_0)
| ~ r3(esk5_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,plain,
r3(X1,X2,esk12_1(esk11_2(X1,X2))),
inference(spm,[status(thm)],[c_0_134,c_0_117]) ).
cnf(c_0_138,plain,
id(esk5_0,esk15_1(X1)),
inference(spm,[status(thm)],[c_0_135,c_0_102]) ).
cnf(c_0_139,plain,
id(esk12_1(esk11_2(esk5_0,esk5_0)),esk5_0),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,plain,
id(X1,esk12_1(X1)),
inference(spm,[status(thm)],[c_0_121,c_0_117]) ).
cnf(c_0_141,plain,
( r4(X1,X2,X3)
| ~ id(X4,X3)
| ~ id(X5,X2)
| ~ id(X6,X1)
| ~ r4(X6,X5,X4) ),
i_0_7 ).
cnf(c_0_142,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
i_0_41 ).
cnf(c_0_143,plain,
r1(esk16_1(X1)),
i_0_42 ).
cnf(c_0_144,plain,
( id(X1,esk18_1(X2))
| ~ id(X1,esk5_0)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_131]) ).
cnf(c_0_145,plain,
( id(X1,esk15_1(X2))
| ~ id(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_138]) ).
cnf(c_0_146,plain,
( r3(X1,esk5_0,esk5_0)
| ~ id(esk11_2(esk5_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_139]) ).
cnf(c_0_147,plain,
id(X1,X1),
i_0_43 ).
cnf(c_0_148,plain,
( id(X1,esk12_1(X2))
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_140]) ).
cnf(c_0_149,plain,
( r4(X1,X2,X3)
| ~ id(esk16_1(X4),X2)
| ~ id(esk15_1(X4),X3)
| ~ id(X4,X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_150,plain,
id(esk16_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_101,c_0_143]) ).
cnf(c_0_151,plain,
( id(X1,X2)
| ~ id(X1,esk5_0)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_144]) ).
cnf(c_0_152,plain,
( id(esk15_1(X1),X2)
| ~ id(X2,esk5_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_145]) ).
cnf(c_0_153,plain,
r3(esk11_2(esk5_0,esk5_0),esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_154,plain,
( r1(esk12_1(X1))
| ~ id(X2,X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_148]) ).
cnf(c_0_155,plain,
( id(esk12_1(X1),X2)
| ~ id(X2,X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_148]) ).
cnf(c_0_156,plain,
id(esk17_1(X1),esk5_0),
inference(spm,[status(thm)],[c_0_101,c_0_98]) ).
cnf(c_0_157,plain,
( id(X1,esk14_2(X2,X3))
| ~ r4(X2,X3,X1) ),
i_0_38 ).
cnf(c_0_158,plain,
( r4(X1,esk5_0,X2)
| ~ id(esk15_1(X3),X2)
| ~ id(X3,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_159,plain,
( id(esk15_1(X1),X2)
| ~ r1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_147])]) ).
cnf(c_0_160,plain,
r1(esk11_2(esk11_2(esk5_0,esk5_0),esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_153]),c_0_125])]) ).
cnf(c_0_161,plain,
( r1(esk12_1(X1))
| ~ id(X1,X2)
| ~ r1(esk12_1(X2)) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_162,plain,
( r1(X1)
| ~ id(X1,esk5_0) ),
i_0_14 ).
cnf(c_0_163,plain,
( id(esk12_1(X1),esk5_0)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_117]) ).
cnf(c_0_164,plain,
( id(X1,esk5_0)
| ~ id(X1,esk17_1(X2)) ),
inference(spm,[status(thm)],[c_0_94,c_0_156]) ).
cnf(c_0_165,plain,
( id(esk14_2(X1,X2),X3)
| ~ r4(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_157]) ).
cnf(c_0_166,plain,
( r4(X1,esk5_0,X2)
| ~ id(X3,X1)
| ~ r1(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_167,plain,
id(esk11_2(esk11_2(esk5_0,esk5_0),esk5_0),esk5_0),
inference(spm,[status(thm)],[c_0_101,c_0_160]) ).
cnf(c_0_168,plain,
( r1(esk12_1(X1))
| ~ id(esk12_1(X2),esk5_0)
| ~ id(X1,X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_169,plain,
( id(esk12_1(X1),X2)
| ~ r1(X2)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_163]) ).
cnf(c_0_170,plain,
( id(esk14_2(X1,X2),esk5_0)
| ~ r4(X1,X2,esk17_1(X3)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_171,plain,
( r4(esk5_0,esk5_0,X1)
| ~ r1(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,plain,
( r1(esk12_1(X1))
| ~ id(X1,X2)
| ~ r1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_125])]) ).
cnf(c_0_173,plain,
id(esk14_2(esk5_0,esk5_0),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_98])]) ).
cnf(c_0_174,plain,
r1(esk12_1(esk14_2(esk5_0,esk5_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_125])]) ).
cnf(c_0_175,plain,
id(esk12_1(esk14_2(esk5_0,esk5_0)),esk5_0),
inference(spm,[status(thm)],[c_0_101,c_0_174]) ).
cnf(c_0_176,plain,
( r3(X1,esk5_0,esk5_0)
| ~ id(esk14_2(esk5_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_175]) ).
cnf(c_0_177,plain,
( r3(X1,esk5_0,esk5_0)
| ~ r4(esk5_0,esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_165]) ).
cnf(c_0_178,plain,
r4(X1,X2,esk9_2(X1,X2)),
i_0_18 ).
cnf(c_0_179,plain,
r3(esk9_2(esk5_0,esk5_0),esk5_0,esk5_0),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_180,plain,
r1(esk11_2(esk9_2(esk5_0,esk5_0),esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_179]),c_0_125])]) ).
cnf(c_0_181,plain,
( id(X1,esk5_0)
| ~ r3(esk9_2(esk5_0,esk5_0),esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_180]) ).
cnf(c_0_182,plain,
r3(esk9_2(X1,X2),X1,esk6_2(X1,X2)),
i_0_19 ).
cnf(c_0_183,negated_conjecture,
( ~ r1(X1)
| ~ r1(X2)
| ~ id(X3,X1)
| ~ r2(X2,X4)
| ~ r4(X5,X4,X3) ),
i_0_59 ).
cnf(c_0_184,plain,
r4(X1,esk8_2(X1,X2),esk7_2(X1,X2)),
i_0_20 ).
cnf(c_0_185,plain,
id(esk7_2(X1,X2),esk6_2(X1,X2)),
i_0_22 ).
cnf(c_0_186,plain,
id(esk6_2(esk5_0,esk5_0),esk5_0),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_187,negated_conjecture,
( ~ r2(X1,esk8_2(X2,X3))
| ~ id(esk7_2(X2,X3),X4)
| ~ r1(X1)
| ~ r1(X4) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
cnf(c_0_188,plain,
r2(X1,esk8_2(X2,X1)),
i_0_21 ).
cnf(c_0_189,plain,
( id(esk7_2(X1,X2),esk5_0)
| ~ r1(esk6_2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_127,c_0_185]) ).
cnf(c_0_190,plain,
r1(esk6_2(esk5_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_186]),c_0_125])]) ).
cnf(c_0_191,plain,
( ~ id(esk7_2(X1,X2),X3)
| ~ r1(X2)
| ~ r1(X3) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_192,plain,
id(esk7_2(esk5_0,esk5_0),esk5_0),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_193,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : NUN082+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.09 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 2 06:52:02 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.34 # ENIGMATIC: Selected SinE mode:
% 0.13/0.35 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.13/0.35 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.13/0.35 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 20.23/3.78 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 20.23/3.78 # Version: 2.1pre011
% 20.23/3.78 # Preprocessing time : 0.016 s
% 20.23/3.78
% 20.23/3.78 # Proof found!
% 20.23/3.78 # SZS status Theorem
% 20.23/3.78 # SZS output start CNFRefutation
% See solution above
% 20.23/3.78 # Proof object total steps : 134
% 20.23/3.78 # Proof object clause steps : 104
% 20.23/3.78 # Proof object formula steps : 30
% 20.23/3.78 # Proof object conjectures : 3
% 20.23/3.78 # Proof object clause conjectures : 2
% 20.23/3.78 # Proof object formula conjectures : 1
% 20.23/3.78 # Proof object initial clauses used : 30
% 20.23/3.78 # Proof object initial formulas used : 30
% 20.23/3.78 # Proof object generating inferences : 74
% 20.23/3.78 # Proof object simplifying inferences : 27
% 20.23/3.78 # Training examples: 0 positive, 0 negative
% 20.23/3.78 # Parsed axioms : 43
% 20.23/3.78 # Removed by relevancy pruning/SinE : 0
% 20.23/3.78 # Initial clauses : 43
% 20.23/3.78 # Removed in clause preprocessing : 0
% 20.23/3.78 # Initial clauses in saturation : 43
% 20.23/3.78 # Processed clauses : 5935
% 20.23/3.78 # ...of these trivial : 415
% 20.23/3.78 # ...subsumed : 3148
% 20.23/3.78 # ...remaining for further processing : 2372
% 20.23/3.78 # Other redundant clauses eliminated : 0
% 20.23/3.78 # Clauses deleted for lack of memory : 0
% 20.23/3.78 # Backward-subsumed : 105
% 20.23/3.78 # Backward-rewritten : 13
% 20.23/3.78 # Generated clauses : 132864
% 20.23/3.78 # ...of the previous two non-trivial : 114572
% 20.23/3.78 # Contextual simplify-reflections : 422
% 20.23/3.78 # Paramodulations : 132852
% 20.23/3.78 # Factorizations : 12
% 20.23/3.78 # Equation resolutions : 0
% 20.23/3.78 # Propositional unsat checks : 0
% 20.23/3.78 # Propositional unsat check successes : 0
% 20.23/3.78 # Current number of processed clauses : 2254
% 20.23/3.78 # Positive orientable unit clauses : 724
% 20.23/3.78 # Positive unorientable unit clauses: 0
% 20.23/3.78 # Negative unit clauses : 78
% 20.23/3.78 # Non-unit-clauses : 1452
% 20.23/3.78 # Current number of unprocessed clauses: 102947
% 20.23/3.78 # ...number of literals in the above : 305007
% 20.23/3.78 # Current number of archived formulas : 0
% 20.23/3.78 # Current number of archived clauses : 118
% 20.23/3.78 # Clause-clause subsumption calls (NU) : 438883
% 20.23/3.78 # Rec. Clause-clause subsumption calls : 303297
% 20.23/3.78 # Non-unit clause-clause subsumptions : 2628
% 20.23/3.78 # Unit Clause-clause subsumption calls : 14061
% 20.23/3.78 # Rewrite failures with RHS unbound : 0
% 20.23/3.78 # BW rewrite match attempts : 6254
% 20.23/3.78 # BW rewrite match successes : 25
% 20.23/3.78 # Condensation attempts : 0
% 20.23/3.78 # Condensation successes : 0
% 20.23/3.78 # Termbank termtop insertions : 2056138
% 20.23/3.78
% 20.23/3.78 # -------------------------------------------------
% 20.23/3.78 # User time : 1.629 s
% 20.23/3.78 # System time : 0.054 s
% 20.23/3.78 # Total time : 1.683 s
% 20.23/3.78 # ...preprocessing : 0.016 s
% 20.23/3.78 # ...main loop : 1.667 s
% 20.23/3.78 # Maximum resident set size: 93416 pages
% 20.23/3.78
%------------------------------------------------------------------------------