TSTP Solution File: ALG110+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Thu Jul 14 15:00:18 EDT 2022
% Result : Theorem 7.78s 2.89s
% Output : CNFRefutation 7.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 93
% Syntax : Number of clauses : 304 ( 178 unt; 113 nHn; 304 RR)
% Number of literals : 664 ( 657 equ; 228 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_354,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_354) ).
cnf(i_0_352,plain,
op2(e22,e22) = e23,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_352) ).
cnf(i_0_351,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_351) ).
cnf(i_0_349,plain,
op1(e12,e12) = e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_349) ).
cnf(i_0_353,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_353) ).
cnf(i_0_103,plain,
op1(e12,e13) != op1(e12,e12),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_103) ).
cnf(i_0_121,plain,
op1(e13,e13) != op1(e12,e13),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_121) ).
cnf(i_0_350,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = e11,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_350) ).
cnf(i_0_300,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_300) ).
cnf(i_0_202,plain,
e23 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_202) ).
cnf(i_0_174,plain,
op2(e21,e23) != op2(e20,e23),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_174) ).
cnf(i_0_5,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_5) ).
cnf(i_0_125,plain,
op1(e10,e13) != op1(e12,e13),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_125) ).
cnf(i_0_127,plain,
op1(e13,e12) != op1(e12,e12),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_127) ).
cnf(i_0_97,plain,
op1(e13,e13) != op1(e13,e12),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_97) ).
cnf(i_0_204,plain,
e21 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_204) ).
cnf(i_0_252,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_252) ).
cnf(i_0_193,plain,
e13 != e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_193) ).
cnf(i_0_31,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_31) ).
cnf(i_0_196,plain,
e10 != e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_196) ).
cnf(i_0_170,plain,
op2(e23,e23) != op2(e21,e23),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_170) ).
cnf(i_0_171,plain,
op2(e22,e23) != op2(e21,e23),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_171) ).
cnf(i_0_264,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13
| op1(e11,e11) != e11 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_264) ).
cnf(i_0_268,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_268) ).
cnf(i_0_104,plain,
op1(e12,e11) != op1(e12,e13),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_104) ).
cnf(i_0_198,plain,
e11 != e10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_198) ).
cnf(i_0_348,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_348) ).
cnf(i_0_340,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23
| op2(e20,e20) != e20 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_340) ).
cnf(i_0_154,plain,
op2(e22,e23) != op2(e22,e20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_154) ).
cnf(i_0_153,plain,
op2(e22,e22) != op2(e22,e21),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_153) ).
cnf(i_0_57,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_57) ).
cnf(i_0_117,plain,
op1(e10,e11) != op1(e10,e12),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_117) ).
cnf(i_0_332,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_332) ).
cnf(i_0_328,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23
| op2(e21,e21) != e21 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_328) ).
cnf(i_0_152,plain,
op2(e22,e23) != op2(e22,e21),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_152) ).
cnf(i_0_81,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_81) ).
cnf(i_0_158,plain,
op2(e21,e23) != op2(e21,e21),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_158) ).
cnf(i_0_276,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13
| op1(e10,e10) != e10 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_276) ).
cnf(i_0_284,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_284) ).
cnf(i_0_106,plain,
op1(e12,e10) != op1(e12,e13),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_106) ).
cnf(i_0_150,plain,
op2(e23,e21) != op2(e23,e20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_150) ).
cnf(i_0_102,plain,
op1(e13,e11) != op1(e13,e10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_102) ).
cnf(i_0_131,plain,
op1(e10,e12) != op1(e12,e12),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_131) ).
cnf(i_0_179,plain,
op2(e22,e22) != op2(e20,e22),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_179) ).
cnf(i_0_184,plain,
op2(e23,e21) != op2(e20,e21),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_184) ).
cnf(i_0_107,plain,
op1(e12,e10) != op1(e12,e12),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_107) ).
cnf(i_0_30,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_30) ).
cnf(i_0_194,plain,
e11 != e13,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_194) ).
cnf(i_0_42,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_42) ).
cnf(i_0_155,plain,
op2(e22,e22) != op2(e22,e20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_155) ).
cnf(i_0_62,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_62) ).
cnf(i_0_163,plain,
op2(e20,e23) != op2(e20,e22),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_163) ).
cnf(i_0_175,plain,
op2(e23,e22) != op2(e22,e22),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_175) ).
cnf(i_0_364,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_364) ).
cnf(i_0_365,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_365) ).
cnf(i_0_17,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_17) ).
cnf(i_0_8,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_8) ).
cnf(i_0_27,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_27) ).
cnf(i_0_22,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_22) ).
cnf(i_0_140,plain,
op1(e11,e10) != op1(e13,e10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_140) ).
cnf(i_0_98,plain,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_98) ).
cnf(i_0_141,plain,
op1(e11,e10) != op1(e12,e10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_141) ).
cnf(i_0_44,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_44) ).
cnf(i_0_195,plain,
e11 != e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_195) ).
cnf(i_0_136,plain,
op1(e10,e11) != op1(e13,e11),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_136) ).
cnf(i_0_89,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_89) ).
cnf(i_0_160,plain,
op2(e21,e23) != op2(e21,e20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_160) ).
cnf(i_0_324,plain,
( op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23
| op2(e21,e20) != e21 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_324) ).
cnf(i_0_320,plain,
( op2(e22,e21) = e22
| op2(e23,e21) = e23
| op2(e21,e20) != e21
| op2(e21,e21) != e21 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_320) ).
cnf(i_0_316,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_316) ).
cnf(i_0_199,plain,
e23 != e22,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_199) ).
cnf(i_0_161,plain,
op2(e21,e22) != op2(e21,e20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_161) ).
cnf(i_0_572,plain,
( epred3_0
| h3(e10) != e20
| h3(e11) != e21
| h3(e12) != e22
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_572) ).
cnf(i_0_366,plain,
h3(e12) = e22,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_366) ).
cnf(i_0_363,plain,
op2(e22,e22) = h3(e13),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_363) ).
cnf(i_0_375,negated_conjecture,
( h3(e13) != e23
| ~ epred3_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_375) ).
cnf(i_0_197,plain,
e10 != e12,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_197) ).
cnf(i_0_39,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_39) ).
cnf(i_0_20,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_20) ).
cnf(i_0_77,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_77) ).
cnf(i_0_200,plain,
e23 != e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_200) ).
cnf(i_0_180,plain,
op2(e21,e22) != op2(e20,e22),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_180) ).
cnf(i_0_164,plain,
op2(e20,e23) != op2(e20,e21),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_164) ).
cnf(i_0_148,plain,
op2(e23,e23) != op2(e23,e20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_148) ).
cnf(i_0_88,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_88) ).
cnf(i_0_203,plain,
e22 != e20,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_203) ).
cnf(i_0_85,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_85) ).
cnf(i_0_162,plain,
op2(e21,e21) != op2(e21,e20),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_162) ).
cnf(i_0_95,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_95) ).
cnf(i_0_75,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_75) ).
cnf(i_0_91,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_91) ).
cnf(i_0_83,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_83) ).
cnf(i_0_201,plain,
e22 != e21,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-681r81fs/lgb.p',i_0_201) ).
cnf(c_0_666,plain,
op2(op2(e22,e22),op2(e22,e22)) = e20,
i_0_354 ).
cnf(c_0_667,plain,
op2(e22,e22) = e23,
i_0_352 ).
cnf(c_0_668,plain,
op1(op1(e12,e12),op1(e12,e12)) = e10,
i_0_351 ).
cnf(c_0_669,plain,
op1(e12,e12) = e13,
i_0_349 ).
cnf(c_0_670,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = e21,
i_0_353 ).
cnf(c_0_671,plain,
op2(e23,e23) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_666,c_0_667]),c_0_667]) ).
cnf(c_0_672,plain,
op1(e12,e13) != op1(e12,e12),
i_0_103 ).
cnf(c_0_673,plain,
op1(e13,e13) != op1(e12,e13),
i_0_121 ).
cnf(c_0_674,plain,
op1(e13,e13) = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_669]),c_0_669]) ).
cnf(c_0_675,plain,
op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) = e11,
i_0_350 ).
cnf(c_0_676,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22
| op2(e23,e23) = e23 ),
i_0_300 ).
cnf(c_0_677,plain,
e23 != e20,
i_0_202 ).
cnf(c_0_678,plain,
op2(e21,e23) != op2(e20,e23),
i_0_174 ).
cnf(c_0_679,plain,
op2(e20,e23) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_670,c_0_667]),c_0_667]),c_0_671]),c_0_667]) ).
cnf(c_0_680,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
i_0_5 ).
cnf(c_0_681,plain,
op1(e12,e13) != e13,
inference(rw,[status(thm)],[c_0_672,c_0_669]) ).
cnf(c_0_682,plain,
op1(e12,e13) != e10,
inference(rw,[status(thm)],[c_0_673,c_0_674]) ).
cnf(c_0_683,plain,
op1(e10,e13) != op1(e12,e13),
i_0_125 ).
cnf(c_0_684,plain,
op1(e10,e13) = e11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_675,c_0_669]),c_0_669]),c_0_674]),c_0_669]) ).
cnf(c_0_685,plain,
op1(e13,e12) != op1(e12,e12),
i_0_127 ).
cnf(c_0_686,plain,
op1(e13,e13) != op1(e13,e12),
i_0_97 ).
cnf(c_0_687,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e21
| op2(e22,e23) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_676,c_0_671]),c_0_677]) ).
cnf(c_0_688,plain,
op2(e21,e23) != e21,
inference(rw,[status(thm)],[c_0_678,c_0_679]) ).
cnf(c_0_689,plain,
e21 != e20,
i_0_204 ).
cnf(c_0_690,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_680,c_0_681]),c_0_682]) ).
cnf(c_0_691,plain,
op1(e12,e13) != e11,
inference(rw,[status(thm)],[c_0_683,c_0_684]) ).
cnf(c_0_692,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11
| op1(e12,e12) = e12
| op1(e13,e12) = e13 ),
i_0_252 ).
cnf(c_0_693,plain,
e13 != e12,
i_0_193 ).
cnf(c_0_694,plain,
op1(e13,e12) != e13,
inference(rw,[status(thm)],[c_0_685,c_0_669]) ).
cnf(c_0_695,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
i_0_31 ).
cnf(c_0_696,plain,
e10 != e13,
i_0_196 ).
cnf(c_0_697,plain,
op1(e13,e12) != e10,
inference(rw,[status(thm)],[c_0_686,c_0_674]) ).
cnf(c_0_698,plain,
op2(e23,e23) != op2(e21,e23),
i_0_170 ).
cnf(c_0_699,plain,
op2(e22,e23) != op2(e21,e23),
i_0_171 ).
cnf(c_0_700,plain,
op2(e22,e23) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_687,c_0_688]),c_0_679]),c_0_689]) ).
cnf(c_0_701,plain,
( op1(e10,e11) = e10
| op1(e12,e11) = e12
| op1(e13,e11) = e13
| op1(e11,e11) != e11 ),
i_0_264 ).
cnf(c_0_702,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e11
| op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
i_0_268 ).
cnf(c_0_703,plain,
op1(e12,e11) != op1(e12,e13),
i_0_104 ).
cnf(c_0_704,plain,
op1(e12,e13) = e12,
inference(sr,[status(thm)],[c_0_690,c_0_691]) ).
cnf(c_0_705,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e11 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_692,c_0_669]),c_0_693]),c_0_694]) ).
cnf(c_0_706,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_695,c_0_669]),c_0_696]),c_0_697]) ).
cnf(c_0_707,plain,
e11 != e10,
i_0_198 ).
cnf(c_0_708,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23 ),
i_0_348 ).
cnf(c_0_709,plain,
( op2(e21,e20) = e21
| op2(e22,e20) = e22
| op2(e23,e20) = e23
| op2(e20,e20) != e20 ),
i_0_340 ).
cnf(c_0_710,plain,
op2(e22,e23) != op2(e22,e20),
i_0_154 ).
cnf(c_0_711,plain,
op2(e22,e22) != op2(e22,e21),
i_0_153 ).
cnf(c_0_712,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
i_0_57 ).
cnf(c_0_713,plain,
op2(e21,e23) != e20,
inference(rw,[status(thm)],[c_0_698,c_0_671]) ).
cnf(c_0_714,plain,
op2(e21,e23) != e22,
inference(rw,[status(thm)],[c_0_699,c_0_700]) ).
cnf(c_0_715,plain,
( op1(e10,e11) = e10
| op1(e13,e11) = e13
| op1(e12,e11) = e12 ),
inference(csr,[status(thm)],[c_0_701,c_0_702]) ).
cnf(c_0_716,plain,
op1(e12,e11) != e12,
inference(rw,[status(thm)],[c_0_703,c_0_704]) ).
cnf(c_0_717,plain,
op1(e10,e11) != op1(e10,e12),
i_0_117 ).
cnf(c_0_718,plain,
op1(e10,e12) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_706]),c_0_707]) ).
cnf(c_0_719,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23 ),
i_0_332 ).
cnf(c_0_720,plain,
( op2(e20,e21) = e20
| op2(e22,e21) = e22
| op2(e23,e21) = e23
| op2(e21,e21) != e21 ),
i_0_328 ).
cnf(c_0_721,plain,
op2(e22,e23) != op2(e22,e21),
i_0_152 ).
cnf(c_0_722,plain,
( op2(e23,e20) = e23
| op2(e21,e20) = e21
| op2(e22,e20) = e22 ),
inference(csr,[status(thm)],[c_0_708,c_0_709]) ).
cnf(c_0_723,plain,
op2(e22,e20) != e22,
inference(rw,[status(thm)],[c_0_710,c_0_700]) ).
cnf(c_0_724,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
i_0_81 ).
cnf(c_0_725,plain,
op2(e22,e21) != e23,
inference(rw,[status(thm)],[c_0_711,c_0_667]) ).
cnf(c_0_726,plain,
op2(e21,e23) != op2(e21,e21),
i_0_158 ).
cnf(c_0_727,plain,
op2(e21,e23) = e23,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_712,c_0_713]),c_0_688]),c_0_714]) ).
cnf(c_0_728,plain,
( op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13
| op1(e10,e10) != e10 ),
i_0_276 ).
cnf(c_0_729,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e11
| op1(e12,e10) = e12
| op1(e13,e10) = e13 ),
i_0_284 ).
cnf(c_0_730,plain,
op1(e12,e10) != op1(e12,e13),
i_0_106 ).
cnf(c_0_731,plain,
( op1(e13,e11) = e13
| op1(e10,e11) = e10 ),
inference(sr,[status(thm)],[c_0_715,c_0_716]) ).
cnf(c_0_732,plain,
op1(e10,e11) != e10,
inference(rw,[status(thm)],[c_0_717,c_0_718]) ).
cnf(c_0_733,plain,
( op2(e20,e21) = e20
| op2(e23,e21) = e23
| op2(e22,e21) = e22 ),
inference(csr,[status(thm)],[c_0_719,c_0_720]) ).
cnf(c_0_734,plain,
op2(e22,e21) != e22,
inference(rw,[status(thm)],[c_0_721,c_0_700]) ).
cnf(c_0_735,plain,
op2(e23,e21) != op2(e23,e20),
i_0_150 ).
cnf(c_0_736,plain,
( op2(e21,e20) = e21
| op2(e23,e20) = e23 ),
inference(sr,[status(thm)],[c_0_722,c_0_723]) ).
cnf(c_0_737,plain,
( op2(e20,e21) = e23
| op2(e23,e21) = e23
| op2(e21,e21) = e23 ),
inference(sr,[status(thm)],[c_0_724,c_0_725]) ).
cnf(c_0_738,plain,
op2(e21,e21) != e23,
inference(rw,[status(thm)],[c_0_726,c_0_727]) ).
cnf(c_0_739,plain,
( op1(e13,e10) = e13
| op1(e11,e10) = e11
| op1(e12,e10) = e12 ),
inference(csr,[status(thm)],[c_0_728,c_0_729]) ).
cnf(c_0_740,plain,
op1(e12,e10) != e12,
inference(rw,[status(thm)],[c_0_730,c_0_704]) ).
cnf(c_0_741,plain,
op1(e13,e11) != op1(e13,e10),
i_0_102 ).
cnf(c_0_742,plain,
op1(e13,e11) = e13,
inference(sr,[status(thm)],[c_0_731,c_0_732]) ).
cnf(c_0_743,plain,
op1(e10,e12) != op1(e12,e12),
i_0_131 ).
cnf(c_0_744,plain,
op2(e22,e22) != op2(e20,e22),
i_0_179 ).
cnf(c_0_745,plain,
op2(e23,e21) != op2(e20,e21),
i_0_184 ).
cnf(c_0_746,plain,
( op2(e23,e21) = e23
| op2(e20,e21) = e20 ),
inference(sr,[status(thm)],[c_0_733,c_0_734]) ).
cnf(c_0_747,plain,
( op2(e21,e20) = e21
| op2(e23,e21) != e23 ),
inference(spm,[status(thm)],[c_0_735,c_0_736]) ).
cnf(c_0_748,plain,
( op2(e23,e21) = e23
| op2(e20,e21) = e23 ),
inference(sr,[status(thm)],[c_0_737,c_0_738]) ).
cnf(c_0_749,plain,
op1(e12,e10) != op1(e12,e12),
i_0_107 ).
cnf(c_0_750,plain,
( op1(e11,e10) = e11
| op1(e13,e10) = e13 ),
inference(sr,[status(thm)],[c_0_739,c_0_740]) ).
cnf(c_0_751,plain,
op1(e13,e10) != e13,
inference(rw,[status(thm)],[c_0_741,c_0_742]) ).
cnf(c_0_752,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
i_0_30 ).
cnf(c_0_753,plain,
e11 != e13,
i_0_194 ).
cnf(c_0_754,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
i_0_42 ).
cnf(c_0_755,plain,
op1(e10,e12) != e13,
inference(rw,[status(thm)],[c_0_743,c_0_669]) ).
cnf(c_0_756,plain,
op2(e22,e22) != op2(e22,e20),
i_0_155 ).
cnf(c_0_757,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
i_0_62 ).
cnf(c_0_758,plain,
op2(e20,e22) != e23,
inference(rw,[status(thm)],[c_0_744,c_0_667]) ).
cnf(c_0_759,plain,
op2(e20,e23) != op2(e20,e22),
i_0_163 ).
cnf(c_0_760,plain,
op2(e23,e22) != op2(e22,e22),
i_0_175 ).
cnf(c_0_761,plain,
( op2(e20,e21) = e20
| op2(e20,e21) != e23 ),
inference(spm,[status(thm)],[c_0_745,c_0_746]) ).
cnf(c_0_762,plain,
( op2(e20,e21) = e23
| op2(e21,e20) = e21 ),
inference(spm,[status(thm)],[c_0_747,c_0_748]) ).
cnf(c_0_763,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
i_0_364 ).
cnf(c_0_764,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
i_0_365 ).
cnf(c_0_765,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
i_0_17 ).
cnf(c_0_766,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
i_0_8 ).
cnf(c_0_767,plain,
op1(e12,e10) != e13,
inference(rw,[status(thm)],[c_0_749,c_0_669]) ).
cnf(c_0_768,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
i_0_27 ).
cnf(c_0_769,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
i_0_22 ).
cnf(c_0_770,plain,
op1(e11,e10) != op1(e13,e10),
i_0_140 ).
cnf(c_0_771,plain,
op1(e11,e10) = e11,
inference(sr,[status(thm)],[c_0_750,c_0_751]) ).
cnf(c_0_772,plain,
op1(e13,e11) != op1(e13,e13),
i_0_98 ).
cnf(c_0_773,plain,
( op1(e12,e10) = e11
| op1(e12,e13) = e11
| op1(e12,e11) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_752,c_0_669]),c_0_753]) ).
cnf(c_0_774,plain,
op1(e11,e10) != op1(e12,e10),
i_0_141 ).
cnf(c_0_775,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
i_0_44 ).
cnf(c_0_776,plain,
e11 != e12,
i_0_195 ).
cnf(c_0_777,plain,
( op1(e10,e10) = e13
| op1(e10,e13) = e13
| op1(e10,e11) = e13 ),
inference(sr,[status(thm)],[c_0_754,c_0_755]) ).
cnf(c_0_778,plain,
op1(e10,e11) != op1(e13,e11),
i_0_136 ).
cnf(c_0_779,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
i_0_89 ).
cnf(c_0_780,plain,
op2(e22,e20) != e23,
inference(rw,[status(thm)],[c_0_756,c_0_667]) ).
cnf(c_0_781,plain,
op2(e21,e23) != op2(e21,e20),
i_0_160 ).
cnf(c_0_782,plain,
( op2(e21,e21) = e21
| op2(e22,e21) = e22
| op2(e23,e21) = e23
| op2(e21,e20) != e21 ),
i_0_324 ).
cnf(c_0_783,plain,
( op2(e22,e21) = e22
| op2(e23,e21) = e23
| op2(e21,e20) != e21
| op2(e21,e21) != e21 ),
i_0_320 ).
cnf(c_0_784,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(sr,[status(thm)],[c_0_757,c_0_758]) ).
cnf(c_0_785,plain,
op2(e20,e22) != e21,
inference(rw,[status(thm)],[c_0_759,c_0_679]) ).
cnf(c_0_786,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21
| op2(e22,e22) = e22
| op2(e23,e22) = e23 ),
i_0_316 ).
cnf(c_0_787,plain,
e23 != e22,
i_0_199 ).
cnf(c_0_788,plain,
op2(e23,e22) != e23,
inference(rw,[status(thm)],[c_0_760,c_0_667]) ).
cnf(c_0_789,plain,
op2(e21,e22) != op2(e21,e20),
i_0_161 ).
cnf(c_0_790,plain,
op2(e21,e20) = e21,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_761,c_0_762]),c_0_677]) ).
cnf(c_0_791,plain,
( epred3_0
| h3(e10) != e20
| h3(e11) != e21
| h3(e12) != e22
| op2(h3(e10),h3(e10)) != h3(op1(e10,e10))
| op2(h3(e10),h3(e11)) != h3(op1(e10,e11))
| op2(h3(e10),h3(e12)) != h3(op1(e10,e12))
| op2(h3(e10),h3(e13)) != h3(op1(e10,e13))
| op2(h3(e11),h3(e10)) != h3(op1(e11,e10))
| op2(h3(e11),h3(e11)) != h3(op1(e11,e11))
| op2(h3(e11),h3(e12)) != h3(op1(e11,e12))
| op2(h3(e11),h3(e13)) != h3(op1(e11,e13))
| op2(h3(e12),h3(e10)) != h3(op1(e12,e10))
| op2(h3(e12),h3(e11)) != h3(op1(e12,e11))
| op2(h3(e12),h3(e12)) != h3(op1(e12,e12))
| op2(h3(e12),h3(e13)) != h3(op1(e12,e13))
| op2(h3(e13),h3(e10)) != h3(op1(e13,e10))
| op2(h3(e13),h3(e11)) != h3(op1(e13,e11))
| op2(h3(e13),h3(e12)) != h3(op1(e13,e12))
| op2(h3(e13),h3(e13)) != h3(op1(e13,e13)) ),
i_0_572 ).
cnf(c_0_792,plain,
h3(e12) = e22,
i_0_366 ).
cnf(c_0_793,plain,
h3(e11) = e21,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_763,c_0_667]),c_0_667]),c_0_671]),c_0_667]),c_0_679]) ).
cnf(c_0_794,plain,
h3(e10) = e20,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_764,c_0_667]),c_0_667]),c_0_671]) ).
cnf(c_0_795,plain,
op2(e22,e22) = h3(e13),
i_0_363 ).
cnf(c_0_796,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_765,c_0_674]),c_0_681]),c_0_696]) ).
cnf(c_0_797,negated_conjecture,
( h3(e13) != e23
| ~ epred3_0 ),
i_0_375 ).
cnf(c_0_798,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(sr,[status(thm)],[c_0_766,c_0_767]) ).
cnf(c_0_799,plain,
( op1(e10,e12) = e12
| op1(e13,e12) = e12
| op1(e11,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_768,c_0_669]),c_0_693]) ).
cnf(c_0_800,plain,
e10 != e12,
i_0_197 ).
cnf(c_0_801,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_769,c_0_674]),c_0_707]) ).
cnf(c_0_802,plain,
op1(e13,e10) != e11,
inference(rw,[status(thm)],[c_0_770,c_0_771]) ).
cnf(c_0_803,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
i_0_39 ).
cnf(c_0_804,plain,
op1(e13,e11) != e10,
inference(rw,[status(thm)],[c_0_772,c_0_674]) ).
cnf(c_0_805,plain,
( op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
inference(sr,[status(thm)],[c_0_773,c_0_691]) ).
cnf(c_0_806,plain,
op1(e12,e10) != e11,
inference(rw,[status(thm)],[c_0_774,c_0_771]) ).
cnf(c_0_807,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
i_0_20 ).
cnf(c_0_808,plain,
( op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_775,c_0_684]),c_0_776]) ).
cnf(c_0_809,plain,
( op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_777,c_0_684]),c_0_753]) ).
cnf(c_0_810,plain,
op1(e10,e11) != e13,
inference(rw,[status(thm)],[c_0_778,c_0_742]) ).
cnf(c_0_811,plain,
( op2(e20,e20) = e23
| op2(e23,e20) = e23
| op2(e21,e20) = e23 ),
inference(sr,[status(thm)],[c_0_779,c_0_780]) ).
cnf(c_0_812,plain,
op2(e21,e20) != e23,
inference(rw,[status(thm)],[c_0_781,c_0_727]) ).
cnf(c_0_813,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e22
| op2(e21,e20) != e21 ),
inference(csr,[status(thm)],[c_0_782,c_0_783]) ).
cnf(c_0_814,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
i_0_77 ).
cnf(c_0_815,plain,
e23 != e21,
i_0_200 ).
cnf(c_0_816,plain,
op2(e21,e22) != op2(e20,e22),
i_0_180 ).
cnf(c_0_817,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e20 ),
inference(sr,[status(thm)],[c_0_784,c_0_785]) ).
cnf(c_0_818,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_786,c_0_667]),c_0_787]),c_0_788]) ).
cnf(c_0_819,plain,
op2(e21,e22) != e21,
inference(rw,[status(thm)],[c_0_789,c_0_790]) ).
cnf(c_0_820,plain,
( epred3_0
| h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e13)) != op2(e22,e23)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != op2(e21,e21)
| h3(op1(e11,e13)) != op2(e21,e23)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_791,c_0_792]),c_0_793]),c_0_794]),c_0_792]),c_0_792]),c_0_667]),c_0_669]),c_0_795]),c_0_667]),c_0_792]),c_0_793]),c_0_792]),c_0_795]),c_0_667]),c_0_792]),c_0_794]),c_0_793]),c_0_792]),c_0_793]),c_0_793]),c_0_793]),c_0_795]),c_0_667]),c_0_793]),c_0_794]),c_0_795]),c_0_667]),c_0_792]),c_0_795]),c_0_667]),c_0_793]),c_0_795]),c_0_667]),c_0_795]),c_0_667]),c_0_671]),c_0_674]),c_0_794]),c_0_795]),c_0_667]),c_0_794]),c_0_794]),c_0_792]),c_0_794]),c_0_793]),c_0_794]),c_0_795]),c_0_667]),c_0_679]),c_0_684]),c_0_793]),c_0_794]),c_0_794])]) ).
cnf(c_0_821,plain,
op1(e11,e13) = e13,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_796,c_0_684]),c_0_753]) ).
cnf(c_0_822,negated_conjecture,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_797,c_0_795]),c_0_667])]) ).
cnf(c_0_823,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(sr,[status(thm)],[c_0_798,c_0_740]) ).
cnf(c_0_824,plain,
( op1(e13,e12) = e12
| op1(e11,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_799,c_0_718]),c_0_800]) ).
cnf(c_0_825,plain,
op1(e13,e12) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_801,c_0_802]),c_0_742]),c_0_753]) ).
cnf(c_0_826,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10 ),
inference(sr,[status(thm)],[c_0_803,c_0_804]) ).
cnf(c_0_827,plain,
op1(e12,e11) = e11,
inference(sr,[status(thm)],[c_0_805,c_0_806]) ).
cnf(c_0_828,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_807,c_0_674]),c_0_800]) ).
cnf(c_0_829,plain,
( op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_808,c_0_718]),c_0_800]) ).
cnf(c_0_830,plain,
op1(e10,e10) = e13,
inference(sr,[status(thm)],[c_0_809,c_0_810]) ).
cnf(c_0_831,plain,
( op2(e23,e20) = e23
| op2(e20,e20) = e23 ),
inference(sr,[status(thm)],[c_0_811,c_0_812]) ).
cnf(c_0_832,plain,
op2(e20,e23) != op2(e20,e21),
i_0_164 ).
cnf(c_0_833,plain,
op2(e23,e23) != op2(e23,e20),
i_0_148 ).
cnf(c_0_834,plain,
( op2(e23,e21) = e23
| op2(e21,e20) != e21 ),
inference(sr,[status(thm)],[c_0_813,c_0_734]) ).
cnf(c_0_835,plain,
( op2(e20,e22) = e21
| op2(e23,e22) = e21
| op2(e21,e22) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_814,c_0_667]),c_0_815]) ).
cnf(c_0_836,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
i_0_88 ).
cnf(c_0_837,plain,
( op2(e20,e22) = e22
| op2(e21,e22) != e20 ),
inference(spm,[status(thm)],[c_0_816,c_0_817]) ).
cnf(c_0_838,plain,
op2(e20,e22) = e20,
inference(sr,[status(thm)],[c_0_818,c_0_819]) ).
cnf(c_0_839,plain,
e22 != e20,
i_0_203 ).
cnf(c_0_840,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| h3(op1(e12,e10)) != op2(e22,e20)
| h3(op1(e11,e12)) != op2(e21,e22)
| h3(op1(e11,e11)) != op2(e21,e21)
| h3(op1(e11,e10)) != op2(e21,e20)
| h3(op1(e13,e12)) != op2(e23,e22)
| h3(op1(e13,e11)) != op2(e23,e21)
| h3(op1(e13,e10)) != op2(e23,e20)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_820,c_0_821]),c_0_795]),c_0_667]),c_0_822]),c_0_704]),c_0_792]),c_0_700]),c_0_727])]) ).
cnf(c_0_841,plain,
op1(e12,e10) = e10,
inference(sr,[status(thm)],[c_0_823,c_0_806]) ).
cnf(c_0_842,plain,
op1(e11,e12) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_824,c_0_825]),c_0_776]) ).
cnf(c_0_843,plain,
op1(e11,e11) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_826,c_0_732]),c_0_827]),c_0_707]) ).
cnf(c_0_844,plain,
op1(e13,e10) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_828,c_0_825]),c_0_776]),c_0_742]),c_0_693]) ).
cnf(c_0_845,plain,
op1(e10,e11) = e12,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_829,c_0_830]),c_0_693]) ).
cnf(c_0_846,plain,
( op2(e20,e20) = e23
| op2(e23,e21) != e23 ),
inference(spm,[status(thm)],[c_0_735,c_0_831]) ).
cnf(c_0_847,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
i_0_85 ).
cnf(c_0_848,plain,
op2(e20,e21) != e21,
inference(rw,[status(thm)],[c_0_832,c_0_679]) ).
cnf(c_0_849,plain,
op2(e21,e21) != op2(e21,e20),
i_0_162 ).
cnf(c_0_850,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
i_0_95 ).
cnf(c_0_851,plain,
op2(e23,e20) != e20,
inference(rw,[status(thm)],[c_0_833,c_0_671]) ).
cnf(c_0_852,plain,
op2(e23,e21) = e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_834,c_0_790])]) ).
cnf(c_0_853,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
i_0_75 ).
cnf(c_0_854,plain,
( op2(e21,e22) = e21
| op2(e23,e22) = e21 ),
inference(sr,[status(thm)],[c_0_835,c_0_785]) ).
cnf(c_0_855,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
i_0_91 ).
cnf(c_0_856,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
i_0_83 ).
cnf(c_0_857,plain,
( op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
inference(sr,[status(thm)],[c_0_836,c_0_713]) ).
cnf(c_0_858,plain,
op2(e21,e22) != e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_837,c_0_838]),c_0_839]) ).
cnf(c_0_859,plain,
( op2(e22,e21) != e21
| op2(e22,e20) != e20
| op2(e21,e22) != e22
| op2(e21,e21) != e20
| op2(e21,e20) != e21
| op2(e23,e22) != e21
| op2(e23,e20) != e22
| op2(e20,e22) != e20
| op2(e20,e21) != e22 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_840,c_0_718]),c_0_794]),c_0_827]),c_0_793]),c_0_841]),c_0_794]),c_0_842]),c_0_792]),c_0_843]),c_0_794]),c_0_771]),c_0_793]),c_0_825]),c_0_793]),c_0_742]),c_0_795]),c_0_667]),c_0_844]),c_0_792]),c_0_845]),c_0_792]),c_0_830]),c_0_795]),c_0_667]),c_0_846]),c_0_834]) ).
cnf(c_0_860,plain,
( op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e23,e21) = e21 ),
inference(sr,[status(thm)],[c_0_847,c_0_848]) ).
cnf(c_0_861,plain,
op2(e21,e21) != e21,
inference(rw,[status(thm)],[c_0_849,c_0_790]) ).
cnf(c_0_862,plain,
( op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(sr,[status(thm)],[c_0_850,c_0_851]) ).
cnf(c_0_863,plain,
op2(e20,e20) = e23,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_846,c_0_852])]) ).
cnf(c_0_864,plain,
( op2(e20,e22) = e22
| op2(e23,e22) = e22
| op2(e21,e22) = e22 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_853,c_0_667]),c_0_787]) ).
cnf(c_0_865,plain,
op2(e23,e22) = e21,
inference(sr,[status(thm)],[c_0_854,c_0_819]) ).
cnf(c_0_866,plain,
e22 != e21,
i_0_201 ).
cnf(c_0_867,plain,
( op2(e21,e20) = e22
| op2(e23,e20) = e22
| op2(e20,e20) = e22 ),
inference(sr,[status(thm)],[c_0_855,c_0_723]) ).
cnf(c_0_868,plain,
( op2(e21,e21) = e22
| op2(e23,e21) = e22
| op2(e20,e21) = e22 ),
inference(sr,[status(thm)],[c_0_856,c_0_734]) ).
cnf(c_0_869,plain,
op2(e21,e21) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_857,c_0_858]),c_0_790]),c_0_689]) ).
cnf(c_0_870,plain,
( op2(e22,e21) != e21
| op2(e22,e20) != e20
| op2(e21,e22) != e22
| op2(e21,e21) != e20
| op2(e23,e22) != e21
| op2(e23,e20) != e22
| op2(e20,e22) != e20
| op2(e20,e21) != e22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_859,c_0_790])]) ).
cnf(c_0_871,plain,
op2(e22,e21) = e21,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_860,c_0_861]),c_0_852]),c_0_815]) ).
cnf(c_0_872,plain,
op2(e22,e20) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_862,c_0_790]),c_0_689]),c_0_863]),c_0_677]) ).
cnf(c_0_873,plain,
op2(e21,e22) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_864,c_0_838]),c_0_839]),c_0_865]),c_0_866]) ).
cnf(c_0_874,plain,
op2(e23,e20) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_867,c_0_790]),c_0_866]),c_0_863]),c_0_787]) ).
cnf(c_0_875,plain,
op2(e20,e21) = e22,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_868,c_0_869]),c_0_839]),c_0_852]),c_0_787]) ).
cnf(c_0_876,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_870,c_0_865])]),c_0_871]),c_0_872]),c_0_873]),c_0_869]),c_0_874]),c_0_838]),c_0_875])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.35 % Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.36 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.65 % Computer : n017.cluster.edu
% 0.14/0.65 % Model : x86_64 x86_64
% 0.14/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.65 % Memory : 8042.1875MB
% 0.14/0.65 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.65 % CPULimit : 300
% 0.14/0.65 % WCLimit : 600
% 0.14/0.65 % DateTime : Wed Jun 8 11:43:35 EDT 2022
% 0.14/0.65 % CPUTime :
% 0.19/0.76 # ENIGMATIC: Selected complete mode:
% 7.78/2.89 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.78/2.89 # No SInE strategy applied
% 7.78/2.89 # Trying AutoSched0 for 150 seconds
% 7.78/2.89 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.78/2.89 # and selection function SelectNewComplexAHP.
% 7.78/2.89 #
% 7.78/2.89 # Preprocessing time : 0.033 s
% 7.78/2.89 # Presaturation interreduction done
% 7.78/2.89
% 7.78/2.89 # Proof found!
% 7.78/2.89 # SZS status Theorem
% 7.78/2.89 # SZS output start CNFRefutation
% See solution above
% 7.78/2.89 # Training examples: 0 positive, 0 negative
% 7.78/2.89
% 7.78/2.89 # -------------------------------------------------
% 7.78/2.89 # User time : 0.087 s
% 7.78/2.89 # System time : 0.001 s
% 7.78/2.89 # Total time : 0.088 s
% 7.78/2.89 # Maximum resident set size: 7128 pages
% 7.78/2.89
%------------------------------------------------------------------------------