TSTP Solution File: ALG115+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG115+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 15:00:19 EDT 2022

% Result   : Theorem 9.38s 2.93s
% Output   : CNFRefutation 9.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   82
% Syntax   : Number of clauses     :  270 ( 174 unt;  86 nHn; 270 RR)
%            Number of literals    :  562 ( 556 equ; 213 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_239,plain,
    op1(op1(e13,e13),e13) = e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_239) ).

cnf(i_0_240,plain,
    op1(e13,e13) = e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_240) ).

cnf(i_0_241,plain,
    op1(op1(e13,e13),op1(op1(e13,e13),e13)) = e10,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_241) ).

cnf(i_0_242,plain,
    op2(op2(e23,e23),e23) = e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_242) ).

cnf(i_0_243,plain,
    op2(e23,e23) = e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_243) ).

cnf(i_0_229,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_229) ).

cnf(i_0_198,plain,
    e10 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_198) ).

cnf(i_0_111,plain,
    op1(e11,e12) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_111) ).

cnf(i_0_129,plain,
    op1(e12,e12) != op1(e11,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_129) ).

cnf(i_0_244,plain,
    op2(op2(e23,e23),op2(op2(e23,e23),e23)) = e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_244) ).

cnf(i_0_126,plain,
    op1(e10,e13) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_126) ).

cnf(i_0_124,plain,
    op1(e10,e13) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_124) ).

cnf(i_0_238,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_238) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_204) ).

cnf(i_0_159,plain,
    op2(e21,e22) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_159) ).

cnf(i_0_177,plain,
    op2(e22,e22) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_177) ).

cnf(i_0_13,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_13) ).

cnf(i_0_118,plain,
    op1(e10,e10) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_118) ).

cnf(i_0_110,plain,
    op1(e11,e11) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_110) ).

cnf(i_0_174,plain,
    op2(e21,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_174) ).

cnf(i_0_172,plain,
    op2(e23,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_172) ).

cnf(i_0_227,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12
    | op1(e12,e12) = e12
    | op1(e13,e13) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_227) ).

cnf(i_0_195,plain,
    e12 != e11,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_195) ).

cnf(i_0_112,plain,
    op1(e11,e10) != op1(e11,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_112) ).

cnf(i_0_23,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_23) ).

cnf(i_0_197,plain,
    e10 != e12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_197) ).

cnf(i_0_226,plain,
    ( op1(e10,e10) = e13
    | op1(e11,e11) = e13
    | op1(e12,e12) = e13
    | op1(e13,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_226) ).

cnf(i_0_194,plain,
    e11 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_194) ).

cnf(i_0_259,plain,
    op2(op2(e23,e23),op2(op2(e23,e23),e23)) = h4(e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_259) ).

cnf(i_0_261,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred48_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_261) ).

cnf(i_0_260,plain,
    h4(e13) = e23,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_260) ).

cnf(i_0_257,plain,
    op2(op2(e23,e23),e23) = h4(e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_257) ).

cnf(i_0_24,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10
    | op1(e13,e13) = e10 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_24) ).

cnf(i_0_128,plain,
    op1(e11,e12) != op1(e13,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_128) ).

cnf(i_0_142,plain,
    op1(e10,e10) != op1(e13,e10),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_142) ).

cnf(i_0_72,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_72) ).

cnf(i_0_176,plain,
    op2(e23,e22) != op2(e21,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_176) ).

cnf(i_0_190,plain,
    op2(e23,e20) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_190) ).

cnf(i_0_71,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_71) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_203) ).

cnf(i_0_166,plain,
    op2(e20,e23) != op2(e20,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_166) ).

cnf(i_0_61,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_61) ).

cnf(i_0_25,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_25) ).

cnf(i_0_196,plain,
    e10 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_196) ).

cnf(i_0_115,plain,
    op1(e10,e12) != op1(e10,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_115) ).

cnf(i_0_97,plain,
    op1(e13,e12) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_97) ).

cnf(i_0_43,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_43) ).

cnf(i_0_148,plain,
    op2(e23,e23) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_148) ).

cnf(i_0_158,plain,
    op2(e21,e23) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_158) ).

cnf(i_0_2824,plain,
    ( epred48_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_2824) ).

cnf(i_0_258,plain,
    op2(e23,e23) = h4(e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_258) ).

cnf(i_0_29,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_29) ).

cnf(i_0_35,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_35) ).

cnf(i_0_105,plain,
    op1(e12,e12) != op1(e12,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_105) ).

cnf(i_0_107,plain,
    op1(e12,e10) != op1(e12,e12),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_107) ).

cnf(i_0_98,plain,
    op1(e13,e11) != op1(e13,e13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_98) ).

cnf(i_0_26,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_26) ).

cnf(i_0_193,plain,
    e12 != e13,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_193) ).

cnf(i_0_52,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_52) ).

cnf(i_0_145,plain,
    op2(e23,e23) != op2(e23,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_145) ).

cnf(i_0_236,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e21) = e22
    | op2(e22,e22) = e22
    | op2(e23,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_236) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_201) ).

cnf(i_0_235,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e21) = e23
    | op2(e22,e22) = e23
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_235) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_200) ).

cnf(i_0_38,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_38) ).

cnf(i_0_37,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_37) ).

cnf(i_0_135,plain,
    op1(e12,e11) != op1(e11,e11),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_135) ).

cnf(i_0_73,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_73) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_202) ).

cnf(i_0_163,plain,
    op2(e20,e23) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_163) ).

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-xai_7q2n/lgb.p',i_0_77) ).

cnf(i_0_149,plain,
    op2(e23,e22) != op2(e23,e20),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_149) ).

cnf(i_0_146,plain,
    op2(e23,e23) != op2(e23,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_146) ).

cnf(i_0_173,plain,
    op2(e22,e23) != op2(e20,e23),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_173) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_199) ).

cnf(i_0_92,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_92) ).

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-xai_7q2n/lgb.p',i_0_85) ).

cnf(i_0_165,plain,
    op2(e20,e22) != op2(e20,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_165) ).

cnf(i_0_74,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_74) ).

cnf(i_0_183,plain,
    op2(e22,e21) != op2(e21,e21),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_183) ).

cnf(i_0_86,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_86) ).

cnf(i_0_179,plain,
    op2(e22,e22) != op2(e20,e22),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xai_7q2n/lgb.p',i_0_179) ).

cnf(c_0_2907,plain,
    op1(op1(e13,e13),e13) = e12,
    i_0_239 ).

cnf(c_0_2908,plain,
    op1(e13,e13) = e11,
    i_0_240 ).

cnf(c_0_2909,plain,
    op1(op1(e13,e13),op1(op1(e13,e13),e13)) = e10,
    i_0_241 ).

cnf(c_0_2910,plain,
    op1(e11,e13) = e12,
    inference(rw,[status(thm)],[c_0_2907,c_0_2908]) ).

cnf(c_0_2911,plain,
    op2(op2(e23,e23),e23) = e22,
    i_0_242 ).

cnf(c_0_2912,plain,
    op2(e23,e23) = e21,
    i_0_243 ).

cnf(c_0_2913,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e10
    | op1(e12,e12) = e10
    | op1(e13,e13) = e10 ),
    i_0_229 ).

cnf(c_0_2914,plain,
    e10 != e11,
    i_0_198 ).

cnf(c_0_2915,plain,
    op1(e11,e12) != op1(e11,e11),
    i_0_111 ).

cnf(c_0_2916,plain,
    op1(e11,e12) = e10,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2909,c_0_2908]),c_0_2908]),c_0_2910]) ).

cnf(c_0_2917,plain,
    op1(e12,e12) != op1(e11,e12),
    i_0_129 ).

cnf(c_0_2918,plain,
    op2(op2(e23,e23),op2(op2(e23,e23),e23)) = e20,
    i_0_244 ).

cnf(c_0_2919,plain,
    op2(e21,e23) = e22,
    inference(rw,[status(thm)],[c_0_2911,c_0_2912]) ).

cnf(c_0_2920,plain,
    op1(e10,e13) != op1(e11,e13),
    i_0_126 ).

cnf(c_0_2921,plain,
    op1(e10,e13) != op1(e13,e13),
    i_0_124 ).

cnf(c_0_2922,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e10
    | op1(e12,e12) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2913,c_0_2908]),c_0_2914]) ).

cnf(c_0_2923,plain,
    op1(e11,e11) != e10,
    inference(rw,[status(thm)],[c_0_2915,c_0_2916]) ).

cnf(c_0_2924,plain,
    op1(e12,e12) != e10,
    inference(rw,[status(thm)],[c_0_2917,c_0_2916]) ).

cnf(c_0_2925,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e20
    | op2(e22,e22) = e20
    | op2(e23,e23) = e20 ),
    i_0_238 ).

cnf(c_0_2926,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_2927,plain,
    op2(e21,e22) != op2(e21,e21),
    i_0_159 ).

cnf(c_0_2928,plain,
    op2(e21,e22) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2918,c_0_2912]),c_0_2912]),c_0_2919]) ).

cnf(c_0_2929,plain,
    op2(e22,e22) != op2(e21,e22),
    i_0_177 ).

cnf(c_0_2930,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    i_0_13 ).

cnf(c_0_2931,plain,
    op1(e10,e13) != e12,
    inference(rw,[status(thm)],[c_0_2920,c_0_2910]) ).

cnf(c_0_2932,plain,
    op1(e10,e13) != e11,
    inference(rw,[status(thm)],[c_0_2921,c_0_2908]) ).

cnf(c_0_2933,plain,
    op1(e10,e10) != op1(e10,e13),
    i_0_118 ).

cnf(c_0_2934,plain,
    op1(e10,e10) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_2922,c_0_2923]),c_0_2924]) ).

cnf(c_0_2935,plain,
    op1(e11,e11) != op1(e11,e13),
    i_0_110 ).

cnf(c_0_2936,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e20
    | op2(e22,e22) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2925,c_0_2912]),c_0_2926]) ).

cnf(c_0_2937,plain,
    op2(e21,e21) != e20,
    inference(rw,[status(thm)],[c_0_2927,c_0_2928]) ).

cnf(c_0_2938,plain,
    op2(e22,e22) != e20,
    inference(rw,[status(thm)],[c_0_2929,c_0_2928]) ).

cnf(c_0_2939,plain,
    op2(e21,e23) != op2(e20,e23),
    i_0_174 ).

cnf(c_0_2940,plain,
    op2(e23,e23) != op2(e20,e23),
    i_0_172 ).

cnf(c_0_2941,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_2930,c_0_2931]),c_0_2932]) ).

cnf(c_0_2942,plain,
    op1(e10,e13) != e10,
    inference(rw,[status(thm)],[c_0_2933,c_0_2934]) ).

cnf(c_0_2943,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e11) = e12
    | op1(e12,e12) = e12
    | op1(e13,e13) = e12 ),
    i_0_227 ).

cnf(c_0_2944,plain,
    e12 != e11,
    i_0_195 ).

cnf(c_0_2945,plain,
    op1(e11,e11) != e12,
    inference(rw,[status(thm)],[c_0_2935,c_0_2910]) ).

cnf(c_0_2946,plain,
    op1(e11,e10) != op1(e11,e13),
    i_0_112 ).

cnf(c_0_2947,plain,
    ( op1(e10,e13) = e10
    | op1(e11,e13) = e10
    | op1(e12,e13) = e10
    | op1(e13,e13) = e10 ),
    i_0_23 ).

cnf(c_0_2948,plain,
    e10 != e12,
    i_0_197 ).

cnf(c_0_2949,plain,
    ( op1(e10,e10) = e13
    | op1(e11,e11) = e13
    | op1(e12,e12) = e13
    | op1(e13,e13) = e13 ),
    i_0_226 ).

cnf(c_0_2950,plain,
    e11 != e13,
    i_0_194 ).

cnf(c_0_2951,plain,
    op2(op2(e23,e23),op2(op2(e23,e23),e23)) = h4(e10),
    i_0_259 ).

cnf(c_0_2952,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred48_0 ),
    i_0_261 ).

cnf(c_0_2953,plain,
    h4(e13) = e23,
    i_0_260 ).

cnf(c_0_2954,plain,
    op2(op2(e23,e23),e23) = h4(e12),
    i_0_257 ).

cnf(c_0_2955,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10
    | op1(e13,e13) = e10 ),
    i_0_24 ).

cnf(c_0_2956,plain,
    op1(e11,e12) != op1(e13,e12),
    i_0_128 ).

cnf(c_0_2957,plain,
    op1(e10,e10) != op1(e13,e10),
    i_0_142 ).

cnf(c_0_2958,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20
    | op2(e23,e23) = e20 ),
    i_0_72 ).

cnf(c_0_2959,plain,
    op2(e23,e22) != op2(e21,e22),
    i_0_176 ).

cnf(c_0_2960,plain,
    op2(e23,e20) != op2(e20,e20),
    i_0_190 ).

cnf(c_0_2961,plain,
    op2(e20,e20) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_2936,c_0_2937]),c_0_2938]) ).

cnf(c_0_2962,plain,
    ( op2(e20,e23) = e20
    | op2(e21,e23) = e20
    | op2(e22,e23) = e20
    | op2(e23,e23) = e20 ),
    i_0_71 ).

cnf(c_0_2963,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_2964,plain,
    op2(e20,e23) != op2(e20,e20),
    i_0_166 ).

cnf(c_0_2965,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    i_0_61 ).

cnf(c_0_2966,plain,
    op2(e20,e23) != e22,
    inference(rw,[status(thm)],[c_0_2939,c_0_2919]) ).

cnf(c_0_2967,plain,
    op2(e20,e23) != e21,
    inference(rw,[status(thm)],[c_0_2940,c_0_2912]) ).

cnf(c_0_2968,plain,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    i_0_25 ).

cnf(c_0_2969,plain,
    e10 != e13,
    i_0_196 ).

cnf(c_0_2970,plain,
    op1(e10,e12) != op1(e10,e13),
    i_0_115 ).

cnf(c_0_2971,plain,
    op1(e10,e13) = e13,
    inference(sr,[status(thm)],[c_0_2941,c_0_2942]) ).

cnf(c_0_2972,plain,
    op1(e13,e12) != op1(e13,e13),
    i_0_97 ).

cnf(c_0_2973,plain,
    ( op1(e10,e10) = e12
    | op1(e12,e12) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2943,c_0_2908]),c_0_2944]),c_0_2945]) ).

cnf(c_0_2974,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    i_0_43 ).

cnf(c_0_2975,plain,
    op1(e11,e10) != e12,
    inference(rw,[status(thm)],[c_0_2946,c_0_2910]) ).

cnf(c_0_2976,plain,
    ( op1(e10,e13) = e10
    | op1(e12,e13) = e10 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2947,c_0_2908]),c_0_2910]),c_0_2914]),c_0_2948]) ).

cnf(c_0_2977,plain,
    ( op1(e10,e10) = e13
    | op1(e11,e11) = e13
    | op1(e12,e12) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2949,c_0_2908]),c_0_2950]) ).

cnf(c_0_2978,plain,
    op2(e23,e23) != op2(e23,e20),
    i_0_148 ).

cnf(c_0_2979,plain,
    op2(e21,e23) != op2(e21,e21),
    i_0_158 ).

cnf(c_0_2980,plain,
    ( epred48_0
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e12) != e22
    | h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
    i_0_2824 ).

cnf(c_0_2981,plain,
    h4(e10) = e20,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2951,c_0_2912]),c_0_2912]),c_0_2919]),c_0_2928]) ).

cnf(c_0_2982,negated_conjecture,
    ~ epred48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2952,c_0_2953])]) ).

cnf(c_0_2983,plain,
    op2(e23,e23) = h4(e11),
    i_0_258 ).

cnf(c_0_2984,plain,
    h4(e12) = op2(e21,e23),
    inference(rw,[status(thm)],[c_0_2954,c_0_2912]) ).

cnf(c_0_2985,plain,
    ( op1(e13,e10) = e10
    | op1(e13,e11) = e10
    | op1(e13,e12) = e10 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2955,c_0_2908]),c_0_2914]) ).

cnf(c_0_2986,plain,
    op1(e13,e12) != e10,
    inference(rw,[status(thm)],[c_0_2956,c_0_2916]) ).

cnf(c_0_2987,plain,
    op1(e13,e10) != e10,
    inference(rw,[status(thm)],[c_0_2957,c_0_2934]) ).

cnf(c_0_2988,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e21) = e20
    | op2(e23,e22) = e20 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2958,c_0_2912]),c_0_2926]) ).

cnf(c_0_2989,plain,
    op2(e23,e22) != e20,
    inference(rw,[status(thm)],[c_0_2959,c_0_2928]) ).

cnf(c_0_2990,plain,
    op2(e23,e20) != e20,
    inference(rw,[status(thm)],[c_0_2960,c_0_2961]) ).

cnf(c_0_2991,plain,
    ( op2(e20,e23) = e20
    | op2(e22,e23) = e20 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2962,c_0_2912]),c_0_2919]),c_0_2926]),c_0_2963]) ).

cnf(c_0_2992,plain,
    op2(e20,e23) != e20,
    inference(rw,[status(thm)],[c_0_2964,c_0_2961]) ).

cnf(c_0_2993,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_2965,c_0_2966]),c_0_2967]) ).

cnf(c_0_2994,plain,
    ( op1(e10,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2968,c_0_2916]),c_0_2969]) ).

cnf(c_0_2995,plain,
    op1(e10,e12) != e13,
    inference(rw,[status(thm)],[c_0_2970,c_0_2971]) ).

cnf(c_0_2996,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    i_0_29 ).

cnf(c_0_2997,plain,
    op1(e13,e12) != e11,
    inference(rw,[status(thm)],[c_0_2972,c_0_2908]) ).

cnf(c_0_2998,plain,
    ( op1(e10,e11) = e12
    | op1(e11,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    i_0_35 ).

cnf(c_0_2999,plain,
    op1(e12,e12) != op1(e12,e11),
    i_0_105 ).

cnf(c_0_3000,plain,
    op1(e12,e12) = e12,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2934,c_0_2973]),c_0_2948]) ).

cnf(c_0_3001,plain,
    ( op1(e10,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    inference(sr,[status(thm)],[c_0_2974,c_0_2975]) ).

cnf(c_0_3002,plain,
    op1(e12,e10) != op1(e12,e12),
    i_0_107 ).

cnf(c_0_3003,plain,
    op1(e13,e11) != op1(e13,e13),
    i_0_98 ).

cnf(c_0_3004,plain,
    ( op1(e12,e10) = e13
    | op1(e12,e11) = e13
    | op1(e12,e12) = e13
    | op1(e12,e13) = e13 ),
    i_0_26 ).

cnf(c_0_3005,plain,
    op1(e12,e13) = e10,
    inference(sr,[status(thm)],[c_0_2976,c_0_2942]) ).

cnf(c_0_3006,plain,
    ( op1(e12,e12) = e13
    | op1(e11,e11) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2977,c_0_2934]),c_0_2969]) ).

cnf(c_0_3007,plain,
    e12 != e13,
    i_0_193 ).

cnf(c_0_3008,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e21
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    i_0_52 ).

cnf(c_0_3009,plain,
    op2(e23,e20) != e21,
    inference(rw,[status(thm)],[c_0_2978,c_0_2912]) ).

cnf(c_0_3010,plain,
    op2(e23,e23) != op2(e23,e22),
    i_0_145 ).

cnf(c_0_3011,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e21) = e22
    | op2(e22,e22) = e22
    | op2(e23,e23) = e22 ),
    i_0_236 ).

cnf(c_0_3012,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_3013,plain,
    op2(e21,e21) != e22,
    inference(rw,[status(thm)],[c_0_2979,c_0_2919]) ).

cnf(c_0_3014,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e21) = e23
    | op2(e22,e22) = e23
    | op2(e23,e23) = e23 ),
    i_0_235 ).

cnf(c_0_3015,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_3016,plain,
    ( op2(h4(e12),h4(e12)) != h4(op1(e12,e12))
    | op2(h4(e12),h4(e11)) != h4(op1(e12,e11))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | h4(op1(e13,e12)) != op2(e23,h4(e12))
    | h4(op1(e13,e11)) != op2(e23,h4(e11))
    | h4(op1(e12,e13)) != op2(h4(e12),e23)
    | h4(op1(e12,e10)) != op2(h4(e12),e20)
    | h4(op1(e11,e10)) != op2(h4(e11),e20)
    | h4(op1(e10,e12)) != op2(e20,h4(e12))
    | h4(op1(e10,e11)) != op2(e20,h4(e11))
    | h4(op1(e13,e10)) != op2(e23,e20)
    | h4(op1(e10,e13)) != op2(e20,e23)
    | h4(op1(e10,e10)) != op2(e20,e20)
    | op2(h4(e11),e23) != h4(e12)
    | op2(h4(e11),h4(e12)) != e20
    | h4(e12) != e22
    | h4(e11) != e21
    | h4(e11) != e21 ),
    inference(sr,[status(thm)],[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)],[c_0_2980,c_0_2981]),c_0_2953]),c_0_2953]),c_0_2912]),c_0_2908]),c_0_2953]),c_0_2953]),c_0_2953]),c_0_2981]),c_0_2953]),c_0_2981]),c_0_2953]),c_0_2910]),c_0_2916]),c_0_2981]),c_0_2981]),c_0_2981]),c_0_2953]),c_0_2981]),c_0_2981]),c_0_2981]),c_0_2981])]),c_0_2982]) ).

cnf(c_0_3017,plain,
    h4(e11) = e21,
    inference(rw,[status(thm)],[c_0_2983,c_0_2912]) ).

cnf(c_0_3018,plain,
    h4(e12) = e22,
    inference(rw,[status(thm)],[c_0_2984,c_0_2919]) ).

cnf(c_0_3019,plain,
    op1(e13,e11) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_2985,c_0_2986]),c_0_2987]) ).

cnf(c_0_3020,plain,
    op2(e23,e21) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_2988,c_0_2989]),c_0_2990]) ).

cnf(c_0_3021,plain,
    op2(e22,e23) = e20,
    inference(sr,[status(thm)],[c_0_2991,c_0_2992]) ).

cnf(c_0_3022,plain,
    op2(e20,e23) = e23,
    inference(sr,[status(thm)],[c_0_2993,c_0_2992]) ).

cnf(c_0_3023,plain,
    ( op1(e13,e12) = e13
    | op1(e12,e12) = e13 ),
    inference(sr,[status(thm)],[c_0_2994,c_0_2995]) ).

cnf(c_0_3024,plain,
    ( op1(e10,e12) = e11
    | op1(e12,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_2996,c_0_2916]),c_0_2997]),c_0_2914]) ).

cnf(c_0_3025,plain,
    ( op1(e10,e11) = e12
    | op1(e12,e11) = e12
    | op1(e13,e11) = e12 ),
    inference(sr,[status(thm)],[c_0_2998,c_0_2945]) ).

cnf(c_0_3026,plain,
    op1(e12,e11) != e12,
    inference(rw,[status(thm)],[c_0_2999,c_0_3000]) ).

cnf(c_0_3027,plain,
    ( op1(e13,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3001,c_0_2934]),c_0_2948]) ).

cnf(c_0_3028,plain,
    op1(e12,e10) != e12,
    inference(rw,[status(thm)],[c_0_3002,c_0_3000]) ).

cnf(c_0_3029,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11
    | op1(e11,e12) = e11
    | op1(e11,e13) = e11 ),
    i_0_38 ).

cnf(c_0_3030,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11
    | op1(e13,e11) = e11 ),
    i_0_37 ).

cnf(c_0_3031,plain,
    op1(e13,e11) != e11,
    inference(rw,[status(thm)],[c_0_3003,c_0_2908]) ).

cnf(c_0_3032,plain,
    ( op1(e12,e12) = e13
    | op1(e12,e11) = e13
    | op1(e12,e10) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3004,c_0_3005]),c_0_2969]) ).

cnf(c_0_3033,plain,
    op1(e12,e11) != op1(e11,e11),
    i_0_135 ).

cnf(c_0_3034,plain,
    op1(e11,e11) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3006,c_0_3000]),c_0_3007]) ).

cnf(c_0_3035,plain,
    ( op2(e23,e20) = e20
    | op2(e23,e20) = e22
    | op2(e23,e20) = e23 ),
    inference(sr,[status(thm)],[c_0_3008,c_0_3009]) ).

cnf(c_0_3036,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    i_0_73 ).

cnf(c_0_3037,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_3038,plain,
    op2(e20,e23) != op2(e20,e22),
    i_0_163 ).

cnf(c_0_3039,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21 ),
    i_0_77 ).

cnf(c_0_3040,plain,
    op2(e23,e22) != e21,
    inference(rw,[status(thm)],[c_0_3010,c_0_2912]) ).

cnf(c_0_3041,plain,
    ( op2(e20,e20) = e22
    | op2(e22,e22) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3011,c_0_2912]),c_0_3012]),c_0_3013]) ).

cnf(c_0_3042,plain,
    ( op2(e20,e20) = e23
    | op2(e21,e21) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3014,c_0_2912]),c_0_3015]) ).

cnf(c_0_3043,plain,
    ( h4(op1(e12,e12)) != op2(e22,e22)
    | h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e11,e11)) != op2(e21,e21)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e11,e10)) != op2(e21,e20)
    | h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e10,e11)) != op2(e20,e21)
    | h4(op1(e13,e10)) != op2(e23,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(cn,[status(thm)],[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)],[c_0_3016,c_0_3017]),c_0_3017]),c_0_3017]),c_0_3017]),c_0_3017]),c_0_3017]),c_0_3017]),c_0_2919]),c_0_3017]),c_0_3017]),c_0_3017])])]),c_0_3018]),c_0_3018]),c_0_3018]),c_0_3018]),c_0_3019]),c_0_2981]),c_0_3020]),c_0_3005]),c_0_2981]),c_0_3018]),c_0_3021]),c_0_3018]),c_0_3018]),c_0_2971]),c_0_2953]),c_0_3022]),c_0_2934]),c_0_2981]),c_0_2961]),c_0_3018]),c_0_3018]),c_0_2928])]) ).

cnf(c_0_3044,plain,
    op1(e13,e12) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3023,c_0_3000]),c_0_3007]) ).

cnf(c_0_3045,plain,
    op1(e10,e12) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3024,c_0_3000]),c_0_2944]) ).

cnf(c_0_3046,plain,
    op1(e10,e11) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_3025,c_0_3026]),c_0_3019]),c_0_2948]) ).

cnf(c_0_3047,plain,
    op1(e13,e10) = e12,
    inference(sr,[status(thm)],[c_0_3027,c_0_3028]) ).

cnf(c_0_3048,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e11) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3029,c_0_2910]),c_0_2916]),c_0_2944]),c_0_2914]) ).

cnf(c_0_3049,plain,
    ( op1(e10,e11) = e11
    | op1(e11,e11) = e11
    | op1(e12,e11) = e11 ),
    inference(sr,[status(thm)],[c_0_3030,c_0_3031]) ).

cnf(c_0_3050,plain,
    ( op1(e12,e11) = e13
    | op1(e12,e10) = e13 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3032,c_0_3000]),c_0_3007]) ).

cnf(c_0_3051,plain,
    op1(e12,e11) != e13,
    inference(rw,[status(thm)],[c_0_3033,c_0_3034]) ).

cnf(c_0_3052,plain,
    op2(e23,e22) != op2(e23,e20),
    i_0_149 ).

cnf(c_0_3053,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e20) = e22 ),
    inference(sr,[status(thm)],[c_0_3035,c_0_2990]) ).

cnf(c_0_3054,plain,
    ( op2(e20,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3036,c_0_2928]),c_0_3037]) ).

cnf(c_0_3055,plain,
    op2(e20,e22) != e23,
    inference(rw,[status(thm)],[c_0_3038,c_0_3022]) ).

cnf(c_0_3056,plain,
    op2(e23,e23) != op2(e23,e21),
    i_0_146 ).

cnf(c_0_3057,plain,
    ( op2(e20,e22) = e21
    | op2(e22,e22) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3039,c_0_2928]),c_0_3040]),c_0_2926]) ).

cnf(c_0_3058,plain,
    op2(e22,e22) = e22,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2961,c_0_3041]),c_0_2963]) ).

cnf(c_0_3059,plain,
    op2(e22,e23) != op2(e20,e23),
    i_0_173 ).

cnf(c_0_3060,plain,
    ( op2(e22,e22) = e23
    | op2(e21,e21) = e23 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3042,c_0_2961]),c_0_3037]) ).

cnf(c_0_3061,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_3062,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    i_0_92 ).

cnf(c_0_3063,plain,
    ( h4(op1(e12,e11)) != op2(e22,e21)
    | h4(op1(e12,e10)) != op2(e22,e20)
    | h4(op1(e11,e10)) != op2(e21,e20)
    | op2(e22,e22) != e22
    | op2(e21,e21) != e23
    | op2(e23,e22) != e23
    | op2(e20,e22) != e21
    | op2(e20,e21) != e22
    | op2(e23,e20) != e22 ),
    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_3043,c_0_3000]),c_0_3018]),c_0_3034]),c_0_2953]),c_0_3044]),c_0_2953]),c_0_3045]),c_0_3017]),c_0_3046]),c_0_3018]),c_0_3047]),c_0_3018]) ).

cnf(c_0_3064,plain,
    op1(e11,e10) = e11,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3048,c_0_3034]),c_0_2950]) ).

cnf(c_0_3065,plain,
    op1(e12,e11) = e11,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3049,c_0_3046]),c_0_2944]),c_0_3034]),c_0_2950]) ).

cnf(c_0_3066,plain,
    op1(e12,e10) = e13,
    inference(sr,[status(thm)],[c_0_3050,c_0_3051]) ).

cnf(c_0_3067,plain,
    ( op2(e23,e20) = e22
    | op2(e23,e22) != e23 ),
    inference(spm,[status(thm)],[c_0_3052,c_0_3053]) ).

cnf(c_0_3068,plain,
    ( op2(e23,e22) = e23
    | op2(e22,e22) = e23 ),
    inference(sr,[status(thm)],[c_0_3054,c_0_3055]) ).

cnf(c_0_3069,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    i_0_85 ).

cnf(c_0_3070,plain,
    op2(e23,e21) != e21,
    inference(rw,[status(thm)],[c_0_3056,c_0_2912]) ).

cnf(c_0_3071,plain,
    op2(e20,e22) != op2(e20,e21),
    i_0_165 ).

cnf(c_0_3072,plain,
    op2(e20,e22) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3057,c_0_3058]),c_0_3012]) ).

cnf(c_0_3073,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    i_0_74 ).

cnf(c_0_3074,plain,
    op2(e22,e23) != e23,
    inference(rw,[status(thm)],[c_0_3059,c_0_3022]) ).

cnf(c_0_3075,plain,
    op2(e22,e21) != op2(e21,e21),
    i_0_183 ).

cnf(c_0_3076,plain,
    op2(e21,e21) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3060,c_0_3058]),c_0_3061]) ).

cnf(c_0_3077,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    i_0_86 ).

cnf(c_0_3078,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22 ),
    inference(sr,[status(thm)],[c_0_3062,c_0_2966]) ).

cnf(c_0_3079,plain,
    op2(e22,e22) != op2(e20,e22),
    i_0_179 ).

cnf(c_0_3080,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e20) != e23
    | op2(e21,e20) != e21
    | op2(e22,e22) != e22
    | op2(e21,e21) != e23
    | op2(e23,e22) != e23
    | op2(e20,e22) != e21
    | op2(e20,e21) != e22 ),
    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)],[c_0_3063,c_0_3064]),c_0_3017]),c_0_3065]),c_0_3017]),c_0_3066]),c_0_2953]),c_0_3067]) ).

cnf(c_0_3081,plain,
    op2(e23,e22) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3068,c_0_3058]),c_0_3061]) ).

cnf(c_0_3082,plain,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21 ),
    inference(sr,[status(thm)],[c_0_3069,c_0_3070]) ).

cnf(c_0_3083,plain,
    op2(e20,e21) != e21,
    inference(rw,[status(thm)],[c_0_3071,c_0_3072]) ).

cnf(c_0_3084,plain,
    ( op2(e22,e22) = e23
    | op2(e22,e21) = e23
    | op2(e22,e20) = e23 ),
    inference(sr,[status(thm)],[c_0_3073,c_0_3074]) ).

cnf(c_0_3085,plain,
    op2(e22,e21) != e23,
    inference(rw,[status(thm)],[c_0_3075,c_0_3076]) ).

cnf(c_0_3086,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3077,c_0_2919]),c_0_2928]),c_0_3012]),c_0_2926]) ).

cnf(c_0_3087,plain,
    ( op2(e20,e22) = e22
    | op2(e20,e21) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3078,c_0_2961]),c_0_2963]) ).

cnf(c_0_3088,plain,
    op2(e20,e22) != e22,
    inference(rw,[status(thm)],[c_0_3079,c_0_3058]) ).

cnf(c_0_3089,plain,
    ( op2(e22,e21) != e21
    | op2(e22,e20) != e23
    | op2(e21,e20) != e21
    | op2(e21,e21) != e23
    | op2(e20,e22) != e21
    | op2(e20,e21) != e22 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3080,c_0_3058])]),c_0_3081])]) ).

cnf(c_0_3090,plain,
    op2(e22,e21) = e21,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_3082,c_0_3083]),c_0_3076]),c_0_3015]) ).

cnf(c_0_3091,plain,
    op2(e22,e20) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3084,c_0_3058]),c_0_3061]),c_0_3085]) ).

cnf(c_0_3092,plain,
    op2(e21,e20) = e21,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3086,c_0_3076]),c_0_3015]) ).

cnf(c_0_3093,plain,
    op2(e20,e21) = e22,
    inference(sr,[status(thm)],[c_0_3087,c_0_3088]) ).

cnf(c_0_3094,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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3089,c_0_3076])]),c_0_3090]),c_0_3091]),c_0_3092]),c_0_3072]),c_0_3093])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG115+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 06:46:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 9.38/2.93  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.38/2.93  # No SInE strategy applied
% 9.38/2.93  # Trying AutoSched0 for 150 seconds
% 9.38/2.93  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 9.38/2.93  # and selection function SelectNewComplexAHP.
% 9.38/2.93  #
% 9.38/2.93  # Preprocessing time       : 0.036 s
% 9.38/2.93  # Presaturation interreduction done
% 9.38/2.93  
% 9.38/2.93  # Proof found!
% 9.38/2.93  # SZS status Theorem
% 9.38/2.93  # SZS output start CNFRefutation
% See solution above
% 9.38/2.93  # Training examples: 0 positive, 0 negative
% 9.38/2.93  
% 9.38/2.93  # -------------------------------------------------
% 9.38/2.93  # User time                : 0.088 s
% 9.38/2.93  # System time              : 0.008 s
% 9.38/2.93  # Total time               : 0.096 s
% 9.38/2.93  # Maximum resident set size: 7128 pages
% 9.38/2.93  
%------------------------------------------------------------------------------