TSTP Solution File: ALG121+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG121+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 15:00:23 EDT 2022

% Result   : Theorem 8.21s 2.52s
% Output   : CNFRefutation 8.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   75
% Syntax   : Number of clauses     :  234 ( 155 unt;  65 nHn; 234 RR)
%            Number of literals    :  469 ( 463 equ; 175 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_263,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_263) ).

cnf(i_0_264,plain,
    op2(e23,e23) = e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_264) ).

cnf(i_0_260,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_260) ).

cnf(i_0_261,plain,
    op1(e13,e13) = e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_261) ).

cnf(i_0_245,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e23) != e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_245) ).

cnf(i_0_262,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_262) ).

cnf(i_0_226,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e13) != e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_226) ).

cnf(i_0_259,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = e12,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_259) ).

cnf(i_0_91,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_91) ).

cnf(i_0_199,plain,
    e23 != e22,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_199) ).

cnf(i_0_201,plain,
    e22 != e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_201) ).

cnf(i_0_160,plain,
    op2(e21,e23) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_160) ).

cnf(i_0_43,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_43) ).

cnf(i_0_193,plain,
    e12 != e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_193) ).

cnf(i_0_195,plain,
    e12 != e11,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_195) ).

cnf(i_0_112,plain,
    op1(e11,e10) != op1(e11,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_112) ).

cnf(i_0_188,plain,
    op2(e23,e20) != op2(e21,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_188) ).

cnf(i_0_258,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_258) ).

cnf(i_0_202,plain,
    e23 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_202) ).

cnf(i_0_204,plain,
    e21 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_204) ).

cnf(i_0_155,plain,
    op2(e22,e22) != op2(e22,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_155) ).

cnf(i_0_239,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_239) ).

cnf(i_0_196,plain,
    e10 != e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_196) ).

cnf(i_0_198,plain,
    e11 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_198) ).

cnf(i_0_107,plain,
    op1(e12,e12) != op1(e12,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_107) ).

cnf(i_0_82,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_82) ).

cnf(i_0_140,plain,
    op1(e11,e10) != op1(e13,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_140) ).

cnf(i_0_98,plain,
    op1(e13,e11) != op1(e13,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_98) ).

cnf(i_0_124,plain,
    op1(e10,e13) != op1(e13,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_124) ).

cnf(i_0_187,plain,
    op2(e23,e20) != op2(e22,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_187) ).

cnf(i_0_200,plain,
    e23 != e21,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_200) ).

cnf(i_0_69,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_69) ).

cnf(i_0_166,plain,
    op2(e20,e23) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_166) ).

cnf(i_0_277,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = h4(e12),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_277) ).

cnf(i_0_281,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred14_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_281) ).

cnf(i_0_280,plain,
    h4(e13) = e23,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_280) ).

cnf(i_0_278,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h4(e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_278) ).

cnf(i_0_12,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_12) ).

cnf(i_0_144,plain,
    op1(e11,e10) != op1(e10,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_144) ).

cnf(i_0_3,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_3) ).

cnf(i_0_102,plain,
    op1(e13,e11) != op1(e13,e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_102) ).

cnf(i_0_134,plain,
    op1(e11,e11) != op1(e13,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_134) ).

cnf(i_0_13,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_13) ).

cnf(i_0_118,plain,
    op1(e10,e10) != op1(e10,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_118) ).

cnf(i_0_126,plain,
    op1(e11,e13) != op1(e10,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_126) ).

cnf(i_0_237,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e10) != e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_237) ).

cnf(i_0_34,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e11) = e13
    | op1(e11,e12) = e13
    | op1(e11,e13) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_34) ).

cnf(i_0_22,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_22) ).

cnf(i_0_194,plain,
    e11 != e13,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_194) ).

cnf(i_0_70,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_70) ).

cnf(i_0_182,plain,
    op2(e23,e21) != op2(e21,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_182) ).

cnf(i_0_21,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_21) ).

cnf(i_0_121,plain,
    op1(e12,e13) != op1(e13,e13),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_121) ).

cnf(i_0_169,plain,
    op2(e23,e23) != op2(e22,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_169) ).

cnf(i_0_74,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_74) ).

cnf(i_0_177,plain,
    op2(e22,e22) != op2(e21,e22),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_177) ).

cnf(i_0_146,plain,
    op2(e23,e23) != op2(e23,e21),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_146) ).

cnf(i_0_172,plain,
    op2(e23,e23) != op2(e20,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_172) ).

cnf(i_0_762,plain,
    ( epred14_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/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_762) ).

cnf(i_0_279,plain,
    op2(e23,e23) = h4(e10),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_279) ).

cnf(i_0_256,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e20) != e21 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_256) ).

cnf(i_0_33,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_33) ).

cnf(i_0_44,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_44) ).

cnf(i_0_92,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_92) ).

cnf(i_0_174,plain,
    op2(e21,e23) != op2(e20,e23),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_174) ).

cnf(i_0_32,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_32) ).

cnf(i_0_137,plain,
    op1(e12,e11) != op1(e10,e11),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_137) ).

cnf(i_0_80,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_80) ).

cnf(i_0_60,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_60) ).

cnf(i_0_192,plain,
    op2(e21,e20) != op2(e20,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_192) ).

cnf(i_0_51,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_51) ).

cnf(i_0_150,plain,
    op2(e23,e21) != op2(e23,e20),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_150) ).

cnf(i_0_61,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_61) ).

cnf(i_0_197,plain,
    e12 != e10,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_197) ).

cnf(i_0_203,plain,
    e22 != e20,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-p7o2uw3a/lgb.p',i_0_203) ).

cnf(c_0_838,plain,
    op2(op2(e23,e23),op2(e23,e23)) = e21,
    i_0_263 ).

cnf(c_0_839,plain,
    op2(e23,e23) = e20,
    i_0_264 ).

cnf(c_0_840,plain,
    op1(op1(e13,e13),op1(e13,e13)) = e11,
    i_0_260 ).

cnf(c_0_841,plain,
    op1(e13,e13) = e10,
    i_0_261 ).

cnf(c_0_842,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e23) != e20 ),
    i_0_245 ).

cnf(c_0_843,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = e22,
    i_0_262 ).

cnf(c_0_844,plain,
    op2(e20,e20) = e21,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_838,c_0_839]),c_0_839]) ).

cnf(c_0_845,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e13) != e10 ),
    i_0_226 ).

cnf(c_0_846,plain,
    op1(op1(op1(e13,e13),op1(e13,e13)),e13) = e12,
    i_0_259 ).

cnf(c_0_847,plain,
    op1(e10,e10) = e11,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_840,c_0_841]),c_0_841]) ).

cnf(c_0_848,plain,
    ( op2(e20,e20) = e22
    | op2(e21,e20) = e22
    | op2(e22,e20) = e22
    | op2(e23,e20) = e22 ),
    i_0_91 ).

cnf(c_0_849,plain,
    op2(e23,e20) = e23,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_842,c_0_839])]) ).

cnf(c_0_850,plain,
    e23 != e22,
    i_0_199 ).

cnf(c_0_851,plain,
    e22 != e21,
    i_0_201 ).

cnf(c_0_852,plain,
    op2(e21,e23) != op2(e21,e20),
    i_0_160 ).

cnf(c_0_853,plain,
    op2(e21,e23) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_843,c_0_839]),c_0_839]),c_0_844]) ).

cnf(c_0_854,plain,
    ( op1(e10,e10) = e12
    | op1(e11,e10) = e12
    | op1(e12,e10) = e12
    | op1(e13,e10) = e12 ),
    i_0_43 ).

cnf(c_0_855,plain,
    op1(e13,e10) = e13,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_845,c_0_841])]) ).

cnf(c_0_856,plain,
    e12 != e13,
    i_0_193 ).

cnf(c_0_857,plain,
    e12 != e11,
    i_0_195 ).

cnf(c_0_858,plain,
    op1(e11,e10) != op1(e11,e13),
    i_0_112 ).

cnf(c_0_859,plain,
    op1(e11,e13) = e12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_846,c_0_841]),c_0_841]),c_0_847]) ).

cnf(c_0_860,plain,
    ( op2(e21,e20) = e22
    | op2(e22,e20) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_848,c_0_849]),c_0_844]),c_0_850]),c_0_851]) ).

cnf(c_0_861,plain,
    op2(e21,e20) != e22,
    inference(rw,[status(thm)],[c_0_852,c_0_853]) ).

cnf(c_0_862,plain,
    ( op1(e11,e10) = e12
    | op1(e12,e10) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_854,c_0_855]),c_0_847]),c_0_856]),c_0_857]) ).

cnf(c_0_863,plain,
    op1(e11,e10) != e12,
    inference(rw,[status(thm)],[c_0_858,c_0_859]) ).

cnf(c_0_864,plain,
    op2(e23,e20) != op2(e21,e20),
    i_0_188 ).

cnf(c_0_865,plain,
    ( op2(e20,e20) = e20
    | op2(e21,e21) = e21
    | op2(e22,e22) = e22
    | op2(e23,e23) = e23 ),
    i_0_258 ).

cnf(c_0_866,plain,
    e23 != e20,
    i_0_202 ).

cnf(c_0_867,plain,
    e21 != e20,
    i_0_204 ).

cnf(c_0_868,plain,
    op2(e22,e22) != op2(e22,e20),
    i_0_155 ).

cnf(c_0_869,plain,
    op2(e22,e20) = e22,
    inference(sr,[status(thm)],[c_0_860,c_0_861]) ).

cnf(c_0_870,plain,
    ( op1(e10,e10) = e10
    | op1(e11,e11) = e11
    | op1(e12,e12) = e12
    | op1(e13,e13) = e13 ),
    i_0_239 ).

cnf(c_0_871,plain,
    e10 != e13,
    i_0_196 ).

cnf(c_0_872,plain,
    e11 != e10,
    i_0_198 ).

cnf(c_0_873,plain,
    op1(e12,e12) != op1(e12,e10),
    i_0_107 ).

cnf(c_0_874,plain,
    op1(e12,e10) = e12,
    inference(sr,[status(thm)],[c_0_862,c_0_863]) ).

cnf(c_0_875,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23 ),
    i_0_82 ).

cnf(c_0_876,plain,
    op2(e21,e20) != e23,
    inference(rw,[status(thm)],[c_0_864,c_0_849]) ).

cnf(c_0_877,plain,
    ( op2(e21,e21) = e21
    | op2(e22,e22) = e22 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_865,c_0_839]),c_0_844]),c_0_866]),c_0_867]) ).

cnf(c_0_878,plain,
    op2(e22,e22) != e22,
    inference(rw,[status(thm)],[c_0_868,c_0_869]) ).

cnf(c_0_879,plain,
    op1(e11,e10) != op1(e13,e10),
    i_0_140 ).

cnf(c_0_880,plain,
    op1(e13,e11) != op1(e13,e13),
    i_0_98 ).

cnf(c_0_881,plain,
    ( op1(e11,e11) = e11
    | op1(e12,e12) = e12 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_870,c_0_841]),c_0_847]),c_0_871]),c_0_872]) ).

cnf(c_0_882,plain,
    op1(e12,e12) != e12,
    inference(rw,[status(thm)],[c_0_873,c_0_874]) ).

cnf(c_0_883,plain,
    op1(e10,e13) != op1(e13,e13),
    i_0_124 ).

cnf(c_0_884,plain,
    op2(e23,e20) != op2(e22,e20),
    i_0_187 ).

cnf(c_0_885,plain,
    ( op2(e21,e21) = e23
    | op2(e21,e22) = e23 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_875,c_0_853]),c_0_850]),c_0_876]) ).

cnf(c_0_886,plain,
    op2(e21,e21) = e21,
    inference(sr,[status(thm)],[c_0_877,c_0_878]) ).

cnf(c_0_887,plain,
    e23 != e21,
    i_0_200 ).

cnf(c_0_888,plain,
    ( op2(e20,e23) = e21
    | op2(e21,e23) = e21
    | op2(e22,e23) = e21
    | op2(e23,e23) = e21 ),
    i_0_69 ).

cnf(c_0_889,plain,
    op2(e20,e23) != op2(e20,e20),
    i_0_166 ).

cnf(c_0_890,plain,
    op2(op2(op2(e23,e23),op2(e23,e23)),e23) = h4(e12),
    i_0_277 ).

cnf(c_0_891,negated_conjecture,
    ( h4(e13) != e23
    | ~ epred14_0 ),
    i_0_281 ).

cnf(c_0_892,plain,
    h4(e13) = e23,
    i_0_280 ).

cnf(c_0_893,plain,
    op2(op2(e23,e23),op2(e23,e23)) = h4(e11),
    i_0_278 ).

cnf(c_0_894,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e13 ),
    i_0_12 ).

cnf(c_0_895,plain,
    op1(e11,e10) != e13,
    inference(rw,[status(thm)],[c_0_879,c_0_855]) ).

cnf(c_0_896,plain,
    op1(e11,e10) != op1(e10,e10),
    i_0_144 ).

cnf(c_0_897,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    i_0_3 ).

cnf(c_0_898,plain,
    op1(e13,e11) != e10,
    inference(rw,[status(thm)],[c_0_880,c_0_841]) ).

cnf(c_0_899,plain,
    op1(e13,e11) != op1(e13,e10),
    i_0_102 ).

cnf(c_0_900,plain,
    op1(e11,e11) != op1(e13,e11),
    i_0_134 ).

cnf(c_0_901,plain,
    op1(e11,e11) = e11,
    inference(sr,[status(thm)],[c_0_881,c_0_882]) ).

cnf(c_0_902,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    i_0_13 ).

cnf(c_0_903,plain,
    op1(e10,e13) != e10,
    inference(rw,[status(thm)],[c_0_883,c_0_841]) ).

cnf(c_0_904,plain,
    op1(e10,e10) != op1(e10,e13),
    i_0_118 ).

cnf(c_0_905,plain,
    op1(e11,e13) != op1(e10,e13),
    i_0_126 ).

cnf(c_0_906,plain,
    ( op1(e10,e11) = e10
    | op1(e10,e10) != e11 ),
    i_0_237 ).

cnf(c_0_907,plain,
    ( op1(e11,e10) = e13
    | op1(e11,e11) = e13
    | op1(e11,e12) = e13
    | op1(e11,e13) = e13 ),
    i_0_34 ).

cnf(c_0_908,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11
    | op1(e13,e13) = e11 ),
    i_0_22 ).

cnf(c_0_909,plain,
    e11 != e13,
    i_0_194 ).

cnf(c_0_910,plain,
    ( op2(e23,e20) = e21
    | op2(e23,e21) = e21
    | op2(e23,e22) = e21
    | op2(e23,e23) = e21 ),
    i_0_70 ).

cnf(c_0_911,plain,
    op2(e23,e21) != op2(e21,e21),
    i_0_182 ).

cnf(c_0_912,plain,
    ( op1(e10,e13) = e11
    | op1(e11,e13) = e11
    | op1(e12,e13) = e11
    | op1(e13,e13) = e11 ),
    i_0_21 ).

cnf(c_0_913,plain,
    op1(e12,e13) != op1(e13,e13),
    i_0_121 ).

cnf(c_0_914,plain,
    op2(e23,e23) != op2(e22,e23),
    i_0_169 ).

cnf(c_0_915,plain,
    ( op2(e22,e20) = e23
    | op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    i_0_74 ).

cnf(c_0_916,plain,
    op2(e22,e20) != e23,
    inference(rw,[status(thm)],[c_0_884,c_0_849]) ).

cnf(c_0_917,plain,
    op2(e22,e22) != op2(e21,e22),
    i_0_177 ).

cnf(c_0_918,plain,
    op2(e21,e22) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_885,c_0_886]),c_0_887]) ).

cnf(c_0_919,plain,
    ( op2(e22,e23) = e21
    | op2(e20,e23) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_888,c_0_839]),c_0_853]),c_0_867]),c_0_851]) ).

cnf(c_0_920,plain,
    op2(e20,e23) != e21,
    inference(rw,[status(thm)],[c_0_889,c_0_844]) ).

cnf(c_0_921,plain,
    op2(e23,e23) != op2(e23,e21),
    i_0_146 ).

cnf(c_0_922,plain,
    op2(e23,e23) != op2(e20,e23),
    i_0_172 ).

cnf(c_0_923,plain,
    ( epred14_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_762 ).

cnf(c_0_924,plain,
    h4(e12) = e22,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_890,c_0_839]),c_0_839]),c_0_844]),c_0_853]) ).

cnf(c_0_925,negated_conjecture,
    ~ epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_891,c_0_892])]) ).

cnf(c_0_926,plain,
    op2(e23,e23) = h4(e10),
    i_0_279 ).

cnf(c_0_927,plain,
    h4(e11) = op2(e20,e20),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_893,c_0_839]),c_0_839]) ).

cnf(c_0_928,plain,
    ( op2(e20,e21) = e20
    | op2(e20,e20) != e21 ),
    i_0_256 ).

cnf(c_0_929,plain,
    ( op1(e11,e10) = e11
    | op1(e11,e10) = e12
    | op1(e11,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_894,c_0_895]) ).

cnf(c_0_930,plain,
    op1(e11,e10) != e11,
    inference(rw,[status(thm)],[c_0_896,c_0_847]) ).

cnf(c_0_931,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference(sr,[status(thm)],[c_0_897,c_0_898]) ).

cnf(c_0_932,plain,
    op1(e13,e11) != e13,
    inference(rw,[status(thm)],[c_0_899,c_0_855]) ).

cnf(c_0_933,plain,
    op1(e13,e11) != e11,
    inference(rw,[status(thm)],[c_0_900,c_0_901]) ).

cnf(c_0_934,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13 ),
    inference(sr,[status(thm)],[c_0_902,c_0_903]) ).

cnf(c_0_935,plain,
    op1(e10,e13) != e11,
    inference(rw,[status(thm)],[c_0_904,c_0_847]) ).

cnf(c_0_936,plain,
    op1(e10,e13) != e12,
    inference(rw,[status(thm)],[c_0_905,c_0_859]) ).

cnf(c_0_937,plain,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    i_0_33 ).

cnf(c_0_938,plain,
    op1(e10,e11) = e10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_906,c_0_847])]) ).

cnf(c_0_939,plain,
    ( op1(e11,e11) = e13
    | op1(e11,e12) = e13 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_907,c_0_859]),c_0_856]),c_0_895]) ).

cnf(c_0_940,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_908,c_0_841]),c_0_855]),c_0_872]),c_0_909]) ).

cnf(c_0_941,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e22) = e21 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_910,c_0_839]),c_0_849]),c_0_867]),c_0_887]) ).

cnf(c_0_942,plain,
    op2(e23,e21) != e21,
    inference(rw,[status(thm)],[c_0_911,c_0_886]) ).

cnf(c_0_943,plain,
    ( op1(e12,e13) = e11
    | op1(e10,e13) = e11 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_912,c_0_841]),c_0_859]),c_0_872]),c_0_857]) ).

cnf(c_0_944,plain,
    ( op1(e10,e10) = e12
    | op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    i_0_44 ).

cnf(c_0_945,plain,
    ( op2(e20,e20) = e22
    | op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    i_0_92 ).

cnf(c_0_946,plain,
    op2(e21,e23) != op2(e20,e23),
    i_0_174 ).

cnf(c_0_947,plain,
    ( op1(e12,e10) = e10
    | op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e13) = e10 ),
    i_0_32 ).

cnf(c_0_948,plain,
    op1(e12,e13) != e10,
    inference(rw,[status(thm)],[c_0_913,c_0_841]) ).

cnf(c_0_949,plain,
    op1(e12,e11) != op1(e10,e11),
    i_0_137 ).

cnf(c_0_950,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e23) = e20 ),
    i_0_80 ).

cnf(c_0_951,plain,
    op2(e22,e23) != e20,
    inference(rw,[status(thm)],[c_0_914,c_0_839]) ).

cnf(c_0_952,plain,
    ( op2(e22,e21) = e23
    | op2(e22,e22) = e23
    | op2(e22,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_915,c_0_916]) ).

cnf(c_0_953,plain,
    op2(e22,e22) != e23,
    inference(rw,[status(thm)],[c_0_917,c_0_918]) ).

cnf(c_0_954,plain,
    op2(e22,e23) = e21,
    inference(sr,[status(thm)],[c_0_919,c_0_920]) ).

cnf(c_0_955,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    i_0_60 ).

cnf(c_0_956,plain,
    op2(e21,e20) != op2(e20,e20),
    i_0_192 ).

cnf(c_0_957,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    i_0_51 ).

cnf(c_0_958,plain,
    op2(e23,e21) != e20,
    inference(rw,[status(thm)],[c_0_921,c_0_839]) ).

cnf(c_0_959,plain,
    op2(e23,e21) != op2(e23,e20),
    i_0_150 ).

cnf(c_0_960,plain,
    ( op2(e20,e23) = e20
    | op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    i_0_61 ).

cnf(c_0_961,plain,
    op2(e20,e23) != e20,
    inference(rw,[status(thm)],[c_0_922,c_0_839]) ).

cnf(c_0_962,plain,
    ( op2(h4(e10),h4(e11)) != h4(op1(e10,e11))
    | op2(h4(e11),h4(e10)) != h4(op1(e11,e10))
    | op2(h4(e11),h4(e11)) != h4(op1(e11,e11))
    | h4(op1(e13,e11)) != op2(e23,h4(e11))
    | h4(op1(e10,e13)) != op2(h4(e10),e23)
    | h4(op1(e10,e12)) != op2(h4(e10),e22)
    | h4(op1(e12,e10)) != op2(e22,h4(e10))
    | h4(op1(e12,e11)) != op2(e22,h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),e22)
    | h4(op1(e13,e12)) != op2(e23,e22)
    | op2(h4(e10),h4(e10)) != h4(e11)
    | h4(op1(e12,e13)) != op2(e22,e23)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | op2(e23,h4(e10)) != e23
    | op2(h4(e11),e23) != e22
    | h4(e10) != e20
    | h4(e11) != e21
    | h4(e10) != e20 ),
    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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_923,c_0_924]),c_0_892]),c_0_892]),c_0_839]),c_0_841]),c_0_892]),c_0_855]),c_0_892]),c_0_892]),c_0_924]),c_0_892]),c_0_892]),c_0_847]),c_0_924]),c_0_924]),c_0_892]),c_0_924]),c_0_924]),c_0_924]),c_0_924]),c_0_892]),c_0_859]),c_0_924]),c_0_924])]),c_0_925]) ).

cnf(c_0_963,plain,
    h4(e10) = e20,
    inference(rw,[status(thm)],[c_0_926,c_0_839]) ).

cnf(c_0_964,plain,
    h4(e11) = e21,
    inference(rw,[status(thm)],[c_0_927,c_0_844]) ).

cnf(c_0_965,plain,
    op2(e20,e21) = e20,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_928,c_0_844])]) ).

cnf(c_0_966,plain,
    op1(e11,e10) = e10,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_929,c_0_930]),c_0_863]) ).

cnf(c_0_967,plain,
    op1(e13,e11) = e12,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_931,c_0_932]),c_0_933]) ).

cnf(c_0_968,plain,
    op1(e10,e13) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_934,c_0_935]),c_0_936]) ).

cnf(c_0_969,plain,
    op1(e12,e11) = e13,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_937,c_0_932]),c_0_901]),c_0_938]),c_0_909]),c_0_871]) ).

cnf(c_0_970,plain,
    op1(e11,e12) = e13,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_939,c_0_901]),c_0_909]) ).

cnf(c_0_971,plain,
    op1(e13,e12) = e11,
    inference(sr,[status(thm)],[c_0_940,c_0_933]) ).

cnf(c_0_972,plain,
    op2(e23,e22) = e21,
    inference(sr,[status(thm)],[c_0_941,c_0_942]) ).

cnf(c_0_973,plain,
    op1(e12,e13) = e11,
    inference(sr,[status(thm)],[c_0_943,c_0_935]) ).

cnf(c_0_974,plain,
    ( op1(e10,e11) = e12
    | op1(e10,e12) = e12
    | op1(e10,e13) = e12 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_944,c_0_847]),c_0_857]) ).

cnf(c_0_975,plain,
    e12 != e10,
    i_0_197 ).

cnf(c_0_976,plain,
    ( op2(e20,e21) = e22
    | op2(e20,e22) = e22
    | op2(e20,e23) = e22 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_945,c_0_844]),c_0_851]) ).

cnf(c_0_977,plain,
    op2(e20,e23) != e22,
    inference(rw,[status(thm)],[c_0_946,c_0_853]) ).

cnf(c_0_978,plain,
    e22 != e20,
    i_0_203 ).

cnf(c_0_979,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e12) = e10
    | op1(e12,e10) = e10 ),
    inference(sr,[status(thm)],[c_0_947,c_0_948]) ).

cnf(c_0_980,plain,
    op1(e12,e11) != e10,
    inference(rw,[status(thm)],[c_0_949,c_0_938]) ).

cnf(c_0_981,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e22) = e20
    | op2(e22,e20) = e20 ),
    inference(sr,[status(thm)],[c_0_950,c_0_951]) ).

cnf(c_0_982,plain,
    op2(e22,e21) = e23,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_952,c_0_953]),c_0_954]),c_0_887]) ).

cnf(c_0_983,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e20 ),
    inference(sr,[status(thm)],[c_0_955,c_0_876]) ).

cnf(c_0_984,plain,
    op2(e21,e20) != e21,
    inference(rw,[status(thm)],[c_0_956,c_0_844]) ).

cnf(c_0_985,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference(sr,[status(thm)],[c_0_957,c_0_958]) ).

cnf(c_0_986,plain,
    op2(e23,e21) != e23,
    inference(rw,[status(thm)],[c_0_959,c_0_849]) ).

cnf(c_0_987,plain,
    ( op2(e20,e23) = e21
    | op2(e20,e23) = e22
    | op2(e20,e23) = e23 ),
    inference(sr,[status(thm)],[c_0_960,c_0_961]) ).

cnf(c_0_988,plain,
    ( h4(op1(e10,e12)) != op2(e20,e22)
    | h4(op1(e12,e12)) != op2(e22,e22)
    | op2(e21,e20) != e20
    | op2(e23,e21) != e22
    | op2(e20,e23) != e23
    | op2(e22,e21) != e23
    | op2(e21,e22) != e23 ),
    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(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)],[inference(rw,[status(thm)],[c_0_962,c_0_963]),c_0_963]),c_0_963]),c_0_963]),c_0_963]),c_0_963]),c_0_963]),c_0_844]),c_0_963]),c_0_849]),c_0_963]),c_0_963])])]),c_0_938]),c_0_963]),c_0_964]),c_0_965]),c_0_966]),c_0_963]),c_0_964]),c_0_964]),c_0_964]),c_0_886]),c_0_901]),c_0_964]),c_0_967]),c_0_924]),c_0_964]),c_0_968]),c_0_892]),c_0_874]),c_0_924]),c_0_869]),c_0_969]),c_0_892]),c_0_964]),c_0_970]),c_0_892]),c_0_964]),c_0_971]),c_0_964]),c_0_972]),c_0_964]),c_0_973]),c_0_964]),c_0_954]),c_0_964]),c_0_853])]) ).

cnf(c_0_989,plain,
    op1(e10,e12) = e12,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_974,c_0_936]),c_0_938]),c_0_975]) ).

cnf(c_0_990,plain,
    op2(e20,e22) = e22,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_976,c_0_977]),c_0_965]),c_0_978]) ).

cnf(c_0_991,plain,
    op1(e12,e12) = e10,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_979,c_0_980]),c_0_874]),c_0_975]) ).

cnf(c_0_992,plain,
    op2(e22,e22) = e20,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_981,c_0_869]),c_0_978]),c_0_982]),c_0_866]) ).

cnf(c_0_993,plain,
    op2(e21,e20) = e20,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_983,c_0_984]),c_0_861]) ).

cnf(c_0_994,plain,
    op2(e23,e21) = e22,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_985,c_0_986]),c_0_942]) ).

cnf(c_0_995,plain,
    op2(e20,e23) = e23,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_987,c_0_920]),c_0_977]) ).

cnf(c_0_996,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_988,c_0_918])]),c_0_989]),c_0_924]),c_0_990]),c_0_991]),c_0_963]),c_0_992]),c_0_993]),c_0_994]),c_0_995]),c_0_982])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG121+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 00:59:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.21/2.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.21/2.52  # No SInE strategy applied
% 8.21/2.52  # Trying AutoSched0 for 150 seconds
% 8.21/2.52  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.21/2.52  # and selection function SelectNewComplexAHP.
% 8.21/2.52  #
% 8.21/2.52  # Preprocessing time       : 0.056 s
% 8.21/2.52  # Presaturation interreduction done
% 8.21/2.52  
% 8.21/2.52  # Proof found!
% 8.21/2.52  # SZS status Theorem
% 8.21/2.52  # SZS output start CNFRefutation
% See solution above
% 8.21/2.52  # Training examples: 0 positive, 0 negative
% 8.21/2.52  
% 8.21/2.52  # -------------------------------------------------
% 8.21/2.52  # User time                : 0.100 s
% 8.21/2.52  # System time              : 0.005 s
% 8.21/2.52  # Total time               : 0.105 s
% 8.21/2.52  # Maximum resident set size: 7120 pages
% 8.21/2.52  
%------------------------------------------------------------------------------