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Enigma---0.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG023+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 14:42:05 EDT 2022

% Result   : Unsatisfiable 9.11s 2.54s
% Output   : CNFRefutation 9.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   53
% Syntax   : Number of clauses     :  178 (  72 unt;  77 nHn; 178 RR)
%            Number of literals    :  381 ( 350 equ; 102 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_166,plain,
    op(e1,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_166) ).

cnf(i_0_181,plain,
    ( op(e1,e1) = e3
    | epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_181) ).

cnf(i_0_205,plain,
    ( op(e0,e1) != e2
    | op(e1,e1) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_205) ).

cnf(i_0_79,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_79) ).

cnf(i_0_182,plain,
    ( op(e0,e0) = e3
    | epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_182) ).

cnf(i_0_15,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_15) ).

cnf(i_0_164,plain,
    op(e3,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_164) ).

cnf(i_0_126,plain,
    op(e3,e3) != op(e3,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_126) ).

cnf(i_0_179,plain,
    ( op(e3,e3) = e3
    | epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_179) ).

cnf(i_0_102,plain,
    inv(unit) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_102) ).

cnf(i_0_81,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_81) ).

cnf(i_0_95,plain,
    op(e3,inv(e3)) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_95) ).

cnf(i_0_207,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_207) ).

cnf(i_0_211,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_211) ).

cnf(i_0_150,plain,
    op(e3,e3) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_150) ).

cnf(i_0_185,plain,
    ( op(e3,e3) != e0
    | op(e1,e3) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_185) ).

cnf(i_0_229,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_229) ).

cnf(i_0_85,plain,
    op(unit,e2) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_85) ).

cnf(i_0_37,plain,
    op(op(e2,e2),e3) = op(e2,op(e2,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_37) ).

cnf(i_0_149,plain,
    op(e3,e3) != op(e2,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_149) ).

cnf(i_0_189,plain,
    ( op(e2,e3) != e0
    | op(e3,e3) != e1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_189) ).

cnf(i_0_175,plain,
    e2 != e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_175) ).

cnf(i_0_177,plain,
    e2 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_177) ).

cnf(i_0_5,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_5) ).

cnf(i_0_151,plain,
    op(e2,e3) != op(e1,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_151) ).

cnf(i_0_58,plain,
    op(op(e1,e1),e2) = op(e1,op(e1,e2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_58) ).

cnf(i_0_86,plain,
    op(e1,unit) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_86) ).

cnf(i_0_83,plain,
    op(unit,e3) = e3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_83) ).

cnf(i_0_97,plain,
    op(e2,inv(e2)) = unit,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_97) ).

cnf(i_0_9,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_9) ).

cnf(i_0_239,plain,
    ( op(e1,e1) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_239) ).

cnf(i_0_152,plain,
    op(e3,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_152) ).

cnf(i_0_191,plain,
    ( op(e3,e3) != e1
    | op(e0,e3) != e2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_191) ).

cnf(i_0_57,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_57) ).

cnf(i_0_137,plain,
    op(e1,e3) != op(e1,e2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_137) ).

cnf(i_0_230,plain,
    ( op(e0,e0) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_230) ).

cnf(i_0_154,plain,
    op(e1,e3) != op(e0,e3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_154) ).

cnf(i_0_200,plain,
    ( op(e0,e0) != e2
    | op(e1,e0) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_200) ).

cnf(i_0_13,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_13) ).

cnf(i_0_253,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_253) ).

cnf(i_0_87,plain,
    op(unit,e1) = e1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_87) ).

cnf(i_0_178,plain,
    e1 != e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_178) ).

cnf(i_0_146,plain,
    op(e0,e3) != op(e0,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_146) ).

cnf(i_0_88,plain,
    op(e0,unit) = e0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_88) ).

cnf(i_0_144,plain,
    op(e0,e3) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_144) ).

cnf(i_0_238,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_238) ).

cnf(i_0_254,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e0
    | ~ epred1_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_254) ).

cnf(i_0_84,plain,
    op(e2,unit) = e2,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_84) ).

cnf(i_0_133,plain,
    op(e2,e2) != op(e2,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_133) ).

cnf(i_0_188,plain,
    ( op(e1,e1) != e0
    | op(e2,e1) != e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_188) ).

cnf(i_0_7,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_7) ).

cnf(i_0_136,plain,
    op(e2,e1) != op(e2,e0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_136) ).

cnf(i_0_165,plain,
    op(e2,e1) != op(e0,e1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zqji1ulo/lgb.p',i_0_165) ).

cnf(c_0_308,plain,
    op(e1,e1) != op(e0,e1),
    i_0_166 ).

cnf(c_0_309,plain,
    ( op(e1,e1) = e3
    | epred1_0 ),
    i_0_181 ).

cnf(c_0_310,plain,
    ( op(e0,e1) != e2
    | op(e1,e1) != e3 ),
    i_0_205 ).

cnf(c_0_311,plain,
    op(op(e0,e0),e1) = op(e0,op(e0,e1)),
    i_0_79 ).

cnf(c_0_312,plain,
    ( op(e0,e0) = e3
    | epred1_0 ),
    i_0_182 ).

cnf(c_0_313,plain,
    ( epred1_0
    | op(e0,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_314,plain,
    ( op(e0,e1) = e0
    | op(e0,e1) = e1
    | op(e0,e1) = e2
    | op(e0,e1) = e3 ),
    i_0_15 ).

cnf(c_0_315,plain,
    ( epred1_0
    | op(e0,e1) != e2 ),
    inference(spm,[status(thm)],[c_0_310,c_0_309]) ).

cnf(c_0_316,plain,
    ( op(e0,op(e0,e1)) = op(e3,e1)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_317,plain,
    ( op(e0,e1) = e1
    | op(e0,e1) = e0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_314]),c_0_315]) ).

cnf(c_0_318,plain,
    op(e3,e1) != op(e0,e1),
    i_0_164 ).

cnf(c_0_319,plain,
    op(e3,e3) != op(e3,e1),
    i_0_126 ).

cnf(c_0_320,plain,
    ( op(e3,e3) = e3
    | epred1_0 ),
    i_0_179 ).

cnf(c_0_321,plain,
    ( op(e0,e1) = e0
    | epred1_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_318]) ).

cnf(c_0_322,plain,
    inv(unit) = unit,
    i_0_102 ).

cnf(c_0_323,plain,
    ( e0 = unit
    | e1 = unit
    | e2 = unit
    | e3 = unit ),
    i_0_81 ).

cnf(c_0_324,plain,
    ( epred1_0
    | op(e3,e1) != e3 ),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_325,plain,
    ( op(e3,e1) = op(e0,e0)
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_316,c_0_321]) ).

cnf(c_0_326,plain,
    op(e3,inv(e3)) = unit,
    i_0_95 ).

cnf(c_0_327,plain,
    ( inv(e3) = e3
    | unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_328,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    i_0_207 ).

cnf(c_0_329,plain,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_312]) ).

cnf(c_0_330,plain,
    ( op(e3,e3) = unit
    | unit = e0
    | unit = e1
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

cnf(c_0_331,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e3,e3) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_329])]) ).

cnf(c_0_332,plain,
    ( op(e3,e3) = e0
    | op(e3,e3) = e1
    | unit = e1
    | unit = e0
    | unit = e2 ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_333,plain,
    ( op(e2,e2) = e1
    | op(e3,e3) = e0
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    i_0_211 ).

cnf(c_0_334,plain,
    ( op(e3,e3) = e0
    | unit = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_330,c_0_332]) ).

cnf(c_0_335,plain,
    op(e3,e3) != op(e1,e3),
    i_0_150 ).

cnf(c_0_336,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e0
    | op(e2,e2) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_329])]) ).

cnf(c_0_337,plain,
    ( op(e3,e3) != e0
    | op(e1,e3) != e2 ),
    i_0_185 ).

cnf(c_0_338,plain,
    ( op(e1,e1) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | ~ epred1_0 ),
    i_0_229 ).

cnf(c_0_339,plain,
    op(unit,e2) = e2,
    i_0_85 ).

cnf(c_0_340,plain,
    ( unit = e2
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_330,c_0_334]) ).

cnf(c_0_341,plain,
    op(op(e2,e2),e3) = op(e2,op(e2,e3)),
    i_0_37 ).

cnf(c_0_342,plain,
    ( op(e2,e2) = e1
    | op(e1,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337]) ).

cnf(c_0_343,plain,
    op(e3,e3) != op(e2,e3),
    i_0_149 ).

cnf(c_0_344,plain,
    ( op(e3,e3) = e1
    | op(e1,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_331]),c_0_337]) ).

cnf(c_0_345,plain,
    ( op(e2,e3) != e0
    | op(e3,e3) != e1 ),
    i_0_189 ).

cnf(c_0_346,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e1,e1) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_329])]) ).

cnf(c_0_347,plain,
    ( op(e2,e2) = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_348,plain,
    e2 != e1,
    i_0_175 ).

cnf(c_0_349,plain,
    e2 != e0,
    i_0_177 ).

cnf(c_0_350,plain,
    ( op(e2,op(e2,e3)) = op(e1,e3)
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_351,plain,
    ( op(e2,e3) = e0
    | op(e2,e3) = e1
    | op(e2,e3) = e2
    | op(e2,e3) = e3 ),
    i_0_5 ).

cnf(c_0_352,plain,
    op(e2,e3) != op(e1,e3),
    i_0_151 ).

cnf(c_0_353,plain,
    ( op(e2,e3) != e1
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_343,c_0_344]) ).

cnf(c_0_354,plain,
    ( op(e2,e3) != e0
    | op(e1,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_345,c_0_344]) ).

cnf(c_0_355,plain,
    op(op(e1,e1),e2) = op(e1,op(e1,e2)),
    i_0_58 ).

cnf(c_0_356,plain,
    ( op(e1,e1) = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_347]),c_0_348]),c_0_349]) ).

cnf(c_0_357,plain,
    op(e1,unit) = e1,
    i_0_86 ).

cnf(c_0_358,plain,
    op(unit,e3) = e3,
    i_0_83 ).

cnf(c_0_359,plain,
    ( op(e2,e3) = e2
    | op(e1,e3) != e2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352]),c_0_353]),c_0_354]) ).

cnf(c_0_360,plain,
    op(e2,inv(e2)) = unit,
    i_0_97 ).

cnf(c_0_361,plain,
    ( inv(e2) = e2
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_322,c_0_340]) ).

cnf(c_0_362,plain,
    ( op(e1,op(e1,e2)) = op(e2,e2)
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_355,c_0_356]) ).

cnf(c_0_363,plain,
    ( op(e1,e2) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_357,c_0_340]) ).

cnf(c_0_364,plain,
    ( op(e2,e3) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_358,c_0_340]) ).

cnf(c_0_365,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | op(e1,e3) = e2
    | op(e1,e3) = e3 ),
    i_0_9 ).

cnf(c_0_366,plain,
    op(e1,e3) != e2,
    inference(spm,[status(thm)],[c_0_352,c_0_359]) ).

cnf(c_0_367,plain,
    ( op(e1,e1) = e0
    | op(e3,e3) = e1
    | op(e3,e3) = e2
    | ~ epred1_0 ),
    i_0_239 ).

cnf(c_0_368,plain,
    ( op(e2,e2) = unit
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_369,plain,
    ( op(e2,e2) = op(e1,e1)
    | unit = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_370,plain,
    ( unit = e1
    | unit = e0
    | op(e1,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_352,c_0_364]) ).

cnf(c_0_371,plain,
    ( op(e1,e3) = e3
    | op(e1,e3) = e1
    | op(e1,e3) = e0 ),
    inference(sr,[status(thm)],[c_0_365,c_0_366]) ).

cnf(c_0_372,plain,
    op(e3,e3) != op(e0,e3),
    i_0_152 ).

cnf(c_0_373,plain,
    ( op(e3,e3) = e2
    | op(e3,e3) = e1
    | op(e1,e1) = e0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_367,c_0_329])]) ).

cnf(c_0_374,plain,
    ( op(e3,e3) != e1
    | op(e0,e3) != e2 ),
    i_0_191 ).

cnf(c_0_375,plain,
    op(op(e1,e1),e3) = op(e1,op(e1,e3)),
    i_0_57 ).

cnf(c_0_376,plain,
    ( op(e1,e1) = unit
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_377,plain,
    op(e1,e3) != op(e1,e2),
    i_0_137 ).

cnf(c_0_378,plain,
    ( op(e1,e3) = e0
    | op(e1,e3) = e1
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_379,plain,
    ( op(e0,e0) = e2
    | op(e2,e2) = e0
    | op(e2,e2) = e1
    | ~ epred1_0 ),
    i_0_230 ).

cnf(c_0_380,plain,
    ( op(e1,e1) = e0
    | op(e0,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_374]) ).

cnf(c_0_381,plain,
    ( op(e3,e3) = e0
    | op(e0,e3) != e2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_331]),c_0_374]) ).

cnf(c_0_382,plain,
    ( op(e1,op(e1,e3)) = e3
    | unit = e1
    | unit = e0 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_358]) ).

cnf(c_0_383,plain,
    ( op(e1,e3) = e0
    | unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_363]) ).

cnf(c_0_384,plain,
    ( op(e2,e2) = e1
    | op(e2,e2) = e0
    | op(e0,e0) = e2 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_329])]) ).

cnf(c_0_385,plain,
    ( op(e1,op(e1,e3)) = op(e0,e3)
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_375,c_0_380]) ).

cnf(c_0_386,plain,
    op(e1,e3) != op(e0,e3),
    i_0_154 ).

cnf(c_0_387,plain,
    ( op(e1,e3) != e0
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_335,c_0_381]) ).

cnf(c_0_388,plain,
    ( op(e0,e0) != e2
    | op(e1,e0) != e3 ),
    i_0_200 ).

cnf(c_0_389,plain,
    ( op(e1,e0) = e3
    | unit = e0
    | unit = e1 ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

cnf(c_0_390,plain,
    ( op(e0,e0) = e2
    | unit = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_347]),c_0_348]),c_0_349]) ).

cnf(c_0_391,plain,
    ( op(e1,e3) = e1
    | op(e0,e3) != e2 ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_371]),c_0_386]),c_0_387]) ).

cnf(c_0_392,plain,
    ( unit = e1
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_390]) ).

cnf(c_0_393,plain,
    ( op(e1,e1) = op(e0,e3)
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_385,c_0_391]) ).

cnf(c_0_394,plain,
    ( op(e0,e3) != e0
    | op(e0,e3) != e2 ),
    inference(spm,[status(thm)],[c_0_372,c_0_381]) ).

cnf(c_0_395,plain,
    ( op(e1,e3) = e3
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_358,c_0_392]) ).

cnf(c_0_396,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | op(e0,e3) = e2
    | op(e0,e3) = e3 ),
    i_0_13 ).

cnf(c_0_397,plain,
    op(e0,e3) != e2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_393]),c_0_394]) ).

cnf(c_0_398,plain,
    ( op(e0,e0) = e1
    | op(e1,e1) = e0
    | op(e1,e1) = e2
    | ~ epred1_0 ),
    i_0_253 ).

cnf(c_0_399,plain,
    op(unit,e1) = e1,
    i_0_87 ).

cnf(c_0_400,plain,
    ( unit = e0
    | op(e0,e3) != e3 ),
    inference(spm,[status(thm)],[c_0_386,c_0_395]) ).

cnf(c_0_401,plain,
    ( op(e0,e3) = e3
    | op(e0,e3) = e1
    | op(e0,e3) = e0 ),
    inference(sr,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_402,plain,
    ( op(e1,e1) = e2
    | op(e1,e1) = e0
    | op(e0,e0) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_329])]) ).

cnf(c_0_403,plain,
    ( op(e1,e1) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_399,c_0_392]) ).

cnf(c_0_404,plain,
    e1 != e0,
    i_0_178 ).

cnf(c_0_405,plain,
    op(e0,e3) != op(e0,e0),
    i_0_146 ).

cnf(c_0_406,plain,
    ( op(e0,e3) = e0
    | op(e0,e3) = e1
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_407,plain,
    ( op(e0,e0) = e1
    | unit = e0 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_403]),c_0_348]),c_0_404]) ).

cnf(c_0_408,plain,
    op(e0,unit) = e0,
    i_0_88 ).

cnf(c_0_409,plain,
    op(e0,e3) != op(e0,e1),
    i_0_144 ).

cnf(c_0_410,plain,
    ( op(e0,e3) = e0
    | unit = e0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_407]) ).

cnf(c_0_411,plain,
    ( op(e0,e1) = e0
    | unit = e0 ),
    inference(spm,[status(thm)],[c_0_408,c_0_392]) ).

cnf(c_0_412,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e2) = e0
    | ~ epred1_0 ),
    i_0_238 ).

cnf(c_0_413,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e1,e1) = e0
    | ~ epred1_0 ),
    i_0_254 ).

cnf(c_0_414,plain,
    unit = e0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_411]) ).

cnf(c_0_415,plain,
    op(e2,unit) = e2,
    i_0_84 ).

cnf(c_0_416,plain,
    op(e2,e2) != op(e2,e1),
    i_0_133 ).

cnf(c_0_417,plain,
    ( op(e2,e2) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_412,c_0_329])]) ).

cnf(c_0_418,plain,
    ( op(e1,e1) != e0
    | op(e2,e1) != e3 ),
    i_0_188 ).

cnf(c_0_419,plain,
    ( op(e2,e1) = e0
    | op(e2,e1) = e1
    | op(e2,e1) = e2
    | op(e2,e1) = e3 ),
    i_0_7 ).

cnf(c_0_420,plain,
    ( op(e1,e1) = e0
    | op(e0,e0) = e2
    | op(e0,e0) = e1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_329])]) ).

cnf(c_0_421,plain,
    op(e0,e0) = e0,
    inference(rw,[status(thm)],[c_0_408,c_0_414]) ).

cnf(c_0_422,plain,
    op(e2,e1) != op(e2,e0),
    i_0_136 ).

cnf(c_0_423,plain,
    op(e2,e0) = e2,
    inference(rw,[status(thm)],[c_0_415,c_0_414]) ).

cnf(c_0_424,plain,
    ( op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e2,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_416,c_0_417]) ).

cnf(c_0_425,plain,
    ( op(e2,e1) = e2
    | op(e2,e1) = e1
    | op(e2,e1) = e0
    | op(e1,e1) != e0 ),
    inference(spm,[status(thm)],[c_0_418,c_0_419]) ).

cnf(c_0_426,plain,
    op(e1,e1) = e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_421]),c_0_421]),c_0_349]),c_0_404]) ).

cnf(c_0_427,plain,
    op(e2,e1) != e2,
    inference(rw,[status(thm)],[c_0_422,c_0_423]) ).

cnf(c_0_428,plain,
    op(e2,e1) != e0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_421]),c_0_421]),c_0_404]),c_0_349]) ).

cnf(c_0_429,plain,
    op(e2,e1) != op(e0,e1),
    i_0_165 ).

cnf(c_0_430,plain,
    op(e0,e1) = e1,
    inference(rw,[status(thm)],[c_0_399,c_0_414]) ).

cnf(c_0_431,plain,
    op(e2,e1) = e1,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_426])]),c_0_427]),c_0_428]) ).

cnf(c_0_432,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_429,c_0_430]),c_0_431])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ALG023+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun  8 11:32:52 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 9.11/2.54  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.11/2.54  # No SInE strategy applied
% 9.11/2.54  # Trying AutoSched0 for 150 seconds
% 9.11/2.54  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04CA
% 9.11/2.54  # and selection function MSelectComplexExceptUniqMaxHorn.
% 9.11/2.54  #
% 9.11/2.54  # Preprocessing time       : 0.024 s
% 9.11/2.54  # Presaturation interreduction done
% 9.11/2.54  
% 9.11/2.54  # Proof found!
% 9.11/2.54  # SZS status Theorem
% 9.11/2.54  # SZS output start CNFRefutation
% See solution above
% 9.11/2.54  # Training examples: 0 positive, 0 negative
% 9.11/2.54  
% 9.11/2.54  # -------------------------------------------------
% 9.11/2.54  # User time                : 0.196 s
% 9.11/2.54  # System time              : 0.014 s
% 9.11/2.54  # Total time               : 0.209 s
% 9.11/2.54  # Maximum resident set size: 7124 pages
% 9.11/2.54  
%------------------------------------------------------------------------------