%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG193+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 15:32:52 EDT 2022
% Result : Unsatisfiable 11.34s 2.83s
% Output : CNFRefutation 11.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 110
% Syntax : Number of clauses : 431 ( 193 unt; 218 nHn; 431 RR)
% Number of literals : 1017 (1016 equ; 174 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_91,plain,
op(op(e4,e1),op(e1,e4)) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_91) ).
cnf(i_0_63,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_63) ).
cnf(i_0_214,plain,
op(op(e4,e1),e1) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_214) ).
cnf(i_0_204,plain,
e4 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_204) ).
cnf(i_0_92,plain,
op(op(e3,e1),op(e1,e3)) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_92) ).
cnf(i_0_219,plain,
op(op(e3,e1),e1) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_219) ).
cnf(i_0_205,plain,
e3 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_205) ).
cnf(i_0_93,plain,
op(op(e2,e1),op(e1,e2)) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_93) ).
cnf(i_0_224,plain,
op(op(e2,e1),e1) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_224) ).
cnf(i_0_206,plain,
e2 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_206) ).
cnf(i_0_190,plain,
op(e1,e1) != op(e0,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_190) ).
cnf(i_0_95,plain,
op(op(e0,e1),op(e1,e0)) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_95) ).
cnf(i_0_234,plain,
op(op(e0,e1),e1) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_234) ).
cnf(i_0_210,plain,
e1 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_210) ).
cnf(i_0_62,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_62) ).
cnf(i_0_96,plain,
op(op(e4,e0),op(e0,e4)) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_96) ).
cnf(i_0_75,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_75) ).
cnf(i_0_215,plain,
op(op(e4,e0),e0) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_215) ).
cnf(i_0_207,plain,
e4 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_207) ).
cnf(i_0_94,plain,
op(op(e1,e1),op(e1,e1)) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_94) ).
cnf(i_0_229,plain,
op(op(e1,e1),e1) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_229) ).
cnf(i_0_97,plain,
op(op(e3,e0),op(e0,e3)) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_97) ).
cnf(i_0_220,plain,
op(op(e3,e0),e0) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_220) ).
cnf(i_0_208,plain,
e3 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_208) ).
cnf(i_0_104,plain,
op(e4,e4) != op(e4,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_104) ).
cnf(i_0_98,plain,
op(op(e2,e0),op(e0,e2)) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_98) ).
cnf(i_0_225,plain,
op(op(e2,e0),e0) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_225) ).
cnf(i_0_209,plain,
e2 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_209) ).
cnf(i_0_99,plain,
op(op(e1,e0),op(e0,e1)) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_99) ).
cnf(i_0_230,plain,
op(op(e1,e0),e0) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_230) ).
cnf(i_0_115,plain,
op(e3,e3) != op(e3,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_115) ).
cnf(i_0_149,plain,
op(e0,e2) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_149) ).
cnf(i_0_148,plain,
op(e0,e3) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_148) ).
cnf(i_0_54,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_54) ).
cnf(i_0_126,plain,
op(e2,e2) != op(e2,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_126) ).
cnf(i_0_44,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_44) ).
cnf(i_0_213,plain,
op(op(e4,e2),e2) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_213) ).
cnf(i_0_184,plain,
op(e4,e1) != op(e1,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_184) ).
cnf(i_0_212,plain,
op(op(e4,e3),e3) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_212) ).
cnf(i_0_218,plain,
op(op(e3,e2),e2) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_218) ).
cnf(i_0_33,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_33) ).
cnf(i_0_82,plain,
op(op(e3,e3),op(e3,e3)) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_82) ).
cnf(i_0_77,plain,
op(op(e3,e4),op(e4,e3)) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_77) ).
cnf(i_0_36,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_36) ).
cnf(i_0_216,plain,
op(op(e3,e4),e4) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_216) ).
cnf(i_0_201,plain,
e4 != e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_201) ).
cnf(i_0_198,plain,
op(e3,e0) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_198) ).
cnf(i_0_147,plain,
op(e0,e4) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_147) ).
cnf(i_0_88,plain,
op(op(e2,e2),op(e2,e2)) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_88) ).
cnf(i_0_76,plain,
op(op(e4,e4),op(e4,e4)) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_76) ).
cnf(i_0_222,plain,
op(op(e2,e3),e3) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_222) ).
cnf(i_0_217,plain,
op(op(e3,e3),e3) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_217) ).
cnf(i_0_45,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_45) ).
cnf(i_0_34,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_34) ).
cnf(i_0_228,plain,
op(op(e1,e2),e2) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_228) ).
cnf(i_0_227,plain,
op(op(e1,e3),e3) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_227) ).
cnf(i_0_101,plain,
op(e4,e4) != op(e4,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_101) ).
cnf(i_0_233,plain,
op(op(e0,e2),e2) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_233) ).
cnf(i_0_177,plain,
op(e4,e2) != op(e0,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_177) ).
cnf(i_0_232,plain,
op(op(e0,e3),e3) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_232) ).
cnf(i_0_167,plain,
op(e4,e3) != op(e0,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_167) ).
cnf(i_0_135,plain,
op(e1,e3) != op(e1,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_135) ).
cnf(i_0_83,plain,
op(op(e2,e3),op(e3,e2)) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_83) ).
cnf(i_0_42,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_42) ).
cnf(i_0_84,plain,
op(op(e1,e3),op(e3,e1)) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_84) ).
cnf(i_0_121,plain,
op(e2,e4) != op(e2,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_121) ).
cnf(i_0_68,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_68) ).
cnf(i_0_133,plain,
op(e1,e3) != op(e1,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_133) ).
cnf(i_0_253,plain,
( op(e2,e3) != e0
| op(e3,op(e2,e3)) != e4
| op(op(e2,e3),op(e3,op(e2,e3))) != e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_253) ).
cnf(i_0_226,plain,
op(op(e1,e4),e4) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_226) ).
cnf(i_0_195,plain,
op(e3,e0) != op(e1,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_195) ).
cnf(i_0_66,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_66) ).
cnf(i_0_4,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_4) ).
cnf(i_0_73,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_73) ).
cnf(i_0_80,plain,
op(op(e0,e4),op(e4,e0)) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_80) ).
cnf(i_0_231,plain,
op(op(e0,e4),e4) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_231) ).
cnf(i_0_79,plain,
op(op(e1,e4),op(e4,e1)) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_79) ).
cnf(i_0_85,plain,
op(op(e0,e3),op(e3,e0)) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_85) ).
cnf(i_0_143,plain,
op(e0,e3) != op(e0,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_143) ).
cnf(i_0_81,plain,
op(op(e4,e3),op(e3,e4)) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_81) ).
cnf(i_0_194,plain,
op(e4,e0) != op(e1,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_194) ).
cnf(i_0_350,plain,
( op(e1,e3) != e4
| op(e3,op(e1,e3)) != e0
| op(op(e1,e3),op(e3,op(e1,e3))) != e2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_350) ).
cnf(i_0_202,plain,
e4 != e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_202) ).
cnf(i_0_199,plain,
op(e2,e0) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_199) ).
cnf(i_0_182,plain,
op(e4,e1) != op(e2,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_182) ).
cnf(i_0_55,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_55) ).
cnf(i_0_170,plain,
op(e1,e3) != op(e0,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_170) ).
cnf(i_0_308,plain,
( op(e2,e0) != e3
| op(e0,op(e2,e0)) != e1
| op(op(e2,e0),op(e0,op(e2,e0))) != e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_308) ).
cnf(i_0_221,plain,
op(op(e2,e4),e4) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_221) ).
cnf(i_0_150,plain,
op(e0,e1) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_150) ).
cnf(i_0_138,plain,
op(e1,e3) != op(e1,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_138) ).
cnf(i_0_197,plain,
op(e4,e0) != op(e0,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_197) ).
cnf(i_0_64,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_64) ).
cnf(i_0_146,plain,
op(e0,e2) != op(e0,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_146) ).
cnf(i_0_89,plain,
op(op(e1,e2),op(e2,e1)) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_89) ).
cnf(i_0_5,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_5) ).
cnf(i_0_10,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_10) ).
cnf(i_0_72,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_72) ).
cnf(i_0_140,plain,
op(e1,e1) != op(e1,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_140) ).
cnf(i_0_67,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_67) ).
cnf(i_0_203,plain,
e3 != e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_203) ).
cnf(i_0_251,plain,
( op(e4,e3) != e0
| op(e3,op(e4,e3)) != e2
| op(op(e4,e3),op(e3,op(e4,e3))) != e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_251) ).
cnf(i_0_191,plain,
op(e4,e0) != op(e3,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_191) ).
cnf(i_0_131,plain,
op(e1,e4) != op(e1,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_131) ).
cnf(i_0_317,plain,
( op(e4,e1) != e3
| op(e1,op(e4,e1)) != e2
| op(op(e4,e1),op(e1,op(e4,e1))) != e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_317) ).
cnf(i_0_192,plain,
op(e4,e0) != op(e2,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_192) ).
cnf(i_0_142,plain,
op(e0,e4) != op(e0,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_142) ).
cnf(i_0_128,plain,
op(e2,e3) != op(e2,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_128) ).
cnf(i_0_335,plain,
( op(e3,e0) != e4
| op(e0,op(e3,e0)) != e2
| op(op(e3,e0),op(e0,op(e3,e0))) != e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_335) ).
cnf(i_0_139,plain,
op(e1,e2) != op(e1,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_wqvc45p/input.p',i_0_139) ).
cnf(c_0_461,plain,
op(op(e4,e1),op(e1,e4)) = e1,
i_0_91 ).
cnf(c_0_462,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1
| op(e1,e3) = e1
| op(e1,e4) = e1 ),
i_0_63 ).
cnf(c_0_463,plain,
op(op(e4,e1),e1) = e4,
i_0_214 ).
cnf(c_0_464,plain,
e4 != e1,
i_0_204 ).
cnf(c_0_465,plain,
op(op(e3,e1),op(e1,e3)) = e1,
i_0_92 ).
cnf(c_0_466,plain,
( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_462]),c_0_463]),c_0_464]) ).
cnf(c_0_467,plain,
op(op(e3,e1),e1) = e3,
i_0_219 ).
cnf(c_0_468,plain,
e3 != e1,
i_0_205 ).
cnf(c_0_469,plain,
op(op(e2,e1),op(e1,e2)) = e1,
i_0_93 ).
cnf(c_0_470,plain,
( op(e1,e0) = e1
| op(e1,e1) = e1
| op(e1,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_466]),c_0_467]),c_0_468]) ).
cnf(c_0_471,plain,
op(op(e2,e1),e1) = e2,
i_0_224 ).
cnf(c_0_472,plain,
e2 != e1,
i_0_206 ).
cnf(c_0_473,plain,
op(e1,e1) != op(e0,e1),
i_0_190 ).
cnf(c_0_474,plain,
( op(e1,e1) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_471]),c_0_472]) ).
cnf(c_0_475,plain,
op(op(e0,e1),op(e1,e0)) = e1,
i_0_95 ).
cnf(c_0_476,plain,
( op(e1,e0) = e1
| op(e0,e1) != e1 ),
inference(spm,[status(thm)],[c_0_473,c_0_474]) ).
cnf(c_0_477,plain,
op(op(e0,e1),e1) = e0,
i_0_234 ).
cnf(c_0_478,plain,
e1 != e0,
i_0_210 ).
cnf(c_0_479,plain,
( op(e0,e1) = e1
| op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e4,e1) = e1 ),
i_0_62 ).
cnf(c_0_480,plain,
op(e0,e1) != e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_476]),c_0_477]),c_0_478]) ).
cnf(c_0_481,plain,
( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1 ),
inference(sr,[status(thm)],[c_0_479,c_0_480]) ).
cnf(c_0_482,plain,
( op(e1,e1) = e1
| op(e2,e1) = e1
| op(e3,e1) = e1
| op(e1,e1) = e4 ),
inference(spm,[status(thm)],[c_0_463,c_0_481]) ).
cnf(c_0_483,plain,
( op(e1,e1) = e4
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e1,e1) = e3 ),
inference(spm,[status(thm)],[c_0_467,c_0_482]) ).
cnf(c_0_484,plain,
op(op(e4,e0),op(e0,e4)) = e0,
i_0_96 ).
cnf(c_0_485,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0
| op(e0,e3) = e0
| op(e0,e4) = e0 ),
i_0_75 ).
cnf(c_0_486,plain,
op(op(e4,e0),e0) = e4,
i_0_215 ).
cnf(c_0_487,plain,
e4 != e0,
i_0_207 ).
cnf(c_0_488,plain,
op(op(e1,e1),op(e1,e1)) = e1,
i_0_94 ).
cnf(c_0_489,plain,
( op(e1,e1) = e3
| op(e1,e1) = e1
| op(e1,e1) = e4
| op(e1,e1) = e2 ),
inference(spm,[status(thm)],[c_0_471,c_0_483]) ).
cnf(c_0_490,plain,
op(op(e1,e1),e1) = e1,
i_0_229 ).
cnf(c_0_491,plain,
op(op(e3,e0),op(e0,e3)) = e0,
i_0_97 ).
cnf(c_0_492,plain,
( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_484,c_0_485]),c_0_486]),c_0_487]) ).
cnf(c_0_493,plain,
op(op(e3,e0),e0) = e3,
i_0_220 ).
cnf(c_0_494,plain,
e3 != e0,
i_0_208 ).
cnf(c_0_495,plain,
op(e4,e4) != op(e4,e1),
i_0_104 ).
cnf(c_0_496,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e3
| op(e4,e4) = e1 ),
inference(spm,[status(thm)],[c_0_488,c_0_489]) ).
cnf(c_0_497,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e3
| op(e4,e1) = e1 ),
inference(spm,[status(thm)],[c_0_490,c_0_489]) ).
cnf(c_0_498,plain,
op(op(e2,e0),op(e0,e2)) = e0,
i_0_98 ).
cnf(c_0_499,plain,
( op(e0,e0) = e0
| op(e0,e1) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_492]),c_0_493]),c_0_494]) ).
cnf(c_0_500,plain,
op(op(e2,e0),e0) = e2,
i_0_225 ).
cnf(c_0_501,plain,
e2 != e0,
i_0_209 ).
cnf(c_0_502,plain,
( op(e1,e1) = e3
| op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_497]) ).
cnf(c_0_503,plain,
op(op(e1,e0),op(e0,e1)) = e0,
i_0_99 ).
cnf(c_0_504,plain,
( op(e0,e1) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_500]),c_0_501]) ).
cnf(c_0_505,plain,
op(op(e1,e0),e0) = e1,
i_0_230 ).
cnf(c_0_506,plain,
op(e3,e3) != op(e3,e1),
i_0_115 ).
cnf(c_0_507,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e3,e3) = e1 ),
inference(spm,[status(thm)],[c_0_488,c_0_502]) ).
cnf(c_0_508,plain,
( op(e1,e1) = e2
| op(e1,e1) = e1
| op(e3,e1) = e1 ),
inference(spm,[status(thm)],[c_0_490,c_0_502]) ).
cnf(c_0_509,plain,
op(e0,e2) != op(e0,e0),
i_0_149 ).
cnf(c_0_510,plain,
op(e0,e0) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_505]),c_0_478]) ).
cnf(c_0_511,plain,
( op(e1,e1) = e1
| op(e1,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_507]),c_0_508]) ).
cnf(c_0_512,plain,
op(e0,e3) != op(e0,e0),
i_0_148 ).
cnf(c_0_513,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
i_0_54 ).
cnf(c_0_514,plain,
op(e0,e2) != e0,
inference(rw,[status(thm)],[c_0_509,c_0_510]) ).
cnf(c_0_515,plain,
op(e2,e2) != op(e2,e1),
i_0_126 ).
cnf(c_0_516,plain,
( op(e1,e1) = e1
| op(e2,e2) = e1 ),
inference(spm,[status(thm)],[c_0_488,c_0_511]) ).
cnf(c_0_517,plain,
( op(e1,e1) = e1
| op(e2,e1) = e1 ),
inference(spm,[status(thm)],[c_0_490,c_0_511]) ).
cnf(c_0_518,plain,
( op(e0,e3) = e0
| op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
i_0_44 ).
cnf(c_0_519,plain,
op(e0,e3) != e0,
inference(rw,[status(thm)],[c_0_512,c_0_510]) ).
cnf(c_0_520,plain,
op(op(e4,e2),e2) = e4,
i_0_213 ).
cnf(c_0_521,plain,
( op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
inference(sr,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_522,plain,
op(e4,e1) != op(e1,e1),
i_0_184 ).
cnf(c_0_523,plain,
op(e1,e1) = e1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_517]) ).
cnf(c_0_524,plain,
op(op(e4,e3),e3) = e4,
i_0_212 ).
cnf(c_0_525,plain,
( op(e1,e3) = e0
| op(e2,e3) = e0
| op(e3,e3) = e0
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[c_0_518,c_0_519]) ).
cnf(c_0_526,plain,
op(op(e3,e2),e2) = e3,
i_0_218 ).
cnf(c_0_527,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_528,plain,
( op(e4,e0) = e1
| op(e4,e1) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
i_0_33 ).
cnf(c_0_529,plain,
op(e4,e1) != e1,
inference(rw,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_530,plain,
op(op(e3,e3),op(e3,e3)) = e3,
i_0_82 ).
cnf(c_0_531,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_524,c_0_525]) ).
cnf(c_0_532,plain,
op(op(e3,e4),op(e4,e3)) = e4,
i_0_77 ).
cnf(c_0_533,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e3,e3) = e4
| op(e4,e3) = e4 ),
i_0_36 ).
cnf(c_0_534,plain,
op(op(e3,e4),e4) = e3,
i_0_216 ).
cnf(c_0_535,plain,
e4 != e3,
i_0_201 ).
cnf(c_0_536,plain,
op(e3,e0) != op(e0,e0),
i_0_198 ).
cnf(c_0_537,plain,
op(e0,e4) != op(e0,e0),
i_0_147 ).
cnf(c_0_538,plain,
op(op(e2,e2),op(e2,e2)) = e2,
i_0_88 ).
cnf(c_0_539,plain,
( op(e0,e2) = e4
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_526,c_0_527]) ).
cnf(c_0_540,plain,
op(op(e4,e4),op(e4,e4)) = e4,
i_0_76 ).
cnf(c_0_541,plain,
( op(e4,e0) = e1
| op(e4,e2) = e1
| op(e4,e3) = e1
| op(e4,e4) = e1 ),
inference(sr,[status(thm)],[c_0_528,c_0_529]) ).
cnf(c_0_542,plain,
op(op(e2,e3),e3) = e2,
i_0_222 ).
cnf(c_0_543,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e2,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_531]),c_0_510]),c_0_494]) ).
cnf(c_0_544,plain,
( op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_534]),c_0_535]) ).
cnf(c_0_545,plain,
op(op(e3,e3),e3) = e3,
i_0_217 ).
cnf(c_0_546,plain,
( op(e3,e0) = e0
| op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
i_0_45 ).
cnf(c_0_547,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_536,c_0_510]) ).
cnf(c_0_548,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
i_0_34 ).
cnf(c_0_549,plain,
op(e0,e4) != e0,
inference(rw,[status(thm)],[c_0_537,c_0_510]) ).
cnf(c_0_550,plain,
op(op(e1,e2),e2) = e1,
i_0_228 ).
cnf(c_0_551,plain,
( op(e0,e2) = e3
| op(e1,e2) = e0
| op(e0,e2) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_539]),c_0_510]),c_0_501]) ).
cnf(c_0_552,plain,
( op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_541]),c_0_523]),c_0_464]) ).
cnf(c_0_553,plain,
op(op(e1,e3),e3) = e1,
i_0_227 ).
cnf(c_0_554,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_542,c_0_543]) ).
cnf(c_0_555,plain,
op(e4,e4) != op(e4,e3),
i_0_101 ).
cnf(c_0_556,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e4) = e3 ),
inference(spm,[status(thm)],[c_0_530,c_0_544]) ).
cnf(c_0_557,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e3) = e4
| op(e4,e3) = e3 ),
inference(spm,[status(thm)],[c_0_545,c_0_544]) ).
cnf(c_0_558,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[c_0_546,c_0_547]) ).
cnf(c_0_559,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
inference(sr,[status(thm)],[c_0_548,c_0_549]) ).
cnf(c_0_560,plain,
op(op(e0,e2),e2) = e0,
i_0_233 ).
cnf(c_0_561,plain,
( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference(spm,[status(thm)],[c_0_550,c_0_551]) ).
cnf(c_0_562,plain,
op(e4,e2) != op(e0,e2),
i_0_177 ).
cnf(c_0_563,plain,
( op(e4,e0) = e1
| op(e4,e2) = e1
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_524,c_0_552]) ).
cnf(c_0_564,plain,
op(op(e0,e3),e3) = e0,
i_0_232 ).
cnf(c_0_565,plain,
( op(e0,e3) = e2
| op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_553,c_0_554]) ).
cnf(c_0_566,plain,
op(e4,e3) != op(e0,e3),
i_0_167 ).
cnf(c_0_567,plain,
op(e1,e3) != op(e1,e1),
i_0_135 ).
cnf(c_0_568,plain,
( op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_557]) ).
cnf(c_0_569,plain,
op(op(e2,e3),op(e3,e2)) = e3,
i_0_83 ).
cnf(c_0_570,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_534,c_0_558]) ).
cnf(c_0_571,plain,
( op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_559]),c_0_510]),c_0_487]) ).
cnf(c_0_572,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e4,e2) = e0 ),
inference(spm,[status(thm)],[c_0_560,c_0_561]) ).
cnf(c_0_573,plain,
( op(e1,e3) = e4
| op(e4,e0) = e1
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_562,c_0_563]) ).
cnf(c_0_574,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_564,c_0_565]) ).
cnf(c_0_575,plain,
( op(e4,e0) = e1
| op(e4,e2) = e1
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_566,c_0_552]) ).
cnf(c_0_576,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
i_0_42 ).
cnf(c_0_577,plain,
op(e1,e3) != e1,
inference(rw,[status(thm)],[c_0_567,c_0_523]) ).
cnf(c_0_578,plain,
op(op(e1,e3),op(e3,e1)) = e3,
i_0_84 ).
cnf(c_0_579,plain,
( op(e1,e3) = e4
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_543,c_0_568]),c_0_487]) ).
cnf(c_0_580,plain,
( op(e0,op(e3,e2)) = e3
| op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_569,c_0_543]) ).
cnf(c_0_581,plain,
( op(e0,e4) = e3
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_570]),c_0_510]),c_0_494]) ).
cnf(c_0_582,plain,
op(e2,e4) != op(e2,e3),
i_0_121 ).
cnf(c_0_583,plain,
( op(e1,e4) = e0
| op(e2,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_534,c_0_571]) ).
cnf(c_0_584,plain,
( op(e0,e0) = e3
| op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
i_0_68 ).
cnf(c_0_585,plain,
( op(e1,e3) = e4
| op(e4,e0) = e1
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_563]),c_0_478]),c_0_573]) ).
cnf(c_0_586,plain,
( op(e4,e0) = e1
| op(e4,e2) = e1
| op(e0,e3) = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_552]),c_0_478]),c_0_575]) ).
cnf(c_0_587,plain,
( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_588,plain,
( op(e4,op(e3,e1)) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_578,c_0_579]) ).
cnf(c_0_589,plain,
( op(e3,e1) = e0
| op(e0,e4) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_581]),c_0_510]),c_0_494]) ).
cnf(c_0_590,plain,
( op(e0,e4) = e3
| op(e1,e4) = e0
| op(e2,e3) != e0 ),
inference(spm,[status(thm)],[c_0_582,c_0_583]) ).
cnf(c_0_591,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e4,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_584,c_0_510]),c_0_494]) ).
cnf(c_0_592,plain,
op(e1,e3) != op(e1,e2),
i_0_133 ).
cnf(c_0_593,plain,
( op(e0,e2) = e3
| op(e1,e3) = e4
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_486,c_0_585]) ).
cnf(c_0_594,plain,
( op(e0,e3) = e2
| op(e4,e0) = e1
| op(e1,e2) = e4 ),
inference(spm,[status(thm)],[c_0_520,c_0_586]) ).
cnf(c_0_595,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e1,e3) = e4 ),
inference(spm,[status(thm)],[c_0_524,c_0_587]) ).
cnf(c_0_596,plain,
( op(e2,e3) != e0
| op(e3,op(e2,e3)) != e4
| op(op(e2,e3),op(e3,op(e2,e3))) != e1 ),
i_0_253 ).
cnf(c_0_597,plain,
( op(e0,e4) = e3
| op(e1,e3) = e0
| op(e0,e3) = e4
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_588,c_0_589]) ).
cnf(c_0_598,plain,
op(op(e1,e4),e4) = e1,
i_0_226 ).
cnf(c_0_599,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e1,e4) = e0
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_590,c_0_543]) ).
cnf(c_0_600,plain,
op(e3,e0) != op(e1,e0),
i_0_195 ).
cnf(c_0_601,plain,
( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_486,c_0_591]) ).
cnf(c_0_602,plain,
( op(e1,e0) = e4
| op(e0,e2) = e3
| op(e1,e2) != e4 ),
inference(spm,[status(thm)],[c_0_592,c_0_593]) ).
cnf(c_0_603,plain,
( op(e1,e2) = e4
| op(e0,e3) = e2
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_486,c_0_594]) ).
cnf(c_0_604,plain,
( op(e0,e0) = e4
| op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
i_0_66 ).
cnf(c_0_605,plain,
( op(e1,e3) = e4
| op(e2,e3) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_530,c_0_595]),c_0_523]),c_0_468]) ).
cnf(c_0_606,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4
| op(e0,op(e3,e0)) != e1
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_596,c_0_543]) ).
cnf(c_0_607,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e0,e4) = e3
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_486,c_0_597]) ).
cnf(c_0_608,plain,
( op(e0,e4) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0
| op(e0,e4) = e1 ),
inference(spm,[status(thm)],[c_0_598,c_0_599]) ).
cnf(c_0_609,plain,
( op(e4,e1) = e0
| op(e4,e1) = e1
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
i_0_4 ).
cnf(c_0_610,plain,
( op(e1,e0) = e3
| op(e2,e0) = e3
| op(e3,e0) = e3
| op(e1,e0) != e4 ),
inference(spm,[status(thm)],[c_0_600,c_0_601]) ).
cnf(c_0_611,plain,
( op(e0,e3) = e2
| op(e0,e2) = e3
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_602,c_0_603]) ).
cnf(c_0_612,plain,
( op(e0,e0) = e1
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
i_0_73 ).
cnf(c_0_613,plain,
op(op(e0,e4),op(e4,e0)) = e4,
i_0_80 ).
cnf(c_0_614,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e3,e0) = e4
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_604,c_0_510]),c_0_487]) ).
cnf(c_0_615,plain,
op(op(e0,e4),e4) = e0,
i_0_231 ).
cnf(c_0_616,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e1,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_605]),c_0_464]) ).
cnf(c_0_617,plain,
( op(e0,e4) = e3
| op(e0,e3) = e4
| op(e1,e3) = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_607]),c_0_608]) ).
cnf(c_0_618,plain,
op(op(e1,e4),op(e4,e1)) = e4,
i_0_79 ).
cnf(c_0_619,plain,
( op(e4,e1) = e0
| op(e4,e1) = e2
| op(e4,e1) = e3
| op(e4,e1) = e4 ),
inference(sr,[status(thm)],[c_0_609,c_0_529]) ).
cnf(c_0_620,plain,
op(op(e0,e3),op(e3,e0)) = e3,
i_0_85 ).
cnf(c_0_621,plain,
( op(e0,e2) = e3
| op(e0,e3) = e2
| op(e3,e0) = e3
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_611]),c_0_535]) ).
cnf(c_0_622,plain,
op(e0,e3) != op(e0,e2),
i_0_143 ).
cnf(c_0_623,plain,
( op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e3) = e1
| op(e0,e4) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_612,c_0_510]),c_0_478]) ).
cnf(c_0_624,plain,
( op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_614]),c_0_615]),c_0_487]) ).
cnf(c_0_625,plain,
op(op(e4,e3),op(e3,e4)) = e3,
i_0_81 ).
cnf(c_0_626,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| op(e4,e3) = e1 ),
inference(spm,[status(thm)],[c_0_553,c_0_616]) ).
cnf(c_0_627,plain,
( op(e0,e3) = e4
| op(e0,e4) = e3
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_553,c_0_617]) ).
cnf(c_0_628,plain,
( op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_618,c_0_619]),c_0_598]),c_0_464]) ).
cnf(c_0_629,plain,
( op(e2,e0) = e3
| op(e0,e3) = e2
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_564]),c_0_494]) ).
cnf(c_0_630,plain,
( op(e0,e3) = e1
| op(e0,e3) = e2
| op(e0,e2) != e4 ),
inference(spm,[status(thm)],[c_0_622,c_0_565]) ).
cnf(c_0_631,plain,
( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[c_0_623,c_0_480]) ).
cnf(c_0_632,plain,
op(e4,e0) != op(e1,e0),
i_0_194 ).
cnf(c_0_633,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_493,c_0_624]) ).
cnf(c_0_634,plain,
( op(e1,op(e3,e4)) = e3
| op(e0,e3) = e1
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_625,c_0_626]) ).
cnf(c_0_635,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e3,e4) = e0 ),
inference(spm,[status(thm)],[c_0_615,c_0_627]) ).
cnf(c_0_636,plain,
( op(e1,e3) != e4
| op(e3,op(e1,e3)) != e0
| op(op(e1,e3),op(e3,op(e1,e3))) != e2 ),
i_0_350 ).
cnf(c_0_637,plain,
( op(e1,e3) = e4
| op(e4,e0) = e1
| op(e1,e2) = e4 ),
inference(spm,[status(thm)],[c_0_520,c_0_563]) ).
cnf(c_0_638,plain,
( op(e4,e1) = e0
| op(e4,e1) = e2
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[c_0_463,c_0_628]) ).
cnf(c_0_639,plain,
( op(e0,e2) = e3
| op(e0,e3) = e2
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_500,c_0_629]) ).
cnf(c_0_640,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference(spm,[status(thm)],[c_0_630,c_0_561]) ).
cnf(c_0_641,plain,
( op(e0,e3) = e4
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_627]),c_0_468]) ).
cnf(c_0_642,plain,
e4 != e2,
i_0_202 ).
cnf(c_0_643,plain,
op(e2,e0) != op(e0,e0),
i_0_199 ).
cnf(c_0_644,plain,
( op(e2,e0) = e4
| op(e1,e0) = e4
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_645,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_634,c_0_635]) ).
cnf(c_0_646,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1
| op(e4,op(e3,e4)) != e2
| op(e3,e4) != e0 ),
inference(spm,[status(thm)],[c_0_636,c_0_616]) ).
cnf(c_0_647,plain,
( op(e1,e2) = e4
| op(e1,e3) = e4
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_486,c_0_637]) ).
cnf(c_0_648,plain,
op(e4,e1) != op(e2,e1),
i_0_182 ).
cnf(c_0_649,plain,
( op(e3,e1) = e4
| op(e4,e1) = e0
| op(e2,e1) = e4 ),
inference(spm,[status(thm)],[c_0_463,c_0_638]) ).
cnf(c_0_650,plain,
( op(e2,op(e0,e3)) = e0
| op(e0,e3) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_491,c_0_639]) ).
cnf(c_0_651,plain,
( op(e0,e3) = e1
| op(e0,e2) = e3
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_640,c_0_641]),c_0_642]),c_0_464]) ).
cnf(c_0_652,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
i_0_55 ).
cnf(c_0_653,plain,
op(e2,e0) != e0,
inference(rw,[status(thm)],[c_0_643,c_0_510]) ).
cnf(c_0_654,plain,
op(e1,e3) != op(e0,e3),
i_0_170 ).
cnf(c_0_655,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e2,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_645]),c_0_535]) ).
cnf(c_0_656,plain,
( op(e0,e3) = e1
| op(e0,e3) = e4
| op(e4,e0) != e2 ),
inference(spm,[status(thm)],[c_0_646,c_0_635]) ).
cnf(c_0_657,plain,
( op(e1,e0) = e4
| op(e1,e2) = e4
| op(e4,e3) = e1 ),
inference(spm,[status(thm)],[c_0_553,c_0_647]) ).
cnf(c_0_658,plain,
( op(e2,e0) != e3
| op(e0,op(e2,e0)) != e1
| op(op(e2,e0),op(e0,op(e2,e0))) != e4 ),
i_0_308 ).
cnf(c_0_659,plain,
( op(e2,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_648,c_0_649]) ).
cnf(c_0_660,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e2,e1) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_651]),c_0_472]) ).
cnf(c_0_661,plain,
op(op(e2,e4),e4) = e2,
i_0_221 ).
cnf(c_0_662,plain,
( op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
inference(sr,[status(thm)],[c_0_652,c_0_653]) ).
cnf(c_0_663,plain,
op(e0,e1) != op(e0,e0),
i_0_150 ).
cnf(c_0_664,plain,
( op(e1,e0) = e4
| op(e1,e2) = e4
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[c_0_654,c_0_647]) ).
cnf(c_0_665,plain,
( op(e0,e3) = e4
| op(e0,e3) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_500,c_0_655]),c_0_656]) ).
cnf(c_0_666,plain,
( op(e1,e2) = e4
| op(e1,e0) = e4
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_566,c_0_657]) ).
cnf(c_0_667,plain,
op(e1,e3) != op(e1,e0),
i_0_138 ).
cnf(c_0_668,plain,
( op(e0,e2) = e3
| op(e0,e3) = e2
| op(e3,op(e0,e3)) != e4
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_658,c_0_629]) ).
cnf(c_0_669,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_660]),c_0_487]) ).
cnf(c_0_670,plain,
( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_661,c_0_662]) ).
cnf(c_0_671,plain,
op(e4,e0) != op(e0,e0),
i_0_197 ).
cnf(c_0_672,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
i_0_64 ).
cnf(c_0_673,plain,
op(e0,e1) != e0,
inference(rw,[status(thm)],[c_0_663,c_0_510]) ).
cnf(c_0_674,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e1,e2) != e4 ),
inference(spm,[status(thm)],[c_0_592,c_0_579]) ).
cnf(c_0_675,plain,
( op(e1,e2) = e4
| op(e1,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_665]),c_0_666]) ).
cnf(c_0_676,plain,
( op(e0,e3) = e4
| op(e1,e3) = e0
| op(e1,e0) != e4 ),
inference(spm,[status(thm)],[c_0_667,c_0_579]) ).
cnf(c_0_677,plain,
op(e0,e2) != op(e0,e1),
i_0_146 ).
cnf(c_0_678,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_668,c_0_651]),c_0_472]),c_0_669]) ).
cnf(c_0_679,plain,
( op(e0,e3) = e1
| op(e1,e3) = e4
| op(e1,e3) = e2 ),
inference(spm,[status(thm)],[c_0_542,c_0_605]) ).
cnf(c_0_680,plain,
op(op(e1,e2),op(e2,e1)) = e2,
i_0_89 ).
cnf(c_0_681,plain,
( op(e0,e4) = e2
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_542,c_0_670]) ).
cnf(c_0_682,plain,
( op(e4,e0) = e0
| op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
i_0_5 ).
cnf(c_0_683,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_671,c_0_510]) ).
cnf(c_0_684,plain,
( op(e3,e0) = e0
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
i_0_10 ).
cnf(c_0_685,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
i_0_72 ).
cnf(c_0_686,plain,
op(e1,e1) != op(e1,e0),
i_0_140 ).
cnf(c_0_687,plain,
( op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
inference(sr,[status(thm)],[c_0_672,c_0_673]) ).
cnf(c_0_688,plain,
( op(e1,e3) = e0
| op(e0,e3) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_675]),c_0_676]) ).
cnf(c_0_689,plain,
( op(e0,e2) = e1
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_677,c_0_678]) ).
cnf(c_0_690,plain,
( op(e1,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[c_0_654,c_0_679]) ).
cnf(c_0_691,plain,
( op(e0,op(e2,e1)) = e2
| op(e0,e2) = e4
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_680,c_0_551]) ).
cnf(c_0_692,plain,
( op(e0,e3) = e2
| op(e2,e1) = e0
| op(e0,e4) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_538,c_0_681]),c_0_510]),c_0_501]) ).
cnf(c_0_693,plain,
( op(e3,e1) = e0
| op(e0,e4) = e3
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_526,c_0_581]) ).
cnf(c_0_694,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e4,e0) = e3
| op(e4,e0) = e4 ),
inference(sr,[status(thm)],[c_0_682,c_0_683]) ).
cnf(c_0_695,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[c_0_684,c_0_547]) ).
cnf(c_0_696,plain,
( op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_685,c_0_510]),c_0_478]) ).
cnf(c_0_697,plain,
op(e1,e0) != e1,
inference(rw,[status(thm)],[c_0_686,c_0_523]) ).
cnf(c_0_698,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e4 ),
inference(spm,[status(thm)],[c_0_463,c_0_687]) ).
cnf(c_0_699,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
i_0_67 ).
cnf(c_0_700,plain,
( op(e0,e3) = e4
| op(e1,e2) != e0 ),
inference(spm,[status(thm)],[c_0_592,c_0_688]) ).
cnf(c_0_701,plain,
( op(e1,e2) = e0
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_560,c_0_689]) ).
cnf(c_0_702,plain,
( op(e0,e2) = e3
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_602,c_0_675]) ).
cnf(c_0_703,plain,
( op(e0,e3) = e1
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_665]),c_0_464]) ).
cnf(c_0_704,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_692]),c_0_510]),c_0_501]) ).
cnf(c_0_705,plain,
( op(e0,e2) = e3
| op(e0,e4) = e3
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_467,c_0_693]) ).
cnf(c_0_706,plain,
e3 != e2,
i_0_203 ).
cnf(c_0_707,plain,
( op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_694]),c_0_615]),c_0_487]) ).
cnf(c_0_708,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_493,c_0_695]) ).
cnf(c_0_709,plain,
( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[c_0_696,c_0_697]) ).
cnf(c_0_710,plain,
( op(e0,e1) = e4
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_467,c_0_698]) ).
cnf(c_0_711,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_699,c_0_510]),c_0_487]) ).
cnf(c_0_712,plain,
( op(e0,e3) = e4
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_700,c_0_701]) ).
cnf(c_0_713,plain,
( op(e0,e2) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_610,c_0_702]),c_0_535]) ).
cnf(c_0_714,plain,
( op(e0,e3) = e1
| op(e0,e3) != e2 ),
inference(spm,[status(thm)],[c_0_654,c_0_703]) ).
cnf(c_0_715,plain,
( op(e0,e1) = e3
| op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_705]),c_0_706]) ).
cnf(c_0_716,plain,
( op(e4,e0) = e1
| op(e4,e0) = e2
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_486,c_0_707]) ).
cnf(c_0_717,plain,
( op(e2,e0) = e1
| op(e3,e0) = e1
| op(e3,e0) = e2
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_709]),c_0_468]) ).
cnf(c_0_718,plain,
( op(e0,e1) = e3
| op(e2,e1) = e0
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_710,c_0_523]),c_0_478]) ).
cnf(c_0_719,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e4,e4) = e0 ),
inference(spm,[status(thm)],[c_0_615,c_0_711]) ).
cnf(c_0_720,plain,
( op(e4,e3) != e0
| op(e3,op(e4,e3)) != e2
| op(op(e4,e3),op(e3,op(e4,e3))) != e1 ),
i_0_251 ).
cnf(c_0_721,plain,
( op(e4,e3) = e0
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_564,c_0_712]) ).
cnf(c_0_722,plain,
( op(e2,e0) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_713]),c_0_564]),c_0_494]) ).
cnf(c_0_723,plain,
( op(e0,e2) = e3
| op(e0,e2) = e4
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_714,c_0_715]),c_0_472]) ).
cnf(c_0_724,plain,
( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_471,c_0_692]) ).
cnf(c_0_725,plain,
op(e4,e0) != op(e3,e0),
i_0_191 ).
cnf(c_0_726,plain,
( op(e3,e0) = e4
| op(e4,e0) = e1
| op(e2,e0) = e4 ),
inference(spm,[status(thm)],[c_0_486,c_0_716]) ).
cnf(c_0_727,plain,
( op(e3,e0) = e2
| op(e3,e0) = e1
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_717]),c_0_564]),c_0_494]) ).
cnf(c_0_728,plain,
op(e1,e4) != op(e1,e3),
i_0_131 ).
cnf(c_0_729,plain,
( op(e0,e4) = e3
| op(e1,e4) = e0
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_661,c_0_583]) ).
cnf(c_0_730,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_659,c_0_718]),c_0_487]) ).
cnf(c_0_731,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_719]),c_0_510]),c_0_487]) ).
cnf(c_0_732,plain,
( op(e0,op(e3,e0)) != e1
| op(e3,e0) != e2
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_720,c_0_721]) ).
cnf(c_0_733,plain,
( op(e0,e2) = e3
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_500,c_0_722]) ).
cnf(c_0_734,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_723]),c_0_464]),c_0_535]) ).
cnf(c_0_735,plain,
( op(e0,e1) = e2
| op(e0,e3) = e2
| op(e0,e2) = e1
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_724]),c_0_472]) ).
cnf(c_0_736,plain,
( op(e2,e0) = e4
| op(e3,e0) = e4
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_725,c_0_726]) ).
cnf(c_0_737,plain,
( op(e2,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e3 ),
inference(spm,[status(thm)],[c_0_493,c_0_727]) ).
cnf(c_0_738,plain,
( op(e0,e4) = e2
| op(e0,e4) = e3
| op(e1,e3) != e0 ),
inference(spm,[status(thm)],[c_0_728,c_0_729]) ).
cnf(c_0_739,plain,
( op(e4,e1) != e3
| op(e1,op(e4,e1)) != e2
| op(op(e4,e1),op(e1,op(e4,e1))) != e0 ),
i_0_317 ).
cnf(c_0_740,plain,
( op(e0,e1) = e3
| op(e0,e1) = e4
| op(e4,e1) = e3 ),
inference(spm,[status(thm)],[c_0_467,c_0_730]) ).
cnf(c_0_741,plain,
( op(e0,e2) = e4
| op(e0,e1) = e4
| op(e1,e3) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_690,c_0_731]),c_0_464]) ).
cnf(c_0_742,plain,
op(e0,e2) = e3,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_732,c_0_733]),c_0_734]),c_0_678]) ).
cnf(c_0_743,plain,
( op(e0,e2) = e1
| op(e3,e2) = e0 ),
inference(spm,[status(thm)],[c_0_560,c_0_678]) ).
cnf(c_0_744,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_641]),c_0_642]),c_0_464]) ).
cnf(c_0_745,plain,
( op(e2,e0) = e3
| op(e2,e0) = e1
| op(e2,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_736,c_0_737]),c_0_464]) ).
cnf(c_0_746,plain,
op(e4,e0) != op(e2,e0),
i_0_192 ).
cnf(c_0_747,plain,
( op(e0,e1) = e3
| op(e1,e1) = e0
| op(e0,e1) = e4
| op(e0,e1) = e2 ),
inference(spm,[status(thm)],[c_0_471,c_0_710]) ).
cnf(c_0_748,plain,
op(e0,e4) != op(e0,e2),
i_0_142 ).
cnf(c_0_749,plain,
( op(e0,e3) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_738,c_0_617]) ).
cnf(c_0_750,plain,
( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e3,op(e1,e3)) != e0
| op(e1,e3) != e2 ),
inference(spm,[status(thm)],[c_0_739,c_0_740]) ).
cnf(c_0_751,plain,
( op(e1,e3) = e2
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_741,c_0_742]),c_0_535]) ).
cnf(c_0_752,plain,
op(e3,e2) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_743,c_0_742]),c_0_468]) ).
cnf(c_0_753,plain,
op(e0,e1) != e3,
inference(rw,[status(thm)],[c_0_677,c_0_742]) ).
cnf(c_0_754,plain,
( op(e0,e1) = e2
| op(e0,e2) = e1
| op(e1,e3) = e0 ),
inference(spm,[status(thm)],[c_0_564,c_0_744]) ).
cnf(c_0_755,plain,
( op(e2,e0) = e1
| op(e2,e0) = e3
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_500,c_0_745]) ).
cnf(c_0_756,plain,
( op(e1,e2) = e4
| op(e0,e3) = e2
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_746,c_0_594]) ).
cnf(c_0_757,plain,
( op(e0,e1) = e2
| op(e0,e1) = e4
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_747]),c_0_510]),c_0_478]) ).
cnf(c_0_758,plain,
( op(e0,e4) = e2
| op(e0,e3) = e4
| op(e0,e2) != e3 ),
inference(spm,[status(thm)],[c_0_748,c_0_749]) ).
cnf(c_0_759,plain,
( op(e0,e1) = e2
| op(e0,e3) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_744,c_0_742]),c_0_468]) ).
cnf(c_0_760,plain,
op(e0,e1) = e4,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_751]),c_0_752])]),c_0_753]) ).
cnf(c_0_761,plain,
op(e2,e3) != op(e2,e0),
i_0_128 ).
cnf(c_0_762,plain,
( op(e1,e3) = e0
| op(e0,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_754,c_0_742]),c_0_468]) ).
cnf(c_0_763,plain,
( op(e1,e2) = e4
| op(e0,e3) = e2
| op(e2,e0) = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_594]),c_0_472]),c_0_756]) ).
cnf(c_0_764,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e4,e1) = e0 ),
inference(spm,[status(thm)],[c_0_477,c_0_757]) ).
cnf(c_0_765,plain,
( op(e3,e0) != e4
| op(e0,op(e3,e0)) != e2
| op(op(e3,e0),op(e0,op(e3,e0))) != e1 ),
i_0_335 ).
cnf(c_0_766,plain,
( op(e0,e3) = e4
| op(e0,e4) = e2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_758,c_0_742])]) ).
cnf(c_0_767,plain,
op(e0,e3) = e1,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_759,c_0_760]),c_0_642]) ).
cnf(c_0_768,plain,
( op(e0,e3) = e4
| op(e1,e3) = e4
| op(e2,e0) != e4 ),
inference(spm,[status(thm)],[c_0_761,c_0_568]) ).
cnf(c_0_769,plain,
op(e1,e3) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_762,c_0_760]),c_0_642]) ).
cnf(c_0_770,plain,
( op(e0,e3) = e2
| op(e1,e2) = e4
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_500,c_0_763]) ).
cnf(c_0_771,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3
| op(e2,e1) != e0 ),
inference(spm,[status(thm)],[c_0_648,c_0_764]) ).
cnf(c_0_772,plain,
( op(e1,e0) = e4
| op(e2,e0) = e4
| op(e4,op(e0,e4)) != e1
| op(e0,e4) != e2 ),
inference(spm,[status(thm)],[c_0_765,c_0_624]) ).
cnf(c_0_773,plain,
op(e0,e4) = e2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_766,c_0_767]),c_0_464]) ).
cnf(c_0_774,plain,
op(e2,e0) != e4,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_768,c_0_767]),c_0_464]),c_0_769]),c_0_487]) ).
cnf(c_0_775,plain,
( op(e1,e0) = e4
| op(e4,e2) = e1 ),
inference(spm,[status(thm)],[c_0_550,c_0_675]) ).
cnf(c_0_776,plain,
( op(e2,op(e0,e3)) = e0
| op(e1,e2) = e4
| op(e0,e3) = e2 ),
inference(spm,[status(thm)],[c_0_491,c_0_770]) ).
cnf(c_0_777,plain,
op(e2,e1) != e0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_771,c_0_760]),c_0_760]),c_0_642]),c_0_535]) ).
cnf(c_0_778,plain,
op(e1,e2) != op(e1,e0),
i_0_139 ).
cnf(c_0_779,plain,
op(e1,e0) = e4,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_772,c_0_773]),c_0_773])]),c_0_774]),c_0_775]) ).
cnf(c_0_780,plain,
op(e1,e2) = e4,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_776,c_0_767]),c_0_767]),c_0_777]),c_0_472]) ).
cnf(c_0_781,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_778,c_0_779]),c_0_780])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG193+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 07:11:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 11.34/2.83 # ENIGMATIC: Solved by autoschedule:
% 11.34/2.83 # No SInE strategy applied
% 11.34/2.83 # Trying AutoSched0 for 150 seconds
% 11.34/2.83 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 11.34/2.83 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.34/2.83 #
% 11.34/2.83 # Preprocessing time : 0.028 s
% 11.34/2.83 # Presaturation interreduction done
% 11.34/2.83
% 11.34/2.83 # Proof found!
% 11.34/2.83 # SZS status Theorem
% 11.34/2.83 # SZS output start CNFRefutation
% See solution above
% 11.34/2.83 # Training examples: 0 positive, 0 negative
% 11.34/2.83
% 11.34/2.83 # -------------------------------------------------
% 11.34/2.83 # User time : 0.558 s
% 11.34/2.83 # System time : 0.020 s
% 11.34/2.83 # Total time : 0.578 s
% 11.34/2.83 # Maximum resident set size: 7116 pages
% 11.34/2.83
%------------------------------------------------------------------------------