TSTP Solution File: ALG192+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG192+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 15:32:51 EDT 2022
% Result : Unsatisfiable 9.97s 2.61s
% Output : CNFRefutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 76
% Syntax : Number of clauses : 260 ( 128 unt; 114 nHn; 260 RR)
% Number of literals : 615 ( 614 equ; 130 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_96,plain,
op(op(e4,e0),op(e0,e4)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_96) ).
cnf(i_0_74,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_74) ).
cnf(i_0_231,plain,
op(e0,op(e0,e4)) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_231) ).
cnf(i_0_207,plain,
e4 != e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_207) ).
cnf(i_0_97,plain,
op(op(e3,e0),op(e0,e3)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_97) ).
cnf(i_0_232,plain,
op(e0,op(e0,e3)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_232) ).
cnf(i_0_208,plain,
e3 != e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_208) ).
cnf(i_0_98,plain,
op(op(e2,e0),op(e0,e2)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_98) ).
cnf(i_0_233,plain,
op(e0,op(e0,e2)) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_233) ).
cnf(i_0_209,plain,
e2 != e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_209) ).
cnf(i_0_99,plain,
op(op(e1,e0),op(e0,e1)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_99) ).
cnf(i_0_234,plain,
op(e0,op(e0,e1)) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_234) ).
cnf(i_0_210,plain,
e1 != e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_210) ).
cnf(i_0_71,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_71) ).
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/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_67) ).
cnf(i_0_69,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_69) ).
cnf(i_0_198,plain,
op(e3,e0) != op(e0,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_198) ).
cnf(i_0_80,plain,
op(op(e0,e4),op(e4,e0)) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_80) ).
cnf(i_0_215,plain,
op(e4,op(e4,e0)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_215) ).
cnf(i_0_203,plain,
e3 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_203) ).
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/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_45) ).
cnf(i_0_77,plain,
op(op(e3,e4),op(e4,e3)) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_77) ).
cnf(i_0_37,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_37) ).
cnf(i_0_212,plain,
op(e4,op(e4,e3)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_212) ).
cnf(i_0_201,plain,
e4 != e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_201) ).
cnf(i_0_202,plain,
e4 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_202) ).
cnf(i_0_85,plain,
op(op(e0,e3),op(e3,e0)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_85) ).
cnf(i_0_220,plain,
op(e3,op(e3,e0)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_220) ).
cnf(i_0_216,plain,
op(e3,op(e3,e4)) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_216) ).
cnf(i_0_82,plain,
op(op(e3,e3),op(e3,e3)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_82) ).
cnf(i_0_217,plain,
op(e3,op(e3,e3)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_217) ).
cnf(i_0_6,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_6) ).
cnf(i_0_151,plain,
op(e4,e4) != op(e3,e4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_151) ).
cnf(i_0_145,plain,
op(e0,e3) != op(e0,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_145) ).
cnf(i_0_90,plain,
op(op(e0,e2),op(e2,e0)) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_90) ).
cnf(i_0_225,plain,
op(e2,op(e2,e0)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_225) ).
cnf(i_0_188,plain,
op(e3,e1) != op(e0,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_188) ).
cnf(i_0_200,plain,
op(e1,e0) != op(e0,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_200) ).
cnf(i_0_197,plain,
op(e4,e0) != op(e0,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_197) ).
cnf(i_0_65,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_65) ).
cnf(i_0_35,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_35) ).
cnf(i_0_114,plain,
op(e3,e4) != op(e3,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_114) ).
cnf(i_0_218,plain,
op(e3,op(e3,e2)) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_218) ).
cnf(i_0_346,plain,
( op(e0,e2) != e3
| op(op(e0,e2),e0) != e4
| op(e0,op(op(e0,e2),e0)) != e1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_346) ).
cnf(i_0_219,plain,
op(e3,op(e3,e1)) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_219) ).
cnf(i_0_226,plain,
op(e1,op(e1,e4)) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_226) ).
cnf(i_0_76,plain,
op(op(e4,e4),op(e4,e4)) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_76) ).
cnf(i_0_270,plain,
( op(e0,e2) != e3
| op(op(e0,e2),e0) != e1
| op(e0,op(op(e0,e2),e0)) != e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_270) ).
cnf(i_0_227,plain,
op(e1,op(e1,e3)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_227) ).
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/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_73) ).
cnf(i_0_115,plain,
op(e3,e3) != op(e3,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_115) ).
cnf(i_0_144,plain,
op(e0,e4) != op(e0,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_144) ).
cnf(i_0_228,plain,
op(e1,op(e1,e2)) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_228) ).
cnf(i_0_171,plain,
op(e4,e2) != op(e3,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_171) ).
cnf(i_0_147,plain,
op(e0,e4) != op(e0,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_147) ).
cnf(i_0_178,plain,
op(e3,e2) != op(e0,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_178) ).
cnf(i_0_94,plain,
op(op(e1,e1),op(e1,e1)) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_94) ).
cnf(i_0_21,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_21) ).
cnf(i_0_204,plain,
e4 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_204) ).
cnf(i_0_340,plain,
( op(e0,e1) != e3
| op(op(e0,e1),e0) != e4
| op(e0,op(op(e0,e1),e0)) != e2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_340) ).
cnf(i_0_230,plain,
op(e1,op(e1,e0)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_230) ).
cnf(i_0_214,plain,
op(e4,op(e4,e1)) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_214) ).
cnf(i_0_195,plain,
op(e3,e0) != op(e1,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_195) ).
cnf(i_0_294,plain,
( op(e0,e1) != e3
| op(op(e0,e1),e0) != e2
| op(e0,op(op(e0,e1),e0)) != e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_294) ).
cnf(i_0_79,plain,
op(op(e1,e4),op(e4,e1)) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_79) ).
cnf(i_0_213,plain,
op(e4,op(e4,e2)) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_213) ).
cnf(i_0_236,plain,
( op(e3,e1) != e4
| op(op(e3,e1),e3) != e0
| op(e3,op(op(e3,e1),e3)) != e2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_236) ).
cnf(i_0_117,plain,
op(e3,e4) != op(e3,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_117) ).
cnf(i_0_280,plain,
( op(e0,e4) != e3
| op(op(e0,e4),e0) != e1
| op(e0,op(op(e0,e4),e0)) != e2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_280) ).
cnf(i_0_206,plain,
e2 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_206) ).
cnf(i_0_205,plain,
e3 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_205) ).
cnf(i_0_120,plain,
op(e3,e1) != op(e3,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_120) ).
cnf(i_0_142,plain,
op(e0,e4) != op(e0,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_142) ).
cnf(i_0_324,plain,
( op(e0,e2) != e1
| op(op(e0,e2),e0) != e3
| op(e0,op(op(e0,e2),e0)) != e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_324) ).
cnf(i_0_95,plain,
op(op(e0,e1),op(e1,e0)) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_95) ).
cnf(i_0_179,plain,
op(e2,e2) != op(e0,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-l_i38w6k/input.p',i_0_179) ).
cnf(c_0_423,plain,
op(op(e4,e0),op(e0,e4)) = e0,
i_0_96 ).
cnf(c_0_424,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0
| op(e3,e0) = e0
| op(e4,e0) = e0 ),
i_0_74 ).
cnf(c_0_425,plain,
op(e0,op(e0,e4)) = e4,
i_0_231 ).
cnf(c_0_426,plain,
e4 != e0,
i_0_207 ).
cnf(c_0_427,plain,
op(op(e3,e0),op(e0,e3)) = e0,
i_0_97 ).
cnf(c_0_428,plain,
( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_425]),c_0_426]) ).
cnf(c_0_429,plain,
op(e0,op(e0,e3)) = e3,
i_0_232 ).
cnf(c_0_430,plain,
e3 != e0,
i_0_208 ).
cnf(c_0_431,plain,
op(op(e2,e0),op(e0,e2)) = e0,
i_0_98 ).
cnf(c_0_432,plain,
( op(e0,e0) = e0
| op(e1,e0) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_428]),c_0_429]),c_0_430]) ).
cnf(c_0_433,plain,
op(e0,op(e0,e2)) = e2,
i_0_233 ).
cnf(c_0_434,plain,
e2 != e0,
i_0_209 ).
cnf(c_0_435,plain,
op(op(e1,e0),op(e0,e1)) = e0,
i_0_99 ).
cnf(c_0_436,plain,
( op(e1,e0) = e0
| op(e0,e0) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_431,c_0_432]),c_0_433]),c_0_434]) ).
cnf(c_0_437,plain,
op(e0,op(e0,e1)) = e1,
i_0_234 ).
cnf(c_0_438,plain,
e1 != e0,
i_0_210 ).
cnf(c_0_439,plain,
( op(e0,e0) = e2
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 ),
i_0_71 ).
cnf(c_0_440,plain,
op(e0,e0) = e0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_436]),c_0_437]),c_0_438]) ).
cnf(c_0_441,plain,
( op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e3) = e2
| op(e0,e4) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_440]),c_0_434]) ).
cnf(c_0_442,plain,
( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_425,c_0_441]) ).
cnf(c_0_443,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_444,plain,
( op(e0,e2) = e4
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(spm,[status(thm)],[c_0_429,c_0_442]) ).
cnf(c_0_445,plain,
( op(e0,e0) = e3
| op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
i_0_69 ).
cnf(c_0_446,plain,
op(e3,e0) != op(e0,e0),
i_0_198 ).
cnf(c_0_447,plain,
op(op(e0,e4),op(e4,e0)) = e4,
i_0_80 ).
cnf(c_0_448,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_443,c_0_440]),c_0_426]) ).
cnf(c_0_449,plain,
op(e4,op(e4,e0)) = e0,
i_0_215 ).
cnf(c_0_450,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_433,c_0_444]) ).
cnf(c_0_451,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e4) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_445,c_0_440]),c_0_430]) ).
cnf(c_0_452,plain,
e3 != e2,
i_0_203 ).
cnf(c_0_453,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_454,plain,
op(e3,e0) != e0,
inference(rw,[status(thm)],[c_0_446,c_0_440]) ).
cnf(c_0_455,plain,
op(op(e3,e4),op(e4,e3)) = e4,
i_0_77 ).
cnf(c_0_456,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
i_0_37 ).
cnf(c_0_457,plain,
op(e4,op(e4,e3)) = e3,
i_0_212 ).
cnf(c_0_458,plain,
e4 != e3,
i_0_201 ).
cnf(c_0_459,plain,
( op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_448]),c_0_449]),c_0_426]) ).
cnf(c_0_460,plain,
e4 != e2,
i_0_202 ).
cnf(c_0_461,plain,
op(op(e0,e3),op(e3,e0)) = e3,
i_0_85 ).
cnf(c_0_462,plain,
( op(e0,e3) = e3
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e2) = e2
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_451]),c_0_452]) ).
cnf(c_0_463,plain,
op(e3,op(e3,e0)) = e0,
i_0_220 ).
cnf(c_0_464,plain,
op(e3,op(e3,e4)) = e4,
i_0_216 ).
cnf(c_0_465,plain,
( op(e3,e1) = e0
| op(e3,e2) = e0
| op(e3,e3) = e0
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[c_0_453,c_0_454]) ).
cnf(c_0_466,plain,
op(op(e3,e3),op(e3,e3)) = e3,
i_0_82 ).
cnf(c_0_467,plain,
( op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_456]),c_0_457]),c_0_458]) ).
cnf(c_0_468,plain,
op(e3,op(e3,e3)) = e3,
i_0_217 ).
cnf(c_0_469,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e4) = e3
| op(e3,e4) = e4 ),
i_0_6 ).
cnf(c_0_470,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e1) = e2
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_459]),c_0_460]) ).
cnf(c_0_471,plain,
( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_462]),c_0_463]),c_0_430]) ).
cnf(c_0_472,plain,
( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_464,c_0_465]) ).
cnf(c_0_473,plain,
op(e4,e4) != op(e3,e4),
i_0_151 ).
cnf(c_0_474,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e4,e4) = e3 ),
inference(spm,[status(thm)],[c_0_466,c_0_467]) ).
cnf(c_0_475,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e4) = e3 ),
inference(spm,[status(thm)],[c_0_468,c_0_467]) ).
cnf(c_0_476,plain,
( op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_469]),c_0_457]),c_0_458]) ).
cnf(c_0_477,plain,
op(e0,e3) != op(e0,e1),
i_0_145 ).
cnf(c_0_478,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_425,c_0_451]) ).
cnf(c_0_479,plain,
op(op(e0,e2),op(e2,e0)) = e2,
i_0_90 ).
cnf(c_0_480,plain,
( op(e0,e1) = e3
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e1) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_471]),c_0_458]),c_0_452]) ).
cnf(c_0_481,plain,
op(e2,op(e2,e0)) = e0,
i_0_225 ).
cnf(c_0_482,plain,
( op(e3,e0) = e4
| op(e3,e1) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_472]),c_0_440]),c_0_430]) ).
cnf(c_0_483,plain,
( op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_474]),c_0_475]) ).
cnf(c_0_484,plain,
( op(e3,e4) = e0
| op(e3,e4) = e1
| op(e3,e4) = e2
| op(e3,e3) = e4 ),
inference(spm,[status(thm)],[c_0_464,c_0_476]) ).
cnf(c_0_485,plain,
( op(e0,e1) = e3
| op(e0,e2) = e3
| op(e0,e3) = e3
| op(e0,e1) != e4 ),
inference(spm,[status(thm)],[c_0_477,c_0_478]) ).
cnf(c_0_486,plain,
( op(e0,e1) = e4
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_479,c_0_480]),c_0_481]),c_0_434]) ).
cnf(c_0_487,plain,
op(e3,e1) != op(e0,e1),
i_0_188 ).
cnf(c_0_488,plain,
( op(e3,e1) = e4
| op(e3,e1) = e0
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_483]),c_0_426]) ).
cnf(c_0_489,plain,
op(e1,e0) != op(e0,e0),
i_0_200 ).
cnf(c_0_490,plain,
op(e4,e0) != op(e0,e0),
i_0_197 ).
cnf(c_0_491,plain,
( op(e3,e3) = e4
| op(e3,e4) = e1
| op(e3,e4) = e0
| op(e3,e2) = e4 ),
inference(spm,[status(thm)],[c_0_464,c_0_484]) ).
cnf(c_0_492,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e3) = e3
| op(e0,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_458]) ).
cnf(c_0_493,plain,
( op(e3,e0) = e4
| op(e3,e1) = e0
| op(e0,e1) != e4 ),
inference(spm,[status(thm)],[c_0_487,c_0_488]) ).
cnf(c_0_494,plain,
( op(e1,e0) = e0
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
i_0_65 ).
cnf(c_0_495,plain,
op(e1,e0) != e0,
inference(rw,[status(thm)],[c_0_489,c_0_440]) ).
cnf(c_0_496,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
i_0_35 ).
cnf(c_0_497,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_490,c_0_440]) ).
cnf(c_0_498,plain,
op(e3,e4) != op(e3,e1),
i_0_114 ).
cnf(c_0_499,plain,
( op(e3,e2) = e4
| op(e3,e4) = e0
| op(e3,e3) = e4
| op(e3,e1) = e4 ),
inference(spm,[status(thm)],[c_0_464,c_0_491]) ).
cnf(c_0_500,plain,
op(e3,op(e3,e2)) = e2,
i_0_218 ).
cnf(c_0_501,plain,
( op(e0,e2) != e3
| op(op(e0,e2),e0) != e4
| op(e0,op(op(e0,e2),e0)) != e1 ),
i_0_346 ).
cnf(c_0_502,plain,
( op(e0,e2) = e3
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_492]),c_0_463]),c_0_430]) ).
cnf(c_0_503,plain,
op(e3,op(e3,e1)) = e1,
i_0_219 ).
cnf(c_0_504,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e3,e1) = e0
| op(e3,e0) = e4 ),
inference(spm,[status(thm)],[c_0_493,c_0_486]) ).
cnf(c_0_505,plain,
op(e1,op(e1,e4)) = e4,
i_0_226 ).
cnf(c_0_506,plain,
( op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e3) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[c_0_494,c_0_495]) ).
cnf(c_0_507,plain,
op(op(e4,e4),op(e4,e4)) = e4,
i_0_76 ).
cnf(c_0_508,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
inference(sr,[status(thm)],[c_0_496,c_0_497]) ).
cnf(c_0_509,plain,
( op(e3,e1) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) != e0 ),
inference(spm,[status(thm)],[c_0_498,c_0_499]) ).
cnf(c_0_510,plain,
( op(e3,e1) = e0
| op(e3,e0) = e4
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_500,c_0_482]) ).
cnf(c_0_511,plain,
( op(e0,e2) != e3
| op(op(e0,e2),e0) != e1
| op(e0,op(op(e0,e2),e0)) != e4 ),
i_0_270 ).
cnf(c_0_512,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,op(e3,e0)) != e1
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_501,c_0_502]) ).
cnf(c_0_513,plain,
( op(e3,e0) = e4
| op(e0,e1) = e2
| op(e0,e1) = e3
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_503,c_0_504]) ).
cnf(c_0_514,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e4) = e1 ),
inference(spm,[status(thm)],[c_0_437,c_0_486]) ).
cnf(c_0_515,plain,
op(e1,op(e1,e3)) = e3,
i_0_227 ).
cnf(c_0_516,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e4 ),
inference(spm,[status(thm)],[c_0_505,c_0_506]) ).
cnf(c_0_517,plain,
( op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_440]),c_0_426]) ).
cnf(c_0_518,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_519,plain,
op(e3,e3) != op(e3,e1),
i_0_115 ).
cnf(c_0_520,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_426]) ).
cnf(c_0_521,plain,
op(e0,e4) != op(e0,e1),
i_0_144 ).
cnf(c_0_522,plain,
( op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e4) = e3 ),
inference(spm,[status(thm)],[c_0_429,c_0_459]) ).
cnf(c_0_523,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,op(e3,e0)) != e4
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_511,c_0_502]) ).
cnf(c_0_524,plain,
( op(e3,e0) = e1
| op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_513]),c_0_514]) ).
cnf(c_0_525,plain,
op(e1,op(e1,e2)) = e2,
i_0_228 ).
cnf(c_0_526,plain,
( op(e1,e0) = e4
| op(e1,e1) = e0
| op(e1,e2) = e0
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_527,plain,
op(e4,e2) != op(e3,e2),
i_0_171 ).
cnf(c_0_528,plain,
( op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_457,c_0_517]) ).
cnf(c_0_529,plain,
op(e0,e4) != op(e0,e0),
i_0_147 ).
cnf(c_0_530,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_518,c_0_440]),c_0_438]) ).
cnf(c_0_531,plain,
op(e3,e2) != op(e0,e2),
i_0_178 ).
cnf(c_0_532,plain,
( op(e3,e2) = e4
| op(e3,e0) = e4
| op(e3,e0) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_483]) ).
cnf(c_0_533,plain,
( op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e1) != e3 ),
inference(spm,[status(thm)],[c_0_521,c_0_522]) ).
cnf(c_0_534,plain,
( op(e0,e1) = e2
| op(e0,e1) = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_486]) ).
cnf(c_0_535,plain,
op(op(e1,e1),op(e1,e1)) = e1,
i_0_94 ).
cnf(c_0_536,plain,
( op(e1,e0) = e3
| op(e1,e1) = e0
| op(e1,e0) = e4
| op(e1,e0) = e2 ),
inference(spm,[status(thm)],[c_0_525,c_0_526]) ).
cnf(c_0_537,plain,
( op(e4,e0) = e3
| op(e4,e1) = e0
| op(e3,e2) != e0 ),
inference(spm,[status(thm)],[c_0_527,c_0_528]) ).
cnf(c_0_538,plain,
( op(e0,e4) = e0
| op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
i_0_21 ).
cnf(c_0_539,plain,
op(e0,e4) != e0,
inference(rw,[status(thm)],[c_0_529,c_0_440]) ).
cnf(c_0_540,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e1) = e4 ),
inference(spm,[status(thm)],[c_0_425,c_0_530]) ).
cnf(c_0_541,plain,
e4 != e1,
i_0_204 ).
cnf(c_0_542,plain,
( op(e0,e1) != e3
| op(op(e0,e1),e0) != e4
| op(e0,op(op(e0,e1),e0)) != e2 ),
i_0_340 ).
cnf(c_0_543,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e0,e2) != e4 ),
inference(spm,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_544,plain,
( op(e0,e1) = e2
| op(e0,e2) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_533,c_0_534]),c_0_458]) ).
cnf(c_0_545,plain,
op(e1,op(e1,e0)) = e0,
i_0_230 ).
cnf(c_0_546,plain,
( op(e1,e0) = e2
| op(e1,e0) = e4
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_535,c_0_536]),c_0_440]),c_0_438]) ).
cnf(c_0_547,plain,
op(e4,op(e4,e1)) = e1,
i_0_214 ).
cnf(c_0_548,plain,
( op(e3,e1) = e0
| op(e3,e0) = e4
| op(e4,e1) = e0
| op(e4,e0) = e3 ),
inference(spm,[status(thm)],[c_0_537,c_0_482]) ).
cnf(c_0_549,plain,
op(e3,e0) != op(e1,e0),
i_0_195 ).
cnf(c_0_550,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_503,c_0_510]) ).
cnf(c_0_551,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e4) = e3
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[c_0_538,c_0_539]) ).
cnf(c_0_552,plain,
( op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e1) = e1
| op(e0,e2) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_540,c_0_459]),c_0_541]) ).
cnf(c_0_553,plain,
( op(e0,e1) != e3
| op(op(e0,e1),e0) != e2
| op(e0,op(op(e0,e1),e0)) != e4 ),
i_0_294 ).
cnf(c_0_554,plain,
( op(e0,e1) = e2
| op(e0,op(e3,e0)) != e2
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_542,c_0_534]) ).
cnf(c_0_555,plain,
( op(e0,e1) = e2
| op(e3,e0) = e4
| op(e3,e0) = e2 ),
inference(spm,[status(thm)],[c_0_543,c_0_544]) ).
cnf(c_0_556,plain,
( op(e0,e1) = e2
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_433,c_0_544]) ).
cnf(c_0_557,plain,
op(op(e1,e4),op(e4,e1)) = e4,
i_0_79 ).
cnf(c_0_558,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e4) = e0 ),
inference(spm,[status(thm)],[c_0_545,c_0_546]) ).
cnf(c_0_559,plain,
op(e4,op(e4,e2)) = e2,
i_0_213 ).
cnf(c_0_560,plain,
( op(e3,e1) != e4
| op(op(e3,e1),e3) != e0
| op(e3,op(op(e3,e1),e3)) != e2 ),
i_0_236 ).
cnf(c_0_561,plain,
( op(e4,e0) = e3
| op(e3,e0) = e4
| op(e3,e1) = e0
| op(e4,e0) = e1 ),
inference(spm,[status(thm)],[c_0_547,c_0_548]) ).
cnf(c_0_562,plain,
op(e3,e4) != op(e3,e0),
i_0_117 ).
cnf(c_0_563,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e4) = e2 ),
inference(spm,[status(thm)],[c_0_500,c_0_483]) ).
cnf(c_0_564,plain,
( op(e3,e0) = e1
| op(e3,e0) = e2
| op(e1,e0) != e4 ),
inference(spm,[status(thm)],[c_0_549,c_0_550]) ).
cnf(c_0_565,plain,
( op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_551]),c_0_449]),c_0_426]) ).
cnf(c_0_566,plain,
( op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e1) = e4
| op(e0,e4) = e2 ),
inference(spm,[status(thm)],[c_0_433,c_0_552]) ).
cnf(c_0_567,plain,
( op(e0,e1) = e2
| op(e0,op(e3,e0)) != e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_553,c_0_534]) ).
cnf(c_0_568,plain,
( op(e3,e0) = e2
| op(e0,e1) = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_554,c_0_555]),c_0_556]) ).
cnf(c_0_569,plain,
( op(e0,op(e4,e1)) = e4
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(spm,[status(thm)],[c_0_557,c_0_558]) ).
cnf(c_0_570,plain,
( op(e4,e0) = e3
| op(e4,e1) = e0
| op(e4,e0) = e2 ),
inference(spm,[status(thm)],[c_0_559,c_0_528]) ).
cnf(c_0_571,plain,
( op(e3,e0) = e4
| op(e3,e1) = e0
| op(e3,op(e4,e3)) != e2
| op(e4,e3) != e0 ),
inference(spm,[status(thm)],[c_0_560,c_0_488]) ).
cnf(c_0_572,plain,
( op(e4,e0) = e1
| op(e3,e1) = e0
| op(e3,e0) = e4
| op(e4,e3) = e0 ),
inference(spm,[status(thm)],[c_0_449,c_0_561]) ).
cnf(c_0_573,plain,
( op(e3,e1) = e4
| op(e3,e0) = e4
| op(e3,e0) != e2 ),
inference(spm,[status(thm)],[c_0_562,c_0_563]) ).
cnf(c_0_574,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(spm,[status(thm)],[c_0_564,c_0_546]) ).
cnf(c_0_575,plain,
( op(e0,e4) = e1
| op(e0,e4) = e2
| op(e0,e3) = e4 ),
inference(spm,[status(thm)],[c_0_425,c_0_565]) ).
cnf(c_0_576,plain,
( op(e0,e4) != e3
| op(op(e0,e4),e0) != e1
| op(e0,op(op(e0,e4),e0)) != e2 ),
i_0_280 ).
cnf(c_0_577,plain,
( op(e0,e1) = e4
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_521,c_0_566]) ).
cnf(c_0_578,plain,
op(e0,e1) = e2,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_567,c_0_568]),c_0_544]) ).
cnf(c_0_579,plain,
e2 != e1,
i_0_206 ).
cnf(c_0_580,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| op(e1,e0) = e3
| op(e1,e0) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_569,c_0_570]),c_0_440]),c_0_426]) ).
cnf(c_0_581,plain,
( op(e4,e0) = e1
| op(e3,e1) = e0
| op(e3,e0) = e4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_571,c_0_572]),c_0_510]) ).
cnf(c_0_582,plain,
e3 != e1,
i_0_205 ).
cnf(c_0_583,plain,
op(e3,e1) != op(e3,e0),
i_0_120 ).
cnf(c_0_584,plain,
( op(e3,e0) = e1
| op(e1,e0) = e2
| op(e1,e0) = e3
| op(e3,e1) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_460]) ).
cnf(c_0_585,plain,
op(e0,e4) != op(e0,e2),
i_0_142 ).
cnf(c_0_586,plain,
( op(e0,e3) = e4
| op(e0,e4) = e1
| op(e0,e2) = e4 ),
inference(spm,[status(thm)],[c_0_425,c_0_575]) ).
cnf(c_0_587,plain,
( op(e0,e2) != e1
| op(op(e0,e2),e0) != e3
| op(e0,op(op(e0,e2),e0)) != e4 ),
i_0_324 ).
cnf(c_0_588,plain,
( op(e0,e1) = e4
| op(e0,e1) = e1
| op(e0,e2) = e1
| op(e0,e1) = e3 ),
inference(spm,[status(thm)],[c_0_429,c_0_540]) ).
cnf(c_0_589,plain,
( op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,op(e3,e0)) != e2
| op(e3,e0) != e1 ),
inference(spm,[status(thm)],[c_0_576,c_0_522]) ).
cnf(c_0_590,plain,
op(e0,e2) = e1,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_577,c_0_578]),c_0_578]),c_0_578])]),c_0_460]),c_0_579]) ).
cnf(c_0_591,plain,
( op(e3,e0) = e4
| op(e3,e1) = e0
| op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_580,c_0_581]),c_0_579]),c_0_582]) ).
cnf(c_0_592,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_583,c_0_584]) ).
cnf(c_0_593,plain,
( op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_585,c_0_586]) ).
cnf(c_0_594,plain,
( op(e0,e1) = e3
| op(e0,e1) = e1
| op(e0,e1) = e4
| op(e0,op(e1,e0)) != e4
| op(e1,e0) != e3 ),
inference(spm,[status(thm)],[c_0_587,c_0_588]) ).
cnf(c_0_595,plain,
( op(e0,op(e3,e0)) != e2
| op(e3,e0) != e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_589,c_0_578]),c_0_460]),c_0_590]),c_0_541]) ).
cnf(c_0_596,plain,
( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e3,e0) = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_591]),c_0_592]) ).
cnf(c_0_597,plain,
( op(e0,e1) = e3
| op(e0,e1) = e1
| op(e0,e1) = e4
| op(e0,e3) = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_588]),c_0_541]) ).
cnf(c_0_598,plain,
op(op(e0,e1),op(e1,e0)) = e1,
i_0_95 ).
cnf(c_0_599,plain,
( op(e0,op(e1,e0)) != e4
| op(e1,e0) != e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_594,c_0_578]),c_0_578]),c_0_578]),c_0_452]),c_0_579]),c_0_460]) ).
cnf(c_0_600,plain,
( op(e1,e0) = e2
| op(e1,e0) = e3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_595,c_0_596]),c_0_578])]) ).
cnf(c_0_601,plain,
op(e0,e3) = e4,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_597,c_0_578]),c_0_578]),c_0_578]),c_0_452]),c_0_579]),c_0_460]) ).
cnf(c_0_602,plain,
op(e2,e2) != op(e0,e2),
i_0_179 ).
cnf(c_0_603,plain,
op(e2,op(e1,e0)) = e1,
inference(rw,[status(thm)],[c_0_598,c_0_578]) ).
cnf(c_0_604,plain,
op(e1,e0) = e2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_601])]) ).
cnf(c_0_605,plain,
op(e2,e2) != e1,
inference(rw,[status(thm)],[c_0_602,c_0_590]) ).
cnf(c_0_606,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_603,c_0_604]),c_0_605]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG192+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 8 20:53:39 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.97/2.61 # ENIGMATIC: Solved by autoschedule:
% 9.97/2.61 # No SInE strategy applied
% 9.97/2.61 # Trying AutoSched0 for 150 seconds
% 9.97/2.61 # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S04AN
% 9.97/2.61 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.97/2.61 #
% 9.97/2.61 # Preprocessing time : 0.027 s
% 9.97/2.61 # Presaturation interreduction done
% 9.97/2.61
% 9.97/2.61 # Proof found!
% 9.97/2.61 # SZS status Theorem
% 9.97/2.61 # SZS output start CNFRefutation
% See solution above
% 9.97/2.61 # Training examples: 0 positive, 0 negative
% 9.97/2.61
% 9.97/2.61 # -------------------------------------------------
% 9.97/2.61 # User time : 0.183 s
% 9.97/2.61 # System time : 0.014 s
% 9.97/2.61 # Total time : 0.197 s
% 9.97/2.61 # Maximum resident set size: 7124 pages
% 9.97/2.61
%------------------------------------------------------------------------------