TSTP Solution File: ALG064+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 14:51:34 EDT 2022
% Result : Theorem 8.66s 2.54s
% Output : CNFRefutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 73
% Syntax : Number of clauses : 272 ( 123 unt; 124 nHn; 272 RR)
% Number of literals : 643 ( 569 equ; 175 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_199,plain,
op(op(e1,e1),op(e1,e1)) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_199) ).
cnf(i_0_197,plain,
op(e1,e1) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_197) ).
cnf(i_0_198,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_198) ).
cnf(i_0_207,negated_conjecture,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_207) ).
cnf(i_0_190,plain,
e1 != e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_190) ).
cnf(i_0_192,plain,
e2 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_192) ).
cnf(i_0_191,plain,
e3 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_191) ).
cnf(i_0_27,plain,
op(e4,unit) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_27) ).
cnf(i_0_26,plain,
( unit = e0
| unit = e1
| e2 = unit
| e3 = unit
| unit = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_26) ).
cnf(i_0_188,plain,
e2 != e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_188) ).
cnf(i_0_208,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_208) ).
cnf(i_0_193,plain,
e0 != e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_193) ).
cnf(i_0_195,plain,
e2 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_195) ).
cnf(i_0_194,plain,
e3 != e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_194) ).
cnf(i_0_151,plain,
op(e3,e3) != op(e1,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_151) ).
cnf(i_0_33,plain,
op(e1,unit) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_33) ).
cnf(i_0_154,plain,
op(e3,e3) != op(e0,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_154) ).
cnf(i_0_35,plain,
op(e0,unit) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_35) ).
cnf(i_0_40,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_40) ).
cnf(i_0_189,plain,
e3 != e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_189) ).
cnf(i_0_158,plain,
op(e2,e2) != op(e4,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_158) ).
cnf(i_0_196,plain,
e0 != e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_196) ).
cnf(i_0_200,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_200) ).
cnf(i_0_39,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_39) ).
cnf(i_0_108,plain,
op(e2,e2) != op(e2,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_108) ).
cnf(i_0_153,plain,
op(e0,e3) != op(e4,e3),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_153) ).
cnf(i_0_30,plain,
op(unit,e3) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_30) ).
cnf(i_0_138,plain,
op(e2,e4) != op(e4,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_138) ).
cnf(i_0_103,plain,
op(e3,e0) != op(e3,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_103) ).
cnf(i_0_29,plain,
op(e3,unit) = e3,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_29) ).
cnf(i_0_88,plain,
op(e4,e2) != op(e4,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_88) ).
cnf(i_0_160,plain,
op(e1,e2) != op(e4,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_160) ).
cnf(i_0_11,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_11) ).
cnf(i_0_71,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_71) ).
cnf(i_0_90,plain,
op(e4,e1) != op(e4,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_90) ).
cnf(i_0_75,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-24je3gdq/input.p',i_0_75) ).
cnf(i_0_187,plain,
e3 != e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_187) ).
cnf(i_0_136,plain,
op(e0,e0) != op(e0,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_136) ).
cnf(i_0_31,plain,
op(e2,unit) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_31) ).
cnf(i_0_32,plain,
op(unit,e2) = e2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_32) ).
cnf(i_0_28,plain,
op(unit,e4) = e4,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_28) ).
cnf(i_0_3,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_3) ).
cnf(i_0_145,plain,
op(e2,e4) != op(e0,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_145) ).
cnf(i_0_116,plain,
op(e2,e0) != op(e2,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_116) ).
cnf(i_0_132,plain,
op(e0,e2) != op(e0,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_132) ).
cnf(i_0_423,plain,
( op(op(e4,e3),e3) = e4
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| ~ epred8_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_423) ).
cnf(i_0_203,negated_conjecture,
epred8_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_203) ).
cnf(i_0_95,plain,
op(e4,e2) != op(e4,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_95) ).
cnf(i_0_110,plain,
op(e2,e1) != op(e2,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_110) ).
cnf(i_0_46,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_46) ).
cnf(i_0_127,plain,
op(e0,e3) != op(e0,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_127) ).
cnf(i_0_394,plain,
( op(op(e3,e4),e4) = e3
| epred6_0
| op(e0,e4) != op(e4,e0)
| ~ epred7_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_394) ).
cnf(i_0_45,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-24je3gdq/input.p',i_0_45) ).
cnf(i_0_118,plain,
op(e1,e2) != op(e1,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_118) ).
cnf(i_0_172,plain,
op(e2,e1) != op(e1,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_172) ).
cnf(i_0_57,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_57) ).
cnf(i_0_137,plain,
op(e3,e4) != op(e4,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_137) ).
cnf(i_0_58,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_58) ).
cnf(i_0_128,plain,
op(e0,e2) != op(e0,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_128) ).
cnf(i_0_52,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_52) ).
cnf(i_0_367,plain,
( op(op(e3,e1),e1) = e3
| epred5_0
| op(e3,e0) != op(e0,e3)
| op(e3,e2) != op(e2,e3)
| ~ epred6_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_367) ).
cnf(i_0_178,plain,
op(e2,e0) != op(e4,e0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_178) ).
cnf(i_0_112,plain,
op(e2,e2) != op(e2,e1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_112) ).
cnf(i_0_343,plain,
( epred4_0
| op(e3,e2) != op(e2,e3)
| op(e2,e4) != op(e4,e2)
| ~ epred5_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_343) ).
cnf(i_0_316,plain,
( epred3_0
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e1,e4) != op(e4,e1)
| ~ epred4_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_316) ).
cnf(i_0_87,plain,
op(e4,e3) != op(e4,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_87) ).
cnf(i_0_51,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_51) ).
cnf(i_0_285,plain,
( op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1
| epred2_0
| ~ epred3_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_285) ).
cnf(i_0_163,plain,
op(e0,e2) != op(e4,e2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_163) ).
cnf(i_0_107,plain,
op(e2,e3) != op(e2,e4),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_107) ).
cnf(i_0_262,plain,
( epred1_0
| op(e0,e1) != op(e1,e0)
| op(e3,e0) != op(e0,e3)
| op(e0,e4) != op(e4,e0)
| ~ epred2_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_262) ).
cnf(i_0_34,plain,
op(unit,e1) = e1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_34) ).
cnf(i_0_235,plain,
( op(e0,e1) != op(e1,e0)
| op(e2,e0) != op(e0,e2)
| ~ epred1_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-24je3gdq/input.p',i_0_235) ).
cnf(c_0_497,plain,
op(op(e1,e1),op(e1,e1)) = e2,
i_0_199 ).
cnf(c_0_498,plain,
op(e1,e1) = e4,
i_0_197 ).
cnf(c_0_499,plain,
op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))) = e3,
i_0_198 ).
cnf(c_0_500,plain,
op(e4,e4) = e2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_497,c_0_498]),c_0_498]) ).
cnf(c_0_501,negated_conjecture,
( op(e0,e0) = e1
| op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| op(e4,e4) = e1 ),
i_0_207 ).
cnf(c_0_502,plain,
op(e2,e2) = e3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_499,c_0_498]),c_0_498]),c_0_500]),c_0_498]),c_0_498]),c_0_500]) ).
cnf(c_0_503,plain,
e1 != e4,
i_0_190 ).
cnf(c_0_504,plain,
e2 != e1,
i_0_192 ).
cnf(c_0_505,plain,
e3 != e1,
i_0_191 ).
cnf(c_0_506,plain,
op(e4,unit) = e4,
i_0_27 ).
cnf(c_0_507,plain,
( unit = e0
| unit = e1
| e2 = unit
| e3 = unit
| unit = e4 ),
i_0_26 ).
cnf(c_0_508,plain,
e2 != e4,
i_0_188 ).
cnf(c_0_509,negated_conjecture,
( op(e0,e0) = e0
| op(e1,e1) = e0
| op(e2,e2) = e0
| op(e3,e3) = e0
| op(e4,e4) = e0 ),
i_0_208 ).
cnf(c_0_510,plain,
e0 != e4,
i_0_193 ).
cnf(c_0_511,plain,
e2 != e0,
i_0_195 ).
cnf(c_0_512,plain,
e3 != e0,
i_0_194 ).
cnf(c_0_513,plain,
op(e3,e3) != op(e1,e3),
i_0_151 ).
cnf(c_0_514,negated_conjecture,
( op(e3,e3) = e1
| op(e0,e0) = e1 ),
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_501,c_0_498]),c_0_500]),c_0_502]),c_0_503]),c_0_504]),c_0_505]) ).
cnf(c_0_515,plain,
op(e1,unit) = e1,
i_0_33 ).
cnf(c_0_516,plain,
( unit = e1
| unit = e0
| unit = e2
| unit = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_506,c_0_507]),c_0_500]),c_0_508]) ).
cnf(c_0_517,plain,
op(e3,e3) != op(e0,e3),
i_0_154 ).
cnf(c_0_518,negated_conjecture,
( op(e3,e3) = e0
| op(e0,e0) = e0 ),
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_509,c_0_498]),c_0_500]),c_0_502]),c_0_510]),c_0_511]),c_0_512]) ).
cnf(c_0_519,plain,
op(e0,unit) = e0,
i_0_35 ).
cnf(c_0_520,plain,
( op(e0,e0) = e1
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_513,c_0_514]) ).
cnf(c_0_521,plain,
( op(e1,e3) = e1
| unit = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
cnf(c_0_522,plain,
( op(e0,e0) = e0
| op(e0,e3) != e0 ),
inference(spm,[status(thm)],[c_0_517,c_0_518]) ).
cnf(c_0_523,plain,
( op(e0,e3) = e0
| unit = e2
| unit = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_519,c_0_516]) ).
cnf(c_0_524,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e4,e2) = e3
| op(e4,e3) = e3
| op(e4,e4) = e3 ),
i_0_40 ).
cnf(c_0_525,plain,
e3 != e2,
i_0_189 ).
cnf(c_0_526,plain,
op(e2,e2) != op(e4,e2),
i_0_158 ).
cnf(c_0_527,plain,
( op(e0,e0) = e1
| unit = e1
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_520,c_0_521]) ).
cnf(c_0_528,plain,
( op(e0,e0) = e0
| unit = e1
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_522,c_0_523]) ).
cnf(c_0_529,plain,
e0 != e1,
i_0_196 ).
cnf(c_0_530,plain,
op(e1,op(op(e1,e1),op(e1,e1))) = e0,
i_0_200 ).
cnf(c_0_531,plain,
( op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e0) = e3
| op(e4,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_524,c_0_500]),c_0_525]) ).
cnf(c_0_532,plain,
op(e4,e2) != e3,
inference(rw,[status(thm)],[c_0_526,c_0_502]) ).
cnf(c_0_533,plain,
( unit = e2
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_527,c_0_528]),c_0_529]) ).
cnf(c_0_534,plain,
op(e1,e2) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_530,c_0_498]),c_0_498]),c_0_500]) ).
cnf(c_0_535,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e2,e4) = e3
| op(e3,e4) = e3
| op(e4,e4) = e3 ),
i_0_39 ).
cnf(c_0_536,plain,
op(e2,e2) != op(e2,e4),
i_0_108 ).
cnf(c_0_537,plain,
op(e0,e3) != op(e4,e3),
i_0_153 ).
cnf(c_0_538,plain,
( op(e4,e1) = e3
| op(e4,e0) = e3
| op(e4,e3) = e3 ),
inference(sr,[status(thm)],[c_0_531,c_0_532]) ).
cnf(c_0_539,plain,
op(unit,e3) = e3,
i_0_30 ).
cnf(c_0_540,plain,
( unit = e1
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_533]),c_0_534]),c_0_529]) ).
cnf(c_0_541,plain,
( op(e3,e4) = e3
| op(e2,e4) = e3
| op(e0,e4) = e3
| op(e1,e4) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_535,c_0_500]),c_0_525]) ).
cnf(c_0_542,plain,
op(e2,e4) != e3,
inference(rw,[status(thm)],[c_0_536,c_0_502]) ).
cnf(c_0_543,plain,
op(e2,e4) != op(e4,e4),
i_0_138 ).
cnf(c_0_544,plain,
( op(e4,e0) = e3
| op(e4,e1) = e3
| op(e0,e3) != e3 ),
inference(spm,[status(thm)],[c_0_537,c_0_538]) ).
cnf(c_0_545,plain,
( op(e0,e3) = e3
| unit = e1 ),
inference(spm,[status(thm)],[c_0_539,c_0_540]) ).
cnf(c_0_546,plain,
op(e3,e0) != op(e3,e4),
i_0_103 ).
cnf(c_0_547,plain,
( op(e1,e4) = e3
| op(e0,e4) = e3
| op(e3,e4) = e3 ),
inference(sr,[status(thm)],[c_0_541,c_0_542]) ).
cnf(c_0_548,plain,
op(e3,unit) = e3,
i_0_29 ).
cnf(c_0_549,plain,
op(e4,e2) != op(e4,e4),
i_0_88 ).
cnf(c_0_550,plain,
op(e1,e2) != op(e4,e2),
i_0_160 ).
cnf(c_0_551,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e2,e4) = e2
| op(e2,e4) = e3
| op(e2,e4) = e4 ),
i_0_11 ).
cnf(c_0_552,plain,
op(e2,e4) != e2,
inference(rw,[status(thm)],[c_0_543,c_0_500]) ).
cnf(c_0_553,plain,
( op(e0,e1) = e2
| op(e1,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2
| op(e4,e1) = e2 ),
i_0_71 ).
cnf(c_0_554,plain,
op(e4,e1) != op(e4,e4),
i_0_90 ).
cnf(c_0_555,plain,
( op(e0,e1) = e0
| op(e1,e1) = e0
| op(e2,e1) = e0
| op(e3,e1) = e0
| op(e4,e1) = e0 ),
i_0_75 ).
cnf(c_0_556,plain,
( op(e4,e0) = e4
| unit = e1 ),
inference(spm,[status(thm)],[c_0_506,c_0_540]) ).
cnf(c_0_557,plain,
( op(e4,e1) = e3
| op(e4,e0) = e3
| unit = e1 ),
inference(spm,[status(thm)],[c_0_544,c_0_545]) ).
cnf(c_0_558,plain,
e3 != e4,
i_0_187 ).
cnf(c_0_559,plain,
op(e0,e0) != op(e0,e1),
i_0_136 ).
cnf(c_0_560,plain,
( op(e0,e0) = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_519,c_0_540]) ).
cnf(c_0_561,plain,
op(e2,unit) = e2,
i_0_31 ).
cnf(c_0_562,plain,
op(unit,e2) = e2,
i_0_32 ).
cnf(c_0_563,plain,
op(unit,e4) = e4,
i_0_28 ).
cnf(c_0_564,plain,
( op(e0,e4) = e3
| op(e1,e4) = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_546,c_0_547]) ).
cnf(c_0_565,plain,
( op(e3,e0) = e3
| unit = e1 ),
inference(spm,[status(thm)],[c_0_548,c_0_540]) ).
cnf(c_0_566,plain,
( op(e4,e2) = e0
| op(e4,e2) = e1
| op(e4,e2) = e2
| op(e4,e2) = e3
| op(e4,e2) = e4 ),
i_0_3 ).
cnf(c_0_567,plain,
op(e4,e2) != e2,
inference(rw,[status(thm)],[c_0_549,c_0_500]) ).
cnf(c_0_568,plain,
op(e4,e2) != e0,
inference(rw,[status(thm)],[c_0_550,c_0_534]) ).
cnf(c_0_569,plain,
op(e2,e4) != op(e0,e4),
i_0_145 ).
cnf(c_0_570,plain,
( op(e2,e4) = e1
| op(e2,e4) = e4
| op(e2,e4) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_551,c_0_552]),c_0_542]) ).
cnf(c_0_571,plain,
( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e0,e1) = e2
| op(e4,e1) = e2 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_553,c_0_498]),c_0_508]) ).
cnf(c_0_572,plain,
op(e4,e1) != e2,
inference(rw,[status(thm)],[c_0_554,c_0_500]) ).
cnf(c_0_573,plain,
( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e0,e1) = e0
| op(e4,e1) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_555,c_0_498]),c_0_510]) ).
cnf(c_0_574,plain,
( op(e4,e1) = e3
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_557]),c_0_558]) ).
cnf(c_0_575,plain,
( unit = e1
| op(e0,e1) != e0 ),
inference(spm,[status(thm)],[c_0_559,c_0_560]) ).
cnf(c_0_576,plain,
op(e2,e0) != op(e2,e1),
i_0_116 ).
cnf(c_0_577,plain,
( op(e2,e0) = e2
| unit = e1 ),
inference(spm,[status(thm)],[c_0_561,c_0_540]) ).
cnf(c_0_578,plain,
op(e0,e2) != op(e0,e1),
i_0_132 ).
cnf(c_0_579,plain,
( op(e0,e2) = e2
| unit = e1 ),
inference(spm,[status(thm)],[c_0_562,c_0_540]) ).
cnf(c_0_580,plain,
( op(op(e4,e3),e3) = e4
| epred7_0
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| ~ epred8_0 ),
i_0_423 ).
cnf(c_0_581,negated_conjecture,
epred8_0,
i_0_203 ).
cnf(c_0_582,plain,
( op(e0,e4) = e4
| unit = e1 ),
inference(spm,[status(thm)],[c_0_563,c_0_540]) ).
cnf(c_0_583,plain,
( op(e1,e4) = e3
| op(e0,e4) = e3
| unit = e1 ),
inference(spm,[status(thm)],[c_0_564,c_0_565]) ).
cnf(c_0_584,plain,
op(e4,e2) != op(e4,e0),
i_0_95 ).
cnf(c_0_585,plain,
( op(e4,e2) = e1
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_566,c_0_567]),c_0_532]),c_0_568]) ).
cnf(c_0_586,plain,
( op(e2,e4) = e0
| op(e2,e4) = e1
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_569,c_0_570]) ).
cnf(c_0_587,plain,
( op(e0,e1) = e2
| op(e2,e1) = e2
| op(e3,e1) = e2 ),
inference(sr,[status(thm)],[c_0_571,c_0_572]) ).
cnf(c_0_588,plain,
( op(e2,e1) = e0
| op(e3,e1) = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_573,c_0_574]),c_0_512]),c_0_575]) ).
cnf(c_0_589,plain,
( unit = e1
| op(e2,e1) != e2 ),
inference(spm,[status(thm)],[c_0_576,c_0_577]) ).
cnf(c_0_590,plain,
( unit = e1
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_578,c_0_579]) ).
cnf(c_0_591,plain,
( op(op(e4,e3),e3) = e4
| epred7_0
| op(e4,e1) != op(e1,e4)
| op(e4,e2) != op(e2,e4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_580,c_0_581])]) ).
cnf(c_0_592,plain,
( op(e1,e4) = e3
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_583]),c_0_558]) ).
cnf(c_0_593,plain,
( op(e4,e2) = e1
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_584,c_0_585]) ).
cnf(c_0_594,plain,
op(e2,e1) != op(e2,e4),
i_0_110 ).
cnf(c_0_595,plain,
( op(e2,e4) = e1
| op(e2,e4) = e0
| unit = e1 ),
inference(spm,[status(thm)],[c_0_586,c_0_582]) ).
cnf(c_0_596,plain,
( op(e2,e1) = e0
| unit = e1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_511]),c_0_589]),c_0_590]) ).
cnf(c_0_597,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| op(e4,e2) = e0
| op(e4,e3) = e0
| op(e4,e4) = e0 ),
i_0_46 ).
cnf(c_0_598,plain,
( op(op(e4,e3),e3) = e4
| unit = e1
| epred7_0
| op(e4,e2) != op(e2,e4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_574]),c_0_592]) ).
cnf(c_0_599,plain,
( op(e4,e2) = e1
| unit = e1 ),
inference(spm,[status(thm)],[c_0_593,c_0_556]) ).
cnf(c_0_600,plain,
( op(e2,e4) = e1
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_595]),c_0_596]) ).
cnf(c_0_601,plain,
( op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e0) = e0
| op(e4,e1) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_597,c_0_500]),c_0_511]) ).
cnf(c_0_602,plain,
op(e0,e3) != op(e0,e4),
i_0_127 ).
cnf(c_0_603,plain,
( op(op(e4,e3),e3) = e4
| unit = e1
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_598,c_0_599]),c_0_600]) ).
cnf(c_0_604,plain,
( op(e4,e1) = e0
| op(e4,e0) = e0
| op(e4,e3) = e0 ),
inference(sr,[status(thm)],[c_0_601,c_0_568]) ).
cnf(c_0_605,plain,
( unit = e1
| op(e0,e3) != e4 ),
inference(spm,[status(thm)],[c_0_602,c_0_582]) ).
cnf(c_0_606,plain,
( op(e4,e0) = e0
| op(e4,e1) = e0
| unit = e1
| epred7_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_604]),c_0_605]) ).
cnf(c_0_607,plain,
( op(e4,e1) = e0
| unit = e1
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_556,c_0_606]),c_0_510]) ).
cnf(c_0_608,plain,
( unit = e1
| epred7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_607]),c_0_512]) ).
cnf(c_0_609,plain,
( op(op(e3,e4),e4) = e3
| epred6_0
| op(e0,e4) != op(e4,e0)
| ~ epred7_0 ),
i_0_394 ).
cnf(c_0_610,plain,
epred7_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_608]),c_0_498]),c_0_503]) ).
cnf(c_0_611,plain,
( op(e0,e4) = e0
| op(e1,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0
| op(e4,e4) = e0 ),
i_0_45 ).
cnf(c_0_612,plain,
op(e1,e2) != op(e1,e4),
i_0_118 ).
cnf(c_0_613,plain,
( op(op(e3,e4),e4) = e3
| epred6_0
| op(e4,e0) != op(e0,e4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_609,c_0_610])]) ).
cnf(c_0_614,plain,
( op(e3,e4) = e0
| op(e2,e4) = e0
| op(e0,e4) = e0
| op(e1,e4) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_611,c_0_500]),c_0_511]) ).
cnf(c_0_615,plain,
op(e1,e4) != e0,
inference(rw,[status(thm)],[c_0_612,c_0_534]) ).
cnf(c_0_616,plain,
( op(op(e3,e4),e4) = e3
| unit = e1
| epred6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_556]),c_0_582]) ).
cnf(c_0_617,plain,
( op(e0,e4) = e0
| op(e2,e4) = e0
| op(e3,e4) = e0 ),
inference(sr,[status(thm)],[c_0_614,c_0_615]) ).
cnf(c_0_618,plain,
( op(e2,e4) = e0
| op(e0,e4) = e0
| op(e0,e4) = e3
| unit = e1
| epred6_0 ),
inference(spm,[status(thm)],[c_0_616,c_0_617]) ).
cnf(c_0_619,plain,
( op(e0,e4) = e3
| op(e0,e4) = e0
| unit = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_600,c_0_618]),c_0_529]) ).
cnf(c_0_620,plain,
( op(e0,e4) = e0
| unit = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_619]),c_0_558]) ).
cnf(c_0_621,plain,
op(e2,e1) != op(e1,e1),
i_0_172 ).
cnf(c_0_622,plain,
( op(e0,e2) = e4
| op(e1,e2) = e4
| op(e2,e2) = e4
| op(e3,e2) = e4
| op(e4,e2) = e4 ),
i_0_57 ).
cnf(c_0_623,plain,
op(e3,e4) != op(e4,e4),
i_0_137 ).
cnf(c_0_624,plain,
( unit = e1
| epred6_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_582,c_0_620]),c_0_510]) ).
cnf(c_0_625,plain,
( op(e2,e0) = e4
| op(e2,e1) = e4
| op(e2,e2) = e4
| op(e2,e3) = e4
| op(e2,e4) = e4 ),
i_0_58 ).
cnf(c_0_626,plain,
op(e2,e1) != e4,
inference(rw,[status(thm)],[c_0_621,c_0_498]) ).
cnf(c_0_627,plain,
( op(e3,e2) = e4
| op(e0,e2) = e4
| op(e4,e2) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_622,c_0_534]),c_0_502]),c_0_510]),c_0_558]) ).
cnf(c_0_628,plain,
op(e0,e2) != op(e0,e4),
i_0_128 ).
cnf(c_0_629,plain,
( op(e3,e0) = e2
| op(e3,e1) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2
| op(e3,e4) = e2 ),
i_0_52 ).
cnf(c_0_630,plain,
op(e3,e4) != e2,
inference(rw,[status(thm)],[c_0_623,c_0_500]) ).
cnf(c_0_631,plain,
( op(op(e3,e1),e1) = e3
| epred5_0
| op(e3,e0) != op(e0,e3)
| op(e3,e2) != op(e2,e3)
| ~ epred6_0 ),
i_0_367 ).
cnf(c_0_632,plain,
epred6_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_624]),c_0_498]),c_0_503]) ).
cnf(c_0_633,plain,
( op(e2,e3) = e4
| op(e2,e0) = e4
| op(e2,e4) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_625,c_0_502]),c_0_626]),c_0_558]) ).
cnf(c_0_634,plain,
op(e2,e0) != op(e4,e0),
i_0_178 ).
cnf(c_0_635,plain,
( op(e0,e2) = e4
| op(e3,e2) = e4
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_584,c_0_627]) ).
cnf(c_0_636,plain,
( unit = e1
| op(e0,e2) != e4 ),
inference(spm,[status(thm)],[c_0_628,c_0_582]) ).
cnf(c_0_637,plain,
( op(e3,e1) = e2
| op(e3,e0) = e2
| op(e3,e2) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[c_0_629,c_0_630]) ).
cnf(c_0_638,plain,
( op(op(e3,e1),e1) = e3
| epred5_0
| op(e3,e0) != op(e0,e3)
| op(e3,e2) != op(e2,e3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_631,c_0_632])]) ).
cnf(c_0_639,plain,
( op(e2,e0) = e4
| op(e2,e3) = e4
| op(e0,e4) != e4 ),
inference(spm,[status(thm)],[c_0_569,c_0_633]) ).
cnf(c_0_640,plain,
( unit = e1
| op(e2,e0) != e4 ),
inference(spm,[status(thm)],[c_0_634,c_0_556]) ).
cnf(c_0_641,plain,
( op(e3,e2) = e4
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_635,c_0_556]),c_0_636]) ).
cnf(c_0_642,negated_conjecture,
( op(e3,e2) = e2
| op(e3,e0) = e2
| op(e3,e1) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_637]),c_0_504]) ).
cnf(c_0_643,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| epred5_0
| op(e3,e2) != op(e2,e3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_565]),c_0_545]) ).
cnf(c_0_644,plain,
( op(e2,e3) = e4
| unit = e1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_582]),c_0_640]) ).
cnf(c_0_645,plain,
( op(e0,e0) = e1
| op(e3,e1) = e2
| op(e3,e0) = e2
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_641,c_0_642]),c_0_508]) ).
cnf(c_0_646,plain,
op(e2,e2) != op(e2,e1),
i_0_112 ).
cnf(c_0_647,plain,
( op(op(e3,e1),e1) = e3
| unit = e1
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_643,c_0_641]),c_0_644]) ).
cnf(c_0_648,plain,
( op(e3,e1) = e2
| op(e0,e0) = e1
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_645]),c_0_525]) ).
cnf(c_0_649,plain,
op(e2,e1) != e3,
inference(rw,[status(thm)],[c_0_646,c_0_502]) ).
cnf(c_0_650,plain,
( op(e0,e0) = e1
| unit = e1
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_647,c_0_648]),c_0_649]) ).
cnf(c_0_651,plain,
( unit = e1
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_650]),c_0_529]) ).
cnf(c_0_652,plain,
( epred4_0
| op(e3,e2) != op(e2,e3)
| op(e2,e4) != op(e4,e2)
| ~ epred5_0 ),
i_0_343 ).
cnf(c_0_653,plain,
epred5_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_651]),c_0_498]),c_0_503]) ).
cnf(c_0_654,plain,
( epred4_0
| op(e4,e2) != op(e2,e4)
| op(e3,e2) != op(e2,e3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_652,c_0_653])]) ).
cnf(c_0_655,plain,
( unit = e1
| epred4_0
| op(e3,e2) != op(e2,e3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_599]),c_0_600]) ).
cnf(c_0_656,plain,
( epred3_0
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != op(e1,e2)
| op(e1,e4) != op(e4,e1)
| ~ epred4_0 ),
i_0_316 ).
cnf(c_0_657,plain,
( unit = e1
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_641]),c_0_644]) ).
cnf(c_0_658,plain,
( epred3_0
| op(e4,e1) != op(e1,e4)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != e0
| ~ epred4_0 ),
inference(rw,[status(thm)],[c_0_656,c_0_534]) ).
cnf(c_0_659,plain,
epred4_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_657]),c_0_498]),c_0_503]) ).
cnf(c_0_660,plain,
op(e4,e3) != op(e4,e4),
i_0_87 ).
cnf(c_0_661,plain,
( epred3_0
| op(e4,e1) != op(e1,e4)
| op(e2,e0) != op(e0,e2)
| op(e2,e1) != e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_658,c_0_659])]) ).
cnf(c_0_662,plain,
( op(e0,e3) = e2
| op(e1,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2
| op(e4,e3) = e2 ),
i_0_51 ).
cnf(c_0_663,plain,
op(e4,e3) != e2,
inference(rw,[status(thm)],[c_0_660,c_0_500]) ).
cnf(c_0_664,plain,
( unit = e1
| epred3_0
| op(e4,e1) != op(e1,e4)
| op(e2,e0) != op(e0,e2) ),
inference(spm,[status(thm)],[c_0_661,c_0_596]) ).
cnf(c_0_665,plain,
( op(e1,e3) = e2
| op(e0,e3) = e2
| op(e2,e3) = e2
| op(e3,e3) = e2 ),
inference(sr,[status(thm)],[c_0_662,c_0_663]) ).
cnf(c_0_666,plain,
( unit = e1
| epred3_0
| op(e2,e0) != op(e0,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_574]),c_0_592]) ).
cnf(c_0_667,negated_conjecture,
( op(e2,e3) = e2
| op(e0,e3) = e2
| op(e1,e3) = e2
| op(e0,e0) = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_514,c_0_665]),c_0_504]) ).
cnf(c_0_668,plain,
( op(op(e1,e2),e2) = e1
| op(op(e1,e3),e3) = e1
| epred2_0
| ~ epred3_0 ),
i_0_285 ).
cnf(c_0_669,plain,
( unit = e1
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_666,c_0_577]),c_0_579]) ).
cnf(c_0_670,plain,
( op(e0,e0) = e1
| op(e1,e3) = e2
| op(e0,e3) = e2
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_644,c_0_667]),c_0_508]) ).
cnf(c_0_671,plain,
( op(op(e1,e3),e3) = e1
| op(e0,e2) = e1
| epred2_0
| ~ epred3_0 ),
inference(rw,[status(thm)],[c_0_668,c_0_534]) ).
cnf(c_0_672,plain,
epred3_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_669]),c_0_498]),c_0_503]) ).
cnf(c_0_673,plain,
( op(e1,e3) = e2
| op(e0,e0) = e1
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_545,c_0_670]),c_0_525]) ).
cnf(c_0_674,plain,
op(e0,e2) != op(e4,e2),
i_0_163 ).
cnf(c_0_675,plain,
op(e2,e3) != op(e2,e4),
i_0_107 ).
cnf(c_0_676,plain,
( op(op(e1,e3),e3) = e1
| op(e0,e2) = e1
| epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_671,c_0_672])]) ).
cnf(c_0_677,plain,
( op(e1,e3) = e2
| unit = e1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_560,c_0_673]),c_0_529]) ).
cnf(c_0_678,plain,
( unit = e1
| op(e0,e2) != e1 ),
inference(spm,[status(thm)],[c_0_674,c_0_599]) ).
cnf(c_0_679,plain,
( unit = e1
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_675,c_0_600]) ).
cnf(c_0_680,plain,
( unit = e1
| epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_677]),c_0_678]),c_0_679]) ).
cnf(c_0_681,plain,
( epred1_0
| op(e0,e1) != op(e1,e0)
| op(e3,e0) != op(e0,e3)
| op(e0,e4) != op(e4,e0)
| ~ epred2_0 ),
i_0_262 ).
cnf(c_0_682,plain,
epred2_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_680]),c_0_498]),c_0_503]) ).
cnf(c_0_683,plain,
op(unit,e1) = e1,
i_0_34 ).
cnf(c_0_684,plain,
( epred1_0
| op(e0,e1) != op(e1,e0)
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_681,c_0_682])]) ).
cnf(c_0_685,plain,
( op(e0,e1) = e1
| unit = e1 ),
inference(spm,[status(thm)],[c_0_683,c_0_540]) ).
cnf(c_0_686,plain,
( op(e1,e0) = e1
| unit = e1 ),
inference(spm,[status(thm)],[c_0_515,c_0_540]) ).
cnf(c_0_687,plain,
( unit = e1
| epred1_0
| op(e4,e0) != op(e0,e4)
| op(e3,e0) != op(e0,e3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_685]),c_0_686]) ).
cnf(c_0_688,plain,
( unit = e1
| epred1_0
| op(e3,e0) != op(e0,e3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_687,c_0_556]),c_0_582]) ).
cnf(c_0_689,plain,
( unit = e1
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_565]),c_0_545]) ).
cnf(c_0_690,plain,
( op(e0,e1) != op(e1,e0)
| op(e2,e0) != op(e0,e2)
| ~ epred1_0 ),
i_0_235 ).
cnf(c_0_691,plain,
epred1_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_689]),c_0_498]),c_0_503]) ).
cnf(c_0_692,plain,
( op(e0,e1) != op(e1,e0)
| op(e2,e0) != op(e0,e2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_690,c_0_691])]) ).
cnf(c_0_693,plain,
( unit = e1
| op(e2,e0) != op(e0,e2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_692,c_0_685]),c_0_686]) ).
cnf(c_0_694,plain,
unit = e1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_693,c_0_577]),c_0_579]) ).
cnf(c_0_695,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_562,c_0_694]),c_0_534]),c_0_511]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG064+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 12:13:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 8.66/2.54 # ENIGMATIC: Solved by autoschedule:
% 8.66/2.54 # No SInE strategy applied
% 8.66/2.54 # Trying AutoSched0 for 150 seconds
% 8.66/2.54 # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 8.66/2.54 # and selection function SelectComplexAHP.
% 8.66/2.54 #
% 8.66/2.54 # Preprocessing time : 0.034 s
% 8.66/2.54
% 8.66/2.54 # Proof found!
% 8.66/2.54 # SZS status Theorem
% 8.66/2.54 # SZS output start CNFRefutation
% See solution above
% 8.66/2.54 # Training examples: 0 positive, 0 negative
% 8.66/2.54
% 8.66/2.54 # -------------------------------------------------
% 8.66/2.54 # User time : 0.125 s
% 8.66/2.54 # System time : 0.014 s
% 8.66/2.54 # Total time : 0.139 s
% 8.66/2.54 # Maximum resident set size: 7120 pages
% 8.66/2.54
%------------------------------------------------------------------------------