TSTP Solution File: ALG056+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG056+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 14:47:32 EDT 2022
% Result : Theorem 13.22s 2.95s
% Output : CNFRefutation 13.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 84
% Syntax : Number of clauses : 287 ( 122 unt; 157 nHn; 287 RR)
% Number of literals : 813 ( 743 equ; 163 neg)
% Maximal clause size : 6 ( 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_198,plain,
op(e2,op(e2,e2)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_198) ).
cnf(i_0_197,plain,
op(e2,e2) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_197) ).
cnf(i_0_200,plain,
op(op(e2,e2),op(e2,e2)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_200) ).
cnf(i_0_199,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_199) ).
cnf(i_0_203,negated_conjecture,
( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_203) ).
cnf(i_0_41,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_41) ).
cnf(i_0_189,plain,
e3 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_189) ).
cnf(i_0_195,plain,
e0 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_195) ).
cnf(i_0_192,plain,
e1 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_192) ).
cnf(i_0_31,plain,
op(e2,unit) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_31) ).
cnf(i_0_26,plain,
( unit = e0
| e1 = unit
| unit = e2
| e3 = unit
| e4 = unit ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_26) ).
cnf(i_0_204,negated_conjecture,
( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_204) ).
cnf(i_0_37,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_37) ).
cnf(i_0_187,plain,
e4 != e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_187) ).
cnf(i_0_193,plain,
e4 != e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_193) ).
cnf(i_0_190,plain,
e4 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_190) ).
cnf(i_0_118,plain,
op(e1,e4) != op(e1,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_118) ).
cnf(i_0_32,plain,
op(unit,e2) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_32) ).
cnf(i_0_196,plain,
e1 != e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_196) ).
cnf(i_0_88,plain,
op(e4,e4) != op(e4,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_88) ).
cnf(i_0_36,plain,
op(unit,e0) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_36) ).
cnf(i_0_97,plain,
op(e3,e4) != op(e3,e3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_97) ).
cnf(i_0_27,plain,
op(e4,unit) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_27) ).
cnf(i_0_188,plain,
e4 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_188) ).
cnf(i_0_34,plain,
op(unit,e1) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_34) ).
cnf(i_0_165,plain,
op(e0,e2) != op(e2,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_165) ).
cnf(i_0_66,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_66) ).
cnf(i_0_194,plain,
e3 != e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_194) ).
cnf(i_0_182,plain,
op(e1,e0) != op(e2,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_182) ).
cnf(i_0_53,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_53) ).
cnf(i_0_121,plain,
op(e1,e3) != op(e1,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_121) ).
cnf(i_0_23,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_23) ).
cnf(i_0_35,plain,
op(e0,unit) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_35) ).
cnf(i_0_78,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-mzieg8xv/lgb.p',i_0_78) ).
cnf(i_0_173,plain,
op(e4,e1) != op(e0,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_173) ).
cnf(i_0_159,plain,
op(e3,e2) != op(e2,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_159) ).
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/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_40) ).
cnf(i_0_129,plain,
op(e0,e3) != op(e0,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_129) ).
cnf(i_0_132,plain,
op(e0,e1) != op(e0,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_132) ).
cnf(i_0_166,plain,
op(e1,e2) != op(e0,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_166) ).
cnf(i_0_48,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-mzieg8xv/lgb.p',i_0_48) ).
cnf(i_0_29,plain,
op(e3,unit) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_29) ).
cnf(i_0_93,plain,
op(e4,e4) != op(e4,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_93) ).
cnf(i_0_103,plain,
op(e3,e4) != op(e3,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_103) ).
cnf(i_0_184,plain,
op(e3,e0) != op(e0,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_184) ).
cnf(i_0_96,plain,
op(e4,e1) != op(e4,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_96) ).
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/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_5) ).
cnf(i_0_83,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_83) ).
cnf(i_0_163,plain,
op(e4,e2) != op(e0,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_163) ).
cnf(i_0_126,plain,
op(e1,e1) != op(e1,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_126) ).
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/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_10) ).
cnf(i_0_65,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_65) ).
cnf(i_0_191,plain,
e3 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_191) ).
cnf(i_0_341,negated_conjecture,
( op(e0,op(e0,e0)) = e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| op(e1,op(e1,e0)) != e0
| op(e3,op(e3,e0)) != e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_341) ).
cnf(i_0_357,negated_conjecture,
( op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e3,op(e3,e0)) != e0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_357) ).
cnf(i_0_104,plain,
op(e3,e3) != op(e3,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_104) ).
cnf(i_0_181,plain,
op(e3,e0) != op(e1,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_181) ).
cnf(i_0_106,plain,
op(e3,e1) != op(e3,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_106) ).
cnf(i_0_178,plain,
op(e4,e0) != op(e2,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_178) ).
cnf(i_0_183,plain,
op(e4,e0) != op(e0,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_183) ).
cnf(i_0_94,plain,
op(e4,e3) != op(e4,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_94) ).
cnf(i_0_64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_64) ).
cnf(i_0_175,plain,
op(e0,e1) != op(e2,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_175) ).
cnf(i_0_202,negated_conjecture,
( op(e4,e4) = e4
| epred8_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_202) ).
cnf(i_0_201,negated_conjecture,
( epred8_0
| op(e4,e4) != e4 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_201) ).
cnf(i_0_542,plain,
( op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| epred7_0
| ~ epred8_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_542) ).
cnf(i_0_510,plain,
( op(e3,e3) = e3
| op(e4,e4) = e3
| epred6_0
| op(e4,e0) != e4
| ~ epred7_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_510) ).
cnf(i_0_501,plain,
( op(e4,e4) = e3
| epred6_0
| op(e3,e3) != e3
| op(e4,e0) != e4
| ~ epred7_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_501) ).
cnf(i_0_487,plain,
( op(e0,e0) = e3
| op(e2,e2) = e3
| op(e3,e3) = e1
| epred5_0
| ~ epred6_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_487) ).
cnf(i_0_28,plain,
op(unit,e4) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_28) ).
cnf(i_0_63,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_63) ).
cnf(i_0_98,plain,
op(e3,e4) != op(e3,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_98) ).
cnf(i_0_469,plain,
( op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e4) = e2
| epred4_0
| ~ epred5_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_469) ).
cnf(i_0_59,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_59) ).
cnf(i_0_379,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_379) ).
cnf(i_0_412,plain,
( op(e2,e2) = e1
| op(e3,e3) = e1
| epred2_0
| op(e1,e1) != e1
| ~ epred3_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_412) ).
cnf(i_0_443,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_443) ).
cnf(i_0_370,plain,
( op(e0,e0) = e1
| op(e2,e2) = e0
| op(e0,e0) != e0
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_370) ).
cnf(i_0_421,plain,
( op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_421) ).
cnf(i_0_397,plain,
( op(e0,e0) = e1
| op(e0,e0) = e4
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_397) ).
cnf(i_0_136,plain,
op(e0,e1) != op(e0,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_136) ).
cnf(i_0_99,plain,
op(e3,e3) != op(e3,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_99) ).
cnf(i_0_105,plain,
op(e3,e0) != op(e3,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_105) ).
cnf(i_0_100,plain,
op(e3,e4) != op(e3,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mzieg8xv/lgb.p',i_0_100) ).
cnf(c_0_627,plain,
op(e2,op(e2,e2)) = e3,
i_0_198 ).
cnf(c_0_628,plain,
op(e2,e2) = e4,
i_0_197 ).
cnf(c_0_629,plain,
op(op(e2,e2),op(e2,e2)) = e0,
i_0_200 ).
cnf(c_0_630,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
i_0_199 ).
cnf(c_0_631,plain,
op(e2,e4) = e3,
inference(rw,[status(thm)],[c_0_627,c_0_628]) ).
cnf(c_0_632,negated_conjecture,
( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) = e4 ),
i_0_203 ).
cnf(c_0_633,plain,
op(e4,e4) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_629,c_0_628]),c_0_628]) ).
cnf(c_0_634,plain,
op(e3,e4) = e1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_630,c_0_628]),c_0_631]),c_0_628]) ).
cnf(c_0_635,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
i_0_41 ).
cnf(c_0_636,plain,
e3 != e2,
i_0_189 ).
cnf(c_0_637,plain,
e0 != e2,
i_0_195 ).
cnf(c_0_638,plain,
e1 != e2,
i_0_192 ).
cnf(c_0_639,plain,
op(e2,unit) = e2,
i_0_31 ).
cnf(c_0_640,plain,
( unit = e0
| e1 = unit
| unit = e2
| e3 = unit
| e4 = unit ),
i_0_26 ).
cnf(c_0_641,negated_conjecture,
( op(e4,op(e0,e4)) = e0
| op(e4,op(e1,e4)) = e1
| op(e4,op(e2,e4)) = e2
| op(e4,op(e3,e4)) = e3
| op(e4,op(e4,e4)) != e4 ),
i_0_204 ).
cnf(c_0_642,negated_conjecture,
( op(e4,op(e1,e4)) = e1
| op(e4,op(e0,e4)) = e0
| op(e4,e1) = e3
| op(e4,e0) = e4
| op(e4,e3) = e2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_632,c_0_631]),c_0_633]),c_0_634]) ).
cnf(c_0_643,plain,
( op(e0,e4) = e4
| op(e1,e4) = e4
| op(e2,e4) = e4
| op(e3,e4) = e4
| op(e4,e4) = e4 ),
i_0_37 ).
cnf(c_0_644,plain,
e4 != e3,
i_0_187 ).
cnf(c_0_645,plain,
e4 != e0,
i_0_193 ).
cnf(c_0_646,plain,
e4 != e1,
i_0_190 ).
cnf(c_0_647,plain,
op(e1,e4) != op(e1,e2),
i_0_118 ).
cnf(c_0_648,plain,
( op(e1,e4) = e2
| op(e0,e4) = e2 ),
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_635,c_0_631]),c_0_633]),c_0_634]),c_0_636]),c_0_637]),c_0_638]) ).
cnf(c_0_649,plain,
op(unit,e2) = e2,
i_0_32 ).
cnf(c_0_650,plain,
( unit = e2
| unit = e0
| unit = e1
| unit = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_640]),c_0_631]),c_0_636]) ).
cnf(c_0_651,negated_conjecture,
( op(e4,op(e1,e4)) = e1
| op(e4,op(e0,e4)) = e0
| op(e4,e1) = e3
| op(e4,e3) = e2 ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_641,c_0_631]),c_0_634]),c_0_633]),c_0_642]) ).
cnf(c_0_652,plain,
( op(e1,e4) = e4
| op(e0,e4) = 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_643,c_0_631]),c_0_633]),c_0_634]),c_0_644]),c_0_645]),c_0_646]) ).
cnf(c_0_653,plain,
e1 != e0,
i_0_196 ).
cnf(c_0_654,plain,
( op(e0,e4) = e2
| op(e1,e2) != e2 ),
inference(spm,[status(thm)],[c_0_647,c_0_648]) ).
cnf(c_0_655,plain,
( op(e1,e2) = e2
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_649,c_0_650]) ).
cnf(c_0_656,plain,
op(e4,e4) != op(e4,e2),
i_0_88 ).
cnf(c_0_657,plain,
op(unit,e0) = e0,
i_0_36 ).
cnf(c_0_658,plain,
op(e3,e4) != op(e3,e3),
i_0_97 ).
cnf(c_0_659,plain,
op(e4,unit) = e4,
i_0_27 ).
cnf(c_0_660,plain,
( op(e4,op(e0,e4)) = e0
| op(e0,e4) = e4
| op(e4,e3) = e2
| op(e4,e1) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_651,c_0_652]),c_0_633]),c_0_653]) ).
cnf(c_0_661,plain,
( op(e0,e4) = e2
| unit = e2
| unit = e0
| unit = e3 ),
inference(spm,[status(thm)],[c_0_654,c_0_655]) ).
cnf(c_0_662,plain,
op(e4,e2) != e0,
inference(rw,[status(thm)],[c_0_656,c_0_633]) ).
cnf(c_0_663,plain,
e4 != e2,
i_0_188 ).
cnf(c_0_664,plain,
op(unit,e1) = e1,
i_0_34 ).
cnf(c_0_665,plain,
op(e0,e2) != op(e2,e2),
i_0_165 ).
cnf(c_0_666,plain,
( op(e2,e0) = e0
| op(e2,e1) = e0
| op(e2,e2) = e0
| op(e2,e3) = e0
| op(e2,e4) = e0 ),
i_0_66 ).
cnf(c_0_667,plain,
e3 != e0,
i_0_194 ).
cnf(c_0_668,plain,
op(e1,e0) != op(e2,e0),
i_0_182 ).
cnf(c_0_669,plain,
( op(e1,e0) = e0
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_657,c_0_650]) ).
cnf(c_0_670,plain,
( op(e0,e3) = e1
| op(e1,e3) = e1
| op(e2,e3) = e1
| op(e3,e3) = e1
| op(e4,e3) = e1 ),
i_0_53 ).
cnf(c_0_671,plain,
op(e3,e3) != e1,
inference(rw,[status(thm)],[c_0_658,c_0_634]) ).
cnf(c_0_672,plain,
( op(e4,e1) = e4
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_659,c_0_650]) ).
cnf(c_0_673,plain,
( op(e4,e1) = e3
| op(e4,e3) = e2
| unit = e3
| unit = e0
| unit = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_660,c_0_661]),c_0_662]),c_0_663]) ).
cnf(c_0_674,plain,
op(e1,e3) != op(e1,e1),
i_0_121 ).
cnf(c_0_675,plain,
( op(e1,e1) = e1
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_664,c_0_650]) ).
cnf(c_0_676,plain,
( op(e0,e2) = e0
| op(e0,e2) = e1
| op(e0,e2) = e2
| op(e0,e2) = e3
| op(e0,e2) = e4 ),
i_0_23 ).
cnf(c_0_677,plain,
op(e0,e2) != e4,
inference(rw,[status(thm)],[c_0_665,c_0_628]) ).
cnf(c_0_678,plain,
( op(e2,e3) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_666,c_0_628]),c_0_631]),c_0_645]),c_0_667]) ).
cnf(c_0_679,plain,
( op(e2,e1) = e2
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_639,c_0_650]) ).
cnf(c_0_680,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e2,e0) != e0 ),
inference(spm,[status(thm)],[c_0_668,c_0_669]) ).
cnf(c_0_681,plain,
( op(e2,e3) = e1
| op(e4,e3) = e1
| op(e0,e3) = e1
| op(e1,e3) = e1 ),
inference(sr,[status(thm)],[c_0_670,c_0_671]) ).
cnf(c_0_682,plain,
( op(e4,e3) = e2
| unit = e2
| unit = e0
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_673]),c_0_644]) ).
cnf(c_0_683,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e1,e3) != e1 ),
inference(spm,[status(thm)],[c_0_674,c_0_675]) ).
cnf(c_0_684,plain,
op(e0,unit) = e0,
i_0_35 ).
cnf(c_0_685,plain,
( op(e0,e0) = e4
| op(e0,e1) = e4
| op(e0,e2) = e4
| op(e0,e3) = e4
| op(e0,e4) = e4 ),
i_0_78 ).
cnf(c_0_686,plain,
op(e4,e1) != op(e0,e1),
i_0_173 ).
cnf(c_0_687,plain,
op(e3,e2) != op(e2,e2),
i_0_159 ).
cnf(c_0_688,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_689,plain,
op(e0,e3) != op(e0,e2),
i_0_129 ).
cnf(c_0_690,plain,
( op(e0,e2) = e3
| op(e0,e2) = e1
| op(e0,e2) = e0
| op(e0,e2) = e2 ),
inference(sr,[status(thm)],[c_0_676,c_0_677]) ).
cnf(c_0_691,plain,
( op(e2,e3) = e0
| unit = e2
| unit = e0
| unit = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_678,c_0_679]),c_0_637]),c_0_680]) ).
cnf(c_0_692,plain,
( op(e0,e3) = e1
| op(e2,e3) = e1
| unit = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_682]),c_0_638]),c_0_683]) ).
cnf(c_0_693,plain,
op(e0,e1) != op(e0,e2),
i_0_132 ).
cnf(c_0_694,plain,
( op(e0,e1) = e0
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_684,c_0_650]) ).
cnf(c_0_695,plain,
op(e1,e2) != op(e0,e2),
i_0_166 ).
cnf(c_0_696,plain,
( op(e0,e3) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4
| op(e0,e4) = e4 ),
inference(sr,[status(thm)],[c_0_685,c_0_677]) ).
cnf(c_0_697,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e0,e1) != e4 ),
inference(spm,[status(thm)],[c_0_686,c_0_672]) ).
cnf(c_0_698,plain,
( op(e3,e0) = e4
| op(e3,e1) = e4
| op(e3,e2) = e4
| op(e3,e3) = e4
| op(e3,e4) = e4 ),
i_0_48 ).
cnf(c_0_699,plain,
op(e3,e2) != e4,
inference(rw,[status(thm)],[c_0_687,c_0_628]) ).
cnf(c_0_700,plain,
op(e3,unit) = e3,
i_0_29 ).
cnf(c_0_701,plain,
op(e4,e4) != op(e4,e0),
i_0_93 ).
cnf(c_0_702,plain,
op(e3,e4) != op(e3,e0),
i_0_103 ).
cnf(c_0_703,plain,
( op(e4,e3) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_688,c_0_633]),c_0_667]) ).
cnf(c_0_704,plain,
( op(e0,e2) = e2
| op(e0,e2) = e0
| op(e0,e2) = e3
| op(e0,e3) != e1 ),
inference(spm,[status(thm)],[c_0_689,c_0_690]) ).
cnf(c_0_705,plain,
( op(e0,e3) = e1
| unit = e3
| unit = e0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_692]),c_0_653]) ).
cnf(c_0_706,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e0,e2) != e0 ),
inference(spm,[status(thm)],[c_0_693,c_0_694]) ).
cnf(c_0_707,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e0,e2) != e2 ),
inference(spm,[status(thm)],[c_0_695,c_0_655]) ).
cnf(c_0_708,plain,
op(e3,e0) != op(e0,e0),
i_0_184 ).
cnf(c_0_709,plain,
( op(e0,e0) = e4
| op(e0,e3) = e4
| unit = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_696,c_0_661]),c_0_663]),c_0_697]) ).
cnf(c_0_710,plain,
( op(e3,e3) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_698,c_0_634]),c_0_699]),c_0_646]) ).
cnf(c_0_711,plain,
( op(e3,e1) = e3
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_700,c_0_650]) ).
cnf(c_0_712,plain,
op(e4,e1) != op(e4,e0),
i_0_96 ).
cnf(c_0_713,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_714,plain,
op(e4,e0) != e0,
inference(rw,[status(thm)],[c_0_701,c_0_633]) ).
cnf(c_0_715,plain,
( op(e0,e0) = e1
| op(e1,e0) = e1
| op(e2,e0) = e1
| op(e3,e0) = e1
| op(e4,e0) = e1 ),
i_0_83 ).
cnf(c_0_716,plain,
op(e3,e0) != e1,
inference(rw,[status(thm)],[c_0_702,c_0_634]) ).
cnf(c_0_717,plain,
op(e4,e2) != op(e0,e2),
i_0_163 ).
cnf(c_0_718,plain,
( op(e4,e2) = e3
| op(e4,e0) = e3
| op(e4,e3) = e3
| unit = e2
| unit = e0
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_703,c_0_672]),c_0_644]) ).
cnf(c_0_719,plain,
( op(e0,e2) = e3
| unit = e2
| unit = e0
| unit = e3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_704,c_0_705]),c_0_706]),c_0_707]) ).
cnf(c_0_720,plain,
op(e1,e1) != op(e1,e0),
i_0_126 ).
cnf(c_0_721,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_722,plain,
( op(e0,e3) = e4
| unit = e2
| unit = e0
| unit = e3
| op(e3,e0) != e4 ),
inference(spm,[status(thm)],[c_0_708,c_0_709]) ).
cnf(c_0_723,plain,
( op(e3,e0) = e4
| op(e3,e3) = e4
| unit = e2
| unit = e0
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_710,c_0_711]),c_0_644]) ).
cnf(c_0_724,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e2,e2) = e0
| op(e3,e2) = e0
| op(e4,e2) = e0 ),
i_0_65 ).
cnf(c_0_725,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e4,e0) != e4 ),
inference(spm,[status(thm)],[c_0_712,c_0_672]) ).
cnf(c_0_726,plain,
( op(e4,e0) = e2
| op(e4,e0) = e4
| op(e4,e0) = e1
| op(e4,e0) = e3 ),
inference(sr,[status(thm)],[c_0_713,c_0_714]) ).
cnf(c_0_727,plain,
( op(e2,e0) = e1
| op(e4,e0) = e1
| op(e0,e0) = e1
| op(e1,e0) = e1 ),
inference(sr,[status(thm)],[c_0_715,c_0_716]) ).
cnf(c_0_728,plain,
( op(e4,e3) = e3
| op(e4,e0) = e3
| unit = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_717,c_0_718]),c_0_719]) ).
cnf(c_0_729,plain,
e3 != e1,
i_0_191 ).
cnf(c_0_730,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e1,e0) != e1 ),
inference(spm,[status(thm)],[c_0_720,c_0_675]) ).
cnf(c_0_731,negated_conjecture,
( op(e0,op(e0,e0)) = e0
| op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| op(e1,op(e1,e0)) != e0
| op(e3,op(e3,e0)) != e0 ),
i_0_341 ).
cnf(c_0_732,negated_conjecture,
( op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| op(e0,op(e0,e0)) != e0
| op(e1,op(e1,e0)) != e0
| op(e3,op(e3,e0)) != e0 ),
i_0_357 ).
cnf(c_0_733,plain,
op(e3,e3) != op(e3,e0),
i_0_104 ).
cnf(c_0_734,plain,
( op(e3,e0) = e2
| op(e3,e0) = e4
| op(e3,e0) = e0
| op(e3,e0) = e3 ),
inference(sr,[status(thm)],[c_0_721,c_0_716]) ).
cnf(c_0_735,plain,
( op(e3,e3) = e4
| op(e0,e3) = e4
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_722,c_0_723]) ).
cnf(c_0_736,plain,
op(e3,e0) != op(e1,e0),
i_0_181 ).
cnf(c_0_737,plain,
op(e3,e1) != op(e3,e0),
i_0_106 ).
cnf(c_0_738,plain,
( op(e3,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| op(e4,e2) = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_724,c_0_628]),c_0_645]) ).
cnf(c_0_739,plain,
op(e4,e0) != op(e2,e0),
i_0_178 ).
cnf(c_0_740,plain,
( op(e4,e0) = e3
| op(e4,e0) = e1
| op(e4,e0) = e2
| unit = e3
| unit = e0
| unit = e2 ),
inference(spm,[status(thm)],[c_0_725,c_0_726]) ).
cnf(c_0_741,plain,
( op(e4,e3) = e3
| op(e0,e0) = e1
| op(e2,e0) = e1
| unit = e2
| unit = e0
| unit = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_727,c_0_728]),c_0_729]),c_0_730]) ).
cnf(c_0_742,plain,
op(e4,e0) != op(e0,e0),
i_0_183 ).
cnf(c_0_743,negated_conjecture,
( op(e0,op(e4,e0)) = e4
| op(e0,op(e2,e0)) = e2
| op(e1,op(e1,e0)) != e0
| op(e3,op(e3,e0)) != e0 ),
inference(csr,[status(thm)],[c_0_731,c_0_732]) ).
cnf(c_0_744,plain,
( op(e3,e0) = e3
| op(e3,e0) = e0
| op(e3,e0) = e2
| op(e3,e3) != e4 ),
inference(spm,[status(thm)],[c_0_733,c_0_734]) ).
cnf(c_0_745,plain,
( op(e3,e3) = e4
| unit = e2
| unit = e0
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_705]),c_0_646]) ).
cnf(c_0_746,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e3,e0) != e0 ),
inference(spm,[status(thm)],[c_0_736,c_0_669]) ).
cnf(c_0_747,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e3,e0) != e3 ),
inference(spm,[status(thm)],[c_0_737,c_0_711]) ).
cnf(c_0_748,plain,
( op(e0,e2) = e0
| op(e1,e2) = e0
| op(e3,e2) = e0 ),
inference(sr,[status(thm)],[c_0_738,c_0_662]) ).
cnf(c_0_749,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| unit = e2
| unit = e0
| unit = e3
| op(e2,e0) != e1 ),
inference(spm,[status(thm)],[c_0_739,c_0_740]) ).
cnf(c_0_750,plain,
( op(e2,e0) = e1
| op(e0,e0) = e1
| unit = e3
| unit = e0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_741]),c_0_636]) ).
cnf(c_0_751,plain,
( op(e4,e0) = e2
| op(e4,e0) = e3
| unit = e2
| unit = e0
| unit = e3
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_742,c_0_740]) ).
cnf(c_0_752,negated_conjecture,
( op(e0,op(e2,e0)) = e2
| op(e0,op(e4,e0)) = e4
| unit = e2
| unit = e0
| unit = e3
| op(e3,op(e3,e0)) != e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_743,c_0_669]),c_0_669]) ).
cnf(c_0_753,plain,
( op(e3,e0) = e2
| unit = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_744,c_0_745]),c_0_746]),c_0_747]) ).
cnf(c_0_754,plain,
( op(e3,e2) = e0
| unit = e2
| unit = e0
| unit = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_655,c_0_748]),c_0_637]),c_0_706]) ).
cnf(c_0_755,plain,
op(e4,e3) != op(e4,e0),
i_0_94 ).
cnf(c_0_756,plain,
( op(e4,e0) = e3
| op(e4,e0) = e2
| unit = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_749,c_0_750]),c_0_751]) ).
cnf(c_0_757,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
i_0_64 ).
cnf(c_0_758,plain,
( op(e0,op(e4,e0)) = e4
| op(e0,op(e2,e0)) = e2
| unit = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_752,c_0_753]),c_0_754]) ).
cnf(c_0_759,plain,
( op(e4,e0) = e3
| unit = e2
| unit = e0
| unit = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_682]) ).
cnf(c_0_760,plain,
( op(e2,e3) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_757,c_0_628]),c_0_631]),c_0_646]),c_0_729]) ).
cnf(c_0_761,plain,
op(e0,e1) != op(e2,e1),
i_0_175 ).
cnf(c_0_762,plain,
( op(e0,op(e2,e0)) = e2
| op(e0,e3) = e4
| unit = e2
| unit = e0
| unit = e3 ),
inference(spm,[status(thm)],[c_0_758,c_0_759]) ).
cnf(c_0_763,plain,
( op(e2,e0) = e1
| op(e2,e3) = e1
| unit = e2
| unit = e0
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_679]),c_0_638]) ).
cnf(c_0_764,plain,
( unit = e2
| unit = e0
| unit = e3
| op(e0,e1) != e2 ),
inference(spm,[status(thm)],[c_0_761,c_0_679]) ).
cnf(c_0_765,negated_conjecture,
( op(e4,e4) = e4
| epred8_0 ),
i_0_202 ).
cnf(c_0_766,negated_conjecture,
( epred8_0
| op(e4,e4) != e4 ),
i_0_201 ).
cnf(c_0_767,plain,
( op(e2,e3) = e1
| op(e0,e3) = e4
| unit = e3
| unit = e0
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_762,c_0_763]),c_0_764]) ).
cnf(c_0_768,plain,
( op(e4,e4) = e1
| op(e4,e4) = e2
| op(e4,e4) = e3
| epred7_0
| ~ epred8_0 ),
i_0_542 ).
cnf(c_0_769,negated_conjecture,
epred8_0,
inference(csr,[status(thm)],[c_0_765,c_0_766]) ).
cnf(c_0_770,plain,
( op(e0,e3) = e4
| unit = e3
| unit = e0
| unit = e2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_691,c_0_767]),c_0_653]) ).
cnf(c_0_771,plain,
( op(e3,e3) = e3
| op(e4,e4) = e3
| epred6_0
| op(e4,e0) != e4
| ~ epred7_0 ),
i_0_510 ).
cnf(c_0_772,plain,
epred7_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_768,c_0_633]),c_0_633]),c_0_633]),c_0_769])]),c_0_637]),c_0_653]),c_0_667]) ).
cnf(c_0_773,plain,
( unit = e2
| unit = e0
| unit = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_705,c_0_770]),c_0_646]) ).
cnf(c_0_774,plain,
( op(e4,e4) = e3
| epred6_0
| op(e3,e3) != e3
| op(e4,e0) != e4
| ~ epred7_0 ),
i_0_501 ).
cnf(c_0_775,plain,
( op(e3,e3) = e3
| epred6_0
| op(e4,e0) != e4 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_771,c_0_633]),c_0_772])]),c_0_667]) ).
cnf(c_0_776,plain,
( unit = e3
| unit = e0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_639,c_0_773]),c_0_628]),c_0_663]) ).
cnf(c_0_777,plain,
( epred6_0
| op(e4,e0) != e4 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_774,c_0_633]),c_0_667]),c_0_772])]),c_0_775]) ).
cnf(c_0_778,plain,
( op(e4,e0) = e4
| unit = e3 ),
inference(spm,[status(thm)],[c_0_659,c_0_776]) ).
cnf(c_0_779,plain,
( op(e0,e0) = e3
| op(e2,e2) = e3
| op(e3,e3) = e1
| epred5_0
| ~ epred6_0 ),
i_0_487 ).
cnf(c_0_780,plain,
op(unit,e4) = e4,
i_0_28 ).
cnf(c_0_781,plain,
( unit = e3
| epred6_0 ),
inference(spm,[status(thm)],[c_0_777,c_0_778]) ).
cnf(c_0_782,plain,
( op(e3,e3) = e1
| op(e0,e0) = e3
| epred5_0
| ~ epred6_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_779,c_0_628]),c_0_644]) ).
cnf(c_0_783,plain,
epred6_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_781]),c_0_634]),c_0_646]) ).
cnf(c_0_784,plain,
( op(e0,e0) = e3
| epred5_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_782,c_0_783])]),c_0_671]) ).
cnf(c_0_785,plain,
( op(e0,e0) = e0
| unit = e3 ),
inference(spm,[status(thm)],[c_0_657,c_0_776]) ).
cnf(c_0_786,plain,
( op(e0,e2) = e1
| op(e1,e2) = e1
| op(e2,e2) = e1
| op(e3,e2) = e1
| op(e4,e2) = e1 ),
i_0_63 ).
cnf(c_0_787,plain,
op(e3,e4) != op(e3,e2),
i_0_98 ).
cnf(c_0_788,plain,
( op(e2,e2) = e2
| op(e2,e2) = e3
| op(e4,e4) = e2
| epred4_0
| ~ epred5_0 ),
i_0_469 ).
cnf(c_0_789,plain,
( unit = e3
| epred5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_784,c_0_785]),c_0_667]) ).
cnf(c_0_790,plain,
( op(e0,e2) = e3
| op(e1,e2) = e3
| op(e2,e2) = e3
| op(e3,e2) = e3
| op(e4,e2) = e3 ),
i_0_59 ).
cnf(c_0_791,plain,
( op(e3,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1
| op(e4,e2) = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_786,c_0_628]),c_0_646]) ).
cnf(c_0_792,plain,
op(e3,e2) != e1,
inference(rw,[status(thm)],[c_0_787,c_0_634]) ).
cnf(c_0_793,plain,
( op(e0,e0) = e0
| op(e0,e0) = e1
| op(e2,e2) = e0
| ~ epred1_0 ),
i_0_379 ).
cnf(c_0_794,plain,
( op(e2,e2) = e1
| op(e3,e3) = e1
| epred2_0
| op(e1,e1) != e1
| ~ epred3_0 ),
i_0_412 ).
cnf(c_0_795,plain,
( op(e2,e2) = e0
| op(e2,e2) = e1
| op(e4,e4) = e1
| epred3_0
| ~ epred4_0 ),
i_0_443 ).
cnf(c_0_796,plain,
( epred4_0
| ~ epred5_0 ),
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_788,c_0_628]),c_0_628]),c_0_633]),c_0_663]),c_0_644]),c_0_637]) ).
cnf(c_0_797,plain,
epred5_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_789]),c_0_634]),c_0_646]) ).
cnf(c_0_798,plain,
( op(e3,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| op(e4,e2) = e3 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_790,c_0_628]),c_0_644]) ).
cnf(c_0_799,plain,
( op(e4,e2) = e1
| op(e0,e2) = e1
| op(e1,e2) = e1 ),
inference(sr,[status(thm)],[c_0_791,c_0_792]) ).
cnf(c_0_800,plain,
( op(e0,e0) = e1
| op(e2,e2) = e0
| op(e0,e0) != e0
| ~ epred1_0 ),
i_0_370 ).
cnf(c_0_801,plain,
( op(e0,e0) = e1
| op(e0,e0) = e0
| ~ epred1_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_793,c_0_628]),c_0_645]) ).
cnf(c_0_802,plain,
( op(e1,e1) = e1
| op(e2,e2) = e1
| op(e3,e3) = e1
| epred2_0
| ~ epred3_0 ),
i_0_421 ).
cnf(c_0_803,plain,
( op(e3,e3) = e1
| epred2_0
| op(e1,e1) != e1
| ~ epred3_0 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_794,c_0_628]),c_0_646]) ).
cnf(c_0_804,plain,
( epred3_0
| ~ epred4_0 ),
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_795,c_0_628]),c_0_628]),c_0_633]),c_0_645]),c_0_646]),c_0_653]) ).
cnf(c_0_805,plain,
epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_796,c_0_797])]) ).
cnf(c_0_806,plain,
( op(e1,e2) = e1
| op(e0,e2) = e1
| op(e0,e2) = e3
| op(e1,e2) = e3
| op(e3,e2) = e3 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_799]),c_0_729]) ).
cnf(c_0_807,plain,
( op(e0,e0) = e1
| op(e0,e0) = e4
| op(e3,e3) = e0
| epred1_0
| ~ epred2_0 ),
i_0_397 ).
cnf(c_0_808,plain,
( op(e0,e0) = e1
| ~ epred1_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_800,c_0_628]),c_0_645]),c_0_801]) ).
cnf(c_0_809,plain,
( op(e3,e3) = e1
| epred2_0
| ~ epred3_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_802,c_0_628]),c_0_646]),c_0_803]) ).
cnf(c_0_810,plain,
epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_804,c_0_805])]) ).
cnf(c_0_811,plain,
( op(e3,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| op(e0,e2) = e1
| op(e3,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_806]),c_0_653]) ).
cnf(c_0_812,plain,
( op(e3,e3) = e0
| op(e0,e0) = e1
| op(e0,e0) = e4
| ~ epred2_0 ),
inference(csr,[status(thm)],[c_0_807,c_0_808]) ).
cnf(c_0_813,plain,
epred2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_809,c_0_810])]),c_0_671]) ).
cnf(c_0_814,plain,
op(e0,e1) != op(e0,e0),
i_0_136 ).
cnf(c_0_815,plain,
( op(e0,e1) = e1
| unit = e3 ),
inference(spm,[status(thm)],[c_0_664,c_0_776]) ).
cnf(c_0_816,plain,
( op(e0,e2) = e1
| op(e0,e2) = e3
| op(e3,e2) = e3
| op(e3,e2) = e0
| op(e0,e2) = e0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_811]),c_0_667]) ).
cnf(c_0_817,plain,
( op(e0,e2) = e2
| unit = e3 ),
inference(spm,[status(thm)],[c_0_649,c_0_776]) ).
cnf(c_0_818,plain,
( op(e0,e0) = e4
| op(e0,e0) = e1
| op(e3,e3) = e0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_812,c_0_813])]) ).
cnf(c_0_819,plain,
( unit = e3
| op(e0,e0) != e1 ),
inference(spm,[status(thm)],[c_0_814,c_0_815]) ).
cnf(c_0_820,plain,
op(e3,e3) != op(e3,e2),
i_0_99 ).
cnf(c_0_821,plain,
( op(e3,e2) = e0
| op(e3,e2) = e3
| unit = e3 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_817]),c_0_638]),c_0_636]),c_0_637]) ).
cnf(c_0_822,plain,
( op(e3,e3) = e0
| unit = e3 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_785,c_0_818]),c_0_645]),c_0_819]) ).
cnf(c_0_823,plain,
op(e3,e0) != op(e3,e2),
i_0_105 ).
cnf(c_0_824,plain,
( op(e3,e2) = e3
| unit = e3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_821]),c_0_822]) ).
cnf(c_0_825,plain,
( op(e3,e0) = e3
| unit = e3 ),
inference(spm,[status(thm)],[c_0_700,c_0_776]) ).
cnf(c_0_826,plain,
op(e3,e4) != op(e3,e1),
i_0_100 ).
cnf(c_0_827,plain,
unit = e3,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_823,c_0_824]),c_0_825]) ).
cnf(c_0_828,plain,
op(e3,e1) != e1,
inference(rw,[status(thm)],[c_0_826,c_0_634]) ).
cnf(c_0_829,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_664,c_0_827]),c_0_828]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ALG056+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Wed Jun 8 08:21:23 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.37 # ENIGMATIC: Selected complete mode:
% 13.22/2.95 # ENIGMATIC: Solved by autoschedule-lgb:
% 13.22/2.95 # No SInE strategy applied
% 13.22/2.95 # Trying AutoSched0 for 150 seconds
% 13.22/2.95 # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 13.22/2.95 # and selection function SelectComplexAHP.
% 13.22/2.95 #
% 13.22/2.95 # Preprocessing time : 0.028 s
% 13.22/2.95
% 13.22/2.95 # Proof found!
% 13.22/2.95 # SZS status Theorem
% 13.22/2.95 # SZS output start CNFRefutation
% See solution above
% 13.22/2.95 # Training examples: 0 positive, 0 negative
% 13.22/2.95
% 13.22/2.95 # -------------------------------------------------
% 13.22/2.95 # User time : 0.769 s
% 13.22/2.95 # System time : 0.025 s
% 13.22/2.95 # Total time : 0.794 s
% 13.22/2.95 # Maximum resident set size: 7128 pages
% 13.22/2.95
%------------------------------------------------------------------------------