TSTP Solution File: ALG093+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG093+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 18:02:19 EDT 2022
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 131
% Syntax : Number of clauses : 339 ( 131 unt; 55 nHn; 339 RR)
% Number of literals : 849 ( 0 equ; 462 neg)
% Maximal clause size : 87 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 102 ( 101 usr; 101 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(unit,e0),
file('ALG093+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e1,e0),
file('ALG093+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e2,e1),
file('ALG093+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e3,e1),
file('ALG093+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e4,e1),
file('ALG093+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(unit,e0)
| skC26 ),
file('ALG093+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e0,e0),e0),
file('ALG093+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e0,e1),e1),
file('ALG093+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e0,e2),e2),
file('ALG093+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e0,e3),e3),
file('ALG093+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e0,e4),e4),
file('ALG093+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e1,e0),e1),
file('ALG093+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e1,e1),e0),
file('ALG093+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e1,e2),e4),
file('ALG093+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e1,e3),e2),
file('ALG093+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e1,e4),e3),
file('ALG093+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e2,e0),e2),
file('ALG093+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e2,e1),e4),
file('ALG093+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e2,e2),e3),
file('ALG093+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e2,e3),e0),
file('ALG093+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e2,e4),e1),
file('ALG093+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e3,e0),e3),
file('ALG093+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e3,e1),e2),
file('ALG093+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e3,e2),e1),
file('ALG093+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e3,e3),e4),
file('ALG093+1.p',unknown),
[] ).
cnf(36,axiom,
equal(op(e3,e4),e0),
file('ALG093+1.p',unknown),
[] ).
cnf(37,axiom,
equal(op(e4,e0),e4),
file('ALG093+1.p',unknown),
[] ).
cnf(38,axiom,
equal(op(e4,e1),e3),
file('ALG093+1.p',unknown),
[] ).
cnf(39,axiom,
equal(op(e4,e2),e0),
file('ALG093+1.p',unknown),
[] ).
cnf(40,axiom,
equal(op(e4,e3),e1),
file('ALG093+1.p',unknown),
[] ).
cnf(41,axiom,
equal(op(e4,e4),e2),
file('ALG093+1.p',unknown),
[] ).
cnf(66,axiom,
( equal(op(e0,e0),e1)
| skC100 ),
file('ALG093+1.p',unknown),
[] ).
cnf(68,axiom,
( equal(op(e0,e2),e1)
| skC102 ),
file('ALG093+1.p',unknown),
[] ).
cnf(69,axiom,
( equal(op(e0,e3),e1)
| skC103 ),
file('ALG093+1.p',unknown),
[] ).
cnf(70,axiom,
( equal(op(e0,e4),e1)
| skC104 ),
file('ALG093+1.p',unknown),
[] ).
cnf(72,axiom,
( equal(op(e1,e1),e1)
| skC106 ),
file('ALG093+1.p',unknown),
[] ).
cnf(73,axiom,
( equal(op(e1,e2),e1)
| skC107 ),
file('ALG093+1.p',unknown),
[] ).
cnf(74,axiom,
( equal(op(e1,e3),e1)
| skC108 ),
file('ALG093+1.p',unknown),
[] ).
cnf(75,axiom,
( equal(op(e1,e4),e1)
| skC109 ),
file('ALG093+1.p',unknown),
[] ).
cnf(76,axiom,
( equal(op(e2,e0),e1)
| skC110 ),
file('ALG093+1.p',unknown),
[] ).
cnf(77,axiom,
( equal(op(e2,e1),e1)
| skC111 ),
file('ALG093+1.p',unknown),
[] ).
cnf(78,axiom,
( equal(op(e2,e2),e1)
| skC112 ),
file('ALG093+1.p',unknown),
[] ).
cnf(79,axiom,
( equal(op(e2,e3),e1)
| skC113 ),
file('ALG093+1.p',unknown),
[] ).
cnf(81,axiom,
( equal(op(e3,e0),e1)
| skC115 ),
file('ALG093+1.p',unknown),
[] ).
cnf(82,axiom,
( equal(op(e3,e1),e1)
| skC116 ),
file('ALG093+1.p',unknown),
[] ).
cnf(84,axiom,
( equal(op(e3,e3),e1)
| skC118 ),
file('ALG093+1.p',unknown),
[] ).
cnf(85,axiom,
( equal(op(e3,e4),e1)
| skC119 ),
file('ALG093+1.p',unknown),
[] ).
cnf(86,axiom,
( equal(op(e4,e0),e1)
| skC120 ),
file('ALG093+1.p',unknown),
[] ).
cnf(87,axiom,
( equal(op(e4,e1),e1)
| skC121 ),
file('ALG093+1.p',unknown),
[] ).
cnf(88,axiom,
( equal(op(e4,e2),e1)
| skC122 ),
file('ALG093+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ equal(op(e0,e0),e0)
| skC1 ),
file('ALG093+1.p',unknown),
[] ).
cnf(168,axiom,
( ~ equal(op(e0,e1),e1)
| skC2 ),
file('ALG093+1.p',unknown),
[] ).
cnf(174,axiom,
( ~ equal(op(e0,e2),e2)
| skC3 ),
file('ALG093+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ equal(op(e0,e3),e3)
| skC4 ),
file('ALG093+1.p',unknown),
[] ).
cnf(186,axiom,
( ~ equal(op(e0,e4),e4)
| skC5 ),
file('ALG093+1.p',unknown),
[] ).
cnf(188,axiom,
( ~ equal(op(e1,e0),e1)
| skC6 ),
file('ALG093+1.p',unknown),
[] ).
cnf(192,axiom,
( ~ equal(op(e1,e1),e0)
| skC7 ),
file('ALG093+1.p',unknown),
[] ).
cnf(201,axiom,
( ~ equal(op(e1,e2),e4)
| skC8 ),
file('ALG093+1.p',unknown),
[] ).
cnf(204,axiom,
( ~ equal(op(e1,e3),e2)
| skC9 ),
file('ALG093+1.p',unknown),
[] ).
cnf(210,axiom,
( ~ equal(op(e1,e4),e3)
| skC10 ),
file('ALG093+1.p',unknown),
[] ).
cnf(214,axiom,
( ~ equal(op(e2,e0),e2)
| skC11 ),
file('ALG093+1.p',unknown),
[] ).
cnf(221,axiom,
( ~ equal(op(e2,e1),e4)
| skC12 ),
file('ALG093+1.p',unknown),
[] ).
cnf(225,axiom,
( ~ equal(op(e2,e2),e3)
| skC13 ),
file('ALG093+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ equal(op(e2,e3),e0)
| skC14 ),
file('ALG093+1.p',unknown),
[] ).
cnf(233,axiom,
( ~ equal(op(e2,e4),e1)
| skC15 ),
file('ALG093+1.p',unknown),
[] ).
cnf(240,axiom,
( ~ equal(op(e3,e0),e3)
| skC16 ),
file('ALG093+1.p',unknown),
[] ).
cnf(244,axiom,
( ~ equal(op(e3,e1),e2)
| skC17 ),
file('ALG093+1.p',unknown),
[] ).
cnf(248,axiom,
( ~ equal(op(e3,e2),e1)
| skC18 ),
file('ALG093+1.p',unknown),
[] ).
cnf(256,axiom,
( ~ equal(op(e3,e3),e4)
| skC19 ),
file('ALG093+1.p',unknown),
[] ).
cnf(257,axiom,
( ~ equal(op(e3,e4),e0)
| skC20 ),
file('ALG093+1.p',unknown),
[] ).
cnf(266,axiom,
( ~ equal(op(e4,e0),e4)
| skC21 ),
file('ALG093+1.p',unknown),
[] ).
cnf(270,axiom,
( ~ equal(op(e4,e1),e3)
| skC22 ),
file('ALG093+1.p',unknown),
[] ).
cnf(272,axiom,
( ~ equal(op(e4,e2),e0)
| skC23 ),
file('ALG093+1.p',unknown),
[] ).
cnf(278,axiom,
( ~ equal(op(e4,e3),e1)
| skC24 ),
file('ALG093+1.p',unknown),
[] ).
cnf(284,axiom,
( ~ equal(op(e4,e4),e2)
| skC25 ),
file('ALG093+1.p',unknown),
[] ).
cnf(287,axiom,
( ~ equal(op(e0,e0),e0)
| skC27 ),
file('ALG093+1.p',unknown),
[] ).
cnf(292,axiom,
( ~ equal(op(e0,e0),e0)
| skC28 ),
file('ALG093+1.p',unknown),
[] ).
cnf(298,axiom,
( ~ equal(op(e0,e1),e1)
| skC29 ),
file('ALG093+1.p',unknown),
[] ).
cnf(303,axiom,
( ~ equal(op(e1,e0),e1)
| skC30 ),
file('ALG093+1.p',unknown),
[] ).
cnf(309,axiom,
( ~ equal(op(e0,e2),e2)
| skC31 ),
file('ALG093+1.p',unknown),
[] ).
cnf(314,axiom,
( ~ equal(op(e2,e0),e2)
| skC32 ),
file('ALG093+1.p',unknown),
[] ).
cnf(320,axiom,
( ~ equal(op(e0,e3),e3)
| skC33 ),
file('ALG093+1.p',unknown),
[] ).
cnf(325,axiom,
( ~ equal(op(e3,e0),e3)
| skC34 ),
file('ALG093+1.p',unknown),
[] ).
cnf(331,axiom,
( ~ equal(op(e0,e4),e4)
| skC35 ),
file('ALG093+1.p',unknown),
[] ).
cnf(336,axiom,
( ~ equal(op(e4,e0),e4)
| skC36 ),
file('ALG093+1.p',unknown),
[] ).
cnf(338,axiom,
( ~ equal(op(e1,e1),e0)
| skC37 ),
file('ALG093+1.p',unknown),
[] ).
cnf(343,axiom,
( ~ equal(op(e1,e1),e0)
| skC38 ),
file('ALG093+1.p',unknown),
[] ).
cnf(347,axiom,
( ~ equal(op(e1,e0),e1)
| skC39 ),
file('ALG093+1.p',unknown),
[] ).
cnf(352,axiom,
( ~ equal(op(e0,e1),e1)
| skC40 ),
file('ALG093+1.p',unknown),
[] ).
cnf(360,axiom,
( ~ equal(op(e1,e3),e2)
| skC41 ),
file('ALG093+1.p',unknown),
[] ).
cnf(365,axiom,
( ~ equal(op(e3,e1),e2)
| skC42 ),
file('ALG093+1.p',unknown),
[] ).
cnf(371,axiom,
( ~ equal(op(e1,e4),e3)
| skC43 ),
file('ALG093+1.p',unknown),
[] ).
cnf(376,axiom,
( ~ equal(op(e4,e1),e3)
| skC44 ),
file('ALG093+1.p',unknown),
[] ).
cnf(379,axiom,
( ~ equal(op(e1,e2),e4)
| skC45 ),
file('ALG093+1.p',unknown),
[] ).
cnf(384,axiom,
( ~ equal(op(e2,e1),e4)
| skC46 ),
file('ALG093+1.p',unknown),
[] ).
cnf(390,axiom,
( ~ equal(op(e2,e3),e0)
| skC47 ),
file('ALG093+1.p',unknown),
[] ).
cnf(396,axiom,
( ~ equal(op(e4,e2),e0)
| skC48 ),
file('ALG093+1.p',unknown),
[] ).
cnf(401,axiom,
( ~ equal(op(e2,e4),e1)
| skC49 ),
file('ALG093+1.p',unknown),
[] ).
cnf(405,axiom,
( ~ equal(op(e3,e2),e1)
| skC50 ),
file('ALG093+1.p',unknown),
[] ).
cnf(407,axiom,
( ~ equal(op(e2,e0),e2)
| skC51 ),
file('ALG093+1.p',unknown),
[] ).
cnf(412,axiom,
( ~ equal(op(e0,e2),e2)
| skC52 ),
file('ALG093+1.p',unknown),
[] ).
cnf(419,axiom,
( ~ equal(op(e2,e2),e3)
| skC53 ),
file('ALG093+1.p',unknown),
[] ).
cnf(424,axiom,
( ~ equal(op(e2,e2),e3)
| skC54 ),
file('ALG093+1.p',unknown),
[] ).
cnf(428,axiom,
( ~ equal(op(e2,e1),e4)
| skC55 ),
file('ALG093+1.p',unknown),
[] ).
cnf(433,axiom,
( ~ equal(op(e1,e2),e4)
| skC56 ),
file('ALG093+1.p',unknown),
[] ).
cnf(441,axiom,
( ~ equal(op(e3,e4),e0)
| skC57 ),
file('ALG093+1.p',unknown),
[] ).
cnf(444,axiom,
( ~ equal(op(e2,e3),e0)
| skC58 ),
file('ALG093+1.p',unknown),
[] ).
cnf(449,axiom,
( ~ equal(op(e3,e2),e1)
| skC59 ),
file('ALG093+1.p',unknown),
[] ).
cnf(456,axiom,
( ~ equal(op(e4,e3),e1)
| skC60 ),
file('ALG093+1.p',unknown),
[] ).
cnf(458,axiom,
( ~ equal(op(e3,e1),e2)
| skC61 ),
file('ALG093+1.p',unknown),
[] ).
cnf(463,axiom,
( ~ equal(op(e1,e3),e2)
| skC62 ),
file('ALG093+1.p',unknown),
[] ).
cnf(467,axiom,
( ~ equal(op(e3,e0),e3)
| skC63 ),
file('ALG093+1.p',unknown),
[] ).
cnf(472,axiom,
( ~ equal(op(e0,e3),e3)
| skC64 ),
file('ALG093+1.p',unknown),
[] ).
cnf(480,axiom,
( ~ equal(op(e3,e3),e4)
| skC65 ),
file('ALG093+1.p',unknown),
[] ).
cnf(485,axiom,
( ~ equal(op(e3,e3),e4)
| skC66 ),
file('ALG093+1.p',unknown),
[] ).
cnf(489,axiom,
( ~ equal(op(e4,e2),e0)
| skC67 ),
file('ALG093+1.p',unknown),
[] ).
cnf(495,axiom,
( ~ equal(op(e3,e4),e0)
| skC68 ),
file('ALG093+1.p',unknown),
[] ).
cnf(500,axiom,
( ~ equal(op(e4,e3),e1)
| skC69 ),
file('ALG093+1.p',unknown),
[] ).
cnf(504,axiom,
( ~ equal(op(e2,e4),e1)
| skC70 ),
file('ALG093+1.p',unknown),
[] ).
cnf(511,axiom,
( ~ equal(op(e4,e4),e2)
| skC71 ),
file('ALG093+1.p',unknown),
[] ).
cnf(516,axiom,
( ~ equal(op(e4,e4),e2)
| skC72 ),
file('ALG093+1.p',unknown),
[] ).
cnf(518,axiom,
( ~ equal(op(e4,e1),e3)
| skC73 ),
file('ALG093+1.p',unknown),
[] ).
cnf(523,axiom,
( ~ equal(op(e1,e4),e3)
| skC74 ),
file('ALG093+1.p',unknown),
[] ).
cnf(527,axiom,
( ~ equal(op(e4,e0),e4)
| skC75 ),
file('ALG093+1.p',unknown),
[] ).
cnf(557,axiom,
( ~ equal(op(e0,e1),e1)
| equal(unit,e1)
| skC101 ),
file('ALG093+1.p',unknown),
[] ).
cnf(561,axiom,
( ~ equal(op(e1,e1),e0)
| equal(unit,e1)
| skC105 ),
file('ALG093+1.p',unknown),
[] ).
cnf(570,axiom,
( ~ equal(op(e2,e1),e4)
| equal(unit,e1)
| skC114 ),
file('ALG093+1.p',unknown),
[] ).
cnf(573,axiom,
( ~ equal(op(e3,e1),e2)
| equal(unit,e1)
| skC117 ),
file('ALG093+1.p',unknown),
[] ).
cnf(579,axiom,
( ~ equal(op(e4,e1),e3)
| equal(unit,e1)
| skC123 ),
file('ALG093+1.p',unknown),
[] ).
cnf(655,axiom,
( ~ skC100
| ~ skC101
| ~ skC102
| ~ skC103
| ~ skC104
| ~ skC105
| ~ skC106
| ~ skC107
| ~ skC108
| ~ skC109
| ~ skC110
| ~ skC111
| ~ skC112
| ~ skC113
| ~ skC114
| ~ skC115
| ~ skC116
| ~ skC117
| ~ skC118
| ~ skC119
| ~ skC120
| ~ skC121
| ~ skC122
| ~ skC123
| equal(op(e4,e4),e1)
| skC0 ),
file('ALG093+1.p',unknown),
[] ).
cnf(666,axiom,
( ~ equal(op(e0,e4),e4)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ equal(op(unit,e0),e0)
| ~ equal(op(e0,unit),e0)
| ~ equal(op(unit,e1),e1)
| ~ equal(op(e1,unit),e1)
| ~ equal(op(unit,e2),e2)
| ~ equal(op(e2,unit),e2)
| ~ equal(op(unit,e3),e3)
| ~ equal(op(e3,unit),e3)
| ~ equal(op(unit,e4),e4)
| ~ equal(op(e4,unit),e4)
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48
| ~ skC49
| ~ skC50
| ~ skC51
| ~ skC52
| ~ skC53
| ~ skC54
| ~ skC55
| ~ skC56
| ~ skC57
| ~ skC58
| ~ skC59
| ~ skC60
| ~ skC61
| ~ skC62
| ~ skC63
| ~ skC64
| ~ skC65
| ~ skC66
| ~ skC67
| ~ skC68
| ~ skC69
| ~ skC70
| ~ skC71
| ~ skC72
| ~ skC73
| ~ skC74
| ~ skC75 ),
file('ALG093+1.p',unknown),
[] ).
cnf(671,plain,
( ~ equal(e0,e0)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(672,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[671]),
[iquote('0:Obv:671.0')] ).
cnf(789,plain,
( equal(e1,e0)
| skC122 ),
inference(rew,[status(thm),theory(equality)],[39,88]),
[iquote('0:Rew:39.0,88.0')] ).
cnf(790,plain,
skC122,
inference(mrr,[status(thm)],[789,2]),
[iquote('0:MRR:789.0,2.0')] ).
cnf(791,plain,
( equal(e3,e1)
| skC121 ),
inference(rew,[status(thm),theory(equality)],[38,87]),
[iquote('0:Rew:38.0,87.0')] ).
cnf(792,plain,
skC121,
inference(mrr,[status(thm)],[791,7]),
[iquote('0:MRR:791.0,7.0')] ).
cnf(793,plain,
( equal(e4,e1)
| skC120 ),
inference(rew,[status(thm),theory(equality)],[37,86]),
[iquote('0:Rew:37.0,86.0')] ).
cnf(794,plain,
skC120,
inference(mrr,[status(thm)],[793,8]),
[iquote('0:MRR:793.0,8.0')] ).
cnf(795,plain,
( equal(e1,e0)
| skC119 ),
inference(rew,[status(thm),theory(equality)],[36,85]),
[iquote('0:Rew:36.0,85.0')] ).
cnf(796,plain,
skC119,
inference(mrr,[status(thm)],[795,2]),
[iquote('0:MRR:795.0,2.0')] ).
cnf(797,plain,
( equal(e4,e1)
| skC118 ),
inference(rew,[status(thm),theory(equality)],[35,84]),
[iquote('0:Rew:35.0,84.0')] ).
cnf(798,plain,
skC118,
inference(mrr,[status(thm)],[797,8]),
[iquote('0:MRR:797.0,8.0')] ).
cnf(799,plain,
( equal(e2,e1)
| skC116 ),
inference(rew,[status(thm),theory(equality)],[33,82]),
[iquote('0:Rew:33.0,82.0')] ).
cnf(800,plain,
skC116,
inference(mrr,[status(thm)],[799,6]),
[iquote('0:MRR:799.0,6.0')] ).
cnf(801,plain,
( equal(e3,e1)
| skC115 ),
inference(rew,[status(thm),theory(equality)],[32,81]),
[iquote('0:Rew:32.0,81.0')] ).
cnf(802,plain,
skC115,
inference(mrr,[status(thm)],[801,7]),
[iquote('0:MRR:801.0,7.0')] ).
cnf(803,plain,
( equal(e1,e0)
| skC113 ),
inference(rew,[status(thm),theory(equality)],[30,79]),
[iquote('0:Rew:30.0,79.0')] ).
cnf(804,plain,
skC113,
inference(mrr,[status(thm)],[803,2]),
[iquote('0:MRR:803.0,2.0')] ).
cnf(805,plain,
( equal(e3,e1)
| skC112 ),
inference(rew,[status(thm),theory(equality)],[29,78]),
[iquote('0:Rew:29.0,78.0')] ).
cnf(806,plain,
skC112,
inference(mrr,[status(thm)],[805,7]),
[iquote('0:MRR:805.0,7.0')] ).
cnf(807,plain,
( equal(e4,e1)
| skC111 ),
inference(rew,[status(thm),theory(equality)],[28,77]),
[iquote('0:Rew:28.0,77.0')] ).
cnf(808,plain,
skC111,
inference(mrr,[status(thm)],[807,8]),
[iquote('0:MRR:807.0,8.0')] ).
cnf(809,plain,
( equal(e2,e1)
| skC110 ),
inference(rew,[status(thm),theory(equality)],[27,76]),
[iquote('0:Rew:27.0,76.0')] ).
cnf(810,plain,
skC110,
inference(mrr,[status(thm)],[809,6]),
[iquote('0:MRR:809.0,6.0')] ).
cnf(811,plain,
( equal(e3,e1)
| skC109 ),
inference(rew,[status(thm),theory(equality)],[26,75]),
[iquote('0:Rew:26.0,75.0')] ).
cnf(812,plain,
skC109,
inference(mrr,[status(thm)],[811,7]),
[iquote('0:MRR:811.0,7.0')] ).
cnf(813,plain,
( equal(e2,e1)
| skC108 ),
inference(rew,[status(thm),theory(equality)],[25,74]),
[iquote('0:Rew:25.0,74.0')] ).
cnf(814,plain,
skC108,
inference(mrr,[status(thm)],[813,6]),
[iquote('0:MRR:813.0,6.0')] ).
cnf(815,plain,
( equal(e4,e1)
| skC107 ),
inference(rew,[status(thm),theory(equality)],[24,73]),
[iquote('0:Rew:24.0,73.0')] ).
cnf(816,plain,
skC107,
inference(mrr,[status(thm)],[815,8]),
[iquote('0:MRR:815.0,8.0')] ).
cnf(817,plain,
( equal(e1,e0)
| skC106 ),
inference(rew,[status(thm),theory(equality)],[23,72]),
[iquote('0:Rew:23.0,72.0')] ).
cnf(818,plain,
skC106,
inference(mrr,[status(thm)],[817,2]),
[iquote('0:MRR:817.0,2.0')] ).
cnf(819,plain,
( equal(e4,e1)
| skC104 ),
inference(rew,[status(thm),theory(equality)],[21,70]),
[iquote('0:Rew:21.0,70.0')] ).
cnf(820,plain,
skC104,
inference(mrr,[status(thm)],[819,8]),
[iquote('0:MRR:819.0,8.0')] ).
cnf(821,plain,
( equal(e3,e1)
| skC103 ),
inference(rew,[status(thm),theory(equality)],[20,69]),
[iquote('0:Rew:20.0,69.0')] ).
cnf(822,plain,
skC103,
inference(mrr,[status(thm)],[821,7]),
[iquote('0:MRR:821.0,7.0')] ).
cnf(823,plain,
( equal(e2,e1)
| skC102 ),
inference(rew,[status(thm),theory(equality)],[19,68]),
[iquote('0:Rew:19.0,68.0')] ).
cnf(824,plain,
skC102,
inference(mrr,[status(thm)],[823,6]),
[iquote('0:MRR:823.0,6.0')] ).
cnf(825,plain,
( equal(e1,e0)
| skC100 ),
inference(rew,[status(thm),theory(equality)],[17,66]),
[iquote('0:Rew:17.0,66.0')] ).
cnf(826,plain,
skC100,
inference(mrr,[status(thm)],[825,2]),
[iquote('0:MRR:825.0,2.0')] ).
cnf(869,plain,
( ~ equal(e4,e4)
| skC75 ),
inference(rew,[status(thm),theory(equality)],[37,527]),
[iquote('0:Rew:37.0,527.0')] ).
cnf(870,plain,
skC75,
inference(obv,[status(thm),theory(equality)],[869]),
[iquote('0:Obv:869.0')] ).
cnf(874,plain,
( ~ equal(e3,e3)
| skC74 ),
inference(rew,[status(thm),theory(equality)],[26,523]),
[iquote('0:Rew:26.0,523.0')] ).
cnf(875,plain,
skC74,
inference(obv,[status(thm),theory(equality)],[874]),
[iquote('0:Obv:874.0')] ).
cnf(879,plain,
( ~ equal(e3,e3)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[38,518]),
[iquote('0:Rew:38.0,518.0')] ).
cnf(880,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[879]),
[iquote('0:Obv:879.0')] ).
cnf(881,plain,
( ~ equal(e2,e2)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[41,516]),
[iquote('0:Rew:41.0,516.0')] ).
cnf(882,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[881]),
[iquote('0:Obv:881.0')] ).
cnf(883,plain,
( ~ equal(e2,e2)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[41,511]),
[iquote('0:Rew:41.0,511.0')] ).
cnf(884,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[883]),
[iquote('0:Obv:883.0')] ).
cnf(887,plain,
( ~ equal(e1,e1)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[31,504]),
[iquote('0:Rew:31.0,504.0')] ).
cnf(888,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[887]),
[iquote('0:Obv:887.0')] ).
cnf(890,plain,
( ~ equal(e1,e1)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[40,500]),
[iquote('0:Rew:40.0,500.0')] ).
cnf(891,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[890]),
[iquote('0:Obv:890.0')] ).
cnf(893,plain,
( ~ equal(e0,e0)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[36,495]),
[iquote('0:Rew:36.0,495.0')] ).
cnf(894,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[893]),
[iquote('0:Obv:893.0')] ).
cnf(897,plain,
( ~ equal(e0,e0)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[39,489]),
[iquote('0:Rew:39.0,489.0')] ).
cnf(898,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[897]),
[iquote('0:Obv:897.0')] ).
cnf(900,plain,
( ~ equal(e4,e4)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[35,485]),
[iquote('0:Rew:35.0,485.0')] ).
cnf(901,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[900]),
[iquote('0:Obv:900.0')] ).
cnf(903,plain,
( ~ equal(e4,e4)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[35,480]),
[iquote('0:Rew:35.0,480.0')] ).
cnf(904,plain,
skC65,
inference(obv,[status(thm),theory(equality)],[903]),
[iquote('0:Obv:903.0')] ).
cnf(909,plain,
( ~ equal(e3,e3)
| skC64 ),
inference(rew,[status(thm),theory(equality)],[20,472]),
[iquote('0:Rew:20.0,472.0')] ).
cnf(910,plain,
skC64,
inference(obv,[status(thm),theory(equality)],[909]),
[iquote('0:Obv:909.0')] ).
cnf(915,plain,
( ~ equal(e3,e3)
| skC63 ),
inference(rew,[status(thm),theory(equality)],[32,467]),
[iquote('0:Rew:32.0,467.0')] ).
cnf(916,plain,
skC63,
inference(obv,[status(thm),theory(equality)],[915]),
[iquote('0:Obv:915.0')] ).
cnf(920,plain,
( ~ equal(e2,e2)
| skC62 ),
inference(rew,[status(thm),theory(equality)],[25,463]),
[iquote('0:Rew:25.0,463.0')] ).
cnf(921,plain,
skC62,
inference(obv,[status(thm),theory(equality)],[920]),
[iquote('0:Obv:920.0')] ).
cnf(925,plain,
( ~ equal(e2,e2)
| skC61 ),
inference(rew,[status(thm),theory(equality)],[33,458]),
[iquote('0:Rew:33.0,458.0')] ).
cnf(926,plain,
skC61,
inference(obv,[status(thm),theory(equality)],[925]),
[iquote('0:Obv:925.0')] ).
cnf(927,plain,
( ~ equal(e1,e1)
| skC60 ),
inference(rew,[status(thm),theory(equality)],[40,456]),
[iquote('0:Rew:40.0,456.0')] ).
cnf(928,plain,
skC60,
inference(obv,[status(thm),theory(equality)],[927]),
[iquote('0:Obv:927.0')] ).
cnf(931,plain,
( ~ equal(e1,e1)
| skC59 ),
inference(rew,[status(thm),theory(equality)],[34,449]),
[iquote('0:Rew:34.0,449.0')] ).
cnf(932,plain,
skC59,
inference(obv,[status(thm),theory(equality)],[931]),
[iquote('0:Obv:931.0')] ).
cnf(935,plain,
( ~ equal(e0,e0)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[30,444]),
[iquote('0:Rew:30.0,444.0')] ).
cnf(936,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[935]),
[iquote('0:Obv:935.0')] ).
cnf(937,plain,
( ~ equal(e0,e0)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[36,441]),
[iquote('0:Rew:36.0,441.0')] ).
cnf(938,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[937]),
[iquote('0:Obv:937.0')] ).
cnf(942,plain,
( ~ equal(e4,e4)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[24,433]),
[iquote('0:Rew:24.0,433.0')] ).
cnf(943,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[942]),
[iquote('0:Obv:942.0')] ).
cnf(947,plain,
( ~ equal(e4,e4)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[28,428]),
[iquote('0:Rew:28.0,428.0')] ).
cnf(948,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[947]),
[iquote('0:Obv:947.0')] ).
cnf(951,plain,
( ~ equal(e3,e3)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[29,424]),
[iquote('0:Rew:29.0,424.0')] ).
cnf(952,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[951]),
[iquote('0:Obv:951.0')] ).
cnf(955,plain,
( ~ equal(e3,e3)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[29,419]),
[iquote('0:Rew:29.0,419.0')] ).
cnf(956,plain,
skC53,
inference(obv,[status(thm),theory(equality)],[955]),
[iquote('0:Obv:955.0')] ).
cnf(961,plain,
( ~ equal(e2,e2)
| skC52 ),
inference(rew,[status(thm),theory(equality)],[19,412]),
[iquote('0:Rew:19.0,412.0')] ).
cnf(962,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[961]),
[iquote('0:Obv:961.0')] ).
cnf(967,plain,
( ~ equal(e2,e2)
| skC51 ),
inference(rew,[status(thm),theory(equality)],[27,407]),
[iquote('0:Rew:27.0,407.0')] ).
cnf(968,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[967]),
[iquote('0:Obv:967.0')] ).
cnf(970,plain,
( ~ equal(e1,e1)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[34,405]),
[iquote('0:Rew:34.0,405.0')] ).
cnf(971,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[970]),
[iquote('0:Obv:970.0')] ).
cnf(972,plain,
( ~ equal(e1,e1)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[31,401]),
[iquote('0:Rew:31.0,401.0')] ).
cnf(973,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[972]),
[iquote('0:Obv:972.0')] ).
cnf(974,plain,
( ~ equal(e0,e0)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[39,396]),
[iquote('0:Rew:39.0,396.0')] ).
cnf(975,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[974]),
[iquote('0:Obv:974.0')] ).
cnf(977,plain,
( ~ equal(e0,e0)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[30,390]),
[iquote('0:Rew:30.0,390.0')] ).
cnf(978,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[977]),
[iquote('0:Obv:977.0')] ).
cnf(981,plain,
( ~ equal(e4,e4)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[28,384]),
[iquote('0:Rew:28.0,384.0')] ).
cnf(982,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[981]),
[iquote('0:Obv:981.0')] ).
cnf(985,plain,
( ~ equal(e4,e4)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[24,379]),
[iquote('0:Rew:24.0,379.0')] ).
cnf(986,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[985]),
[iquote('0:Obv:985.0')] ).
cnf(987,plain,
( ~ equal(e3,e3)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[38,376]),
[iquote('0:Rew:38.0,376.0')] ).
cnf(988,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[987]),
[iquote('0:Obv:987.0')] ).
cnf(989,plain,
( ~ equal(e3,e3)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[26,371]),
[iquote('0:Rew:26.0,371.0')] ).
cnf(990,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[989]),
[iquote('0:Obv:989.0')] ).
cnf(992,plain,
( ~ equal(e2,e2)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[33,365]),
[iquote('0:Rew:33.0,365.0')] ).
cnf(993,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[992]),
[iquote('0:Obv:992.0')] ).
cnf(995,plain,
( ~ equal(e2,e2)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[25,360]),
[iquote('0:Rew:25.0,360.0')] ).
cnf(996,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[995]),
[iquote('0:Obv:995.0')] ).
cnf(1001,plain,
( ~ equal(e1,e1)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[18,352]),
[iquote('0:Rew:18.0,352.0')] ).
cnf(1002,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[1001]),
[iquote('0:Obv:1001.0')] ).
cnf(1007,plain,
( ~ equal(e1,e1)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[22,347]),
[iquote('0:Rew:22.0,347.0')] ).
cnf(1008,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[1007]),
[iquote('0:Obv:1007.0')] ).
cnf(1012,plain,
( ~ equal(e0,e0)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[23,343]),
[iquote('0:Rew:23.0,343.0')] ).
cnf(1013,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[1012]),
[iquote('0:Obv:1012.0')] ).
cnf(1017,plain,
( ~ equal(e0,e0)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[23,338]),
[iquote('0:Rew:23.0,338.0')] ).
cnf(1018,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[1017]),
[iquote('0:Obv:1017.0')] ).
cnf(1019,plain,
( ~ equal(e4,e4)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[37,336]),
[iquote('0:Rew:37.0,336.0')] ).
cnf(1020,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[1019]),
[iquote('0:Obv:1019.0')] ).
cnf(1021,plain,
( ~ equal(e4,e4)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[21,331]),
[iquote('0:Rew:21.0,331.0')] ).
cnf(1022,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[1021]),
[iquote('0:Obv:1021.0')] ).
cnf(1024,plain,
( ~ equal(e3,e3)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[32,325]),
[iquote('0:Rew:32.0,325.0')] ).
cnf(1025,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[1024]),
[iquote('0:Obv:1024.0')] ).
cnf(1027,plain,
( ~ equal(e3,e3)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[20,320]),
[iquote('0:Rew:20.0,320.0')] ).
cnf(1028,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[1027]),
[iquote('0:Obv:1027.0')] ).
cnf(1031,plain,
( ~ equal(e2,e2)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[27,314]),
[iquote('0:Rew:27.0,314.0')] ).
cnf(1032,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[1031]),
[iquote('0:Obv:1031.0')] ).
cnf(1035,plain,
( ~ equal(e2,e2)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[19,309]),
[iquote('0:Rew:19.0,309.0')] ).
cnf(1036,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[1035]),
[iquote('0:Obv:1035.0')] ).
cnf(1040,plain,
( ~ equal(e1,e1)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[22,303]),
[iquote('0:Rew:22.0,303.0')] ).
cnf(1041,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[1040]),
[iquote('0:Obv:1040.0')] ).
cnf(1045,plain,
( ~ equal(e1,e1)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[18,298]),
[iquote('0:Rew:18.0,298.0')] ).
cnf(1046,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[1045]),
[iquote('0:Obv:1045.0')] ).
cnf(1051,plain,
( ~ equal(e0,e0)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[17,292]),
[iquote('0:Rew:17.0,292.0')] ).
cnf(1052,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[1051]),
[iquote('0:Obv:1051.0')] ).
cnf(1057,plain,
( ~ equal(e0,e0)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[17,287]),
[iquote('0:Rew:17.0,287.0')] ).
cnf(1058,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[1057]),
[iquote('0:Obv:1057.0')] ).
cnf(1061,plain,
( ~ equal(e2,e2)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[41,284]),
[iquote('0:Rew:41.0,284.0')] ).
cnf(1062,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[1061]),
[iquote('0:Obv:1061.0')] ).
cnf(1066,plain,
( ~ equal(e1,e1)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[40,278]),
[iquote('0:Rew:40.0,278.0')] ).
cnf(1067,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[1066]),
[iquote('0:Obv:1066.0')] ).
cnf(1072,plain,
( ~ equal(e0,e0)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[39,272]),
[iquote('0:Rew:39.0,272.0')] ).
cnf(1073,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[1072]),
[iquote('0:Obv:1072.0')] ).
cnf(1075,plain,
( ~ equal(e3,e3)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[38,270]),
[iquote('0:Rew:38.0,270.0')] ).
cnf(1076,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[1075]),
[iquote('0:Obv:1075.0')] ).
cnf(1077,plain,
( ~ equal(e4,e4)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[37,266]),
[iquote('0:Rew:37.0,266.0')] ).
cnf(1078,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[1077]),
[iquote('0:Obv:1077.0')] ).
cnf(1083,plain,
( ~ equal(e0,e0)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[36,257]),
[iquote('0:Rew:36.0,257.0')] ).
cnf(1084,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[1083]),
[iquote('0:Obv:1083.0')] ).
cnf(1085,plain,
( ~ equal(e4,e4)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[35,256]),
[iquote('0:Rew:35.0,256.0')] ).
cnf(1086,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[1085]),
[iquote('0:Obv:1085.0')] ).
cnf(1090,plain,
( ~ equal(e1,e1)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[34,248]),
[iquote('0:Rew:34.0,248.0')] ).
cnf(1091,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[1090]),
[iquote('0:Obv:1090.0')] ).
cnf(1094,plain,
( ~ equal(e2,e2)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[33,244]),
[iquote('0:Rew:33.0,244.0')] ).
cnf(1095,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[1094]),
[iquote('0:Obv:1094.0')] ).
cnf(1097,plain,
( ~ equal(e3,e3)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[32,240]),
[iquote('0:Rew:32.0,240.0')] ).
cnf(1098,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[1097]),
[iquote('0:Obv:1097.0')] ).
cnf(1102,plain,
( ~ equal(e1,e1)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[31,233]),
[iquote('0:Rew:31.0,233.0')] ).
cnf(1103,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[1102]),
[iquote('0:Obv:1102.0')] ).
cnf(1108,plain,
( ~ equal(e0,e0)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[30,227]),
[iquote('0:Rew:30.0,227.0')] ).
cnf(1109,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[1108]),
[iquote('0:Obv:1108.0')] ).
cnf(1111,plain,
( ~ equal(e3,e3)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[29,225]),
[iquote('0:Rew:29.0,225.0')] ).
cnf(1112,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[1111]),
[iquote('0:Obv:1111.0')] ).
cnf(1113,plain,
( ~ equal(e4,e4)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[28,221]),
[iquote('0:Rew:28.0,221.0')] ).
cnf(1114,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[1113]),
[iquote('0:Obv:1113.0')] ).
cnf(1117,plain,
( ~ equal(e2,e2)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[27,214]),
[iquote('0:Rew:27.0,214.0')] ).
cnf(1118,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[1117]),
[iquote('0:Obv:1117.0')] ).
cnf(1120,plain,
( ~ equal(e3,e3)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[26,210]),
[iquote('0:Rew:26.0,210.0')] ).
cnf(1121,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[1120]),
[iquote('0:Obv:1120.0')] ).
cnf(1124,plain,
( ~ equal(e2,e2)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[25,204]),
[iquote('0:Rew:25.0,204.0')] ).
cnf(1125,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[1124]),
[iquote('0:Obv:1124.0')] ).
cnf(1126,plain,
( ~ equal(e4,e4)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[24,201]),
[iquote('0:Rew:24.0,201.0')] ).
cnf(1127,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[1126]),
[iquote('0:Obv:1126.0')] ).
cnf(1132,plain,
( ~ equal(e0,e0)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[23,192]),
[iquote('0:Rew:23.0,192.0')] ).
cnf(1133,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[1132]),
[iquote('0:Obv:1132.0')] ).
cnf(1137,plain,
( ~ equal(e1,e1)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[22,188]),
[iquote('0:Rew:22.0,188.0')] ).
cnf(1138,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[1137]),
[iquote('0:Obv:1137.0')] ).
cnf(1139,plain,
( ~ equal(e4,e4)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[21,186]),
[iquote('0:Rew:21.0,186.0')] ).
cnf(1140,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[1139]),
[iquote('0:Obv:1139.0')] ).
cnf(1142,plain,
( ~ equal(e3,e3)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[20,180]),
[iquote('0:Rew:20.0,180.0')] ).
cnf(1143,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[1142]),
[iquote('0:Obv:1142.0')] ).
cnf(1146,plain,
( ~ equal(e2,e2)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[19,174]),
[iquote('0:Rew:19.0,174.0')] ).
cnf(1147,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[1146]),
[iquote('0:Obv:1146.0')] ).
cnf(1151,plain,
( ~ equal(e1,e1)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[18,168]),
[iquote('0:Rew:18.0,168.0')] ).
cnf(1152,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[1151]),
[iquote('0:Obv:1151.0')] ).
cnf(1157,plain,
( ~ equal(e0,e0)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[17,162]),
[iquote('0:Rew:17.0,162.0')] ).
cnf(1158,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[1157]),
[iquote('0:Obv:1157.0')] ).
cnf(1185,plain,
( ~ equal(e3,e3)
| equal(e1,e0)
| skC123 ),
inference(rew,[status(thm),theory(equality)],[1,579,38]),
[iquote('0:Rew:1.0,579.1,38.0,579.0')] ).
cnf(1186,plain,
( equal(e1,e0)
| skC123 ),
inference(obv,[status(thm),theory(equality)],[1185]),
[iquote('0:Obv:1185.0')] ).
cnf(1187,plain,
skC123,
inference(mrr,[status(thm)],[1186,2]),
[iquote('0:MRR:1186.0,2.0')] ).
cnf(1188,plain,
( ~ equal(e2,e2)
| equal(e1,e0)
| skC117 ),
inference(rew,[status(thm),theory(equality)],[1,573,33]),
[iquote('0:Rew:1.0,573.1,33.0,573.0')] ).
cnf(1189,plain,
( equal(e1,e0)
| skC117 ),
inference(obv,[status(thm),theory(equality)],[1188]),
[iquote('0:Obv:1188.0')] ).
cnf(1190,plain,
skC117,
inference(mrr,[status(thm)],[1189,2]),
[iquote('0:MRR:1189.0,2.0')] ).
cnf(1191,plain,
( ~ equal(e4,e4)
| equal(e1,e0)
| skC114 ),
inference(rew,[status(thm),theory(equality)],[1,570,28]),
[iquote('0:Rew:1.0,570.1,28.0,570.0')] ).
cnf(1192,plain,
( equal(e1,e0)
| skC114 ),
inference(obv,[status(thm),theory(equality)],[1191]),
[iquote('0:Obv:1191.0')] ).
cnf(1193,plain,
skC114,
inference(mrr,[status(thm)],[1192,2]),
[iquote('0:MRR:1192.0,2.0')] ).
cnf(1194,plain,
( ~ equal(e0,e0)
| equal(e1,e0)
| skC105 ),
inference(rew,[status(thm),theory(equality)],[1,561,23]),
[iquote('0:Rew:1.0,561.1,23.0,561.0')] ).
cnf(1195,plain,
( equal(e1,e0)
| skC105 ),
inference(obv,[status(thm),theory(equality)],[1194]),
[iquote('0:Obv:1194.0')] ).
cnf(1196,plain,
skC105,
inference(mrr,[status(thm)],[1195,2]),
[iquote('0:MRR:1195.0,2.0')] ).
cnf(1197,plain,
( ~ equal(e1,e1)
| equal(e1,e0)
| skC101 ),
inference(rew,[status(thm),theory(equality)],[1,557,18]),
[iquote('0:Rew:1.0,557.1,18.0,557.0')] ).
cnf(1198,plain,
( equal(e1,e0)
| skC101 ),
inference(obv,[status(thm),theory(equality)],[1197]),
[iquote('0:Obv:1197.0')] ).
cnf(1199,plain,
skC101,
inference(mrr,[status(thm)],[1198,2]),
[iquote('0:MRR:1198.0,2.0')] ).
cnf(1204,plain,
( ~ skC100
| ~ skC101
| ~ skC102
| ~ skC103
| ~ skC104
| ~ skC105
| ~ skC106
| ~ skC107
| ~ skC108
| ~ skC109
| ~ skC110
| ~ skC111
| ~ skC112
| ~ skC113
| ~ skC114
| ~ skC115
| ~ skC116
| ~ skC117
| ~ skC118
| ~ skC119
| ~ skC120
| ~ skC121
| ~ skC122
| ~ skC123
| equal(e2,e1)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[41,655]),
[iquote('0:Rew:41.0,655.24')] ).
cnf(1205,plain,
skC0,
inference(mrr,[status(thm)],[1204,826,1199,824,822,820,1196,818,816,814,812,810,808,806,804,1193,802,800,1190,798,796,794,792,790,1187,6]),
[iquote('0:MRR:1204.0,1204.1,1204.2,1204.3,1204.4,1204.5,1204.6,1204.7,1204.8,1204.9,1204.10,1204.11,1204.12,1204.13,1204.14,1204.15,1204.16,1204.17,1204.18,1204.19,1204.20,1204.21,1204.22,1204.23,1204.24,826.0,1199.0,824.0,822.0,820.0,1196.0,818.0,816.0,814.0,812.0,810.0,808.0,806.0,804.0,1193.0,802.0,800.0,1190.0,798.0,796.0,794.0,792.0,790.0,1187.0,6.0')] ).
cnf(1214,plain,
( ~ equal(e4,e4)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ equal(e0,e0)
| ~ equal(e0,e0)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e4,e4)
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48
| ~ skC49
| ~ skC50
| ~ skC51
| ~ skC52
| ~ skC53
| ~ skC54
| ~ skC55
| ~ skC56
| ~ skC57
| ~ skC58
| ~ skC59
| ~ skC60
| ~ skC61
| ~ skC62
| ~ skC63
| ~ skC64
| ~ skC65
| ~ skC66
| ~ skC67
| ~ skC68
| ~ skC69
| ~ skC70
| ~ skC71
| ~ skC72
| ~ skC73
| ~ skC74
| ~ skC75 ),
inference(rew,[status(thm),theory(equality)],[37,666,1,21,32,20,27,19,22,18,17]),
[iquote('0:Rew:37.0,666.36,1.0,666.36,21.0,666.35,1.0,666.35,32.0,666.34,1.0,666.34,20.0,666.33,1.0,666.33,27.0,666.32,1.0,666.32,19.0,666.31,1.0,666.31,22.0,666.30,1.0,666.30,18.0,666.29,1.0,666.29,17.0,666.28,1.0,666.28,17.0,666.27,1.0,666.27,21.0,666.0')] ).
cnf(1215,plain,
( ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48
| ~ skC49
| ~ skC50
| ~ skC51
| ~ skC52
| ~ skC53
| ~ skC54
| ~ skC55
| ~ skC56
| ~ skC57
| ~ skC58
| ~ skC59
| ~ skC60
| ~ skC61
| ~ skC62
| ~ skC63
| ~ skC64
| ~ skC65
| ~ skC66
| ~ skC67
| ~ skC68
| ~ skC69
| ~ skC70
| ~ skC71
| ~ skC72
| ~ skC73
| ~ skC74
| ~ skC75 ),
inference(obv,[status(thm),theory(equality)],[1214]),
[iquote('0:Obv:1214.36')] ).
cnf(1216,plain,
$false,
inference(mrr,[status(thm)],[1215,1205,1158,1152,1147,1143,1140,1138,1133,1127,1125,1121,1118,1114,1112,1109,1103,1098,1095,1091,1086,1084,1078,1076,1073,1067,1062,672,1058,1052,1046,1041,1036,1032,1028,1025,1022,1020,1018,1013,1008,1002,996,993,990,988,986,982,978,975,973,971,968,962,956,952,948,943,938,936,932,928,926,921,916,910,904,901,898,894,891,888,884,882,880,875,870]),
[iquote('0:MRR:1215.0,1215.1,1215.2,1215.3,1215.4,1215.5,1215.6,1215.7,1215.8,1215.9,1215.10,1215.11,1215.12,1215.13,1215.14,1215.15,1215.16,1215.17,1215.18,1215.19,1215.20,1215.21,1215.22,1215.23,1215.24,1215.25,1215.26,1215.27,1215.28,1215.29,1215.30,1215.31,1215.32,1215.33,1215.34,1215.35,1215.36,1215.37,1215.38,1215.39,1215.40,1215.41,1215.42,1215.43,1215.44,1215.45,1215.46,1215.47,1215.48,1215.49,1215.50,1215.51,1215.52,1215.53,1215.54,1215.55,1215.56,1215.57,1215.58,1215.59,1215.60,1215.61,1215.62,1215.63,1215.64,1215.65,1215.66,1215.67,1215.68,1215.69,1215.70,1215.71,1215.72,1215.73,1215.74,1215.75,1205.0,1158.0,1152.0,1147.0,1143.0,1140.0,1138.0,1133.0,1127.0,1125.0,1121.0,1118.0,1114.0,1112.0,1109.0,1103.0,1098.0,1095.0,1091.0,1086.0,1084.0,1078.0,1076.0,1073.0,1067.0,1062.0,672.0,1058.0,1052.0,1046.0,1041.0,1036.0,1032.0,1028.0,1025.0,1022.0,1020.0,1018.0,1013.0,1008.0,1002.0,996.0,993.0,990.0,988.0,986.0,982.0,978.0,975.0,973.0,971.0,968.0,962.0,956.0,952.0,948.0,943.0,938.0,936.0,932.0,928.0,926.0,921.0,916.0,910.0,904.0,901.0,898.0,894.0,891.0,888.0,884.0,882.0,880.0,875.0,870.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : ALG093+1 : TPTP v8.1.0. Released v2.7.0.
% 0.02/0.10 % Command : run_spass %d %s
% 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 : Thu Jun 9 04:16:52 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.46/0.64
% 0.46/0.64 SPASS V 3.9
% 0.46/0.64 SPASS beiseite: Proof found.
% 0.46/0.64 % SZS status Theorem
% 0.46/0.64 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 222 clauses.
% 0.46/0.64 SPASS allocated 86817 KBytes.
% 0.46/0.64 SPASS spent 0:00:00.34 on the problem.
% 0.46/0.64 0:00:00.03 for the input.
% 0.46/0.64 0:00:00.26 for the FLOTTER CNF translation.
% 0.46/0.64 0:00:00.00 for inferences.
% 0.46/0.64 0:00:00.00 for the backtracking.
% 0.46/0.64 0:00:00.04 for the reduction.
% 0.46/0.64
% 0.46/0.64
% 0.46/0.64 Here is a proof with depth 0, length 339 :
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.65 Formulae used in the proof : ax3 ax1 co1 ax2
% 0.46/0.65
%------------------------------------------------------------------------------