TSTP Solution File: ALG091+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG091+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 18:02:18 EDT 2022
% Result : Theorem 0.45s 0.59s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 131
% Syntax : Number of clauses : 351 ( 148 unt; 40 nHn; 351 RR)
% Number of literals : 870 ( 0 equ; 490 neg)
% Maximal clause size : 111 ( 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(e0,unit),
file('ALG091+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e0,e1),
file('ALG091+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e0,e2),
file('ALG091+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e0,e3),
file('ALG091+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e0,e4),
file('ALG091+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(e0,unit)
| skC50 ),
file('ALG091+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e0,e0),e0),
file('ALG091+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e0,e1),e1),
file('ALG091+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e0,e2),e2),
file('ALG091+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e0,e3),e3),
file('ALG091+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e0,e4),e4),
file('ALG091+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e1,e0),e1),
file('ALG091+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e1,e1),e0),
file('ALG091+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e1,e2),e3),
file('ALG091+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e1,e3),e4),
file('ALG091+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e1,e4),e2),
file('ALG091+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e2,e0),e2),
file('ALG091+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e2,e1),e4),
file('ALG091+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e2,e2),e0),
file('ALG091+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e2,e3),e1),
file('ALG091+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e2,e4),e3),
file('ALG091+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e3,e0),e3),
file('ALG091+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e3,e1),e2),
file('ALG091+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e3,e2),e4),
file('ALG091+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e3,e3),e0),
file('ALG091+1.p',unknown),
[] ).
cnf(36,axiom,
equal(op(e3,e4),e1),
file('ALG091+1.p',unknown),
[] ).
cnf(37,axiom,
equal(op(e4,e0),e4),
file('ALG091+1.p',unknown),
[] ).
cnf(38,axiom,
equal(op(e4,e1),e3),
file('ALG091+1.p',unknown),
[] ).
cnf(39,axiom,
equal(op(e4,e2),e1),
file('ALG091+1.p',unknown),
[] ).
cnf(40,axiom,
equal(op(e4,e3),e2),
file('ALG091+1.p',unknown),
[] ).
cnf(41,axiom,
equal(op(e4,e4),e0),
file('ALG091+1.p',unknown),
[] ).
cnf(43,axiom,
( equal(op(e0,e0),e1)
| skC1 ),
file('ALG091+1.p',unknown),
[] ).
cnf(44,axiom,
( equal(op(e0,e0),e2)
| skC2 ),
file('ALG091+1.p',unknown),
[] ).
cnf(45,axiom,
( equal(op(e0,e0),e3)
| skC3 ),
file('ALG091+1.p',unknown),
[] ).
cnf(46,axiom,
( equal(op(e0,e0),e4)
| skC4 ),
file('ALG091+1.p',unknown),
[] ).
cnf(48,axiom,
( equal(op(e1,e1),e1)
| skC6 ),
file('ALG091+1.p',unknown),
[] ).
cnf(49,axiom,
( equal(op(e1,e1),e2)
| skC7 ),
file('ALG091+1.p',unknown),
[] ).
cnf(50,axiom,
( equal(op(e1,e1),e3)
| skC8 ),
file('ALG091+1.p',unknown),
[] ).
cnf(51,axiom,
( equal(op(e1,e1),e4)
| skC9 ),
file('ALG091+1.p',unknown),
[] ).
cnf(53,axiom,
( equal(op(e2,e2),e1)
| skC11 ),
file('ALG091+1.p',unknown),
[] ).
cnf(54,axiom,
( equal(op(e2,e2),e2)
| skC12 ),
file('ALG091+1.p',unknown),
[] ).
cnf(55,axiom,
( equal(op(e2,e2),e3)
| skC13 ),
file('ALG091+1.p',unknown),
[] ).
cnf(56,axiom,
( equal(op(e2,e2),e4)
| skC14 ),
file('ALG091+1.p',unknown),
[] ).
cnf(58,axiom,
( equal(op(e3,e3),e1)
| skC16 ),
file('ALG091+1.p',unknown),
[] ).
cnf(59,axiom,
( equal(op(e3,e3),e2)
| skC17 ),
file('ALG091+1.p',unknown),
[] ).
cnf(60,axiom,
( equal(op(e3,e3),e3)
| skC18 ),
file('ALG091+1.p',unknown),
[] ).
cnf(61,axiom,
( equal(op(e3,e3),e4)
| skC19 ),
file('ALG091+1.p',unknown),
[] ).
cnf(63,axiom,
( equal(op(e4,e4),e1)
| skC21 ),
file('ALG091+1.p',unknown),
[] ).
cnf(64,axiom,
( equal(op(e4,e4),e2)
| skC22 ),
file('ALG091+1.p',unknown),
[] ).
cnf(65,axiom,
( equal(op(e4,e4),e3)
| skC23 ),
file('ALG091+1.p',unknown),
[] ).
cnf(66,axiom,
( equal(op(e4,e4),e4)
| skC24 ),
file('ALG091+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ equal(op(e0,e0),e0)
| skC0 ),
file('ALG091+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ equal(op(e1,e0),e1)
| skC5 ),
file('ALG091+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ equal(op(e2,e0),e2)
| skC10 ),
file('ALG091+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ equal(op(e3,e0),e3)
| skC15 ),
file('ALG091+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ equal(op(e4,e0),e4)
| skC20 ),
file('ALG091+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ equal(op(e0,e0),e0)
| skC25 ),
file('ALG091+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ equal(op(e0,e1),e1)
| skC26 ),
file('ALG091+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ equal(op(e0,e2),e2)
| skC27 ),
file('ALG091+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ equal(op(e0,e3),e3)
| skC28 ),
file('ALG091+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ equal(op(e0,e4),e4)
| skC29 ),
file('ALG091+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ equal(op(e1,e0),e1)
| skC30 ),
file('ALG091+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ equal(op(e1,e1),e0)
| skC31 ),
file('ALG091+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ equal(op(e1,e2),e3)
| skC32 ),
file('ALG091+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ equal(op(e1,e3),e4)
| skC33 ),
file('ALG091+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ equal(op(e1,e4),e2)
| skC34 ),
file('ALG091+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ equal(op(e2,e0),e2)
| skC35 ),
file('ALG091+1.p',unknown),
[] ).
cnf(151,axiom,
( ~ equal(op(e2,e1),e4)
| skC36 ),
file('ALG091+1.p',unknown),
[] ).
cnf(152,axiom,
( ~ equal(op(e2,e2),e0)
| skC37 ),
file('ALG091+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ equal(op(e2,e3),e1)
| skC38 ),
file('ALG091+1.p',unknown),
[] ).
cnf(165,axiom,
( ~ equal(op(e2,e4),e3)
| skC39 ),
file('ALG091+1.p',unknown),
[] ).
cnf(170,axiom,
( ~ equal(op(e3,e0),e3)
| skC40 ),
file('ALG091+1.p',unknown),
[] ).
cnf(174,axiom,
( ~ equal(op(e3,e1),e2)
| skC41 ),
file('ALG091+1.p',unknown),
[] ).
cnf(181,axiom,
( ~ equal(op(e3,e2),e4)
| skC42 ),
file('ALG091+1.p',unknown),
[] ).
cnf(182,axiom,
( ~ equal(op(e3,e3),e0)
| skC43 ),
file('ALG091+1.p',unknown),
[] ).
cnf(188,axiom,
( ~ equal(op(e3,e4),e1)
| skC44 ),
file('ALG091+1.p',unknown),
[] ).
cnf(196,axiom,
( ~ equal(op(e4,e0),e4)
| skC45 ),
file('ALG091+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ equal(op(e4,e1),e3)
| skC46 ),
file('ALG091+1.p',unknown),
[] ).
cnf(203,axiom,
( ~ equal(op(e4,e2),e1)
| skC47 ),
file('ALG091+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ equal(op(e4,e3),e2)
| skC48 ),
file('ALG091+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ equal(op(e4,e4),e0)
| skC49 ),
file('ALG091+1.p',unknown),
[] ).
cnf(217,axiom,
( ~ equal(op(e0,e0),e0)
| skC51 ),
file('ALG091+1.p',unknown),
[] ).
cnf(222,axiom,
( ~ equal(op(e0,e0),e0)
| skC52 ),
file('ALG091+1.p',unknown),
[] ).
cnf(228,axiom,
( ~ equal(op(e0,e1),e1)
| skC53 ),
file('ALG091+1.p',unknown),
[] ).
cnf(233,axiom,
( ~ equal(op(e1,e0),e1)
| skC54 ),
file('ALG091+1.p',unknown),
[] ).
cnf(239,axiom,
( ~ equal(op(e0,e2),e2)
| skC55 ),
file('ALG091+1.p',unknown),
[] ).
cnf(244,axiom,
( ~ equal(op(e2,e0),e2)
| skC56 ),
file('ALG091+1.p',unknown),
[] ).
cnf(250,axiom,
( ~ equal(op(e0,e3),e3)
| skC57 ),
file('ALG091+1.p',unknown),
[] ).
cnf(255,axiom,
( ~ equal(op(e3,e0),e3)
| skC58 ),
file('ALG091+1.p',unknown),
[] ).
cnf(261,axiom,
( ~ equal(op(e0,e4),e4)
| skC59 ),
file('ALG091+1.p',unknown),
[] ).
cnf(266,axiom,
( ~ equal(op(e4,e0),e4)
| skC60 ),
file('ALG091+1.p',unknown),
[] ).
cnf(268,axiom,
( ~ equal(op(e1,e1),e0)
| skC61 ),
file('ALG091+1.p',unknown),
[] ).
cnf(273,axiom,
( ~ equal(op(e1,e1),e0)
| skC62 ),
file('ALG091+1.p',unknown),
[] ).
cnf(277,axiom,
( ~ equal(op(e1,e0),e1)
| skC63 ),
file('ALG091+1.p',unknown),
[] ).
cnf(282,axiom,
( ~ equal(op(e0,e1),e1)
| skC64 ),
file('ALG091+1.p',unknown),
[] ).
cnf(291,axiom,
( ~ equal(op(e1,e4),e2)
| skC65 ),
file('ALG091+1.p',unknown),
[] ).
cnf(295,axiom,
( ~ equal(op(e3,e1),e2)
| skC66 ),
file('ALG091+1.p',unknown),
[] ).
cnf(299,axiom,
( ~ equal(op(e1,e2),e3)
| skC67 ),
file('ALG091+1.p',unknown),
[] ).
cnf(306,axiom,
( ~ equal(op(e4,e1),e3)
| skC68 ),
file('ALG091+1.p',unknown),
[] ).
cnf(310,axiom,
( ~ equal(op(e1,e3),e4)
| skC69 ),
file('ALG091+1.p',unknown),
[] ).
cnf(314,axiom,
( ~ equal(op(e2,e1),e4)
| skC70 ),
file('ALG091+1.p',unknown),
[] ).
cnf(319,axiom,
( ~ equal(op(e2,e2),e0)
| skC71 ),
file('ALG091+1.p',unknown),
[] ).
cnf(324,axiom,
( ~ equal(op(e2,e2),e0)
| skC72 ),
file('ALG091+1.p',unknown),
[] ).
cnf(330,axiom,
( ~ equal(op(e2,e3),e1)
| skC73 ),
file('ALG091+1.p',unknown),
[] ).
cnf(336,axiom,
( ~ equal(op(e4,e2),e1)
| skC74 ),
file('ALG091+1.p',unknown),
[] ).
cnf(337,axiom,
( ~ equal(op(e2,e0),e2)
| skC75 ),
file('ALG091+1.p',unknown),
[] ).
cnf(342,axiom,
( ~ equal(op(e0,e2),e2)
| skC76 ),
file('ALG091+1.p',unknown),
[] ).
cnf(351,axiom,
( ~ equal(op(e2,e4),e3)
| skC77 ),
file('ALG091+1.p',unknown),
[] ).
cnf(353,axiom,
( ~ equal(op(e1,e2),e3)
| skC78 ),
file('ALG091+1.p',unknown),
[] ).
cnf(358,axiom,
( ~ equal(op(e2,e1),e4)
| skC79 ),
file('ALG091+1.p',unknown),
[] ).
cnf(365,axiom,
( ~ equal(op(e3,e2),e4)
| skC80 ),
file('ALG091+1.p',unknown),
[] ).
cnf(370,axiom,
( ~ equal(op(e3,e3),e0)
| skC81 ),
file('ALG091+1.p',unknown),
[] ).
cnf(375,axiom,
( ~ equal(op(e3,e3),e0)
| skC82 ),
file('ALG091+1.p',unknown),
[] ).
cnf(381,axiom,
( ~ equal(op(e3,e4),e1)
| skC83 ),
file('ALG091+1.p',unknown),
[] ).
cnf(384,axiom,
( ~ equal(op(e2,e3),e1)
| skC84 ),
file('ALG091+1.p',unknown),
[] ).
cnf(388,axiom,
( ~ equal(op(e3,e1),e2)
| skC85 ),
file('ALG091+1.p',unknown),
[] ).
cnf(396,axiom,
( ~ equal(op(e4,e3),e2)
| skC86 ),
file('ALG091+1.p',unknown),
[] ).
cnf(397,axiom,
( ~ equal(op(e3,e0),e3)
| skC87 ),
file('ALG091+1.p',unknown),
[] ).
cnf(402,axiom,
( ~ equal(op(e0,e3),e3)
| skC88 ),
file('ALG091+1.p',unknown),
[] ).
cnf(409,axiom,
( ~ equal(op(e3,e2),e4)
| skC89 ),
file('ALG091+1.p',unknown),
[] ).
cnf(413,axiom,
( ~ equal(op(e1,e3),e4)
| skC90 ),
file('ALG091+1.p',unknown),
[] ).
cnf(421,axiom,
( ~ equal(op(e4,e4),e0)
| skC91 ),
file('ALG091+1.p',unknown),
[] ).
cnf(426,axiom,
( ~ equal(op(e4,e4),e0)
| skC92 ),
file('ALG091+1.p',unknown),
[] ).
cnf(429,axiom,
( ~ equal(op(e4,e2),e1)
| skC93 ),
file('ALG091+1.p',unknown),
[] ).
cnf(435,axiom,
( ~ equal(op(e3,e4),e1)
| skC94 ),
file('ALG091+1.p',unknown),
[] ).
cnf(440,axiom,
( ~ equal(op(e4,e3),e2)
| skC95 ),
file('ALG091+1.p',unknown),
[] ).
cnf(443,axiom,
( ~ equal(op(e1,e4),e2)
| skC96 ),
file('ALG091+1.p',unknown),
[] ).
cnf(448,axiom,
( ~ equal(op(e4,e1),e3)
| skC97 ),
file('ALG091+1.p',unknown),
[] ).
cnf(454,axiom,
( ~ equal(op(e2,e4),e3)
| skC98 ),
file('ALG091+1.p',unknown),
[] ).
cnf(457,axiom,
( ~ equal(op(e4,e0),e4)
| skC99 ),
file('ALG091+1.p',unknown),
[] ).
cnf(466,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
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48
| ~ skC49
| ~ 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)
| ~ 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
| ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79
| ~ skC80
| ~ skC81
| ~ skC82
| ~ skC83
| ~ skC84
| ~ skC85
| ~ skC86
| ~ skC87
| ~ skC88
| ~ skC89
| ~ skC90
| ~ skC91
| ~ skC92
| ~ skC93
| ~ skC94
| ~ skC95
| ~ skC96
| ~ skC97
| ~ skC98
| ~ skC99 ),
file('ALG091+1.p',unknown),
[] ).
cnf(467,plain,
~ equal(unit,e4),
inference(rew,[status(thm),theory(equality)],[1,5]),
[iquote('0:Rew:1.0,5.0')] ).
cnf(468,plain,
~ equal(unit,e3),
inference(rew,[status(thm),theory(equality)],[1,4]),
[iquote('0:Rew:1.0,4.0')] ).
cnf(469,plain,
~ equal(unit,e2),
inference(rew,[status(thm),theory(equality)],[1,3]),
[iquote('0:Rew:1.0,3.0')] ).
cnf(470,plain,
~ equal(unit,e1),
inference(rew,[status(thm),theory(equality)],[1,2]),
[iquote('0:Rew:1.0,2.0')] ).
cnf(471,plain,
equal(op(e4,e4),unit),
inference(rew,[status(thm),theory(equality)],[1,41]),
[iquote('0:Rew:1.0,41.0')] ).
cnf(472,plain,
equal(op(e4,unit),e4),
inference(rew,[status(thm),theory(equality)],[1,37]),
[iquote('0:Rew:1.0,37.0')] ).
cnf(473,plain,
equal(op(e3,e3),unit),
inference(rew,[status(thm),theory(equality)],[1,35]),
[iquote('0:Rew:1.0,35.0')] ).
cnf(474,plain,
equal(op(e3,unit),e3),
inference(rew,[status(thm),theory(equality)],[1,32]),
[iquote('0:Rew:1.0,32.0')] ).
cnf(475,plain,
equal(op(e2,e2),unit),
inference(rew,[status(thm),theory(equality)],[1,29]),
[iquote('0:Rew:1.0,29.0')] ).
cnf(476,plain,
equal(op(e2,unit),e2),
inference(rew,[status(thm),theory(equality)],[1,27]),
[iquote('0:Rew:1.0,27.0')] ).
cnf(477,plain,
equal(op(e1,e1),unit),
inference(rew,[status(thm),theory(equality)],[1,23]),
[iquote('0:Rew:1.0,23.0')] ).
cnf(478,plain,
equal(op(e1,unit),e1),
inference(rew,[status(thm),theory(equality)],[1,22]),
[iquote('0:Rew:1.0,22.0')] ).
cnf(479,plain,
equal(op(unit,e4),e4),
inference(rew,[status(thm),theory(equality)],[1,21]),
[iquote('0:Rew:1.0,21.0')] ).
cnf(480,plain,
equal(op(unit,e3),e3),
inference(rew,[status(thm),theory(equality)],[1,20]),
[iquote('0:Rew:1.0,20.0')] ).
cnf(481,plain,
equal(op(unit,e2),e2),
inference(rew,[status(thm),theory(equality)],[1,19]),
[iquote('0:Rew:1.0,19.0')] ).
cnf(482,plain,
equal(op(unit,e1),e1),
inference(rew,[status(thm),theory(equality)],[1,18]),
[iquote('0:Rew:1.0,18.0')] ).
cnf(483,plain,
equal(op(unit,unit),unit),
inference(rew,[status(thm),theory(equality)],[1,17]),
[iquote('0:Rew:1.0,17.0')] ).
cnf(484,plain,
( ~ equal(unit,unit)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(485,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[484]),
[iquote('0:Obv:484.0')] ).
cnf(486,plain,
( equal(unit,e4)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[471,66]),
[iquote('0:Rew:471.0,66.0')] ).
cnf(487,plain,
skC24,
inference(mrr,[status(thm)],[486,467]),
[iquote('0:MRR:486.0,467.0')] ).
cnf(488,plain,
( equal(unit,e3)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[471,65]),
[iquote('0:Rew:471.0,65.0')] ).
cnf(489,plain,
skC23,
inference(mrr,[status(thm)],[488,468]),
[iquote('0:MRR:488.0,468.0')] ).
cnf(490,plain,
( equal(unit,e2)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[471,64]),
[iquote('0:Rew:471.0,64.0')] ).
cnf(491,plain,
skC22,
inference(mrr,[status(thm)],[490,469]),
[iquote('0:MRR:490.0,469.0')] ).
cnf(492,plain,
( equal(unit,e1)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[471,63]),
[iquote('0:Rew:471.0,63.0')] ).
cnf(493,plain,
skC21,
inference(mrr,[status(thm)],[492,470]),
[iquote('0:MRR:492.0,470.0')] ).
cnf(495,plain,
( equal(unit,e4)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[473,61]),
[iquote('0:Rew:473.0,61.0')] ).
cnf(496,plain,
skC19,
inference(mrr,[status(thm)],[495,467]),
[iquote('0:MRR:495.0,467.0')] ).
cnf(497,plain,
( equal(unit,e3)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[473,60]),
[iquote('0:Rew:473.0,60.0')] ).
cnf(498,plain,
skC18,
inference(mrr,[status(thm)],[497,468]),
[iquote('0:MRR:497.0,468.0')] ).
cnf(499,plain,
( equal(unit,e2)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[473,59]),
[iquote('0:Rew:473.0,59.0')] ).
cnf(500,plain,
skC17,
inference(mrr,[status(thm)],[499,469]),
[iquote('0:MRR:499.0,469.0')] ).
cnf(501,plain,
( equal(unit,e1)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[473,58]),
[iquote('0:Rew:473.0,58.0')] ).
cnf(502,plain,
skC16,
inference(mrr,[status(thm)],[501,470]),
[iquote('0:MRR:501.0,470.0')] ).
cnf(504,plain,
( equal(unit,e4)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[475,56]),
[iquote('0:Rew:475.0,56.0')] ).
cnf(505,plain,
skC14,
inference(mrr,[status(thm)],[504,467]),
[iquote('0:MRR:504.0,467.0')] ).
cnf(506,plain,
( equal(unit,e3)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[475,55]),
[iquote('0:Rew:475.0,55.0')] ).
cnf(507,plain,
skC13,
inference(mrr,[status(thm)],[506,468]),
[iquote('0:MRR:506.0,468.0')] ).
cnf(508,plain,
( equal(unit,e2)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[475,54]),
[iquote('0:Rew:475.0,54.0')] ).
cnf(509,plain,
skC12,
inference(mrr,[status(thm)],[508,469]),
[iquote('0:MRR:508.0,469.0')] ).
cnf(510,plain,
( equal(unit,e1)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[475,53]),
[iquote('0:Rew:475.0,53.0')] ).
cnf(511,plain,
skC11,
inference(mrr,[status(thm)],[510,470]),
[iquote('0:MRR:510.0,470.0')] ).
cnf(513,plain,
( equal(unit,e4)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[477,51]),
[iquote('0:Rew:477.0,51.0')] ).
cnf(514,plain,
skC9,
inference(mrr,[status(thm)],[513,467]),
[iquote('0:MRR:513.0,467.0')] ).
cnf(515,plain,
( equal(unit,e3)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[477,50]),
[iquote('0:Rew:477.0,50.0')] ).
cnf(516,plain,
skC8,
inference(mrr,[status(thm)],[515,468]),
[iquote('0:MRR:515.0,468.0')] ).
cnf(517,plain,
( equal(unit,e2)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[477,49]),
[iquote('0:Rew:477.0,49.0')] ).
cnf(518,plain,
skC7,
inference(mrr,[status(thm)],[517,469]),
[iquote('0:MRR:517.0,469.0')] ).
cnf(519,plain,
( equal(unit,e1)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[477,48]),
[iquote('0:Rew:477.0,48.0')] ).
cnf(520,plain,
skC6,
inference(mrr,[status(thm)],[519,470]),
[iquote('0:MRR:519.0,470.0')] ).
cnf(522,plain,
( equal(unit,e4)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[483,46,1]),
[iquote('0:Rew:483.0,46.0,1.0,46.0')] ).
cnf(523,plain,
skC4,
inference(mrr,[status(thm)],[522,467]),
[iquote('0:MRR:522.0,467.0')] ).
cnf(524,plain,
( equal(unit,e3)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[483,45,1]),
[iquote('0:Rew:483.0,45.0,1.0,45.0')] ).
cnf(525,plain,
skC3,
inference(mrr,[status(thm)],[524,468]),
[iquote('0:MRR:524.0,468.0')] ).
cnf(526,plain,
( equal(unit,e2)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[483,44,1]),
[iquote('0:Rew:483.0,44.0,1.0,44.0')] ).
cnf(527,plain,
skC2,
inference(mrr,[status(thm)],[526,469]),
[iquote('0:MRR:526.0,469.0')] ).
cnf(528,plain,
( equal(unit,e1)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[483,43,1]),
[iquote('0:Rew:483.0,43.0,1.0,43.0')] ).
cnf(529,plain,
skC1,
inference(mrr,[status(thm)],[528,470]),
[iquote('0:MRR:528.0,470.0')] ).
cnf(535,plain,
( ~ equal(e4,e4)
| skC99 ),
inference(rew,[status(thm),theory(equality)],[472,457,1]),
[iquote('0:Rew:472.0,457.0,1.0,457.0')] ).
cnf(536,plain,
skC99,
inference(obv,[status(thm),theory(equality)],[535]),
[iquote('0:Obv:535.0')] ).
cnf(539,plain,
( ~ equal(e3,e3)
| skC98 ),
inference(rew,[status(thm),theory(equality)],[31,454]),
[iquote('0:Rew:31.0,454.0')] ).
cnf(540,plain,
skC98,
inference(obv,[status(thm),theory(equality)],[539]),
[iquote('0:Obv:539.0')] ).
cnf(544,plain,
( ~ equal(e3,e3)
| skC97 ),
inference(rew,[status(thm),theory(equality)],[38,448]),
[iquote('0:Rew:38.0,448.0')] ).
cnf(545,plain,
skC97,
inference(obv,[status(thm),theory(equality)],[544]),
[iquote('0:Obv:544.0')] ).
cnf(549,plain,
( ~ equal(e2,e2)
| skC96 ),
inference(rew,[status(thm),theory(equality)],[26,443]),
[iquote('0:Rew:26.0,443.0')] ).
cnf(550,plain,
skC96,
inference(obv,[status(thm),theory(equality)],[549]),
[iquote('0:Obv:549.0')] ).
cnf(552,plain,
( ~ equal(e2,e2)
| skC95 ),
inference(rew,[status(thm),theory(equality)],[40,440]),
[iquote('0:Rew:40.0,440.0')] ).
cnf(553,plain,
skC95,
inference(obv,[status(thm),theory(equality)],[552]),
[iquote('0:Obv:552.0')] ).
cnf(555,plain,
( ~ equal(e1,e1)
| skC94 ),
inference(rew,[status(thm),theory(equality)],[36,435]),
[iquote('0:Rew:36.0,435.0')] ).
cnf(556,plain,
skC94,
inference(obv,[status(thm),theory(equality)],[555]),
[iquote('0:Obv:555.0')] ).
cnf(559,plain,
( ~ equal(e1,e1)
| skC93 ),
inference(rew,[status(thm),theory(equality)],[39,429]),
[iquote('0:Rew:39.0,429.0')] ).
cnf(560,plain,
skC93,
inference(obv,[status(thm),theory(equality)],[559]),
[iquote('0:Obv:559.0')] ).
cnf(561,plain,
( ~ equal(unit,unit)
| skC92 ),
inference(rew,[status(thm),theory(equality)],[471,426,1]),
[iquote('0:Rew:471.0,426.0,1.0,426.0')] ).
cnf(562,plain,
skC92,
inference(obv,[status(thm),theory(equality)],[561]),
[iquote('0:Obv:561.0')] ).
cnf(563,plain,
( ~ equal(unit,unit)
| skC91 ),
inference(rew,[status(thm),theory(equality)],[471,421,1]),
[iquote('0:Rew:471.0,421.0,1.0,421.0')] ).
cnf(564,plain,
skC91,
inference(obv,[status(thm),theory(equality)],[563]),
[iquote('0:Obv:563.0')] ).
cnf(568,plain,
( ~ equal(e4,e4)
| skC90 ),
inference(rew,[status(thm),theory(equality)],[25,413]),
[iquote('0:Rew:25.0,413.0')] ).
cnf(569,plain,
skC90,
inference(obv,[status(thm),theory(equality)],[568]),
[iquote('0:Obv:568.0')] ).
cnf(572,plain,
( ~ equal(e4,e4)
| skC89 ),
inference(rew,[status(thm),theory(equality)],[34,409]),
[iquote('0:Rew:34.0,409.0')] ).
cnf(573,plain,
skC89,
inference(obv,[status(thm),theory(equality)],[572]),
[iquote('0:Obv:572.0')] ).
cnf(578,plain,
( ~ equal(e3,e3)
| skC88 ),
inference(rew,[status(thm),theory(equality)],[480,402,1]),
[iquote('0:Rew:480.0,402.0,1.0,402.0')] ).
cnf(579,plain,
skC88,
inference(obv,[status(thm),theory(equality)],[578]),
[iquote('0:Obv:578.0')] ).
cnf(584,plain,
( ~ equal(e3,e3)
| skC87 ),
inference(rew,[status(thm),theory(equality)],[474,397,1]),
[iquote('0:Rew:474.0,397.0,1.0,397.0')] ).
cnf(585,plain,
skC87,
inference(obv,[status(thm),theory(equality)],[584]),
[iquote('0:Obv:584.0')] ).
cnf(586,plain,
( ~ equal(e2,e2)
| skC86 ),
inference(rew,[status(thm),theory(equality)],[40,396]),
[iquote('0:Rew:40.0,396.0')] ).
cnf(587,plain,
skC86,
inference(obv,[status(thm),theory(equality)],[586]),
[iquote('0:Obv:586.0')] ).
cnf(591,plain,
( ~ equal(e2,e2)
| skC85 ),
inference(rew,[status(thm),theory(equality)],[33,388]),
[iquote('0:Rew:33.0,388.0')] ).
cnf(592,plain,
skC85,
inference(obv,[status(thm),theory(equality)],[591]),
[iquote('0:Obv:591.0')] ).
cnf(595,plain,
( ~ equal(e1,e1)
| skC84 ),
inference(rew,[status(thm),theory(equality)],[30,384]),
[iquote('0:Rew:30.0,384.0')] ).
cnf(596,plain,
skC84,
inference(obv,[status(thm),theory(equality)],[595]),
[iquote('0:Obv:595.0')] ).
cnf(597,plain,
( ~ equal(e1,e1)
| skC83 ),
inference(rew,[status(thm),theory(equality)],[36,381]),
[iquote('0:Rew:36.0,381.0')] ).
cnf(598,plain,
skC83,
inference(obv,[status(thm),theory(equality)],[597]),
[iquote('0:Obv:597.0')] ).
cnf(600,plain,
( ~ equal(unit,unit)
| skC82 ),
inference(rew,[status(thm),theory(equality)],[473,375,1]),
[iquote('0:Rew:473.0,375.0,1.0,375.0')] ).
cnf(601,plain,
skC82,
inference(obv,[status(thm),theory(equality)],[600]),
[iquote('0:Obv:600.0')] ).
cnf(603,plain,
( ~ equal(unit,unit)
| skC81 ),
inference(rew,[status(thm),theory(equality)],[473,370,1]),
[iquote('0:Rew:473.0,370.0,1.0,370.0')] ).
cnf(604,plain,
skC81,
inference(obv,[status(thm),theory(equality)],[603]),
[iquote('0:Obv:603.0')] ).
cnf(606,plain,
( ~ equal(e4,e4)
| skC80 ),
inference(rew,[status(thm),theory(equality)],[34,365]),
[iquote('0:Rew:34.0,365.0')] ).
cnf(607,plain,
skC80,
inference(obv,[status(thm),theory(equality)],[606]),
[iquote('0:Obv:606.0')] ).
cnf(611,plain,
( ~ equal(e4,e4)
| skC79 ),
inference(rew,[status(thm),theory(equality)],[28,358]),
[iquote('0:Rew:28.0,358.0')] ).
cnf(612,plain,
skC79,
inference(obv,[status(thm),theory(equality)],[611]),
[iquote('0:Obv:611.0')] ).
cnf(616,plain,
( ~ equal(e3,e3)
| skC78 ),
inference(rew,[status(thm),theory(equality)],[24,353]),
[iquote('0:Rew:24.0,353.0')] ).
cnf(617,plain,
skC78,
inference(obv,[status(thm),theory(equality)],[616]),
[iquote('0:Obv:616.0')] ).
cnf(618,plain,
( ~ equal(e3,e3)
| skC77 ),
inference(rew,[status(thm),theory(equality)],[31,351]),
[iquote('0:Rew:31.0,351.0')] ).
cnf(619,plain,
skC77,
inference(obv,[status(thm),theory(equality)],[618]),
[iquote('0:Obv:618.0')] ).
cnf(624,plain,
( ~ equal(e2,e2)
| skC76 ),
inference(rew,[status(thm),theory(equality)],[481,342,1]),
[iquote('0:Rew:481.0,342.0,1.0,342.0')] ).
cnf(625,plain,
skC76,
inference(obv,[status(thm),theory(equality)],[624]),
[iquote('0:Obv:624.0')] ).
cnf(630,plain,
( ~ equal(e2,e2)
| skC75 ),
inference(rew,[status(thm),theory(equality)],[476,337,1]),
[iquote('0:Rew:476.0,337.0,1.0,337.0')] ).
cnf(631,plain,
skC75,
inference(obv,[status(thm),theory(equality)],[630]),
[iquote('0:Obv:630.0')] ).
cnf(632,plain,
( ~ equal(e1,e1)
| skC74 ),
inference(rew,[status(thm),theory(equality)],[39,336]),
[iquote('0:Rew:39.0,336.0')] ).
cnf(633,plain,
skC74,
inference(obv,[status(thm),theory(equality)],[632]),
[iquote('0:Obv:632.0')] ).
cnf(635,plain,
( ~ equal(e1,e1)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[30,330]),
[iquote('0:Rew:30.0,330.0')] ).
cnf(636,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[635]),
[iquote('0:Obv:635.0')] ).
cnf(639,plain,
( ~ equal(unit,unit)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[475,324,1]),
[iquote('0:Rew:475.0,324.0,1.0,324.0')] ).
cnf(640,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[639]),
[iquote('0:Obv:639.0')] ).
cnf(643,plain,
( ~ equal(unit,unit)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[475,319,1]),
[iquote('0:Rew:475.0,319.0,1.0,319.0')] ).
cnf(644,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[643]),
[iquote('0:Obv:643.0')] ).
cnf(647,plain,
( ~ equal(e4,e4)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[28,314]),
[iquote('0:Rew:28.0,314.0')] ).
cnf(648,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[647]),
[iquote('0:Obv:647.0')] ).
cnf(650,plain,
( ~ equal(e4,e4)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[25,310]),
[iquote('0:Rew:25.0,310.0')] ).
cnf(651,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[650]),
[iquote('0:Obv:650.0')] ).
cnf(652,plain,
( ~ equal(e3,e3)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[38,306]),
[iquote('0:Rew:38.0,306.0')] ).
cnf(653,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[652]),
[iquote('0:Obv:652.0')] ).
cnf(656,plain,
( ~ equal(e3,e3)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[24,299]),
[iquote('0:Rew:24.0,299.0')] ).
cnf(657,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[656]),
[iquote('0:Obv:656.0')] ).
cnf(659,plain,
( ~ equal(e2,e2)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[33,295]),
[iquote('0:Rew:33.0,295.0')] ).
cnf(660,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[659]),
[iquote('0:Obv:659.0')] ).
cnf(661,plain,
( ~ equal(e2,e2)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[26,291]),
[iquote('0:Rew:26.0,291.0')] ).
cnf(662,plain,
skC65,
inference(obv,[status(thm),theory(equality)],[661]),
[iquote('0:Obv:661.0')] ).
cnf(667,plain,
( ~ equal(e1,e1)
| skC64 ),
inference(rew,[status(thm),theory(equality)],[482,282,1]),
[iquote('0:Rew:482.0,282.0,1.0,282.0')] ).
cnf(668,plain,
skC64,
inference(obv,[status(thm),theory(equality)],[667]),
[iquote('0:Obv:667.0')] ).
cnf(673,plain,
( ~ equal(e1,e1)
| skC63 ),
inference(rew,[status(thm),theory(equality)],[478,277,1]),
[iquote('0:Rew:478.0,277.0,1.0,277.0')] ).
cnf(674,plain,
skC63,
inference(obv,[status(thm),theory(equality)],[673]),
[iquote('0:Obv:673.0')] ).
cnf(678,plain,
( ~ equal(unit,unit)
| skC62 ),
inference(rew,[status(thm),theory(equality)],[477,273,1]),
[iquote('0:Rew:477.0,273.0,1.0,273.0')] ).
cnf(679,plain,
skC62,
inference(obv,[status(thm),theory(equality)],[678]),
[iquote('0:Obv:678.0')] ).
cnf(683,plain,
( ~ equal(unit,unit)
| skC61 ),
inference(rew,[status(thm),theory(equality)],[477,268,1]),
[iquote('0:Rew:477.0,268.0,1.0,268.0')] ).
cnf(684,plain,
skC61,
inference(obv,[status(thm),theory(equality)],[683]),
[iquote('0:Obv:683.0')] ).
cnf(685,plain,
( ~ equal(e4,e4)
| skC60 ),
inference(rew,[status(thm),theory(equality)],[472,266,1]),
[iquote('0:Rew:472.0,266.0,1.0,266.0')] ).
cnf(686,plain,
skC60,
inference(obv,[status(thm),theory(equality)],[685]),
[iquote('0:Obv:685.0')] ).
cnf(687,plain,
( ~ equal(e4,e4)
| skC59 ),
inference(rew,[status(thm),theory(equality)],[479,261,1]),
[iquote('0:Rew:479.0,261.0,1.0,261.0')] ).
cnf(688,plain,
skC59,
inference(obv,[status(thm),theory(equality)],[687]),
[iquote('0:Obv:687.0')] ).
cnf(690,plain,
( ~ equal(e3,e3)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[474,255,1]),
[iquote('0:Rew:474.0,255.0,1.0,255.0')] ).
cnf(691,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[690]),
[iquote('0:Obv:690.0')] ).
cnf(693,plain,
( ~ equal(e3,e3)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[480,250,1]),
[iquote('0:Rew:480.0,250.0,1.0,250.0')] ).
cnf(694,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[693]),
[iquote('0:Obv:693.0')] ).
cnf(697,plain,
( ~ equal(e2,e2)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[476,244,1]),
[iquote('0:Rew:476.0,244.0,1.0,244.0')] ).
cnf(698,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[697]),
[iquote('0:Obv:697.0')] ).
cnf(701,plain,
( ~ equal(e2,e2)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[481,239,1]),
[iquote('0:Rew:481.0,239.0,1.0,239.0')] ).
cnf(702,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[701]),
[iquote('0:Obv:701.0')] ).
cnf(706,plain,
( ~ equal(e1,e1)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[478,233,1]),
[iquote('0:Rew:478.0,233.0,1.0,233.0')] ).
cnf(707,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[706]),
[iquote('0:Obv:706.0')] ).
cnf(711,plain,
( ~ equal(e1,e1)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[482,228,1]),
[iquote('0:Rew:482.0,228.0,1.0,228.0')] ).
cnf(712,plain,
skC53,
inference(obv,[status(thm),theory(equality)],[711]),
[iquote('0:Obv:711.0')] ).
cnf(717,plain,
( ~ equal(unit,unit)
| skC52 ),
inference(rew,[status(thm),theory(equality)],[483,222,1]),
[iquote('0:Rew:483.0,222.0,1.0,222.0')] ).
cnf(718,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[717]),
[iquote('0:Obv:717.0')] ).
cnf(723,plain,
( ~ equal(unit,unit)
| skC51 ),
inference(rew,[status(thm),theory(equality)],[483,217,1]),
[iquote('0:Rew:483.0,217.0,1.0,217.0')] ).
cnf(724,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[723]),
[iquote('0:Obv:723.0')] ).
cnf(729,plain,
( ~ equal(unit,unit)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[471,212,1]),
[iquote('0:Rew:471.0,212.0,1.0,212.0')] ).
cnf(730,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[729]),
[iquote('0:Obv:729.0')] ).
cnf(733,plain,
( ~ equal(e2,e2)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[40,209]),
[iquote('0:Rew:40.0,209.0')] ).
cnf(734,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[733]),
[iquote('0:Obv:733.0')] ).
cnf(738,plain,
( ~ equal(e1,e1)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[39,203]),
[iquote('0:Rew:39.0,203.0')] ).
cnf(739,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[738]),
[iquote('0:Obv:738.0')] ).
cnf(741,plain,
( ~ equal(e3,e3)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[38,200]),
[iquote('0:Rew:38.0,200.0')] ).
cnf(742,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[741]),
[iquote('0:Obv:741.0')] ).
cnf(743,plain,
( ~ equal(e4,e4)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[472,196,1]),
[iquote('0:Rew:472.0,196.0,1.0,196.0')] ).
cnf(744,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[743]),
[iquote('0:Obv:743.0')] ).
cnf(748,plain,
( ~ equal(e1,e1)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[36,188]),
[iquote('0:Rew:36.0,188.0')] ).
cnf(749,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[748]),
[iquote('0:Obv:748.0')] ).
cnf(754,plain,
( ~ equal(unit,unit)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[473,182,1]),
[iquote('0:Rew:473.0,182.0,1.0,182.0')] ).
cnf(755,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[754]),
[iquote('0:Obv:754.0')] ).
cnf(756,plain,
( ~ equal(e4,e4)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[34,181]),
[iquote('0:Rew:34.0,181.0')] ).
cnf(757,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[756]),
[iquote('0:Obv:756.0')] ).
cnf(760,plain,
( ~ equal(e2,e2)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[33,174]),
[iquote('0:Rew:33.0,174.0')] ).
cnf(761,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[760]),
[iquote('0:Obv:760.0')] ).
cnf(763,plain,
( ~ equal(e3,e3)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[474,170,1]),
[iquote('0:Rew:474.0,170.0,1.0,170.0')] ).
cnf(764,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[763]),
[iquote('0:Obv:763.0')] ).
cnf(766,plain,
( ~ equal(e3,e3)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[31,165]),
[iquote('0:Rew:31.0,165.0')] ).
cnf(767,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[766]),
[iquote('0:Obv:766.0')] ).
cnf(771,plain,
( ~ equal(e1,e1)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[30,158]),
[iquote('0:Rew:30.0,158.0')] ).
cnf(772,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[771]),
[iquote('0:Obv:771.0')] ).
cnf(777,plain,
( ~ equal(unit,unit)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[475,152,1]),
[iquote('0:Rew:475.0,152.0,1.0,152.0')] ).
cnf(778,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[777]),
[iquote('0:Obv:777.0')] ).
cnf(779,plain,
( ~ equal(e4,e4)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[28,151]),
[iquote('0:Rew:28.0,151.0')] ).
cnf(780,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[779]),
[iquote('0:Obv:779.0')] ).
cnf(783,plain,
( ~ equal(e2,e2)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[476,144,1]),
[iquote('0:Rew:476.0,144.0,1.0,144.0')] ).
cnf(784,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[783]),
[iquote('0:Obv:783.0')] ).
cnf(787,plain,
( ~ equal(e2,e2)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[26,139]),
[iquote('0:Rew:26.0,139.0')] ).
cnf(788,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[787]),
[iquote('0:Obv:787.0')] ).
cnf(789,plain,
( ~ equal(e4,e4)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[25,136]),
[iquote('0:Rew:25.0,136.0')] ).
cnf(790,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[789]),
[iquote('0:Obv:789.0')] ).
cnf(792,plain,
( ~ equal(e3,e3)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[24,130]),
[iquote('0:Rew:24.0,130.0')] ).
cnf(793,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[792]),
[iquote('0:Obv:792.0')] ).
cnf(798,plain,
( ~ equal(unit,unit)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[477,122,1]),
[iquote('0:Rew:477.0,122.0,1.0,122.0')] ).
cnf(799,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[798]),
[iquote('0:Obv:798.0')] ).
cnf(803,plain,
( ~ equal(e1,e1)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[478,118,1]),
[iquote('0:Rew:478.0,118.0,1.0,118.0')] ).
cnf(804,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[803]),
[iquote('0:Obv:803.0')] ).
cnf(805,plain,
( ~ equal(e4,e4)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[479,116,1]),
[iquote('0:Rew:479.0,116.0,1.0,116.0')] ).
cnf(806,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[805]),
[iquote('0:Obv:805.0')] ).
cnf(808,plain,
( ~ equal(e3,e3)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[480,110,1]),
[iquote('0:Rew:480.0,110.0,1.0,110.0')] ).
cnf(809,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[808]),
[iquote('0:Obv:808.0')] ).
cnf(812,plain,
( ~ equal(e2,e2)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[481,104,1]),
[iquote('0:Rew:481.0,104.0,1.0,104.0')] ).
cnf(813,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[812]),
[iquote('0:Obv:812.0')] ).
cnf(817,plain,
( ~ equal(e1,e1)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[482,98,1]),
[iquote('0:Rew:482.0,98.0,1.0,98.0')] ).
cnf(818,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[817]),
[iquote('0:Obv:817.0')] ).
cnf(823,plain,
( ~ equal(unit,unit)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[483,92,1]),
[iquote('0:Rew:483.0,92.0,1.0,92.0')] ).
cnf(824,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[823]),
[iquote('0:Obv:823.0')] ).
cnf(825,plain,
( ~ equal(e4,e4)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[472,87,1]),
[iquote('0:Rew:472.0,87.0,1.0,87.0')] ).
cnf(826,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[825]),
[iquote('0:Obv:825.0')] ).
cnf(827,plain,
( ~ equal(e3,e3)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[474,82,1]),
[iquote('0:Rew:474.0,82.0,1.0,82.0')] ).
cnf(828,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[827]),
[iquote('0:Obv:827.0')] ).
cnf(829,plain,
( ~ equal(e2,e2)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[476,77,1]),
[iquote('0:Rew:476.0,77.0,1.0,77.0')] ).
cnf(830,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[829]),
[iquote('0:Obv:829.0')] ).
cnf(831,plain,
( ~ equal(e1,e1)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[478,72,1]),
[iquote('0:Rew:478.0,72.0,1.0,72.0')] ).
cnf(832,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[831]),
[iquote('0:Obv:831.0')] ).
cnf(833,plain,
( ~ equal(unit,unit)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[483,67,1]),
[iquote('0:Rew:483.0,67.0,1.0,67.0')] ).
cnf(834,plain,
skC0,
inference(obv,[status(thm),theory(equality)],[833]),
[iquote('0:Obv:833.0')] ).
cnf(843,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
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48
| ~ skC49
| ~ equal(unit,unit)
| ~ equal(unit,unit)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e4,e4)
| ~ 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
| ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79
| ~ skC80
| ~ skC81
| ~ skC82
| ~ skC83
| ~ skC84
| ~ skC85
| ~ skC86
| ~ skC87
| ~ skC88
| ~ skC89
| ~ skC90
| ~ skC91
| ~ skC92
| ~ skC93
| ~ skC94
| ~ skC95
| ~ skC96
| ~ skC97
| ~ skC98
| ~ skC99 ),
inference(rew,[status(thm),theory(equality)],[472,466,479,474,480,476,481,478,482,483,1]),
[iquote('0:Rew:472.0,466.60,479.0,466.59,474.0,466.58,480.0,466.57,476.0,466.56,481.0,466.55,478.0,466.54,482.0,466.53,483.0,466.52,1.0,466.52,483.0,466.51,1.0,466.51,479.0,466.0,1.0,466.0')] ).
cnf(844,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
| ~ skC76
| ~ skC77
| ~ skC78
| ~ skC79
| ~ skC80
| ~ skC81
| ~ skC82
| ~ skC83
| ~ skC84
| ~ skC85
| ~ skC86
| ~ skC87
| ~ skC88
| ~ skC89
| ~ skC90
| ~ skC91
| ~ skC92
| ~ skC93
| ~ skC94
| ~ skC95
| ~ skC96
| ~ skC97
| ~ skC98
| ~ skC99 ),
inference(obv,[status(thm),theory(equality)],[843]),
[iquote('0:Obv:843.60')] ).
cnf(845,plain,
$false,
inference(mrr,[status(thm)],[844,834,529,527,525,523,832,520,518,516,514,830,511,509,507,505,828,502,500,498,496,826,493,491,489,487,824,818,813,809,806,804,799,793,790,788,784,780,778,772,767,764,761,757,755,749,744,742,739,734,730,485,724,718,712,707,702,698,694,691,688,686,684,679,674,668,662,660,657,653,651,648,644,640,636,633,631,625,619,617,612,607,604,601,598,596,592,587,585,579,573,569,564,562,560,556,553,550,545,540,536]),
[iquote('0:MRR:844.0,844.1,844.2,844.3,844.4,844.5,844.6,844.7,844.8,844.9,844.10,844.11,844.12,844.13,844.14,844.15,844.16,844.17,844.18,844.19,844.20,844.21,844.22,844.23,844.24,844.25,844.26,844.27,844.28,844.29,844.30,844.31,844.32,844.33,844.34,844.35,844.36,844.37,844.38,844.39,844.40,844.41,844.42,844.43,844.44,844.45,844.46,844.47,844.48,844.49,844.50,844.51,844.52,844.53,844.54,844.55,844.56,844.57,844.58,844.59,844.60,844.61,844.62,844.63,844.64,844.65,844.66,844.67,844.68,844.69,844.70,844.71,844.72,844.73,844.74,844.75,844.76,844.77,844.78,844.79,844.80,844.81,844.82,844.83,844.84,844.85,844.86,844.87,844.88,844.89,844.90,844.91,844.92,844.93,844.94,844.95,844.96,844.97,844.98,844.99,834.0,529.0,527.0,525.0,523.0,832.0,520.0,518.0,516.0,514.0,830.0,511.0,509.0,507.0,505.0,828.0,502.0,500.0,498.0,496.0,826.0,493.0,491.0,489.0,487.0,824.0,818.0,813.0,809.0,806.0,804.0,799.0,793.0,790.0,788.0,784.0,780.0,778.0,772.0,767.0,764.0,761.0,757.0,755.0,749.0,744.0,742.0,739.0,734.0,730.0,485.0,724.0,718.0,712.0,707.0,702.0,698.0,694.0,691.0,688.0,686.0,684.0,679.0,674.0,668.0,662.0,660.0,657.0,653.0,651.0,648.0,644.0,640.0,636.0,633.0,631.0,625.0,619.0,617.0,612.0,607.0,604.0,601.0,598.0,596.0,592.0,587.0,585.0,579.0,573.0,569.0,564.0,562.0,560.0,556.0,553.0,550.0,545.0,540.0,536.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG091+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 8 14:22:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.45/0.59
% 0.45/0.59 SPASS V 3.9
% 0.45/0.59 SPASS beiseite: Proof found.
% 0.45/0.59 % SZS status Theorem
% 0.45/0.59 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.59 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 137 clauses.
% 0.45/0.59 SPASS allocated 86571 KBytes.
% 0.45/0.59 SPASS spent 0:00:00.23 on the problem.
% 0.45/0.59 0:00:00.04 for the input.
% 0.45/0.59 0:00:00.15 for the FLOTTER CNF translation.
% 0.45/0.59 0:00:00.00 for inferences.
% 0.45/0.59 0:00:00.00 for the backtracking.
% 0.45/0.59 0:00:00.02 for the reduction.
% 0.45/0.59
% 0.45/0.59
% 0.45/0.59 Here is a proof with depth 0, length 351 :
% 0.45/0.59 % SZS output start Refutation
% See solution above
% 0.45/0.60 Formulae used in the proof : ax3 ax1 co1 ax2
% 0.45/0.60
%------------------------------------------------------------------------------