TSTP Solution File: ALG092+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG092+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 112
% Syntax : Number of clauses : 297 ( 129 unt; 15 nHn; 297 RR)
% Number of literals : 731 ( 0 equ; 431 neg)
% Maximal clause size : 91 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 82 ( 81 usr; 81 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('ALG092+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(e0,e1),
file('ALG092+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(e0,e2),
file('ALG092+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e0,e3),
file('ALG092+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e0,e4),
file('ALG092+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e4,e2),
file('ALG092+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(e0,unit)
| skC30 ),
file('ALG092+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e0,e0),e0),
file('ALG092+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e0,e1),e1),
file('ALG092+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e0,e2),e2),
file('ALG092+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e0,e3),e3),
file('ALG092+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e0,e4),e4),
file('ALG092+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e1,e0),e1),
file('ALG092+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e1,e1),e4),
file('ALG092+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e1,e2),e3),
file('ALG092+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e1,e3),e0),
file('ALG092+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e1,e4),e2),
file('ALG092+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e2,e0),e2),
file('ALG092+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e2,e1),e0),
file('ALG092+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e2,e2),e4),
file('ALG092+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e2,e3),e1),
file('ALG092+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e2,e4),e3),
file('ALG092+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e3,e0),e3),
file('ALG092+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e3,e1),e2),
file('ALG092+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e3,e2),e0),
file('ALG092+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e3,e3),e4),
file('ALG092+1.p',unknown),
[] ).
cnf(36,axiom,
equal(op(e3,e4),e1),
file('ALG092+1.p',unknown),
[] ).
cnf(37,axiom,
equal(op(e4,e0),e4),
file('ALG092+1.p',unknown),
[] ).
cnf(38,axiom,
equal(op(e4,e1),e3),
file('ALG092+1.p',unknown),
[] ).
cnf(39,axiom,
equal(op(e4,e2),e1),
file('ALG092+1.p',unknown),
[] ).
cnf(40,axiom,
equal(op(e4,e3),e2),
file('ALG092+1.p',unknown),
[] ).
cnf(41,axiom,
equal(op(e4,e4),e0),
file('ALG092+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ equal(op(e0,e0),e0)
| skC5 ),
file('ALG092+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ equal(op(e0,e1),e1)
| skC6 ),
file('ALG092+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ equal(op(e0,e2),e2)
| skC7 ),
file('ALG092+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ equal(op(e0,e3),e3)
| skC8 ),
file('ALG092+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ equal(op(e0,e4),e4)
| skC9 ),
file('ALG092+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ equal(op(e1,e0),e1)
| skC10 ),
file('ALG092+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ equal(op(e1,e1),e4)
| skC11 ),
file('ALG092+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ equal(op(e1,e2),e3)
| skC12 ),
file('ALG092+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ equal(op(e1,e3),e0)
| skC13 ),
file('ALG092+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ equal(op(e1,e4),e2)
| skC14 ),
file('ALG092+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ equal(op(e2,e0),e2)
| skC15 ),
file('ALG092+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ equal(op(e2,e1),e0)
| skC16 ),
file('ALG092+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ equal(op(e2,e2),e4)
| skC17 ),
file('ALG092+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ equal(op(e2,e3),e1)
| skC18 ),
file('ALG092+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ equal(op(e2,e4),e3)
| skC19 ),
file('ALG092+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ equal(op(e3,e0),e3)
| skC20 ),
file('ALG092+1.p',unknown),
[] ).
cnf(124,axiom,
( ~ equal(op(e3,e1),e2)
| skC21 ),
file('ALG092+1.p',unknown),
[] ).
cnf(127,axiom,
( ~ equal(op(e3,e2),e0)
| skC22 ),
file('ALG092+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ equal(op(e3,e3),e4)
| skC23 ),
file('ALG092+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ equal(op(e3,e4),e1)
| skC24 ),
file('ALG092+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ equal(op(e4,e0),e4)
| skC25 ),
file('ALG092+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ equal(op(e4,e1),e3)
| skC26 ),
file('ALG092+1.p',unknown),
[] ).
cnf(153,axiom,
( ~ equal(op(e4,e2),e1)
| skC27 ),
file('ALG092+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ equal(op(e4,e3),e2)
| skC28 ),
file('ALG092+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ equal(op(e4,e4),e0)
| skC29 ),
file('ALG092+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ equal(op(e0,e0),e0)
| skC31 ),
file('ALG092+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ equal(op(e0,e0),e0)
| skC32 ),
file('ALG092+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ equal(op(e0,e1),e1)
| skC33 ),
file('ALG092+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ equal(op(e1,e0),e1)
| skC34 ),
file('ALG092+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ equal(op(e0,e2),e2)
| skC35 ),
file('ALG092+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ equal(op(e2,e0),e2)
| skC36 ),
file('ALG092+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ equal(op(e0,e3),e3)
| skC37 ),
file('ALG092+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ equal(op(e3,e0),e3)
| skC38 ),
file('ALG092+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ equal(op(e0,e4),e4)
| skC39 ),
file('ALG092+1.p',unknown),
[] ).
cnf(216,axiom,
( ~ equal(op(e4,e0),e4)
| skC40 ),
file('ALG092+1.p',unknown),
[] ).
cnf(220,axiom,
( ~ equal(op(e1,e3),e0)
| skC41 ),
file('ALG092+1.p',unknown),
[] ).
cnf(224,axiom,
( ~ equal(op(e2,e1),e0)
| skC42 ),
file('ALG092+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ equal(op(e1,e0),e1)
| skC43 ),
file('ALG092+1.p',unknown),
[] ).
cnf(232,axiom,
( ~ equal(op(e0,e1),e1)
| skC44 ),
file('ALG092+1.p',unknown),
[] ).
cnf(241,axiom,
( ~ equal(op(e1,e4),e2)
| skC45 ),
file('ALG092+1.p',unknown),
[] ).
cnf(245,axiom,
( ~ equal(op(e3,e1),e2)
| skC46 ),
file('ALG092+1.p',unknown),
[] ).
cnf(249,axiom,
( ~ equal(op(e1,e2),e3)
| skC47 ),
file('ALG092+1.p',unknown),
[] ).
cnf(256,axiom,
( ~ equal(op(e4,e1),e3)
| skC48 ),
file('ALG092+1.p',unknown),
[] ).
cnf(258,axiom,
( ~ equal(op(e1,e1),e4)
| skC49 ),
file('ALG092+1.p',unknown),
[] ).
cnf(263,axiom,
( ~ equal(op(e1,e1),e4)
| skC50 ),
file('ALG092+1.p',unknown),
[] ).
cnf(268,axiom,
( ~ equal(op(e2,e1),e0)
| skC51 ),
file('ALG092+1.p',unknown),
[] ).
cnf(275,axiom,
( ~ equal(op(e3,e2),e0)
| skC52 ),
file('ALG092+1.p',unknown),
[] ).
cnf(280,axiom,
( ~ equal(op(e2,e3),e1)
| skC53 ),
file('ALG092+1.p',unknown),
[] ).
cnf(286,axiom,
( ~ equal(op(e4,e2),e1)
| skC54 ),
file('ALG092+1.p',unknown),
[] ).
cnf(287,axiom,
( ~ equal(op(e2,e0),e2)
| skC55 ),
file('ALG092+1.p',unknown),
[] ).
cnf(292,axiom,
( ~ equal(op(e0,e2),e2)
| skC56 ),
file('ALG092+1.p',unknown),
[] ).
cnf(301,axiom,
( ~ equal(op(e2,e4),e3)
| skC57 ),
file('ALG092+1.p',unknown),
[] ).
cnf(303,axiom,
( ~ equal(op(e1,e2),e3)
| skC58 ),
file('ALG092+1.p',unknown),
[] ).
cnf(309,axiom,
( ~ equal(op(e2,e2),e4)
| skC59 ),
file('ALG092+1.p',unknown),
[] ).
cnf(314,axiom,
( ~ equal(op(e2,e2),e4)
| skC60 ),
file('ALG092+1.p',unknown),
[] ).
cnf(319,axiom,
( ~ equal(op(e3,e2),e0)
| skC61 ),
file('ALG092+1.p',unknown),
[] ).
cnf(323,axiom,
( ~ equal(op(e1,e3),e0)
| skC62 ),
file('ALG092+1.p',unknown),
[] ).
cnf(331,axiom,
( ~ equal(op(e3,e4),e1)
| skC63 ),
file('ALG092+1.p',unknown),
[] ).
cnf(334,axiom,
( ~ equal(op(e2,e3),e1)
| skC64 ),
file('ALG092+1.p',unknown),
[] ).
cnf(338,axiom,
( ~ equal(op(e3,e1),e2)
| skC65 ),
file('ALG092+1.p',unknown),
[] ).
cnf(346,axiom,
( ~ equal(op(e4,e3),e2)
| skC66 ),
file('ALG092+1.p',unknown),
[] ).
cnf(347,axiom,
( ~ equal(op(e3,e0),e3)
| skC67 ),
file('ALG092+1.p',unknown),
[] ).
cnf(352,axiom,
( ~ equal(op(e0,e3),e3)
| skC68 ),
file('ALG092+1.p',unknown),
[] ).
cnf(360,axiom,
( ~ equal(op(e3,e3),e4)
| skC69 ),
file('ALG092+1.p',unknown),
[] ).
cnf(365,axiom,
( ~ equal(op(e3,e3),e4)
| skC70 ),
file('ALG092+1.p',unknown),
[] ).
cnf(371,axiom,
( ~ equal(op(e4,e4),e0)
| skC71 ),
file('ALG092+1.p',unknown),
[] ).
cnf(376,axiom,
( ~ equal(op(e4,e4),e0)
| skC72 ),
file('ALG092+1.p',unknown),
[] ).
cnf(379,axiom,
( ~ equal(op(e4,e2),e1)
| skC73 ),
file('ALG092+1.p',unknown),
[] ).
cnf(385,axiom,
( ~ equal(op(e3,e4),e1)
| skC74 ),
file('ALG092+1.p',unknown),
[] ).
cnf(390,axiom,
( ~ equal(op(e4,e3),e2)
| skC75 ),
file('ALG092+1.p',unknown),
[] ).
cnf(393,axiom,
( ~ equal(op(e1,e4),e2)
| skC76 ),
file('ALG092+1.p',unknown),
[] ).
cnf(398,axiom,
( ~ equal(op(e4,e1),e3)
| skC77 ),
file('ALG092+1.p',unknown),
[] ).
cnf(404,axiom,
( ~ equal(op(e2,e4),e3)
| skC78 ),
file('ALG092+1.p',unknown),
[] ).
cnf(407,axiom,
( ~ equal(op(e4,e0),e4)
| skC79 ),
file('ALG092+1.p',unknown),
[] ).
cnf(414,axiom,
( ~ equal(op(e0,op(e3,e0)),e3)
| equal(op(e3,op(e3,e0)),e0)
| skC0 ),
file('ALG092+1.p',unknown),
[] ).
cnf(418,axiom,
( ~ equal(op(e1,op(e3,e1)),e3)
| equal(op(e3,op(e3,e1)),e1)
| skC1 ),
file('ALG092+1.p',unknown),
[] ).
cnf(421,axiom,
( ~ equal(op(e2,op(e1,e2)),e1)
| equal(op(e1,op(e1,e2)),e2)
| skC2 ),
file('ALG092+1.p',unknown),
[] ).
cnf(426,axiom,
( ~ equal(op(e3,op(e2,e3)),e2)
| equal(op(e2,op(e2,e3)),e3)
| skC3 ),
file('ALG092+1.p',unknown),
[] ).
cnf(431,axiom,
( ~ equal(op(e4,op(e3,e4)),e3)
| equal(op(e3,op(e3,e4)),e4)
| skC4 ),
file('ALG092+1.p',unknown),
[] ).
cnf(436,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
| ~ 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)
| ~ 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 ),
file('ALG092+1.p',unknown),
[] ).
cnf(437,plain,
~ equal(unit,e4),
inference(rew,[status(thm),theory(equality)],[1,5]),
[iquote('0:Rew:1.0,5.0')] ).
cnf(438,plain,
~ equal(unit,e3),
inference(rew,[status(thm),theory(equality)],[1,4]),
[iquote('0:Rew:1.0,4.0')] ).
cnf(439,plain,
~ equal(unit,e2),
inference(rew,[status(thm),theory(equality)],[1,3]),
[iquote('0:Rew:1.0,3.0')] ).
cnf(440,plain,
~ equal(unit,e1),
inference(rew,[status(thm),theory(equality)],[1,2]),
[iquote('0:Rew:1.0,2.0')] ).
cnf(441,plain,
equal(op(e4,e4),unit),
inference(rew,[status(thm),theory(equality)],[1,41]),
[iquote('0:Rew:1.0,41.0')] ).
cnf(442,plain,
equal(op(e4,unit),e4),
inference(rew,[status(thm),theory(equality)],[1,37]),
[iquote('0:Rew:1.0,37.0')] ).
cnf(443,plain,
equal(op(e3,e2),unit),
inference(rew,[status(thm),theory(equality)],[1,34]),
[iquote('0:Rew:1.0,34.0')] ).
cnf(444,plain,
equal(op(e3,unit),e3),
inference(rew,[status(thm),theory(equality)],[1,32]),
[iquote('0:Rew:1.0,32.0')] ).
cnf(445,plain,
equal(op(e2,e1),unit),
inference(rew,[status(thm),theory(equality)],[1,28]),
[iquote('0:Rew:1.0,28.0')] ).
cnf(446,plain,
equal(op(e2,unit),e2),
inference(rew,[status(thm),theory(equality)],[1,27]),
[iquote('0:Rew:1.0,27.0')] ).
cnf(447,plain,
equal(op(e1,e3),unit),
inference(rew,[status(thm),theory(equality)],[1,25]),
[iquote('0:Rew:1.0,25.0')] ).
cnf(448,plain,
equal(op(e1,unit),e1),
inference(rew,[status(thm),theory(equality)],[1,22]),
[iquote('0:Rew:1.0,22.0')] ).
cnf(449,plain,
equal(op(unit,e4),e4),
inference(rew,[status(thm),theory(equality)],[1,21]),
[iquote('0:Rew:1.0,21.0')] ).
cnf(450,plain,
equal(op(unit,e3),e3),
inference(rew,[status(thm),theory(equality)],[1,20]),
[iquote('0:Rew:1.0,20.0')] ).
cnf(451,plain,
equal(op(unit,e2),e2),
inference(rew,[status(thm),theory(equality)],[1,19]),
[iquote('0:Rew:1.0,19.0')] ).
cnf(452,plain,
equal(op(unit,e1),e1),
inference(rew,[status(thm),theory(equality)],[1,18]),
[iquote('0:Rew:1.0,18.0')] ).
cnf(453,plain,
equal(op(unit,unit),unit),
inference(rew,[status(thm),theory(equality)],[1,17]),
[iquote('0:Rew:1.0,17.0')] ).
cnf(454,plain,
( ~ equal(unit,unit)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(455,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[454]),
[iquote('0:Obv:454.0')] ).
cnf(460,plain,
( ~ equal(e4,e4)
| skC79 ),
inference(rew,[status(thm),theory(equality)],[442,407,1]),
[iquote('0:Rew:442.0,407.0,1.0,407.0')] ).
cnf(461,plain,
skC79,
inference(obv,[status(thm),theory(equality)],[460]),
[iquote('0:Obv:460.0')] ).
cnf(464,plain,
( ~ equal(e3,e3)
| skC78 ),
inference(rew,[status(thm),theory(equality)],[31,404]),
[iquote('0:Rew:31.0,404.0')] ).
cnf(465,plain,
skC78,
inference(obv,[status(thm),theory(equality)],[464]),
[iquote('0:Obv:464.0')] ).
cnf(469,plain,
( ~ equal(e3,e3)
| skC77 ),
inference(rew,[status(thm),theory(equality)],[38,398]),
[iquote('0:Rew:38.0,398.0')] ).
cnf(470,plain,
skC77,
inference(obv,[status(thm),theory(equality)],[469]),
[iquote('0:Obv:469.0')] ).
cnf(474,plain,
( ~ equal(e2,e2)
| skC76 ),
inference(rew,[status(thm),theory(equality)],[26,393]),
[iquote('0:Rew:26.0,393.0')] ).
cnf(475,plain,
skC76,
inference(obv,[status(thm),theory(equality)],[474]),
[iquote('0:Obv:474.0')] ).
cnf(477,plain,
( ~ equal(e2,e2)
| skC75 ),
inference(rew,[status(thm),theory(equality)],[40,390]),
[iquote('0:Rew:40.0,390.0')] ).
cnf(478,plain,
skC75,
inference(obv,[status(thm),theory(equality)],[477]),
[iquote('0:Obv:477.0')] ).
cnf(480,plain,
( ~ equal(e1,e1)
| skC74 ),
inference(rew,[status(thm),theory(equality)],[36,385]),
[iquote('0:Rew:36.0,385.0')] ).
cnf(481,plain,
skC74,
inference(obv,[status(thm),theory(equality)],[480]),
[iquote('0:Obv:480.0')] ).
cnf(484,plain,
( ~ equal(e1,e1)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[39,379]),
[iquote('0:Rew:39.0,379.0')] ).
cnf(485,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[484]),
[iquote('0:Obv:484.0')] ).
cnf(486,plain,
( ~ equal(unit,unit)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[441,376,1]),
[iquote('0:Rew:441.0,376.0,1.0,376.0')] ).
cnf(487,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[486]),
[iquote('0:Obv:486.0')] ).
cnf(488,plain,
( ~ equal(unit,unit)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[441,371,1]),
[iquote('0:Rew:441.0,371.0,1.0,371.0')] ).
cnf(489,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[488]),
[iquote('0:Obv:488.0')] ).
cnf(491,plain,
( ~ equal(e4,e4)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[35,365]),
[iquote('0:Rew:35.0,365.0')] ).
cnf(492,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[491]),
[iquote('0:Obv:491.0')] ).
cnf(494,plain,
( ~ equal(e4,e4)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[35,360]),
[iquote('0:Rew:35.0,360.0')] ).
cnf(495,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[494]),
[iquote('0:Obv:494.0')] ).
cnf(500,plain,
( ~ equal(e3,e3)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[450,352,1]),
[iquote('0:Rew:450.0,352.0,1.0,352.0')] ).
cnf(501,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[500]),
[iquote('0:Obv:500.0')] ).
cnf(506,plain,
( ~ equal(e3,e3)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[444,347,1]),
[iquote('0:Rew:444.0,347.0,1.0,347.0')] ).
cnf(507,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[506]),
[iquote('0:Obv:506.0')] ).
cnf(508,plain,
( ~ equal(e2,e2)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[40,346]),
[iquote('0:Rew:40.0,346.0')] ).
cnf(509,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[508]),
[iquote('0:Obv:508.0')] ).
cnf(513,plain,
( ~ equal(e2,e2)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[33,338]),
[iquote('0:Rew:33.0,338.0')] ).
cnf(514,plain,
skC65,
inference(obv,[status(thm),theory(equality)],[513]),
[iquote('0:Obv:513.0')] ).
cnf(517,plain,
( ~ equal(e1,e1)
| skC64 ),
inference(rew,[status(thm),theory(equality)],[30,334]),
[iquote('0:Rew:30.0,334.0')] ).
cnf(518,plain,
skC64,
inference(obv,[status(thm),theory(equality)],[517]),
[iquote('0:Obv:517.0')] ).
cnf(519,plain,
( ~ equal(e1,e1)
| skC63 ),
inference(rew,[status(thm),theory(equality)],[36,331]),
[iquote('0:Rew:36.0,331.0')] ).
cnf(520,plain,
skC63,
inference(obv,[status(thm),theory(equality)],[519]),
[iquote('0:Obv:519.0')] ).
cnf(524,plain,
( ~ equal(unit,unit)
| skC62 ),
inference(rew,[status(thm),theory(equality)],[447,323,1]),
[iquote('0:Rew:447.0,323.0,1.0,323.0')] ).
cnf(525,plain,
skC62,
inference(obv,[status(thm),theory(equality)],[524]),
[iquote('0:Obv:524.0')] ).
cnf(528,plain,
( ~ equal(unit,unit)
| skC61 ),
inference(rew,[status(thm),theory(equality)],[443,319,1]),
[iquote('0:Rew:443.0,319.0,1.0,319.0')] ).
cnf(529,plain,
skC61,
inference(obv,[status(thm),theory(equality)],[528]),
[iquote('0:Obv:528.0')] ).
cnf(532,plain,
( ~ equal(e4,e4)
| skC60 ),
inference(rew,[status(thm),theory(equality)],[29,314]),
[iquote('0:Rew:29.0,314.0')] ).
cnf(533,plain,
skC60,
inference(obv,[status(thm),theory(equality)],[532]),
[iquote('0:Obv:532.0')] ).
cnf(536,plain,
( ~ equal(e4,e4)
| skC59 ),
inference(rew,[status(thm),theory(equality)],[29,309]),
[iquote('0:Rew:29.0,309.0')] ).
cnf(537,plain,
skC59,
inference(obv,[status(thm),theory(equality)],[536]),
[iquote('0:Obv:536.0')] ).
cnf(541,plain,
( ~ equal(e3,e3)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[24,303]),
[iquote('0:Rew:24.0,303.0')] ).
cnf(542,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[541]),
[iquote('0:Obv:541.0')] ).
cnf(543,plain,
( ~ equal(e3,e3)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[31,301]),
[iquote('0:Rew:31.0,301.0')] ).
cnf(544,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[543]),
[iquote('0:Obv:543.0')] ).
cnf(549,plain,
( ~ equal(e2,e2)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[451,292,1]),
[iquote('0:Rew:451.0,292.0,1.0,292.0')] ).
cnf(550,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[549]),
[iquote('0:Obv:549.0')] ).
cnf(555,plain,
( ~ equal(e2,e2)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[446,287,1]),
[iquote('0:Rew:446.0,287.0,1.0,287.0')] ).
cnf(556,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[555]),
[iquote('0:Obv:555.0')] ).
cnf(557,plain,
( ~ equal(e1,e1)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[39,286]),
[iquote('0:Rew:39.0,286.0')] ).
cnf(558,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[557]),
[iquote('0:Obv:557.0')] ).
cnf(560,plain,
( ~ equal(e1,e1)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[30,280]),
[iquote('0:Rew:30.0,280.0')] ).
cnf(561,plain,
skC53,
inference(obv,[status(thm),theory(equality)],[560]),
[iquote('0:Obv:560.0')] ).
cnf(563,plain,
( ~ equal(unit,unit)
| skC52 ),
inference(rew,[status(thm),theory(equality)],[443,275,1]),
[iquote('0:Rew:443.0,275.0,1.0,275.0')] ).
cnf(564,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[563]),
[iquote('0:Obv:563.0')] ).
cnf(568,plain,
( ~ equal(unit,unit)
| skC51 ),
inference(rew,[status(thm),theory(equality)],[445,268,1]),
[iquote('0:Rew:445.0,268.0,1.0,268.0')] ).
cnf(569,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[568]),
[iquote('0:Obv:568.0')] ).
cnf(573,plain,
( ~ equal(e4,e4)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[23,263]),
[iquote('0:Rew:23.0,263.0')] ).
cnf(574,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[573]),
[iquote('0:Obv:573.0')] ).
cnf(578,plain,
( ~ equal(e4,e4)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[23,258]),
[iquote('0:Rew:23.0,258.0')] ).
cnf(579,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[578]),
[iquote('0:Obv:578.0')] ).
cnf(580,plain,
( ~ equal(e3,e3)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[38,256]),
[iquote('0:Rew:38.0,256.0')] ).
cnf(581,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[580]),
[iquote('0:Obv:580.0')] ).
cnf(584,plain,
( ~ equal(e3,e3)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[24,249]),
[iquote('0:Rew:24.0,249.0')] ).
cnf(585,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[584]),
[iquote('0:Obv:584.0')] ).
cnf(587,plain,
( ~ equal(e2,e2)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[33,245]),
[iquote('0:Rew:33.0,245.0')] ).
cnf(588,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[587]),
[iquote('0:Obv:587.0')] ).
cnf(589,plain,
( ~ equal(e2,e2)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[26,241]),
[iquote('0:Rew:26.0,241.0')] ).
cnf(590,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[589]),
[iquote('0:Obv:589.0')] ).
cnf(595,plain,
( ~ equal(e1,e1)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[452,232,1]),
[iquote('0:Rew:452.0,232.0,1.0,232.0')] ).
cnf(596,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[595]),
[iquote('0:Obv:595.0')] ).
cnf(601,plain,
( ~ equal(e1,e1)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[448,227,1]),
[iquote('0:Rew:448.0,227.0,1.0,227.0')] ).
cnf(602,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[601]),
[iquote('0:Obv:601.0')] ).
cnf(605,plain,
( ~ equal(unit,unit)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[445,224,1]),
[iquote('0:Rew:445.0,224.0,1.0,224.0')] ).
cnf(606,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[605]),
[iquote('0:Obv:605.0')] ).
cnf(608,plain,
( ~ equal(unit,unit)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[447,220,1]),
[iquote('0:Rew:447.0,220.0,1.0,220.0')] ).
cnf(609,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[608]),
[iquote('0:Obv:608.0')] ).
cnf(610,plain,
( ~ equal(e4,e4)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[442,216,1]),
[iquote('0:Rew:442.0,216.0,1.0,216.0')] ).
cnf(611,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[610]),
[iquote('0:Obv:610.0')] ).
cnf(612,plain,
( ~ equal(e4,e4)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[449,211,1]),
[iquote('0:Rew:449.0,211.0,1.0,211.0')] ).
cnf(613,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[612]),
[iquote('0:Obv:612.0')] ).
cnf(615,plain,
( ~ equal(e3,e3)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[444,205,1]),
[iquote('0:Rew:444.0,205.0,1.0,205.0')] ).
cnf(616,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[615]),
[iquote('0:Obv:615.0')] ).
cnf(618,plain,
( ~ equal(e3,e3)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[450,200,1]),
[iquote('0:Rew:450.0,200.0,1.0,200.0')] ).
cnf(619,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[618]),
[iquote('0:Obv:618.0')] ).
cnf(622,plain,
( ~ equal(e2,e2)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[446,194,1]),
[iquote('0:Rew:446.0,194.0,1.0,194.0')] ).
cnf(623,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[622]),
[iquote('0:Obv:622.0')] ).
cnf(626,plain,
( ~ equal(e2,e2)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[451,189,1]),
[iquote('0:Rew:451.0,189.0,1.0,189.0')] ).
cnf(627,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[626]),
[iquote('0:Obv:626.0')] ).
cnf(631,plain,
( ~ equal(e1,e1)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[448,183,1]),
[iquote('0:Rew:448.0,183.0,1.0,183.0')] ).
cnf(632,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[631]),
[iquote('0:Obv:631.0')] ).
cnf(636,plain,
( ~ equal(e1,e1)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[452,178,1]),
[iquote('0:Rew:452.0,178.0,1.0,178.0')] ).
cnf(637,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[636]),
[iquote('0:Obv:636.0')] ).
cnf(642,plain,
( ~ equal(unit,unit)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[453,172,1]),
[iquote('0:Rew:453.0,172.0,1.0,172.0')] ).
cnf(643,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[642]),
[iquote('0:Obv:642.0')] ).
cnf(648,plain,
( ~ equal(unit,unit)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[453,167,1]),
[iquote('0:Rew:453.0,167.0,1.0,167.0')] ).
cnf(649,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[648]),
[iquote('0:Obv:648.0')] ).
cnf(654,plain,
( ~ equal(unit,unit)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[441,162,1]),
[iquote('0:Rew:441.0,162.0,1.0,162.0')] ).
cnf(655,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[654]),
[iquote('0:Obv:654.0')] ).
cnf(658,plain,
( ~ equal(e2,e2)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[40,159]),
[iquote('0:Rew:40.0,159.0')] ).
cnf(659,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[658]),
[iquote('0:Obv:658.0')] ).
cnf(663,plain,
( ~ equal(e1,e1)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[39,153]),
[iquote('0:Rew:39.0,153.0')] ).
cnf(664,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[663]),
[iquote('0:Obv:663.0')] ).
cnf(666,plain,
( ~ equal(e3,e3)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[38,150]),
[iquote('0:Rew:38.0,150.0')] ).
cnf(667,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[666]),
[iquote('0:Obv:666.0')] ).
cnf(668,plain,
( ~ equal(e4,e4)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[442,146,1]),
[iquote('0:Rew:442.0,146.0,1.0,146.0')] ).
cnf(669,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[668]),
[iquote('0:Obv:668.0')] ).
cnf(673,plain,
( ~ equal(e1,e1)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[36,138]),
[iquote('0:Rew:36.0,138.0')] ).
cnf(674,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[673]),
[iquote('0:Obv:673.0')] ).
cnf(675,plain,
( ~ equal(e4,e4)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[35,136]),
[iquote('0:Rew:35.0,136.0')] ).
cnf(676,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[675]),
[iquote('0:Obv:675.0')] ).
cnf(681,plain,
( ~ equal(unit,unit)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[443,127,1]),
[iquote('0:Rew:443.0,127.0,1.0,127.0')] ).
cnf(682,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[681]),
[iquote('0:Obv:681.0')] ).
cnf(685,plain,
( ~ equal(e2,e2)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[33,124]),
[iquote('0:Rew:33.0,124.0')] ).
cnf(686,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[685]),
[iquote('0:Obv:685.0')] ).
cnf(688,plain,
( ~ equal(e3,e3)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[444,120,1]),
[iquote('0:Rew:444.0,120.0,1.0,120.0')] ).
cnf(689,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[688]),
[iquote('0:Obv:688.0')] ).
cnf(691,plain,
( ~ equal(e3,e3)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[31,115]),
[iquote('0:Rew:31.0,115.0')] ).
cnf(692,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[691]),
[iquote('0:Obv:691.0')] ).
cnf(696,plain,
( ~ equal(e1,e1)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[30,108]),
[iquote('0:Rew:30.0,108.0')] ).
cnf(697,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[696]),
[iquote('0:Obv:696.0')] ).
cnf(698,plain,
( ~ equal(e4,e4)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[29,106]),
[iquote('0:Rew:29.0,106.0')] ).
cnf(699,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[698]),
[iquote('0:Obv:698.0')] ).
cnf(704,plain,
( ~ equal(unit,unit)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[445,97,1]),
[iquote('0:Rew:445.0,97.0,1.0,97.0')] ).
cnf(705,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[704]),
[iquote('0:Obv:704.0')] ).
cnf(708,plain,
( ~ equal(e2,e2)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[446,94,1]),
[iquote('0:Rew:446.0,94.0,1.0,94.0')] ).
cnf(709,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[708]),
[iquote('0:Obv:708.0')] ).
cnf(712,plain,
( ~ equal(e2,e2)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[26,89]),
[iquote('0:Rew:26.0,89.0')] ).
cnf(713,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[712]),
[iquote('0:Obv:712.0')] ).
cnf(718,plain,
( ~ equal(unit,unit)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[447,82,1]),
[iquote('0:Rew:447.0,82.0,1.0,82.0')] ).
cnf(719,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[718]),
[iquote('0:Obv:718.0')] ).
cnf(721,plain,
( ~ equal(e3,e3)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[24,80]),
[iquote('0:Rew:24.0,80.0')] ).
cnf(722,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[721]),
[iquote('0:Obv:721.0')] ).
cnf(723,plain,
( ~ equal(e4,e4)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[23,76]),
[iquote('0:Rew:23.0,76.0')] ).
cnf(724,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[723]),
[iquote('0:Obv:723.0')] ).
cnf(728,plain,
( ~ equal(e1,e1)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[448,68,1]),
[iquote('0:Rew:448.0,68.0,1.0,68.0')] ).
cnf(729,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[728]),
[iquote('0:Obv:728.0')] ).
cnf(730,plain,
( ~ equal(e4,e4)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[449,66,1]),
[iquote('0:Rew:449.0,66.0,1.0,66.0')] ).
cnf(731,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[730]),
[iquote('0:Obv:730.0')] ).
cnf(733,plain,
( ~ equal(e3,e3)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[450,60,1]),
[iquote('0:Rew:450.0,60.0,1.0,60.0')] ).
cnf(734,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[733]),
[iquote('0:Obv:733.0')] ).
cnf(737,plain,
( ~ equal(e2,e2)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[451,54,1]),
[iquote('0:Rew:451.0,54.0,1.0,54.0')] ).
cnf(738,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[737]),
[iquote('0:Obv:737.0')] ).
cnf(742,plain,
( ~ equal(e1,e1)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[452,48,1]),
[iquote('0:Rew:452.0,48.0,1.0,48.0')] ).
cnf(743,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[742]),
[iquote('0:Obv:742.0')] ).
cnf(748,plain,
( ~ equal(unit,unit)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[453,42,1]),
[iquote('0:Rew:453.0,42.0,1.0,42.0')] ).
cnf(749,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[748]),
[iquote('0:Obv:748.0')] ).
cnf(750,plain,
( ~ equal(e3,e3)
| equal(e4,e2)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[33,431,36,38]),
[iquote('0:Rew:33.0,431.1,36.0,431.1,38.0,431.0,36.0,431.0')] ).
cnf(751,plain,
( equal(e4,e2)
| skC4 ),
inference(obv,[status(thm),theory(equality)],[750]),
[iquote('0:Obv:750.0')] ).
cnf(752,plain,
skC4,
inference(mrr,[status(thm)],[751,10]),
[iquote('0:MRR:751.0,10.0')] ).
cnf(754,plain,
( ~ equal(e2,e2)
| equal(unit,e3)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[445,426,30,33]),
[iquote('0:Rew:445.0,426.1,30.0,426.1,33.0,426.0,30.0,426.0')] ).
cnf(755,plain,
( equal(unit,e3)
| skC3 ),
inference(obv,[status(thm),theory(equality)],[754]),
[iquote('0:Obv:754.0')] ).
cnf(756,plain,
skC3,
inference(mrr,[status(thm)],[755,438]),
[iquote('0:MRR:755.0,438.0')] ).
cnf(759,plain,
( ~ equal(e1,e1)
| equal(unit,e2)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[447,421,24,30]),
[iquote('0:Rew:447.0,421.1,24.0,421.1,30.0,421.0,24.0,421.0')] ).
cnf(760,plain,
( equal(unit,e2)
| skC2 ),
inference(obv,[status(thm),theory(equality)],[759]),
[iquote('0:Obv:759.0')] ).
cnf(761,plain,
skC2,
inference(mrr,[status(thm)],[760,439]),
[iquote('0:MRR:760.0,439.0')] ).
cnf(763,plain,
( ~ equal(e3,e3)
| equal(unit,e1)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[443,418,33,24]),
[iquote('0:Rew:443.0,418.1,33.0,418.1,24.0,418.0,33.0,418.0')] ).
cnf(764,plain,
( equal(unit,e1)
| skC1 ),
inference(obv,[status(thm),theory(equality)],[763]),
[iquote('0:Obv:763.0')] ).
cnf(765,plain,
skC1,
inference(mrr,[status(thm)],[764,440]),
[iquote('0:MRR:764.0,440.0')] ).
cnf(767,plain,
( ~ equal(e3,e3)
| equal(unit,e4)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[35,414,444,1,450]),
[iquote('0:Rew:35.0,414.1,444.0,414.1,1.0,414.1,450.0,414.0,444.0,414.0,1.0,414.0')] ).
cnf(768,plain,
( equal(unit,e4)
| skC0 ),
inference(obv,[status(thm),theory(equality)],[767]),
[iquote('0:Obv:767.0')] ).
cnf(769,plain,
skC0,
inference(mrr,[status(thm)],[768,437]),
[iquote('0:MRR:768.0,437.0')] ).
cnf(778,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
| ~ 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)
| ~ 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 ),
inference(rew,[status(thm),theory(equality)],[442,436,449,444,450,446,451,448,452,453,1]),
[iquote('0:Rew:442.0,436.40,449.0,436.39,444.0,436.38,450.0,436.37,446.0,436.36,451.0,436.35,448.0,436.34,452.0,436.33,453.0,436.32,1.0,436.32,453.0,436.31,1.0,436.31,449.0,436.0,1.0,436.0')] ).
cnf(779,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 ),
inference(obv,[status(thm),theory(equality)],[778]),
[iquote('0:Obv:778.40')] ).
cnf(780,plain,
$false,
inference(mrr,[status(thm)],[779,769,765,761,756,752,749,743,738,734,731,729,724,722,719,713,709,705,699,697,692,689,686,682,676,674,669,667,664,659,655,455,649,643,637,632,627,623,619,616,613,611,609,606,602,596,590,588,585,581,579,574,569,564,561,558,556,550,544,542,537,533,529,525,520,518,514,509,507,501,495,492,489,487,485,481,478,475,470,465,461]),
[iquote('0:MRR:779.0,779.1,779.2,779.3,779.4,779.5,779.6,779.7,779.8,779.9,779.10,779.11,779.12,779.13,779.14,779.15,779.16,779.17,779.18,779.19,779.20,779.21,779.22,779.23,779.24,779.25,779.26,779.27,779.28,779.29,779.30,779.31,779.32,779.33,779.34,779.35,779.36,779.37,779.38,779.39,779.40,779.41,779.42,779.43,779.44,779.45,779.46,779.47,779.48,779.49,779.50,779.51,779.52,779.53,779.54,779.55,779.56,779.57,779.58,779.59,779.60,779.61,779.62,779.63,779.64,779.65,779.66,779.67,779.68,779.69,779.70,779.71,779.72,779.73,779.74,779.75,779.76,779.77,779.78,779.79,769.0,765.0,761.0,756.0,752.0,749.0,743.0,738.0,734.0,731.0,729.0,724.0,722.0,719.0,713.0,709.0,705.0,699.0,697.0,692.0,689.0,686.0,682.0,676.0,674.0,669.0,667.0,664.0,659.0,655.0,455.0,649.0,643.0,637.0,632.0,627.0,623.0,619.0,616.0,613.0,611.0,609.0,606.0,602.0,596.0,590.0,588.0,585.0,581.0,579.0,574.0,569.0,564.0,561.0,558.0,556.0,550.0,544.0,542.0,537.0,533.0,529.0,525.0,520.0,518.0,514.0,509.0,507.0,501.0,495.0,492.0,489.0,487.0,485.0,481.0,478.0,475.0,470.0,465.0,461.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG092+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 23:12:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.53
% 0.18/0.53 SPASS V 3.9
% 0.18/0.53 SPASS beiseite: Proof found.
% 0.18/0.53 % SZS status Theorem
% 0.18/0.53 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 117 clauses.
% 0.18/0.53 SPASS allocated 86517 KBytes.
% 0.18/0.53 SPASS spent 0:00:00.19 on the problem.
% 0.18/0.53 0:00:00.04 for the input.
% 0.18/0.53 0:00:00.12 for the FLOTTER CNF translation.
% 0.18/0.53 0:00:00.00 for inferences.
% 0.18/0.53 0:00:00.00 for the backtracking.
% 0.18/0.53 0:00:00.02 for the reduction.
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 Here is a proof with depth 0, length 297 :
% 0.18/0.53 % SZS output start Refutation
% See solution above
% 0.18/0.54 Formulae used in the proof : ax3 ax1 co1 ax2
% 0.18/0.54
%------------------------------------------------------------------------------