TSTP Solution File: ALG095+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG095+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 0.41s 0.56s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 105
% Syntax : Number of clauses : 275 ( 119 unt; 3 nHn; 275 RR)
% Number of literals : 680 ( 0 equ; 405 neg)
% Maximal clause size : 87 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 78 ( 77 usr; 77 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('ALG095+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(e0,e4),
file('ALG095+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e2,e1),
file('ALG095+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(e0,unit)
| skC26 ),
file('ALG095+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e0,e0),e0),
file('ALG095+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e0,e1),e1),
file('ALG095+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e0,e2),e2),
file('ALG095+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e0,e3),e3),
file('ALG095+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e0,e4),e4),
file('ALG095+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e1,e0),e1),
file('ALG095+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e1,e1),e2),
file('ALG095+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e1,e2),e4),
file('ALG095+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e1,e3),e0),
file('ALG095+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e1,e4),e3),
file('ALG095+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e2,e0),e2),
file('ALG095+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e2,e1),e0),
file('ALG095+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e2,e2),e3),
file('ALG095+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e2,e3),e4),
file('ALG095+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e2,e4),e1),
file('ALG095+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e3,e0),e3),
file('ALG095+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e3,e1),e4),
file('ALG095+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e3,e2),e0),
file('ALG095+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e3,e3),e1),
file('ALG095+1.p',unknown),
[] ).
cnf(36,axiom,
equal(op(e3,e4),e2),
file('ALG095+1.p',unknown),
[] ).
cnf(37,axiom,
equal(op(e4,e0),e4),
file('ALG095+1.p',unknown),
[] ).
cnf(38,axiom,
equal(op(e4,e1),e3),
file('ALG095+1.p',unknown),
[] ).
cnf(39,axiom,
equal(op(e4,e2),e1),
file('ALG095+1.p',unknown),
[] ).
cnf(40,axiom,
equal(op(e4,e3),e2),
file('ALG095+1.p',unknown),
[] ).
cnf(41,axiom,
equal(op(e4,e4),e0),
file('ALG095+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ equal(op(e0,e0),e0)
| skC1 ),
file('ALG095+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ equal(op(e0,e1),e1)
| skC2 ),
file('ALG095+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ equal(op(e0,e2),e2)
| skC3 ),
file('ALG095+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ equal(op(e0,e3),e3)
| skC4 ),
file('ALG095+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ equal(op(e0,e4),e4)
| skC5 ),
file('ALG095+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ equal(op(e1,e0),e1)
| skC6 ),
file('ALG095+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ equal(op(e1,e1),e2)
| skC7 ),
file('ALG095+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ equal(op(e1,e2),e4)
| skC8 ),
file('ALG095+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ equal(op(e1,e3),e0)
| skC9 ),
file('ALG095+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ equal(op(e1,e4),e3)
| skC10 ),
file('ALG095+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ equal(op(e2,e0),e2)
| skC11 ),
file('ALG095+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ equal(op(e2,e1),e0)
| skC12 ),
file('ALG095+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ equal(op(e2,e2),e3)
| skC13 ),
file('ALG095+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ equal(op(e2,e3),e4)
| skC14 ),
file('ALG095+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ equal(op(e2,e4),e1)
| skC15 ),
file('ALG095+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ equal(op(e3,e0),e3)
| skC16 ),
file('ALG095+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ equal(op(e3,e1),e4)
| skC17 ),
file('ALG095+1.p',unknown),
[] ).
cnf(127,axiom,
( ~ equal(op(e3,e2),e0)
| skC18 ),
file('ALG095+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ equal(op(e3,e3),e1)
| skC19 ),
file('ALG095+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ equal(op(e3,e4),e2)
| skC20 ),
file('ALG095+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ equal(op(e4,e0),e4)
| skC21 ),
file('ALG095+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ equal(op(e4,e1),e3)
| skC22 ),
file('ALG095+1.p',unknown),
[] ).
cnf(153,axiom,
( ~ equal(op(e4,e2),e1)
| skC23 ),
file('ALG095+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ equal(op(e4,e3),e2)
| skC24 ),
file('ALG095+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ equal(op(e4,e4),e0)
| skC25 ),
file('ALG095+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ equal(op(e0,e0),e0)
| skC27 ),
file('ALG095+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ equal(op(e0,e0),e0)
| skC28 ),
file('ALG095+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ equal(op(e0,e1),e1)
| skC29 ),
file('ALG095+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ equal(op(e1,e0),e1)
| skC30 ),
file('ALG095+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ equal(op(e0,e2),e2)
| skC31 ),
file('ALG095+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ equal(op(e2,e0),e2)
| skC32 ),
file('ALG095+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ equal(op(e0,e3),e3)
| skC33 ),
file('ALG095+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ equal(op(e3,e0),e3)
| skC34 ),
file('ALG095+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ equal(op(e0,e4),e4)
| skC35 ),
file('ALG095+1.p',unknown),
[] ).
cnf(216,axiom,
( ~ equal(op(e4,e0),e4)
| skC36 ),
file('ALG095+1.p',unknown),
[] ).
cnf(220,axiom,
( ~ equal(op(e1,e3),e0)
| skC37 ),
file('ALG095+1.p',unknown),
[] ).
cnf(224,axiom,
( ~ equal(op(e2,e1),e0)
| skC38 ),
file('ALG095+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ equal(op(e1,e0),e1)
| skC39 ),
file('ALG095+1.p',unknown),
[] ).
cnf(232,axiom,
( ~ equal(op(e0,e1),e1)
| skC40 ),
file('ALG095+1.p',unknown),
[] ).
cnf(238,axiom,
( ~ equal(op(e1,e1),e2)
| skC41 ),
file('ALG095+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ equal(op(e1,e1),e2)
| skC42 ),
file('ALG095+1.p',unknown),
[] ).
cnf(251,axiom,
( ~ equal(op(e1,e4),e3)
| skC43 ),
file('ALG095+1.p',unknown),
[] ).
cnf(256,axiom,
( ~ equal(op(e4,e1),e3)
| skC44 ),
file('ALG095+1.p',unknown),
[] ).
cnf(259,axiom,
( ~ equal(op(e1,e2),e4)
| skC45 ),
file('ALG095+1.p',unknown),
[] ).
cnf(265,axiom,
( ~ equal(op(e3,e1),e4)
| skC46 ),
file('ALG095+1.p',unknown),
[] ).
cnf(268,axiom,
( ~ equal(op(e2,e1),e0)
| skC47 ),
file('ALG095+1.p',unknown),
[] ).
cnf(275,axiom,
( ~ equal(op(e3,e2),e0)
| skC48 ),
file('ALG095+1.p',unknown),
[] ).
cnf(281,axiom,
( ~ equal(op(e2,e4),e1)
| skC49 ),
file('ALG095+1.p',unknown),
[] ).
cnf(286,axiom,
( ~ equal(op(e4,e2),e1)
| skC50 ),
file('ALG095+1.p',unknown),
[] ).
cnf(287,axiom,
( ~ equal(op(e2,e0),e2)
| skC51 ),
file('ALG095+1.p',unknown),
[] ).
cnf(292,axiom,
( ~ equal(op(e0,e2),e2)
| skC52 ),
file('ALG095+1.p',unknown),
[] ).
cnf(299,axiom,
( ~ equal(op(e2,e2),e3)
| skC53 ),
file('ALG095+1.p',unknown),
[] ).
cnf(304,axiom,
( ~ equal(op(e2,e2),e3)
| skC54 ),
file('ALG095+1.p',unknown),
[] ).
cnf(310,axiom,
( ~ equal(op(e2,e3),e4)
| skC55 ),
file('ALG095+1.p',unknown),
[] ).
cnf(313,axiom,
( ~ equal(op(e1,e2),e4)
| skC56 ),
file('ALG095+1.p',unknown),
[] ).
cnf(319,axiom,
( ~ equal(op(e3,e2),e0)
| skC57 ),
file('ALG095+1.p',unknown),
[] ).
cnf(323,axiom,
( ~ equal(op(e1,e3),e0)
| skC58 ),
file('ALG095+1.p',unknown),
[] ).
cnf(330,axiom,
( ~ equal(op(e3,e3),e1)
| skC59 ),
file('ALG095+1.p',unknown),
[] ).
cnf(335,axiom,
( ~ equal(op(e3,e3),e1)
| skC60 ),
file('ALG095+1.p',unknown),
[] ).
cnf(341,axiom,
( ~ equal(op(e3,e4),e2)
| skC61 ),
file('ALG095+1.p',unknown),
[] ).
cnf(346,axiom,
( ~ equal(op(e4,e3),e2)
| skC62 ),
file('ALG095+1.p',unknown),
[] ).
cnf(347,axiom,
( ~ equal(op(e3,e0),e3)
| skC63 ),
file('ALG095+1.p',unknown),
[] ).
cnf(352,axiom,
( ~ equal(op(e0,e3),e3)
| skC64 ),
file('ALG095+1.p',unknown),
[] ).
cnf(358,axiom,
( ~ equal(op(e3,e1),e4)
| skC65 ),
file('ALG095+1.p',unknown),
[] ).
cnf(364,axiom,
( ~ equal(op(e2,e3),e4)
| skC66 ),
file('ALG095+1.p',unknown),
[] ).
cnf(371,axiom,
( ~ equal(op(e4,e4),e0)
| skC67 ),
file('ALG095+1.p',unknown),
[] ).
cnf(376,axiom,
( ~ equal(op(e4,e4),e0)
| skC68 ),
file('ALG095+1.p',unknown),
[] ).
cnf(379,axiom,
( ~ equal(op(e4,e2),e1)
| skC69 ),
file('ALG095+1.p',unknown),
[] ).
cnf(384,axiom,
( ~ equal(op(e2,e4),e1)
| skC70 ),
file('ALG095+1.p',unknown),
[] ).
cnf(390,axiom,
( ~ equal(op(e4,e3),e2)
| skC71 ),
file('ALG095+1.p',unknown),
[] ).
cnf(395,axiom,
( ~ equal(op(e3,e4),e2)
| skC72 ),
file('ALG095+1.p',unknown),
[] ).
cnf(398,axiom,
( ~ equal(op(e4,e1),e3)
| skC73 ),
file('ALG095+1.p',unknown),
[] ).
cnf(403,axiom,
( ~ equal(op(e1,e4),e3)
| skC74 ),
file('ALG095+1.p',unknown),
[] ).
cnf(407,axiom,
( ~ equal(op(e4,e0),e4)
| skC75 ),
file('ALG095+1.p',unknown),
[] ).
cnf(418,axiom,
( ~ equal(op(op(e3,e1),e1),e3)
| equal(op(e3,e1),op(e1,e3))
| equal(op(op(e3,e1),e3),e1)
| skC0 ),
file('ALG095+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
| ~ 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('ALG095+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(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)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(455,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[454]),
[iquote('0:Obv:454.0')] ).
cnf(460,plain,
( ~ equal(e4,e4)
| skC75 ),
inference(rew,[status(thm),theory(equality)],[442,407,1]),
[iquote('0:Rew:442.0,407.0,1.0,407.0')] ).
cnf(461,plain,
skC75,
inference(obv,[status(thm),theory(equality)],[460]),
[iquote('0:Obv:460.0')] ).
cnf(465,plain,
( ~ equal(e3,e3)
| skC74 ),
inference(rew,[status(thm),theory(equality)],[26,403]),
[iquote('0:Rew:26.0,403.0')] ).
cnf(466,plain,
skC74,
inference(obv,[status(thm),theory(equality)],[465]),
[iquote('0:Obv:465.0')] ).
cnf(470,plain,
( ~ equal(e3,e3)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[38,398]),
[iquote('0:Rew:38.0,398.0')] ).
cnf(471,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[470]),
[iquote('0:Obv:470.0')] ).
cnf(473,plain,
( ~ equal(e2,e2)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[36,395]),
[iquote('0:Rew:36.0,395.0')] ).
cnf(474,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[473]),
[iquote('0:Obv:473.0')] ).
cnf(476,plain,
( ~ equal(e2,e2)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[40,390]),
[iquote('0:Rew:40.0,390.0')] ).
cnf(477,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[476]),
[iquote('0:Obv:476.0')] ).
cnf(480,plain,
( ~ equal(e1,e1)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[31,384]),
[iquote('0:Rew:31.0,384.0')] ).
cnf(481,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[480]),
[iquote('0:Obv:480.0')] ).
cnf(484,plain,
( ~ equal(e1,e1)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[39,379]),
[iquote('0:Rew:39.0,379.0')] ).
cnf(485,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[484]),
[iquote('0:Obv:484.0')] ).
cnf(486,plain,
( ~ equal(unit,unit)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[441,376,1]),
[iquote('0:Rew:441.0,376.0,1.0,376.0')] ).
cnf(487,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[486]),
[iquote('0:Obv:486.0')] ).
cnf(488,plain,
( ~ equal(unit,unit)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[441,371,1]),
[iquote('0:Rew:441.0,371.0,1.0,371.0')] ).
cnf(489,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[488]),
[iquote('0:Obv:488.0')] ).
cnf(492,plain,
( ~ equal(e4,e4)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[30,364]),
[iquote('0:Rew:30.0,364.0')] ).
cnf(493,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[492]),
[iquote('0:Obv:492.0')] ).
cnf(497,plain,
( ~ equal(e4,e4)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[33,358]),
[iquote('0:Rew:33.0,358.0')] ).
cnf(498,plain,
skC65,
inference(obv,[status(thm),theory(equality)],[497]),
[iquote('0:Obv:497.0')] ).
cnf(503,plain,
( ~ equal(e3,e3)
| skC64 ),
inference(rew,[status(thm),theory(equality)],[450,352,1]),
[iquote('0:Rew:450.0,352.0,1.0,352.0')] ).
cnf(504,plain,
skC64,
inference(obv,[status(thm),theory(equality)],[503]),
[iquote('0:Obv:503.0')] ).
cnf(509,plain,
( ~ equal(e3,e3)
| skC63 ),
inference(rew,[status(thm),theory(equality)],[444,347,1]),
[iquote('0:Rew:444.0,347.0,1.0,347.0')] ).
cnf(510,plain,
skC63,
inference(obv,[status(thm),theory(equality)],[509]),
[iquote('0:Obv:509.0')] ).
cnf(511,plain,
( ~ equal(e2,e2)
| skC62 ),
inference(rew,[status(thm),theory(equality)],[40,346]),
[iquote('0:Rew:40.0,346.0')] ).
cnf(512,plain,
skC62,
inference(obv,[status(thm),theory(equality)],[511]),
[iquote('0:Obv:511.0')] ).
cnf(513,plain,
( ~ equal(e2,e2)
| skC61 ),
inference(rew,[status(thm),theory(equality)],[36,341]),
[iquote('0:Rew:36.0,341.0')] ).
cnf(514,plain,
skC61,
inference(obv,[status(thm),theory(equality)],[513]),
[iquote('0:Obv:513.0')] ).
cnf(516,plain,
( ~ equal(e1,e1)
| skC60 ),
inference(rew,[status(thm),theory(equality)],[35,335]),
[iquote('0:Rew:35.0,335.0')] ).
cnf(517,plain,
skC60,
inference(obv,[status(thm),theory(equality)],[516]),
[iquote('0:Obv:516.0')] ).
cnf(519,plain,
( ~ equal(e1,e1)
| skC59 ),
inference(rew,[status(thm),theory(equality)],[35,330]),
[iquote('0:Rew:35.0,330.0')] ).
cnf(520,plain,
skC59,
inference(obv,[status(thm),theory(equality)],[519]),
[iquote('0:Obv:519.0')] ).
cnf(524,plain,
( ~ equal(unit,unit)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[447,323,1]),
[iquote('0:Rew:447.0,323.0,1.0,323.0')] ).
cnf(525,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[524]),
[iquote('0:Obv:524.0')] ).
cnf(528,plain,
( ~ equal(unit,unit)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[443,319,1]),
[iquote('0:Rew:443.0,319.0,1.0,319.0')] ).
cnf(529,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[528]),
[iquote('0:Obv:528.0')] ).
cnf(533,plain,
( ~ equal(e4,e4)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[24,313]),
[iquote('0:Rew:24.0,313.0')] ).
cnf(534,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[533]),
[iquote('0:Obv:533.0')] ).
cnf(536,plain,
( ~ equal(e4,e4)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[30,310]),
[iquote('0:Rew:30.0,310.0')] ).
cnf(537,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[536]),
[iquote('0:Obv:536.0')] ).
cnf(540,plain,
( ~ equal(e3,e3)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[29,304]),
[iquote('0:Rew:29.0,304.0')] ).
cnf(541,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[540]),
[iquote('0:Obv:540.0')] ).
cnf(544,plain,
( ~ equal(e3,e3)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[29,299]),
[iquote('0:Rew:29.0,299.0')] ).
cnf(545,plain,
skC53,
inference(obv,[status(thm),theory(equality)],[544]),
[iquote('0:Obv:544.0')] ).
cnf(550,plain,
( ~ equal(e2,e2)
| skC52 ),
inference(rew,[status(thm),theory(equality)],[451,292,1]),
[iquote('0:Rew:451.0,292.0,1.0,292.0')] ).
cnf(551,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[550]),
[iquote('0:Obv:550.0')] ).
cnf(556,plain,
( ~ equal(e2,e2)
| skC51 ),
inference(rew,[status(thm),theory(equality)],[446,287,1]),
[iquote('0:Rew:446.0,287.0,1.0,287.0')] ).
cnf(557,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[556]),
[iquote('0:Obv:556.0')] ).
cnf(558,plain,
( ~ equal(e1,e1)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[39,286]),
[iquote('0:Rew:39.0,286.0')] ).
cnf(559,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[558]),
[iquote('0:Obv:558.0')] ).
cnf(560,plain,
( ~ equal(e1,e1)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[31,281]),
[iquote('0:Rew:31.0,281.0')] ).
cnf(561,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[560]),
[iquote('0:Obv:560.0')] ).
cnf(563,plain,
( ~ equal(unit,unit)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[443,275,1]),
[iquote('0:Rew:443.0,275.0,1.0,275.0')] ).
cnf(564,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[563]),
[iquote('0:Obv:563.0')] ).
cnf(568,plain,
( ~ equal(unit,unit)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[445,268,1]),
[iquote('0:Rew:445.0,268.0,1.0,268.0')] ).
cnf(569,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[568]),
[iquote('0:Obv:568.0')] ).
cnf(571,plain,
( ~ equal(e4,e4)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[33,265]),
[iquote('0:Rew:33.0,265.0')] ).
cnf(572,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[571]),
[iquote('0:Obv:571.0')] ).
cnf(575,plain,
( ~ equal(e4,e4)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[24,259]),
[iquote('0:Rew:24.0,259.0')] ).
cnf(576,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[575]),
[iquote('0:Obv:575.0')] ).
cnf(577,plain,
( ~ equal(e3,e3)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[38,256]),
[iquote('0:Rew:38.0,256.0')] ).
cnf(578,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[577]),
[iquote('0:Obv:577.0')] ).
cnf(579,plain,
( ~ equal(e3,e3)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[26,251]),
[iquote('0:Rew:26.0,251.0')] ).
cnf(580,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[579]),
[iquote('0:Obv:579.0')] ).
cnf(584,plain,
( ~ equal(e2,e2)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[23,243]),
[iquote('0:Rew:23.0,243.0')] ).
cnf(585,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[584]),
[iquote('0:Obv:584.0')] ).
cnf(589,plain,
( ~ equal(e2,e2)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[23,238]),
[iquote('0:Rew:23.0,238.0')] ).
cnf(590,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[589]),
[iquote('0:Obv:589.0')] ).
cnf(595,plain,
( ~ equal(e1,e1)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[452,232,1]),
[iquote('0:Rew:452.0,232.0,1.0,232.0')] ).
cnf(596,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[595]),
[iquote('0:Obv:595.0')] ).
cnf(601,plain,
( ~ equal(e1,e1)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[448,227,1]),
[iquote('0:Rew:448.0,227.0,1.0,227.0')] ).
cnf(602,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[601]),
[iquote('0:Obv:601.0')] ).
cnf(605,plain,
( ~ equal(unit,unit)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[445,224,1]),
[iquote('0:Rew:445.0,224.0,1.0,224.0')] ).
cnf(606,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[605]),
[iquote('0:Obv:605.0')] ).
cnf(608,plain,
( ~ equal(unit,unit)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[447,220,1]),
[iquote('0:Rew:447.0,220.0,1.0,220.0')] ).
cnf(609,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[608]),
[iquote('0:Obv:608.0')] ).
cnf(610,plain,
( ~ equal(e4,e4)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[442,216,1]),
[iquote('0:Rew:442.0,216.0,1.0,216.0')] ).
cnf(611,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[610]),
[iquote('0:Obv:610.0')] ).
cnf(612,plain,
( ~ equal(e4,e4)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[449,211,1]),
[iquote('0:Rew:449.0,211.0,1.0,211.0')] ).
cnf(613,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[612]),
[iquote('0:Obv:612.0')] ).
cnf(615,plain,
( ~ equal(e3,e3)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[444,205,1]),
[iquote('0:Rew:444.0,205.0,1.0,205.0')] ).
cnf(616,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[615]),
[iquote('0:Obv:615.0')] ).
cnf(618,plain,
( ~ equal(e3,e3)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[450,200,1]),
[iquote('0:Rew:450.0,200.0,1.0,200.0')] ).
cnf(619,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[618]),
[iquote('0:Obv:618.0')] ).
cnf(622,plain,
( ~ equal(e2,e2)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[446,194,1]),
[iquote('0:Rew:446.0,194.0,1.0,194.0')] ).
cnf(623,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[622]),
[iquote('0:Obv:622.0')] ).
cnf(626,plain,
( ~ equal(e2,e2)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[451,189,1]),
[iquote('0:Rew:451.0,189.0,1.0,189.0')] ).
cnf(627,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[626]),
[iquote('0:Obv:626.0')] ).
cnf(631,plain,
( ~ equal(e1,e1)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[448,183,1]),
[iquote('0:Rew:448.0,183.0,1.0,183.0')] ).
cnf(632,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[631]),
[iquote('0:Obv:631.0')] ).
cnf(636,plain,
( ~ equal(e1,e1)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[452,178,1]),
[iquote('0:Rew:452.0,178.0,1.0,178.0')] ).
cnf(637,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[636]),
[iquote('0:Obv:636.0')] ).
cnf(642,plain,
( ~ equal(unit,unit)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[453,172,1]),
[iquote('0:Rew:453.0,172.0,1.0,172.0')] ).
cnf(643,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[642]),
[iquote('0:Obv:642.0')] ).
cnf(648,plain,
( ~ equal(unit,unit)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[453,167,1]),
[iquote('0:Rew:453.0,167.0,1.0,167.0')] ).
cnf(649,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[648]),
[iquote('0:Obv:648.0')] ).
cnf(654,plain,
( ~ equal(unit,unit)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[441,162,1]),
[iquote('0:Rew:441.0,162.0,1.0,162.0')] ).
cnf(655,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[654]),
[iquote('0:Obv:654.0')] ).
cnf(658,plain,
( ~ equal(e2,e2)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[40,159]),
[iquote('0:Rew:40.0,159.0')] ).
cnf(659,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[658]),
[iquote('0:Obv:658.0')] ).
cnf(663,plain,
( ~ equal(e1,e1)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[39,153]),
[iquote('0:Rew:39.0,153.0')] ).
cnf(664,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[663]),
[iquote('0:Obv:663.0')] ).
cnf(666,plain,
( ~ equal(e3,e3)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[38,150]),
[iquote('0:Rew:38.0,150.0')] ).
cnf(667,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[666]),
[iquote('0:Obv:666.0')] ).
cnf(668,plain,
( ~ equal(e4,e4)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[442,146,1]),
[iquote('0:Rew:442.0,146.0,1.0,146.0')] ).
cnf(669,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[668]),
[iquote('0:Obv:668.0')] ).
cnf(672,plain,
( ~ equal(e2,e2)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[36,139]),
[iquote('0:Rew:36.0,139.0')] ).
cnf(673,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[672]),
[iquote('0:Obv:672.0')] ).
cnf(677,plain,
( ~ equal(e1,e1)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[35,133]),
[iquote('0:Rew:35.0,133.0')] ).
cnf(678,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[677]),
[iquote('0:Obv:677.0')] ).
cnf(683,plain,
( ~ equal(unit,unit)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[443,127,1]),
[iquote('0:Rew:443.0,127.0,1.0,127.0')] ).
cnf(684,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[683]),
[iquote('0:Obv:683.0')] ).
cnf(685,plain,
( ~ equal(e4,e4)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[33,126]),
[iquote('0:Rew:33.0,126.0')] ).
cnf(686,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[685]),
[iquote('0:Obv:685.0')] ).
cnf(688,plain,
( ~ equal(e3,e3)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[444,120,1]),
[iquote('0:Rew:444.0,120.0,1.0,120.0')] ).
cnf(689,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[688]),
[iquote('0:Obv:688.0')] ).
cnf(693,plain,
( ~ equal(e1,e1)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[31,113]),
[iquote('0:Rew:31.0,113.0')] ).
cnf(694,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[693]),
[iquote('0:Obv:693.0')] ).
cnf(695,plain,
( ~ equal(e4,e4)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[30,111]),
[iquote('0:Rew:30.0,111.0')] ).
cnf(696,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[695]),
[iquote('0:Obv:695.0')] ).
cnf(698,plain,
( ~ equal(e3,e3)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[29,105]),
[iquote('0:Rew:29.0,105.0')] ).
cnf(699,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[698]),
[iquote('0:Obv:698.0')] ).
cnf(704,plain,
( ~ equal(unit,unit)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[445,97,1]),
[iquote('0:Rew:445.0,97.0,1.0,97.0')] ).
cnf(705,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[704]),
[iquote('0:Obv:704.0')] ).
cnf(708,plain,
( ~ equal(e2,e2)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[446,94,1]),
[iquote('0:Rew:446.0,94.0,1.0,94.0')] ).
cnf(709,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[708]),
[iquote('0:Obv:708.0')] ).
cnf(711,plain,
( ~ equal(e3,e3)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[26,90]),
[iquote('0:Rew:26.0,90.0')] ).
cnf(712,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[711]),
[iquote('0:Obv:711.0')] ).
cnf(717,plain,
( ~ equal(unit,unit)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[447,82,1]),
[iquote('0:Rew:447.0,82.0,1.0,82.0')] ).
cnf(718,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[717]),
[iquote('0:Obv:717.0')] ).
cnf(719,plain,
( ~ equal(e4,e4)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[24,81]),
[iquote('0:Rew:24.0,81.0')] ).
cnf(720,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[719]),
[iquote('0:Obv:719.0')] ).
cnf(723,plain,
( ~ equal(e2,e2)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[23,74]),
[iquote('0:Rew:23.0,74.0')] ).
cnf(724,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[723]),
[iquote('0:Obv:723.0')] ).
cnf(728,plain,
( ~ equal(e1,e1)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[448,68,1]),
[iquote('0:Rew:448.0,68.0,1.0,68.0')] ).
cnf(729,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[728]),
[iquote('0:Obv:728.0')] ).
cnf(730,plain,
( ~ equal(e4,e4)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[449,66,1]),
[iquote('0:Rew:449.0,66.0,1.0,66.0')] ).
cnf(731,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[730]),
[iquote('0:Obv:730.0')] ).
cnf(733,plain,
( ~ equal(e3,e3)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[450,60,1]),
[iquote('0:Rew:450.0,60.0,1.0,60.0')] ).
cnf(734,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[733]),
[iquote('0:Obv:733.0')] ).
cnf(737,plain,
( ~ equal(e2,e2)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[451,54,1]),
[iquote('0:Rew:451.0,54.0,1.0,54.0')] ).
cnf(738,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[737]),
[iquote('0:Obv:737.0')] ).
cnf(742,plain,
( ~ equal(e1,e1)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[452,48,1]),
[iquote('0:Rew:452.0,48.0,1.0,48.0')] ).
cnf(743,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[742]),
[iquote('0:Obv:742.0')] ).
cnf(748,plain,
( ~ equal(unit,unit)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[453,42,1]),
[iquote('0:Rew:453.0,42.0,1.0,42.0')] ).
cnf(749,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[748]),
[iquote('0:Obv:748.0')] ).
cnf(756,plain,
( ~ equal(e3,e3)
| equal(unit,e4)
| equal(e2,e1)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[40,418,33,447,38]),
[iquote('0:Rew:40.0,418.2,33.0,418.2,33.0,418.1,447.0,418.1,38.0,418.0,33.0,418.0')] ).
cnf(757,plain,
( equal(unit,e4)
| equal(e2,e1)
| skC0 ),
inference(obv,[status(thm),theory(equality)],[756]),
[iquote('0:Obv:756.0')] ).
cnf(758,plain,
skC0,
inference(mrr,[status(thm)],[757,437,6]),
[iquote('0:MRR:757.0,757.1,437.0,6.0')] ).
cnf(767,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(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)
| ~ 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)],[442,436,449,444,450,446,451,448,452,453,1]),
[iquote('0:Rew:442.0,436.36,449.0,436.35,444.0,436.34,450.0,436.33,446.0,436.32,451.0,436.31,448.0,436.30,452.0,436.29,453.0,436.28,1.0,436.28,453.0,436.27,1.0,436.27,449.0,436.0,1.0,436.0')] ).
cnf(768,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)],[767]),
[iquote('0:Obv:767.36')] ).
cnf(769,plain,
$false,
inference(mrr,[status(thm)],[768,758,749,743,738,734,731,729,724,720,718,712,709,705,699,696,694,689,686,684,678,673,669,667,664,659,655,455,649,643,637,632,627,623,619,616,613,611,609,606,602,596,590,585,580,578,576,572,569,564,561,559,557,551,545,541,537,534,529,525,520,517,514,512,510,504,498,493,489,487,485,481,477,474,471,466,461]),
[iquote('0:MRR:768.0,768.1,768.2,768.3,768.4,768.5,768.6,768.7,768.8,768.9,768.10,768.11,768.12,768.13,768.14,768.15,768.16,768.17,768.18,768.19,768.20,768.21,768.22,768.23,768.24,768.25,768.26,768.27,768.28,768.29,768.30,768.31,768.32,768.33,768.34,768.35,768.36,768.37,768.38,768.39,768.40,768.41,768.42,768.43,768.44,768.45,768.46,768.47,768.48,768.49,768.50,768.51,768.52,768.53,768.54,768.55,768.56,768.57,768.58,768.59,768.60,768.61,768.62,768.63,768.64,768.65,768.66,768.67,768.68,768.69,768.70,768.71,768.72,768.73,768.74,768.75,758.0,749.0,743.0,738.0,734.0,731.0,729.0,724.0,720.0,718.0,712.0,709.0,705.0,699.0,696.0,694.0,689.0,686.0,684.0,678.0,673.0,669.0,667.0,664.0,659.0,655.0,455.0,649.0,643.0,637.0,632.0,627.0,623.0,619.0,616.0,613.0,611.0,609.0,606.0,602.0,596.0,590.0,585.0,580.0,578.0,576.0,572.0,569.0,564.0,561.0,559.0,557.0,551.0,545.0,541.0,537.0,534.0,529.0,525.0,520.0,517.0,514.0,512.0,510.0,504.0,498.0,493.0,489.0,487.0,485.0,481.0,477.0,474.0,471.0,466.0,461.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ALG095+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Wed Jun 8 21:43:34 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.41/0.56
% 0.41/0.56 SPASS V 3.9
% 0.41/0.56 SPASS beiseite: Proof found.
% 0.41/0.56 % SZS status Theorem
% 0.41/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.56 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 113 clauses.
% 0.41/0.56 SPASS allocated 86526 KBytes.
% 0.41/0.56 SPASS spent 0:00:00.20 on the problem.
% 0.41/0.56 0:00:00.04 for the input.
% 0.41/0.56 0:00:00.12 for the FLOTTER CNF translation.
% 0.41/0.56 0:00:00.00 for inferences.
% 0.41/0.56 0:00:00.00 for the backtracking.
% 0.41/0.56 0:00:00.02 for the reduction.
% 0.41/0.56
% 0.41/0.56
% 0.41/0.56 Here is a proof with depth 0, length 275 :
% 0.41/0.56 % SZS output start Refutation
% See solution above
% 0.41/0.57 Formulae used in the proof : ax3 ax1 co1 ax2
% 0.41/0.57
%------------------------------------------------------------------------------