TSTP Solution File: ALG094+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG094+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 104
% Syntax : Number of clauses : 273 ( 117 unt; 3 nHn; 273 RR)
% Number of literals : 677 ( 0 equ; 405 neg)
% Maximal clause size : 87 ( 2 avg)
% Maximal term depth : 2 ( 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('ALG094+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(e4,e2),
file('ALG094+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(e0,unit)
| skC26 ),
file('ALG094+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e0,e0),e0),
file('ALG094+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e0,e1),e1),
file('ALG094+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e0,e2),e2),
file('ALG094+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e0,e3),e3),
file('ALG094+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e0,e4),e4),
file('ALG094+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e1,e0),e1),
file('ALG094+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e1,e1),e2),
file('ALG094+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e1,e2),e3),
file('ALG094+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e1,e3),e4),
file('ALG094+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e1,e4),e0),
file('ALG094+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e2,e0),e2),
file('ALG094+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e2,e1),e4),
file('ALG094+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e2,e2),e1),
file('ALG094+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e2,e3),e0),
file('ALG094+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e2,e4),e3),
file('ALG094+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e3,e0),e3),
file('ALG094+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e3,e1),e0),
file('ALG094+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e3,e2),e4),
file('ALG094+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e3,e3),e1),
file('ALG094+1.p',unknown),
[] ).
cnf(36,axiom,
equal(op(e3,e4),e2),
file('ALG094+1.p',unknown),
[] ).
cnf(37,axiom,
equal(op(e4,e0),e4),
file('ALG094+1.p',unknown),
[] ).
cnf(38,axiom,
equal(op(e4,e1),e3),
file('ALG094+1.p',unknown),
[] ).
cnf(39,axiom,
equal(op(e4,e2),e0),
file('ALG094+1.p',unknown),
[] ).
cnf(40,axiom,
equal(op(e4,e3),e2),
file('ALG094+1.p',unknown),
[] ).
cnf(41,axiom,
equal(op(e4,e4),e1),
file('ALG094+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ equal(op(e0,e0),e0)
| skC1 ),
file('ALG094+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ equal(op(e0,e1),e1)
| skC2 ),
file('ALG094+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ equal(op(e0,e2),e2)
| skC3 ),
file('ALG094+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ equal(op(e0,e3),e3)
| skC4 ),
file('ALG094+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ equal(op(e0,e4),e4)
| skC5 ),
file('ALG094+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ equal(op(e1,e0),e1)
| skC6 ),
file('ALG094+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ equal(op(e1,e1),e2)
| skC7 ),
file('ALG094+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ equal(op(e1,e2),e3)
| skC8 ),
file('ALG094+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ equal(op(e1,e3),e4)
| skC9 ),
file('ALG094+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ equal(op(e1,e4),e0)
| skC10 ),
file('ALG094+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ equal(op(e2,e0),e2)
| skC11 ),
file('ALG094+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ equal(op(e2,e1),e4)
| skC12 ),
file('ALG094+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ equal(op(e2,e2),e1)
| skC13 ),
file('ALG094+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ equal(op(e2,e3),e0)
| skC14 ),
file('ALG094+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ equal(op(e2,e4),e3)
| skC15 ),
file('ALG094+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ equal(op(e3,e0),e3)
| skC16 ),
file('ALG094+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ equal(op(e3,e1),e0)
| skC17 ),
file('ALG094+1.p',unknown),
[] ).
cnf(131,axiom,
( ~ equal(op(e3,e2),e4)
| skC18 ),
file('ALG094+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ equal(op(e3,e3),e1)
| skC19 ),
file('ALG094+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ equal(op(e3,e4),e2)
| skC20 ),
file('ALG094+1.p',unknown),
[] ).
cnf(146,axiom,
( ~ equal(op(e4,e0),e4)
| skC21 ),
file('ALG094+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ equal(op(e4,e1),e3)
| skC22 ),
file('ALG094+1.p',unknown),
[] ).
cnf(152,axiom,
( ~ equal(op(e4,e2),e0)
| skC23 ),
file('ALG094+1.p',unknown),
[] ).
cnf(159,axiom,
( ~ equal(op(e4,e3),e2)
| skC24 ),
file('ALG094+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ equal(op(e4,e4),e1)
| skC25 ),
file('ALG094+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ equal(op(e0,e0),e0)
| skC27 ),
file('ALG094+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ equal(op(e0,e0),e0)
| skC28 ),
file('ALG094+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ equal(op(e0,e1),e1)
| skC29 ),
file('ALG094+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ equal(op(e1,e0),e1)
| skC30 ),
file('ALG094+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ equal(op(e0,e2),e2)
| skC31 ),
file('ALG094+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ equal(op(e2,e0),e2)
| skC32 ),
file('ALG094+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ equal(op(e0,e3),e3)
| skC33 ),
file('ALG094+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ equal(op(e3,e0),e3)
| skC34 ),
file('ALG094+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ equal(op(e0,e4),e4)
| skC35 ),
file('ALG094+1.p',unknown),
[] ).
cnf(216,axiom,
( ~ equal(op(e4,e0),e4)
| skC36 ),
file('ALG094+1.p',unknown),
[] ).
cnf(221,axiom,
( ~ equal(op(e1,e4),e0)
| skC37 ),
file('ALG094+1.p',unknown),
[] ).
cnf(225,axiom,
( ~ equal(op(e3,e1),e0)
| skC38 ),
file('ALG094+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ equal(op(e1,e0),e1)
| skC39 ),
file('ALG094+1.p',unknown),
[] ).
cnf(232,axiom,
( ~ equal(op(e0,e1),e1)
| skC40 ),
file('ALG094+1.p',unknown),
[] ).
cnf(238,axiom,
( ~ equal(op(e1,e1),e2)
| skC41 ),
file('ALG094+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ equal(op(e1,e1),e2)
| skC42 ),
file('ALG094+1.p',unknown),
[] ).
cnf(249,axiom,
( ~ equal(op(e1,e2),e3)
| skC43 ),
file('ALG094+1.p',unknown),
[] ).
cnf(256,axiom,
( ~ equal(op(e4,e1),e3)
| skC44 ),
file('ALG094+1.p',unknown),
[] ).
cnf(260,axiom,
( ~ equal(op(e1,e3),e4)
| skC45 ),
file('ALG094+1.p',unknown),
[] ).
cnf(264,axiom,
( ~ equal(op(e2,e1),e4)
| skC46 ),
file('ALG094+1.p',unknown),
[] ).
cnf(270,axiom,
( ~ equal(op(e2,e3),e0)
| skC47 ),
file('ALG094+1.p',unknown),
[] ).
cnf(276,axiom,
( ~ equal(op(e4,e2),e0)
| skC48 ),
file('ALG094+1.p',unknown),
[] ).
cnf(279,axiom,
( ~ equal(op(e2,e2),e1)
| skC49 ),
file('ALG094+1.p',unknown),
[] ).
cnf(284,axiom,
( ~ equal(op(e2,e2),e1)
| skC50 ),
file('ALG094+1.p',unknown),
[] ).
cnf(287,axiom,
( ~ equal(op(e2,e0),e2)
| skC51 ),
file('ALG094+1.p',unknown),
[] ).
cnf(292,axiom,
( ~ equal(op(e0,e2),e2)
| skC52 ),
file('ALG094+1.p',unknown),
[] ).
cnf(301,axiom,
( ~ equal(op(e2,e4),e3)
| skC53 ),
file('ALG094+1.p',unknown),
[] ).
cnf(303,axiom,
( ~ equal(op(e1,e2),e3)
| skC54 ),
file('ALG094+1.p',unknown),
[] ).
cnf(308,axiom,
( ~ equal(op(e2,e1),e4)
| skC55 ),
file('ALG094+1.p',unknown),
[] ).
cnf(315,axiom,
( ~ equal(op(e3,e2),e4)
| skC56 ),
file('ALG094+1.p',unknown),
[] ).
cnf(318,axiom,
( ~ equal(op(e3,e1),e0)
| skC57 ),
file('ALG094+1.p',unknown),
[] ).
cnf(324,axiom,
( ~ equal(op(e2,e3),e0)
| skC58 ),
file('ALG094+1.p',unknown),
[] ).
cnf(330,axiom,
( ~ equal(op(e3,e3),e1)
| skC59 ),
file('ALG094+1.p',unknown),
[] ).
cnf(335,axiom,
( ~ equal(op(e3,e3),e1)
| skC60 ),
file('ALG094+1.p',unknown),
[] ).
cnf(341,axiom,
( ~ equal(op(e3,e4),e2)
| skC61 ),
file('ALG094+1.p',unknown),
[] ).
cnf(346,axiom,
( ~ equal(op(e4,e3),e2)
| skC62 ),
file('ALG094+1.p',unknown),
[] ).
cnf(347,axiom,
( ~ equal(op(e3,e0),e3)
| skC63 ),
file('ALG094+1.p',unknown),
[] ).
cnf(352,axiom,
( ~ equal(op(e0,e3),e3)
| skC64 ),
file('ALG094+1.p',unknown),
[] ).
cnf(359,axiom,
( ~ equal(op(e3,e2),e4)
| skC65 ),
file('ALG094+1.p',unknown),
[] ).
cnf(363,axiom,
( ~ equal(op(e1,e3),e4)
| skC66 ),
file('ALG094+1.p',unknown),
[] ).
cnf(369,axiom,
( ~ equal(op(e4,e2),e0)
| skC67 ),
file('ALG094+1.p',unknown),
[] ).
cnf(373,axiom,
( ~ equal(op(e1,e4),e0)
| skC68 ),
file('ALG094+1.p',unknown),
[] ).
cnf(381,axiom,
( ~ equal(op(e4,e4),e1)
| skC69 ),
file('ALG094+1.p',unknown),
[] ).
cnf(386,axiom,
( ~ equal(op(e4,e4),e1)
| skC70 ),
file('ALG094+1.p',unknown),
[] ).
cnf(390,axiom,
( ~ equal(op(e4,e3),e2)
| skC71 ),
file('ALG094+1.p',unknown),
[] ).
cnf(395,axiom,
( ~ equal(op(e3,e4),e2)
| skC72 ),
file('ALG094+1.p',unknown),
[] ).
cnf(398,axiom,
( ~ equal(op(e4,e1),e3)
| skC73 ),
file('ALG094+1.p',unknown),
[] ).
cnf(404,axiom,
( ~ equal(op(e2,e4),e3)
| skC74 ),
file('ALG094+1.p',unknown),
[] ).
cnf(407,axiom,
( ~ equal(op(e4,e0),e4)
| skC75 ),
file('ALG094+1.p',unknown),
[] ).
cnf(421,axiom,
( ~ equal(op(e2,e2),e1)
| ~ equal(op(e1,e1),e2)
| equal(op(e2,e1),e2)
| skC0 ),
file('ALG094+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('ALG094+1.p',unknown),
[] ).
cnf(441,plain,
equal(op(e4,e2),unit),
inference(rew,[status(thm),theory(equality)],[1,39]),
[iquote('0:Rew:1.0,39.0')] ).
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,e1),unit),
inference(rew,[status(thm),theory(equality)],[1,33]),
[iquote('0:Rew:1.0,33.0')] ).
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,e3),unit),
inference(rew,[status(thm),theory(equality)],[1,30]),
[iquote('0:Rew:1.0,30.0')] ).
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,e4),unit),
inference(rew,[status(thm),theory(equality)],[1,26]),
[iquote('0:Rew:1.0,26.0')] ).
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(464,plain,
( ~ equal(e3,e3)
| skC74 ),
inference(rew,[status(thm),theory(equality)],[31,404]),
[iquote('0:Rew:31.0,404.0')] ).
cnf(465,plain,
skC74,
inference(obv,[status(thm),theory(equality)],[464]),
[iquote('0:Obv:464.0')] ).
cnf(469,plain,
( ~ equal(e3,e3)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[38,398]),
[iquote('0:Rew:38.0,398.0')] ).
cnf(470,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[469]),
[iquote('0:Obv:469.0')] ).
cnf(472,plain,
( ~ equal(e2,e2)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[36,395]),
[iquote('0:Rew:36.0,395.0')] ).
cnf(473,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[472]),
[iquote('0:Obv:472.0')] ).
cnf(475,plain,
( ~ equal(e2,e2)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[40,390]),
[iquote('0:Rew:40.0,390.0')] ).
cnf(476,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[475]),
[iquote('0:Obv:475.0')] ).
cnf(477,plain,
( ~ equal(e1,e1)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[41,386]),
[iquote('0:Rew:41.0,386.0')] ).
cnf(478,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[477]),
[iquote('0:Obv:477.0')] ).
cnf(479,plain,
( ~ equal(e1,e1)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[41,381]),
[iquote('0:Rew:41.0,381.0')] ).
cnf(480,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[479]),
[iquote('0:Obv:479.0')] ).
cnf(484,plain,
( ~ equal(unit,unit)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[447,373,1]),
[iquote('0:Rew:447.0,373.0,1.0,373.0')] ).
cnf(485,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[484]),
[iquote('0:Obv:484.0')] ).
cnf(488,plain,
( ~ equal(unit,unit)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[441,369,1]),
[iquote('0:Rew:441.0,369.0,1.0,369.0')] ).
cnf(489,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[488]),
[iquote('0:Obv:488.0')] ).
cnf(493,plain,
( ~ equal(e4,e4)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[25,363]),
[iquote('0:Rew:25.0,363.0')] ).
cnf(494,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[493]),
[iquote('0:Obv:493.0')] ).
cnf(497,plain,
( ~ equal(e4,e4)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[34,359]),
[iquote('0:Rew:34.0,359.0')] ).
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(523,plain,
( ~ equal(unit,unit)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[445,324,1]),
[iquote('0:Rew:445.0,324.0,1.0,324.0')] ).
cnf(524,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[523]),
[iquote('0:Obv:523.0')] ).
cnf(528,plain,
( ~ equal(unit,unit)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[443,318,1]),
[iquote('0:Rew:443.0,318.0,1.0,318.0')] ).
cnf(529,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[528]),
[iquote('0:Obv:528.0')] ).
cnf(531,plain,
( ~ equal(e4,e4)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[34,315]),
[iquote('0:Rew:34.0,315.0')] ).
cnf(532,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[531]),
[iquote('0:Obv:531.0')] ).
cnf(536,plain,
( ~ equal(e4,e4)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[28,308]),
[iquote('0:Rew:28.0,308.0')] ).
cnf(537,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[536]),
[iquote('0:Obv:536.0')] ).
cnf(541,plain,
( ~ equal(e3,e3)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[24,303]),
[iquote('0:Rew:24.0,303.0')] ).
cnf(542,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[541]),
[iquote('0:Obv:541.0')] ).
cnf(543,plain,
( ~ equal(e3,e3)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[31,301]),
[iquote('0:Rew:31.0,301.0')] ).
cnf(544,plain,
skC53,
inference(obv,[status(thm),theory(equality)],[543]),
[iquote('0:Obv:543.0')] ).
cnf(549,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(550,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[549]),
[iquote('0:Obv:549.0')] ).
cnf(555,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(556,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[555]),
[iquote('0:Obv:555.0')] ).
cnf(559,plain,
( ~ equal(e1,e1)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[29,284]),
[iquote('0:Rew:29.0,284.0')] ).
cnf(560,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[559]),
[iquote('0:Obv:559.0')] ).
cnf(563,plain,
( ~ equal(e1,e1)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[29,279]),
[iquote('0:Rew:29.0,279.0')] ).
cnf(564,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[563]),
[iquote('0:Obv:563.0')] ).
cnf(565,plain,
( ~ equal(unit,unit)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[441,276,1]),
[iquote('0:Rew:441.0,276.0,1.0,276.0')] ).
cnf(566,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[565]),
[iquote('0:Obv:565.0')] ).
cnf(568,plain,
( ~ equal(unit,unit)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[445,270,1]),
[iquote('0:Rew:445.0,270.0,1.0,270.0')] ).
cnf(569,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[568]),
[iquote('0:Obv:568.0')] ).
cnf(572,plain,
( ~ equal(e4,e4)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[28,264]),
[iquote('0:Rew:28.0,264.0')] ).
cnf(573,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[572]),
[iquote('0:Obv:572.0')] ).
cnf(575,plain,
( ~ equal(e4,e4)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[25,260]),
[iquote('0:Rew:25.0,260.0')] ).
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(581,plain,
( ~ equal(e3,e3)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[24,249]),
[iquote('0:Rew:24.0,249.0')] ).
cnf(582,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[581]),
[iquote('0:Obv:581.0')] ).
cnf(586,plain,
( ~ equal(e2,e2)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[23,243]),
[iquote('0:Rew:23.0,243.0')] ).
cnf(587,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[586]),
[iquote('0:Obv:586.0')] ).
cnf(591,plain,
( ~ equal(e2,e2)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[23,238]),
[iquote('0:Rew:23.0,238.0')] ).
cnf(592,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[591]),
[iquote('0:Obv:591.0')] ).
cnf(597,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(598,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[597]),
[iquote('0:Obv:597.0')] ).
cnf(603,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(604,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[603]),
[iquote('0:Obv:603.0')] ).
cnf(606,plain,
( ~ equal(unit,unit)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[443,225,1]),
[iquote('0:Rew:443.0,225.0,1.0,225.0')] ).
cnf(607,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[606]),
[iquote('0:Obv:606.0')] ).
cnf(608,plain,
( ~ equal(unit,unit)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[447,221,1]),
[iquote('0:Rew:447.0,221.0,1.0,221.0')] ).
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(653,plain,
( ~ equal(e1,e1)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[41,163]),
[iquote('0:Rew:41.0,163.0')] ).
cnf(654,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[653]),
[iquote('0:Obv:653.0')] ).
cnf(657,plain,
( ~ equal(e2,e2)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[40,159]),
[iquote('0:Rew:40.0,159.0')] ).
cnf(658,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[657]),
[iquote('0:Obv:657.0')] ).
cnf(663,plain,
( ~ equal(unit,unit)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[441,152,1]),
[iquote('0:Rew:441.0,152.0,1.0,152.0')] ).
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(679,plain,
( ~ equal(e4,e4)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[34,131]),
[iquote('0:Rew:34.0,131.0')] ).
cnf(680,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[679]),
[iquote('0:Obv:679.0')] ).
cnf(685,plain,
( ~ equal(unit,unit)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[443,122,1]),
[iquote('0:Rew:443.0,122.0,1.0,122.0')] ).
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(691,plain,
( ~ equal(e3,e3)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[31,115]),
[iquote('0:Rew:31.0,115.0')] ).
cnf(692,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[691]),
[iquote('0:Obv:691.0')] ).
cnf(697,plain,
( ~ equal(unit,unit)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[445,107,1]),
[iquote('0:Rew:445.0,107.0,1.0,107.0')] ).
cnf(698,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[697]),
[iquote('0:Obv:697.0')] ).
cnf(702,plain,
( ~ equal(e1,e1)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[29,103]),
[iquote('0:Rew:29.0,103.0')] ).
cnf(703,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[702]),
[iquote('0:Obv:702.0')] ).
cnf(704,plain,
( ~ equal(e4,e4)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[28,101]),
[iquote('0:Rew:28.0,101.0')] ).
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(714,plain,
( ~ equal(unit,unit)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[447,87,1]),
[iquote('0:Rew:447.0,87.0,1.0,87.0')] ).
cnf(715,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[714]),
[iquote('0:Obv:714.0')] ).
cnf(716,plain,
( ~ equal(e4,e4)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[25,86]),
[iquote('0:Rew:25.0,86.0')] ).
cnf(717,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[716]),
[iquote('0:Obv:716.0')] ).
cnf(719,plain,
( ~ equal(e3,e3)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[24,80]),
[iquote('0:Rew:24.0,80.0')] ).
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(762,plain,
( ~ equal(e1,e1)
| ~ equal(e2,e2)
| equal(e4,e2)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[28,421,23,29]),
[iquote('0:Rew:28.0,421.2,23.0,421.1,29.0,421.0')] ).
cnf(763,plain,
( equal(e4,e2)
| skC0 ),
inference(obv,[status(thm),theory(equality)],[762]),
[iquote('0:Obv:762.1')] ).
cnf(764,plain,
skC0,
inference(mrr,[status(thm)],[763,10]),
[iquote('0:MRR:763.0,10.0')] ).
cnf(773,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(774,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)],[773]),
[iquote('0:Obv:773.36')] ).
cnf(775,plain,
$false,
inference(mrr,[status(thm)],[774,764,749,743,738,734,731,729,724,720,717,715,709,705,703,698,692,689,686,680,678,673,669,667,664,658,654,455,649,643,637,632,627,623,619,616,613,611,609,607,604,598,592,587,582,578,576,573,569,566,564,560,556,550,544,542,537,532,529,524,520,517,514,512,510,504,498,494,489,485,480,478,476,473,470,465,461]),
[iquote('0:MRR:774.0,774.1,774.2,774.3,774.4,774.5,774.6,774.7,774.8,774.9,774.10,774.11,774.12,774.13,774.14,774.15,774.16,774.17,774.18,774.19,774.20,774.21,774.22,774.23,774.24,774.25,774.26,774.27,774.28,774.29,774.30,774.31,774.32,774.33,774.34,774.35,774.36,774.37,774.38,774.39,774.40,774.41,774.42,774.43,774.44,774.45,774.46,774.47,774.48,774.49,774.50,774.51,774.52,774.53,774.54,774.55,774.56,774.57,774.58,774.59,774.60,774.61,774.62,774.63,774.64,774.65,774.66,774.67,774.68,774.69,774.70,774.71,774.72,774.73,774.74,774.75,764.0,749.0,743.0,738.0,734.0,731.0,729.0,724.0,720.0,717.0,715.0,709.0,705.0,703.0,698.0,692.0,689.0,686.0,680.0,678.0,673.0,669.0,667.0,664.0,658.0,654.0,455.0,649.0,643.0,637.0,632.0,627.0,623.0,619.0,616.0,613.0,611.0,609.0,607.0,604.0,598.0,592.0,587.0,582.0,578.0,576.0,573.0,569.0,566.0,564.0,560.0,556.0,550.0,544.0,542.0,537.0,532.0,529.0,524.0,520.0,517.0,514.0,512.0,510.0,504.0,498.0,494.0,489.0,485.0,480.0,478.0,476.0,473.0,470.0,465.0,461.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG094+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.11 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 8 07:27:23 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.52
% 0.18/0.52 SPASS V 3.9
% 0.18/0.52 SPASS beiseite: Proof found.
% 0.18/0.52 % SZS status Theorem
% 0.18/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 113 clauses.
% 0.18/0.52 SPASS allocated 86421 KBytes.
% 0.18/0.52 SPASS spent 0:00:00.19 on the problem.
% 0.18/0.52 0:00:00.04 for the input.
% 0.18/0.52 0:00:00.11 for the FLOTTER CNF translation.
% 0.18/0.52 0:00:00.00 for inferences.
% 0.18/0.52 0:00:00.00 for the backtracking.
% 0.18/0.52 0:00:00.02 for the reduction.
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 Here is a proof with depth 0, length 273 :
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.52 Formulae used in the proof : ax3 ax1 co1 ax2
% 0.18/0.52
%------------------------------------------------------------------------------