TSTP Solution File: ALG090+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG090+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 0.37s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 107
% Syntax : Number of clauses : 283 ( 120 unt; 0 nHn; 283 RR)
% Number of literals : 702 ( 0 equ; 422 neg)
% Maximal clause size : 91 ( 2 avg)
% Maximal term depth : 2 ( 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('ALG090+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(e0,unit)
| skC30 ),
file('ALG090+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e0,e0),e0),
file('ALG090+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e0,e1),e1),
file('ALG090+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e0,e2),e2),
file('ALG090+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e0,e3),e3),
file('ALG090+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e0,e4),e4),
file('ALG090+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e1,e0),e1),
file('ALG090+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e1,e1),e4),
file('ALG090+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e1,e2),e0),
file('ALG090+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e1,e3),e2),
file('ALG090+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e1,e4),e3),
file('ALG090+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e2,e0),e2),
file('ALG090+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e2,e1),e0),
file('ALG090+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e2,e2),e3),
file('ALG090+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e2,e3),e4),
file('ALG090+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e2,e4),e1),
file('ALG090+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e3,e0),e3),
file('ALG090+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e3,e1),e2),
file('ALG090+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e3,e2),e4),
file('ALG090+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e3,e3),e1),
file('ALG090+1.p',unknown),
[] ).
cnf(36,axiom,
equal(op(e3,e4),e0),
file('ALG090+1.p',unknown),
[] ).
cnf(37,axiom,
equal(op(e4,e0),e4),
file('ALG090+1.p',unknown),
[] ).
cnf(38,axiom,
equal(op(e4,e1),e3),
file('ALG090+1.p',unknown),
[] ).
cnf(39,axiom,
equal(op(e4,e2),e1),
file('ALG090+1.p',unknown),
[] ).
cnf(40,axiom,
equal(op(e4,e3),e0),
file('ALG090+1.p',unknown),
[] ).
cnf(41,axiom,
equal(op(e4,e4),e2),
file('ALG090+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ equal(op(e0,e0),e0)
| skC0 ),
file('ALG090+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ equal(op(e3,e3),e1)
| skC1 ),
file('ALG090+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ equal(op(e4,e4),e2)
| skC2 ),
file('ALG090+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ equal(op(e2,e2),e3)
| skC3 ),
file('ALG090+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ equal(op(e1,e1),e4)
| skC4 ),
file('ALG090+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ equal(op(e0,e0),e0)
| skC5 ),
file('ALG090+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ equal(op(e0,e1),e1)
| skC6 ),
file('ALG090+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ equal(op(e0,e2),e2)
| skC7 ),
file('ALG090+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ equal(op(e0,e3),e3)
| skC8 ),
file('ALG090+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ equal(op(e0,e4),e4)
| skC9 ),
file('ALG090+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ equal(op(e1,e0),e1)
| skC10 ),
file('ALG090+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ equal(op(e1,e1),e4)
| skC11 ),
file('ALG090+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ equal(op(e1,e2),e0)
| skC12 ),
file('ALG090+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ equal(op(e1,e3),e2)
| skC13 ),
file('ALG090+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ equal(op(e1,e4),e3)
| skC14 ),
file('ALG090+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ equal(op(e2,e0),e2)
| skC15 ),
file('ALG090+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ equal(op(e2,e1),e0)
| skC16 ),
file('ALG090+1.p',unknown),
[] ).
cnf(130,axiom,
( ~ equal(op(e2,e2),e3)
| skC17 ),
file('ALG090+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ equal(op(e2,e3),e4)
| skC18 ),
file('ALG090+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ equal(op(e2,e4),e1)
| skC19 ),
file('ALG090+1.p',unknown),
[] ).
cnf(145,axiom,
( ~ equal(op(e3,e0),e3)
| skC20 ),
file('ALG090+1.p',unknown),
[] ).
cnf(149,axiom,
( ~ equal(op(e3,e1),e2)
| skC21 ),
file('ALG090+1.p',unknown),
[] ).
cnf(156,axiom,
( ~ equal(op(e3,e2),e4)
| skC22 ),
file('ALG090+1.p',unknown),
[] ).
cnf(158,axiom,
( ~ equal(op(e3,e3),e1)
| skC23 ),
file('ALG090+1.p',unknown),
[] ).
cnf(162,axiom,
( ~ equal(op(e3,e4),e0)
| skC24 ),
file('ALG090+1.p',unknown),
[] ).
cnf(171,axiom,
( ~ equal(op(e4,e0),e4)
| skC25 ),
file('ALG090+1.p',unknown),
[] ).
cnf(175,axiom,
( ~ equal(op(e4,e1),e3)
| skC26 ),
file('ALG090+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ equal(op(e4,e2),e1)
| skC27 ),
file('ALG090+1.p',unknown),
[] ).
cnf(182,axiom,
( ~ equal(op(e4,e3),e0)
| skC28 ),
file('ALG090+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ equal(op(e4,e4),e2)
| skC29 ),
file('ALG090+1.p',unknown),
[] ).
cnf(192,axiom,
( ~ equal(op(e0,e0),e0)
| skC31 ),
file('ALG090+1.p',unknown),
[] ).
cnf(197,axiom,
( ~ equal(op(e0,e0),e0)
| skC32 ),
file('ALG090+1.p',unknown),
[] ).
cnf(203,axiom,
( ~ equal(op(e0,e1),e1)
| skC33 ),
file('ALG090+1.p',unknown),
[] ).
cnf(208,axiom,
( ~ equal(op(e1,e0),e1)
| skC34 ),
file('ALG090+1.p',unknown),
[] ).
cnf(214,axiom,
( ~ equal(op(e0,e2),e2)
| skC35 ),
file('ALG090+1.p',unknown),
[] ).
cnf(219,axiom,
( ~ equal(op(e2,e0),e2)
| skC36 ),
file('ALG090+1.p',unknown),
[] ).
cnf(225,axiom,
( ~ equal(op(e0,e3),e3)
| skC37 ),
file('ALG090+1.p',unknown),
[] ).
cnf(230,axiom,
( ~ equal(op(e3,e0),e3)
| skC38 ),
file('ALG090+1.p',unknown),
[] ).
cnf(236,axiom,
( ~ equal(op(e0,e4),e4)
| skC39 ),
file('ALG090+1.p',unknown),
[] ).
cnf(241,axiom,
( ~ equal(op(e4,e0),e4)
| skC40 ),
file('ALG090+1.p',unknown),
[] ).
cnf(244,axiom,
( ~ equal(op(e1,e2),e0)
| skC41 ),
file('ALG090+1.p',unknown),
[] ).
cnf(249,axiom,
( ~ equal(op(e2,e1),e0)
| skC42 ),
file('ALG090+1.p',unknown),
[] ).
cnf(252,axiom,
( ~ equal(op(e1,e0),e1)
| skC43 ),
file('ALG090+1.p',unknown),
[] ).
cnf(257,axiom,
( ~ equal(op(e0,e1),e1)
| skC44 ),
file('ALG090+1.p',unknown),
[] ).
cnf(265,axiom,
( ~ equal(op(e1,e3),e2)
| skC45 ),
file('ALG090+1.p',unknown),
[] ).
cnf(270,axiom,
( ~ equal(op(e3,e1),e2)
| skC46 ),
file('ALG090+1.p',unknown),
[] ).
cnf(276,axiom,
( ~ equal(op(e1,e4),e3)
| skC47 ),
file('ALG090+1.p',unknown),
[] ).
cnf(281,axiom,
( ~ equal(op(e4,e1),e3)
| skC48 ),
file('ALG090+1.p',unknown),
[] ).
cnf(283,axiom,
( ~ equal(op(e1,e1),e4)
| skC49 ),
file('ALG090+1.p',unknown),
[] ).
cnf(288,axiom,
( ~ equal(op(e1,e1),e4)
| skC50 ),
file('ALG090+1.p',unknown),
[] ).
cnf(293,axiom,
( ~ equal(op(e2,e1),e0)
| skC51 ),
file('ALG090+1.p',unknown),
[] ).
cnf(298,axiom,
( ~ equal(op(e1,e2),e0)
| skC52 ),
file('ALG090+1.p',unknown),
[] ).
cnf(306,axiom,
( ~ equal(op(e2,e4),e1)
| skC53 ),
file('ALG090+1.p',unknown),
[] ).
cnf(311,axiom,
( ~ equal(op(e4,e2),e1)
| skC54 ),
file('ALG090+1.p',unknown),
[] ).
cnf(312,axiom,
( ~ equal(op(e2,e0),e2)
| skC55 ),
file('ALG090+1.p',unknown),
[] ).
cnf(317,axiom,
( ~ equal(op(e0,e2),e2)
| skC56 ),
file('ALG090+1.p',unknown),
[] ).
cnf(324,axiom,
( ~ equal(op(e2,e2),e3)
| skC57 ),
file('ALG090+1.p',unknown),
[] ).
cnf(329,axiom,
( ~ equal(op(e2,e2),e3)
| skC58 ),
file('ALG090+1.p',unknown),
[] ).
cnf(335,axiom,
( ~ equal(op(e2,e3),e4)
| skC59 ),
file('ALG090+1.p',unknown),
[] ).
cnf(340,axiom,
( ~ equal(op(e3,e2),e4)
| skC60 ),
file('ALG090+1.p',unknown),
[] ).
cnf(346,axiom,
( ~ equal(op(e3,e4),e0)
| skC61 ),
file('ALG090+1.p',unknown),
[] ).
cnf(351,axiom,
( ~ equal(op(e4,e3),e0)
| skC62 ),
file('ALG090+1.p',unknown),
[] ).
cnf(355,axiom,
( ~ equal(op(e3,e3),e1)
| skC63 ),
file('ALG090+1.p',unknown),
[] ).
cnf(360,axiom,
( ~ equal(op(e3,e3),e1)
| skC64 ),
file('ALG090+1.p',unknown),
[] ).
cnf(363,axiom,
( ~ equal(op(e3,e1),e2)
| skC65 ),
file('ALG090+1.p',unknown),
[] ).
cnf(368,axiom,
( ~ equal(op(e1,e3),e2)
| skC66 ),
file('ALG090+1.p',unknown),
[] ).
cnf(372,axiom,
( ~ equal(op(e3,e0),e3)
| skC67 ),
file('ALG090+1.p',unknown),
[] ).
cnf(377,axiom,
( ~ equal(op(e0,e3),e3)
| skC68 ),
file('ALG090+1.p',unknown),
[] ).
cnf(384,axiom,
( ~ equal(op(e3,e2),e4)
| skC69 ),
file('ALG090+1.p',unknown),
[] ).
cnf(389,axiom,
( ~ equal(op(e2,e3),e4)
| skC70 ),
file('ALG090+1.p',unknown),
[] ).
cnf(395,axiom,
( ~ equal(op(e4,e3),e0)
| skC71 ),
file('ALG090+1.p',unknown),
[] ).
cnf(400,axiom,
( ~ equal(op(e3,e4),e0)
| skC72 ),
file('ALG090+1.p',unknown),
[] ).
cnf(404,axiom,
( ~ equal(op(e4,e2),e1)
| skC73 ),
file('ALG090+1.p',unknown),
[] ).
cnf(409,axiom,
( ~ equal(op(e2,e4),e1)
| skC74 ),
file('ALG090+1.p',unknown),
[] ).
cnf(416,axiom,
( ~ equal(op(e4,e4),e2)
| skC75 ),
file('ALG090+1.p',unknown),
[] ).
cnf(421,axiom,
( ~ equal(op(e4,e4),e2)
| skC76 ),
file('ALG090+1.p',unknown),
[] ).
cnf(423,axiom,
( ~ equal(op(e4,e1),e3)
| skC77 ),
file('ALG090+1.p',unknown),
[] ).
cnf(428,axiom,
( ~ equal(op(e1,e4),e3)
| skC78 ),
file('ALG090+1.p',unknown),
[] ).
cnf(432,axiom,
( ~ equal(op(e4,e0),e4)
| skC79 ),
file('ALG090+1.p',unknown),
[] ).
cnf(441,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('ALG090+1.p',unknown),
[] ).
cnf(446,plain,
equal(op(e4,e3),unit),
inference(rew,[status(thm),theory(equality)],[1,40]),
[iquote('0:Rew:1.0,40.0')] ).
cnf(447,plain,
equal(op(e4,unit),e4),
inference(rew,[status(thm),theory(equality)],[1,37]),
[iquote('0:Rew:1.0,37.0')] ).
cnf(448,plain,
equal(op(e3,e4),unit),
inference(rew,[status(thm),theory(equality)],[1,36]),
[iquote('0:Rew:1.0,36.0')] ).
cnf(449,plain,
equal(op(e3,unit),e3),
inference(rew,[status(thm),theory(equality)],[1,32]),
[iquote('0:Rew:1.0,32.0')] ).
cnf(450,plain,
equal(op(e2,e1),unit),
inference(rew,[status(thm),theory(equality)],[1,28]),
[iquote('0:Rew:1.0,28.0')] ).
cnf(451,plain,
equal(op(e2,unit),e2),
inference(rew,[status(thm),theory(equality)],[1,27]),
[iquote('0:Rew:1.0,27.0')] ).
cnf(452,plain,
equal(op(e1,e2),unit),
inference(rew,[status(thm),theory(equality)],[1,24]),
[iquote('0:Rew:1.0,24.0')] ).
cnf(453,plain,
equal(op(e1,unit),e1),
inference(rew,[status(thm),theory(equality)],[1,22]),
[iquote('0:Rew:1.0,22.0')] ).
cnf(454,plain,
equal(op(unit,e4),e4),
inference(rew,[status(thm),theory(equality)],[1,21]),
[iquote('0:Rew:1.0,21.0')] ).
cnf(455,plain,
equal(op(unit,e3),e3),
inference(rew,[status(thm),theory(equality)],[1,20]),
[iquote('0:Rew:1.0,20.0')] ).
cnf(456,plain,
equal(op(unit,e2),e2),
inference(rew,[status(thm),theory(equality)],[1,19]),
[iquote('0:Rew:1.0,19.0')] ).
cnf(457,plain,
equal(op(unit,e1),e1),
inference(rew,[status(thm),theory(equality)],[1,18]),
[iquote('0:Rew:1.0,18.0')] ).
cnf(458,plain,
equal(op(unit,unit),unit),
inference(rew,[status(thm),theory(equality)],[1,17]),
[iquote('0:Rew:1.0,17.0')] ).
cnf(459,plain,
( ~ equal(unit,unit)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[1,12]),
[iquote('0:Rew:1.0,12.0')] ).
cnf(460,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[459]),
[iquote('0:Obv:459.0')] ).
cnf(465,plain,
( ~ equal(e4,e4)
| skC79 ),
inference(rew,[status(thm),theory(equality)],[447,432,1]),
[iquote('0:Rew:447.0,432.0,1.0,432.0')] ).
cnf(466,plain,
skC79,
inference(obv,[status(thm),theory(equality)],[465]),
[iquote('0:Obv:465.0')] ).
cnf(470,plain,
( ~ equal(e3,e3)
| skC78 ),
inference(rew,[status(thm),theory(equality)],[26,428]),
[iquote('0:Rew:26.0,428.0')] ).
cnf(471,plain,
skC78,
inference(obv,[status(thm),theory(equality)],[470]),
[iquote('0:Obv:470.0')] ).
cnf(475,plain,
( ~ equal(e3,e3)
| skC77 ),
inference(rew,[status(thm),theory(equality)],[38,423]),
[iquote('0:Rew:38.0,423.0')] ).
cnf(476,plain,
skC77,
inference(obv,[status(thm),theory(equality)],[475]),
[iquote('0:Obv:475.0')] ).
cnf(477,plain,
( ~ equal(e2,e2)
| skC76 ),
inference(rew,[status(thm),theory(equality)],[41,421]),
[iquote('0:Rew:41.0,421.0')] ).
cnf(478,plain,
skC76,
inference(obv,[status(thm),theory(equality)],[477]),
[iquote('0:Obv:477.0')] ).
cnf(479,plain,
( ~ equal(e2,e2)
| skC75 ),
inference(rew,[status(thm),theory(equality)],[41,416]),
[iquote('0:Rew:41.0,416.0')] ).
cnf(480,plain,
skC75,
inference(obv,[status(thm),theory(equality)],[479]),
[iquote('0:Obv:479.0')] ).
cnf(483,plain,
( ~ equal(e1,e1)
| skC74 ),
inference(rew,[status(thm),theory(equality)],[31,409]),
[iquote('0:Rew:31.0,409.0')] ).
cnf(484,plain,
skC74,
inference(obv,[status(thm),theory(equality)],[483]),
[iquote('0:Obv:483.0')] ).
cnf(487,plain,
( ~ equal(e1,e1)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[39,404]),
[iquote('0:Rew:39.0,404.0')] ).
cnf(488,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[487]),
[iquote('0:Obv:487.0')] ).
cnf(490,plain,
( ~ equal(unit,unit)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[448,400,1]),
[iquote('0:Rew:448.0,400.0,1.0,400.0')] ).
cnf(491,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[490]),
[iquote('0:Obv:490.0')] ).
cnf(493,plain,
( ~ equal(unit,unit)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[446,395,1]),
[iquote('0:Rew:446.0,395.0,1.0,395.0')] ).
cnf(494,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[493]),
[iquote('0:Obv:493.0')] ).
cnf(497,plain,
( ~ equal(e4,e4)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[30,389]),
[iquote('0:Rew:30.0,389.0')] ).
cnf(498,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[497]),
[iquote('0:Obv:497.0')] ).
cnf(501,plain,
( ~ equal(e4,e4)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[34,384]),
[iquote('0:Rew:34.0,384.0')] ).
cnf(502,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[501]),
[iquote('0:Obv:501.0')] ).
cnf(507,plain,
( ~ equal(e3,e3)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[455,377,1]),
[iquote('0:Rew:455.0,377.0,1.0,377.0')] ).
cnf(508,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[507]),
[iquote('0:Obv:507.0')] ).
cnf(513,plain,
( ~ equal(e3,e3)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[449,372,1]),
[iquote('0:Rew:449.0,372.0,1.0,372.0')] ).
cnf(514,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[513]),
[iquote('0:Obv:513.0')] ).
cnf(518,plain,
( ~ equal(e2,e2)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[25,368]),
[iquote('0:Rew:25.0,368.0')] ).
cnf(519,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[518]),
[iquote('0:Obv:518.0')] ).
cnf(523,plain,
( ~ equal(e2,e2)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[33,363]),
[iquote('0:Rew:33.0,363.0')] ).
cnf(524,plain,
skC65,
inference(obv,[status(thm),theory(equality)],[523]),
[iquote('0:Obv:523.0')] ).
cnf(526,plain,
( ~ equal(e1,e1)
| skC64 ),
inference(rew,[status(thm),theory(equality)],[35,360]),
[iquote('0:Rew:35.0,360.0')] ).
cnf(527,plain,
skC64,
inference(obv,[status(thm),theory(equality)],[526]),
[iquote('0:Obv:526.0')] ).
cnf(529,plain,
( ~ equal(e1,e1)
| skC63 ),
inference(rew,[status(thm),theory(equality)],[35,355]),
[iquote('0:Rew:35.0,355.0')] ).
cnf(530,plain,
skC63,
inference(obv,[status(thm),theory(equality)],[529]),
[iquote('0:Obv:529.0')] ).
cnf(531,plain,
( ~ equal(unit,unit)
| skC62 ),
inference(rew,[status(thm),theory(equality)],[446,351,1]),
[iquote('0:Rew:446.0,351.0,1.0,351.0')] ).
cnf(532,plain,
skC62,
inference(obv,[status(thm),theory(equality)],[531]),
[iquote('0:Obv:531.0')] ).
cnf(533,plain,
( ~ equal(unit,unit)
| skC61 ),
inference(rew,[status(thm),theory(equality)],[448,346,1]),
[iquote('0:Rew:448.0,346.0,1.0,346.0')] ).
cnf(534,plain,
skC61,
inference(obv,[status(thm),theory(equality)],[533]),
[iquote('0:Obv:533.0')] ).
cnf(536,plain,
( ~ equal(e4,e4)
| skC60 ),
inference(rew,[status(thm),theory(equality)],[34,340]),
[iquote('0:Rew:34.0,340.0')] ).
cnf(537,plain,
skC60,
inference(obv,[status(thm),theory(equality)],[536]),
[iquote('0:Obv:536.0')] ).
cnf(539,plain,
( ~ equal(e4,e4)
| skC59 ),
inference(rew,[status(thm),theory(equality)],[30,335]),
[iquote('0:Rew:30.0,335.0')] ).
cnf(540,plain,
skC59,
inference(obv,[status(thm),theory(equality)],[539]),
[iquote('0:Obv:539.0')] ).
cnf(543,plain,
( ~ equal(e3,e3)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[29,329]),
[iquote('0:Rew:29.0,329.0')] ).
cnf(544,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[543]),
[iquote('0:Obv:543.0')] ).
cnf(547,plain,
( ~ equal(e3,e3)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[29,324]),
[iquote('0:Rew:29.0,324.0')] ).
cnf(548,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[547]),
[iquote('0:Obv:547.0')] ).
cnf(553,plain,
( ~ equal(e2,e2)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[456,317,1]),
[iquote('0:Rew:456.0,317.0,1.0,317.0')] ).
cnf(554,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[553]),
[iquote('0:Obv:553.0')] ).
cnf(559,plain,
( ~ equal(e2,e2)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[451,312,1]),
[iquote('0:Rew:451.0,312.0,1.0,312.0')] ).
cnf(560,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[559]),
[iquote('0:Obv:559.0')] ).
cnf(561,plain,
( ~ equal(e1,e1)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[39,311]),
[iquote('0:Rew:39.0,311.0')] ).
cnf(562,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[561]),
[iquote('0:Obv:561.0')] ).
cnf(563,plain,
( ~ equal(e1,e1)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[31,306]),
[iquote('0:Rew:31.0,306.0')] ).
cnf(564,plain,
skC53,
inference(obv,[status(thm),theory(equality)],[563]),
[iquote('0:Obv:563.0')] ).
cnf(568,plain,
( ~ equal(unit,unit)
| skC52 ),
inference(rew,[status(thm),theory(equality)],[452,298,1]),
[iquote('0:Rew:452.0,298.0,1.0,298.0')] ).
cnf(569,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[568]),
[iquote('0:Obv:568.0')] ).
cnf(573,plain,
( ~ equal(unit,unit)
| skC51 ),
inference(rew,[status(thm),theory(equality)],[450,293,1]),
[iquote('0:Rew:450.0,293.0,1.0,293.0')] ).
cnf(574,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[573]),
[iquote('0:Obv:573.0')] ).
cnf(578,plain,
( ~ equal(e4,e4)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[23,288]),
[iquote('0:Rew:23.0,288.0')] ).
cnf(579,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[578]),
[iquote('0:Obv:578.0')] ).
cnf(583,plain,
( ~ equal(e4,e4)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[23,283]),
[iquote('0:Rew:23.0,283.0')] ).
cnf(584,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[583]),
[iquote('0:Obv:583.0')] ).
cnf(585,plain,
( ~ equal(e3,e3)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[38,281]),
[iquote('0:Rew:38.0,281.0')] ).
cnf(586,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[585]),
[iquote('0:Obv:585.0')] ).
cnf(587,plain,
( ~ equal(e3,e3)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[26,276]),
[iquote('0:Rew:26.0,276.0')] ).
cnf(588,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[587]),
[iquote('0:Obv:587.0')] ).
cnf(590,plain,
( ~ equal(e2,e2)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[33,270]),
[iquote('0:Rew:33.0,270.0')] ).
cnf(591,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[590]),
[iquote('0:Obv:590.0')] ).
cnf(593,plain,
( ~ equal(e2,e2)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[25,265]),
[iquote('0:Rew:25.0,265.0')] ).
cnf(594,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[593]),
[iquote('0:Obv:593.0')] ).
cnf(599,plain,
( ~ equal(e1,e1)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[457,257,1]),
[iquote('0:Rew:457.0,257.0,1.0,257.0')] ).
cnf(600,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[599]),
[iquote('0:Obv:599.0')] ).
cnf(605,plain,
( ~ equal(e1,e1)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[453,252,1]),
[iquote('0:Rew:453.0,252.0,1.0,252.0')] ).
cnf(606,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[605]),
[iquote('0:Obv:605.0')] ).
cnf(609,plain,
( ~ equal(unit,unit)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[450,249,1]),
[iquote('0:Rew:450.0,249.0,1.0,249.0')] ).
cnf(610,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[609]),
[iquote('0:Obv:609.0')] ).
cnf(613,plain,
( ~ equal(unit,unit)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[452,244,1]),
[iquote('0:Rew:452.0,244.0,1.0,244.0')] ).
cnf(614,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[613]),
[iquote('0:Obv:613.0')] ).
cnf(615,plain,
( ~ equal(e4,e4)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[447,241,1]),
[iquote('0:Rew:447.0,241.0,1.0,241.0')] ).
cnf(616,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[615]),
[iquote('0:Obv:615.0')] ).
cnf(617,plain,
( ~ equal(e4,e4)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[454,236,1]),
[iquote('0:Rew:454.0,236.0,1.0,236.0')] ).
cnf(618,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[617]),
[iquote('0:Obv:617.0')] ).
cnf(620,plain,
( ~ equal(e3,e3)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[449,230,1]),
[iquote('0:Rew:449.0,230.0,1.0,230.0')] ).
cnf(621,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[620]),
[iquote('0:Obv:620.0')] ).
cnf(623,plain,
( ~ equal(e3,e3)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[455,225,1]),
[iquote('0:Rew:455.0,225.0,1.0,225.0')] ).
cnf(624,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[623]),
[iquote('0:Obv:623.0')] ).
cnf(627,plain,
( ~ equal(e2,e2)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[451,219,1]),
[iquote('0:Rew:451.0,219.0,1.0,219.0')] ).
cnf(628,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[627]),
[iquote('0:Obv:627.0')] ).
cnf(631,plain,
( ~ equal(e2,e2)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[456,214,1]),
[iquote('0:Rew:456.0,214.0,1.0,214.0')] ).
cnf(632,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[631]),
[iquote('0:Obv:631.0')] ).
cnf(636,plain,
( ~ equal(e1,e1)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[453,208,1]),
[iquote('0:Rew:453.0,208.0,1.0,208.0')] ).
cnf(637,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[636]),
[iquote('0:Obv:636.0')] ).
cnf(641,plain,
( ~ equal(e1,e1)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[457,203,1]),
[iquote('0:Rew:457.0,203.0,1.0,203.0')] ).
cnf(642,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[641]),
[iquote('0:Obv:641.0')] ).
cnf(647,plain,
( ~ equal(unit,unit)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[458,197,1]),
[iquote('0:Rew:458.0,197.0,1.0,197.0')] ).
cnf(648,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[647]),
[iquote('0:Obv:647.0')] ).
cnf(653,plain,
( ~ equal(unit,unit)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[458,192,1]),
[iquote('0:Rew:458.0,192.0,1.0,192.0')] ).
cnf(654,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[653]),
[iquote('0:Obv:653.0')] ).
cnf(657,plain,
( ~ equal(e2,e2)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[41,189]),
[iquote('0:Rew:41.0,189.0')] ).
cnf(658,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[657]),
[iquote('0:Obv:657.0')] ).
cnf(663,plain,
( ~ equal(unit,unit)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[446,182,1]),
[iquote('0:Rew:446.0,182.0,1.0,182.0')] ).
cnf(664,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[663]),
[iquote('0:Obv:663.0')] ).
cnf(668,plain,
( ~ equal(e1,e1)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[39,178]),
[iquote('0:Rew:39.0,178.0')] ).
cnf(669,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[668]),
[iquote('0:Obv:668.0')] ).
cnf(671,plain,
( ~ equal(e3,e3)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[38,175]),
[iquote('0:Rew:38.0,175.0')] ).
cnf(672,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[671]),
[iquote('0:Obv:671.0')] ).
cnf(673,plain,
( ~ equal(e4,e4)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[447,171,1]),
[iquote('0:Rew:447.0,171.0,1.0,171.0')] ).
cnf(674,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[673]),
[iquote('0:Obv:673.0')] ).
cnf(679,plain,
( ~ equal(unit,unit)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[448,162,1]),
[iquote('0:Rew:448.0,162.0,1.0,162.0')] ).
cnf(680,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[679]),
[iquote('0:Obv:679.0')] ).
cnf(684,plain,
( ~ equal(e1,e1)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[35,158]),
[iquote('0:Rew:35.0,158.0')] ).
cnf(685,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[684]),
[iquote('0:Obv:684.0')] ).
cnf(686,plain,
( ~ equal(e4,e4)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[34,156]),
[iquote('0:Rew:34.0,156.0')] ).
cnf(687,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[686]),
[iquote('0:Obv:686.0')] ).
cnf(690,plain,
( ~ equal(e2,e2)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[33,149]),
[iquote('0:Rew:33.0,149.0')] ).
cnf(691,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[690]),
[iquote('0:Obv:690.0')] ).
cnf(693,plain,
( ~ equal(e3,e3)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[449,145,1]),
[iquote('0:Rew:449.0,145.0,1.0,145.0')] ).
cnf(694,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[693]),
[iquote('0:Obv:693.0')] ).
cnf(698,plain,
( ~ equal(e1,e1)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[31,138]),
[iquote('0:Rew:31.0,138.0')] ).
cnf(699,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[698]),
[iquote('0:Obv:698.0')] ).
cnf(700,plain,
( ~ equal(e4,e4)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[30,136]),
[iquote('0:Rew:30.0,136.0')] ).
cnf(701,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[700]),
[iquote('0:Obv:700.0')] ).
cnf(703,plain,
( ~ equal(e3,e3)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[29,130]),
[iquote('0:Rew:29.0,130.0')] ).
cnf(704,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[703]),
[iquote('0:Obv:703.0')] ).
cnf(709,plain,
( ~ equal(unit,unit)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[450,122,1]),
[iquote('0:Rew:450.0,122.0,1.0,122.0')] ).
cnf(710,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[709]),
[iquote('0:Obv:709.0')] ).
cnf(713,plain,
( ~ equal(e2,e2)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[451,119,1]),
[iquote('0:Rew:451.0,119.0,1.0,119.0')] ).
cnf(714,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[713]),
[iquote('0:Obv:713.0')] ).
cnf(716,plain,
( ~ equal(e3,e3)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[26,115]),
[iquote('0:Rew:26.0,115.0')] ).
cnf(717,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[716]),
[iquote('0:Obv:716.0')] ).
cnf(720,plain,
( ~ equal(e2,e2)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[25,109]),
[iquote('0:Rew:25.0,109.0')] ).
cnf(721,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[720]),
[iquote('0:Obv:720.0')] ).
cnf(726,plain,
( ~ equal(unit,unit)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[452,102,1]),
[iquote('0:Rew:452.0,102.0,1.0,102.0')] ).
cnf(727,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[726]),
[iquote('0:Obv:726.0')] ).
cnf(728,plain,
( ~ equal(e4,e4)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[23,101]),
[iquote('0:Rew:23.0,101.0')] ).
cnf(729,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[728]),
[iquote('0:Obv:728.0')] ).
cnf(733,plain,
( ~ equal(e1,e1)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[453,93,1]),
[iquote('0:Rew:453.0,93.0,1.0,93.0')] ).
cnf(734,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[733]),
[iquote('0:Obv:733.0')] ).
cnf(735,plain,
( ~ equal(e4,e4)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[454,91,1]),
[iquote('0:Rew:454.0,91.0,1.0,91.0')] ).
cnf(736,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[735]),
[iquote('0:Obv:735.0')] ).
cnf(738,plain,
( ~ equal(e3,e3)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[455,85,1]),
[iquote('0:Rew:455.0,85.0,1.0,85.0')] ).
cnf(739,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[738]),
[iquote('0:Obv:738.0')] ).
cnf(742,plain,
( ~ equal(e2,e2)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[456,79,1]),
[iquote('0:Rew:456.0,79.0,1.0,79.0')] ).
cnf(743,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[742]),
[iquote('0:Obv:742.0')] ).
cnf(747,plain,
( ~ equal(e1,e1)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[457,73,1]),
[iquote('0:Rew:457.0,73.0,1.0,73.0')] ).
cnf(748,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[747]),
[iquote('0:Obv:747.0')] ).
cnf(753,plain,
( ~ equal(unit,unit)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[458,67,1]),
[iquote('0:Rew:458.0,67.0,1.0,67.0')] ).
cnf(754,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[753]),
[iquote('0:Obv:753.0')] ).
cnf(758,plain,
( ~ equal(e4,e4)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[23,63]),
[iquote('0:Rew:23.0,63.0')] ).
cnf(759,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[758]),
[iquote('0:Obv:758.0')] ).
cnf(762,plain,
( ~ equal(e3,e3)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[29,59]),
[iquote('0:Rew:29.0,59.0')] ).
cnf(763,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[762]),
[iquote('0:Obv:762.0')] ).
cnf(764,plain,
( ~ equal(e2,e2)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[41,56]),
[iquote('0:Rew:41.0,56.0')] ).
cnf(765,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[764]),
[iquote('0:Obv:764.0')] ).
cnf(767,plain,
( ~ equal(e1,e1)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[35,50]),
[iquote('0:Rew:35.0,50.0')] ).
cnf(768,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[767]),
[iquote('0:Obv:767.0')] ).
cnf(773,plain,
( ~ equal(unit,unit)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[458,42,1]),
[iquote('0:Rew:458.0,42.0,1.0,42.0')] ).
cnf(774,plain,
skC0,
inference(obv,[status(thm),theory(equality)],[773]),
[iquote('0:Obv:773.0')] ).
cnf(783,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)],[447,441,454,449,455,451,456,453,457,458,1]),
[iquote('0:Rew:447.0,441.40,454.0,441.39,449.0,441.38,455.0,441.37,451.0,441.36,456.0,441.35,453.0,441.34,457.0,441.33,458.0,441.32,1.0,441.32,458.0,441.31,1.0,441.31,454.0,441.0,1.0,441.0')] ).
cnf(784,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)],[783]),
[iquote('0:Obv:783.40')] ).
cnf(785,plain,
$false,
inference(mrr,[status(thm)],[784,774,768,765,763,759,754,748,743,739,736,734,729,727,721,717,714,710,704,701,699,694,691,687,685,680,674,672,669,664,658,460,654,648,642,637,632,628,624,621,618,616,614,610,606,600,594,591,588,586,584,579,574,569,564,562,560,554,548,544,540,537,534,532,530,527,524,519,514,508,502,498,494,491,488,484,480,478,476,471,466]),
[iquote('0:MRR:784.0,784.1,784.2,784.3,784.4,784.5,784.6,784.7,784.8,784.9,784.10,784.11,784.12,784.13,784.14,784.15,784.16,784.17,784.18,784.19,784.20,784.21,784.22,784.23,784.24,784.25,784.26,784.27,784.28,784.29,784.30,784.31,784.32,784.33,784.34,784.35,784.36,784.37,784.38,784.39,784.40,784.41,784.42,784.43,784.44,784.45,784.46,784.47,784.48,784.49,784.50,784.51,784.52,784.53,784.54,784.55,784.56,784.57,784.58,784.59,784.60,784.61,784.62,784.63,784.64,784.65,784.66,784.67,784.68,784.69,784.70,784.71,784.72,784.73,784.74,784.75,784.76,784.77,784.78,784.79,774.0,768.0,765.0,763.0,759.0,754.0,748.0,743.0,739.0,736.0,734.0,729.0,727.0,721.0,717.0,714.0,710.0,704.0,701.0,699.0,694.0,691.0,687.0,685.0,680.0,674.0,672.0,669.0,664.0,658.0,460.0,654.0,648.0,642.0,637.0,632.0,628.0,624.0,621.0,618.0,616.0,614.0,610.0,606.0,600.0,594.0,591.0,588.0,586.0,584.0,579.0,574.0,569.0,564.0,562.0,560.0,554.0,548.0,544.0,540.0,537.0,534.0,532.0,530.0,527.0,524.0,519.0,514.0,508.0,502.0,498.0,494.0,491.0,488.0,484.0,480.0,478.0,476.0,471.0,466.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG090+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 18:00:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/0.55
% 0.37/0.55 SPASS V 3.9
% 0.37/0.55 SPASS beiseite: Proof found.
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 117 clauses.
% 0.37/0.55 SPASS allocated 86398 KBytes.
% 0.37/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.37/0.55 0:00:00.04 for the input.
% 0.37/0.55 0:00:00.12 for the FLOTTER CNF translation.
% 0.37/0.55 0:00:00.00 for inferences.
% 0.37/0.55 0:00:00.00 for the backtracking.
% 0.37/0.55 0:00:00.02 for the reduction.
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Here is a proof with depth 0, length 283 :
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.39/0.55 Formulae used in the proof : ax3 co1 ax2
% 0.39/0.55
%------------------------------------------------------------------------------