TSTP Solution File: ALG188+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG188+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 18:02:51 EDT 2022
% Result : Theorem 0.20s 0.59s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 100
% Syntax : Number of clauses : 251 ( 100 unt; 0 nHn; 251 RR)
% Number of literals : 720 ( 0 equ; 472 neg)
% Maximal clause size : 125 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 76 ( 75 usr; 75 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
equal(op(e0,e0),e0),
file('ALG188+1.p',unknown),
[] ).
cnf(12,axiom,
equal(op(e0,e1),e3),
file('ALG188+1.p',unknown),
[] ).
cnf(13,axiom,
equal(op(e0,e2),e4),
file('ALG188+1.p',unknown),
[] ).
cnf(14,axiom,
equal(op(e0,e3),e1),
file('ALG188+1.p',unknown),
[] ).
cnf(15,axiom,
equal(op(e0,e4),e2),
file('ALG188+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e1,e0),e4),
file('ALG188+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e1,e1),e1),
file('ALG188+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e1,e2),e3),
file('ALG188+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e1,e3),e2),
file('ALG188+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e1,e4),e0),
file('ALG188+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e2,e0),e1),
file('ALG188+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e2,e1),e0),
file('ALG188+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e2,e2),e2),
file('ALG188+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e2,e3),e4),
file('ALG188+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e2,e4),e3),
file('ALG188+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e3,e0),e2),
file('ALG188+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e3,e1),e4),
file('ALG188+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e3,e2),e0),
file('ALG188+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e3,e3),e3),
file('ALG188+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e3,e4),e1),
file('ALG188+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e4,e0),e3),
file('ALG188+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e4,e1),e2),
file('ALG188+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e4,e2),e1),
file('ALG188+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e4,e3),e0),
file('ALG188+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e4,e4),e4),
file('ALG188+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ equal(op(e0,e0),e0)
| skC0 ),
file('ALG188+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ equal(op(e0,e1),e3)
| skC1 ),
file('ALG188+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ equal(op(e0,e2),e4)
| skC2 ),
file('ALG188+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ equal(op(e0,e3),e1)
| skC3 ),
file('ALG188+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ equal(op(e0,e4),e2)
| skC4 ),
file('ALG188+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ equal(op(e1,e0),e4)
| skC5 ),
file('ALG188+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ equal(op(e1,e1),e1)
| skC6 ),
file('ALG188+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ equal(op(e1,e2),e3)
| skC7 ),
file('ALG188+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ equal(op(e1,e3),e2)
| skC8 ),
file('ALG188+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ equal(op(e1,e4),e0)
| skC9 ),
file('ALG188+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ equal(op(e2,e0),e1)
| skC10 ),
file('ALG188+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ equal(op(e2,e1),e0)
| skC11 ),
file('ALG188+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ equal(op(e2,e2),e2)
| skC12 ),
file('ALG188+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ equal(op(e2,e3),e4)
| skC13 ),
file('ALG188+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ equal(op(e2,e4),e3)
| skC14 ),
file('ALG188+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ equal(op(e3,e0),e2)
| skC15 ),
file('ALG188+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ equal(op(e3,e1),e4)
| skC16 ),
file('ALG188+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ equal(op(e3,e2),e0)
| skC17 ),
file('ALG188+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ equal(op(e3,e3),e3)
| skC18 ),
file('ALG188+1.p',unknown),
[] ).
cnf(132,axiom,
( ~ equal(op(e3,e4),e1)
| skC19 ),
file('ALG188+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ equal(op(e4,e0),e3)
| skC20 ),
file('ALG188+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ equal(op(e4,e1),e2)
| skC21 ),
file('ALG188+1.p',unknown),
[] ).
cnf(147,axiom,
( ~ equal(op(e4,e2),e1)
| skC22 ),
file('ALG188+1.p',unknown),
[] ).
cnf(151,axiom,
( ~ equal(op(e4,e3),e0)
| skC23 ),
file('ALG188+1.p',unknown),
[] ).
cnf(160,axiom,
( ~ equal(op(e4,e4),e4)
| skC24 ),
file('ALG188+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ equal(op(e0,e0),e0)
| skC25 ),
file('ALG188+1.p',unknown),
[] ).
cnf(166,axiom,
( ~ equal(op(e0,e0),e0)
| skC26 ),
file('ALG188+1.p',unknown),
[] ).
cnf(174,axiom,
( ~ equal(op(e0,e3),e1)
| skC27 ),
file('ALG188+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ equal(op(e2,e0),e1)
| skC28 ),
file('ALG188+1.p',unknown),
[] ).
cnf(185,axiom,
( ~ equal(op(e0,e4),e2)
| skC29 ),
file('ALG188+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ equal(op(e3,e0),e2)
| skC30 ),
file('ALG188+1.p',unknown),
[] ).
cnf(192,axiom,
( ~ equal(op(e0,e1),e3)
| skC31 ),
file('ALG188+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ equal(op(e4,e0),e3)
| skC32 ),
file('ALG188+1.p',unknown),
[] ).
cnf(203,axiom,
( ~ equal(op(e0,e2),e4)
| skC33 ),
file('ALG188+1.p',unknown),
[] ).
cnf(207,axiom,
( ~ equal(op(e1,e0),e4)
| skC34 ),
file('ALG188+1.p',unknown),
[] ).
cnf(215,axiom,
( ~ equal(op(e1,e4),e0)
| skC35 ),
file('ALG188+1.p',unknown),
[] ).
cnf(218,axiom,
( ~ equal(op(e2,e1),e0)
| skC36 ),
file('ALG188+1.p',unknown),
[] ).
cnf(222,axiom,
( ~ equal(op(e1,e1),e1)
| skC37 ),
file('ALG188+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ equal(op(e1,e1),e1)
| skC38 ),
file('ALG188+1.p',unknown),
[] ).
cnf(234,axiom,
( ~ equal(op(e1,e3),e2)
| skC39 ),
file('ALG188+1.p',unknown),
[] ).
cnf(240,axiom,
( ~ equal(op(e4,e1),e2)
| skC40 ),
file('ALG188+1.p',unknown),
[] ).
cnf(243,axiom,
( ~ equal(op(e1,e2),e3)
| skC41 ),
file('ALG188+1.p',unknown),
[] ).
cnf(246,axiom,
( ~ equal(op(e0,e1),e3)
| skC42 ),
file('ALG188+1.p',unknown),
[] ).
cnf(251,axiom,
( ~ equal(op(e1,e0),e4)
| skC43 ),
file('ALG188+1.p',unknown),
[] ).
cnf(259,axiom,
( ~ equal(op(e3,e1),e4)
| skC44 ),
file('ALG188+1.p',unknown),
[] ).
cnf(262,axiom,
( ~ equal(op(e2,e1),e0)
| skC45 ),
file('ALG188+1.p',unknown),
[] ).
cnf(269,axiom,
( ~ equal(op(e3,e2),e0)
| skC46 ),
file('ALG188+1.p',unknown),
[] ).
cnf(271,axiom,
( ~ equal(op(e2,e0),e1)
| skC47 ),
file('ALG188+1.p',unknown),
[] ).
cnf(280,axiom,
( ~ equal(op(e4,e2),e1)
| skC48 ),
file('ALG188+1.p',unknown),
[] ).
cnf(283,axiom,
( ~ equal(op(e2,e2),e2)
| skC49 ),
file('ALG188+1.p',unknown),
[] ).
cnf(288,axiom,
( ~ equal(op(e2,e2),e2)
| skC50 ),
file('ALG188+1.p',unknown),
[] ).
cnf(295,axiom,
( ~ equal(op(e2,e4),e3)
| skC51 ),
file('ALG188+1.p',unknown),
[] ).
cnf(297,axiom,
( ~ equal(op(e1,e2),e3)
| skC52 ),
file('ALG188+1.p',unknown),
[] ).
cnf(304,axiom,
( ~ equal(op(e2,e3),e4)
| skC53 ),
file('ALG188+1.p',unknown),
[] ).
cnf(306,axiom,
( ~ equal(op(e0,e2),e4)
| skC54 ),
file('ALG188+1.p',unknown),
[] ).
cnf(313,axiom,
( ~ equal(op(e3,e2),e0)
| skC55 ),
file('ALG188+1.p',unknown),
[] ).
cnf(320,axiom,
( ~ equal(op(e4,e3),e0)
| skC56 ),
file('ALG188+1.p',unknown),
[] ).
cnf(325,axiom,
( ~ equal(op(e3,e4),e1)
| skC57 ),
file('ALG188+1.p',unknown),
[] ).
cnf(326,axiom,
( ~ equal(op(e0,e3),e1)
| skC58 ),
file('ALG188+1.p',unknown),
[] ).
cnf(331,axiom,
( ~ equal(op(e3,e0),e2)
| skC59 ),
file('ALG188+1.p',unknown),
[] ).
cnf(337,axiom,
( ~ equal(op(e1,e3),e2)
| skC60 ),
file('ALG188+1.p',unknown),
[] ).
cnf(344,axiom,
( ~ equal(op(e3,e3),e3)
| skC61 ),
file('ALG188+1.p',unknown),
[] ).
cnf(349,axiom,
( ~ equal(op(e3,e3),e3)
| skC62 ),
file('ALG188+1.p',unknown),
[] ).
cnf(352,axiom,
( ~ equal(op(e3,e1),e4)
| skC63 ),
file('ALG188+1.p',unknown),
[] ).
cnf(358,axiom,
( ~ equal(op(e2,e3),e4)
| skC64 ),
file('ALG188+1.p',unknown),
[] ).
cnf(364,axiom,
( ~ equal(op(e4,e3),e0)
| skC65 ),
file('ALG188+1.p',unknown),
[] ).
cnf(367,axiom,
( ~ equal(op(e1,e4),e0)
| skC66 ),
file('ALG188+1.p',unknown),
[] ).
cnf(373,axiom,
( ~ equal(op(e4,e2),e1)
| skC67 ),
file('ALG188+1.p',unknown),
[] ).
cnf(379,axiom,
( ~ equal(op(e3,e4),e1)
| skC68 ),
file('ALG188+1.p',unknown),
[] ).
cnf(382,axiom,
( ~ equal(op(e4,e1),e2)
| skC69 ),
file('ALG188+1.p',unknown),
[] ).
cnf(386,axiom,
( ~ equal(op(e0,e4),e2)
| skC70 ),
file('ALG188+1.p',unknown),
[] ).
cnf(391,axiom,
( ~ equal(op(e4,e0),e3)
| skC71 ),
file('ALG188+1.p',unknown),
[] ).
cnf(398,axiom,
( ~ equal(op(e2,e4),e3)
| skC72 ),
file('ALG188+1.p',unknown),
[] ).
cnf(405,axiom,
( ~ equal(op(e4,e4),e4)
| skC73 ),
file('ALG188+1.p',unknown),
[] ).
cnf(406,axiom,
( ~ equal(op(e4,e4),e4)
| ~ equal(op(e0,op(e0,e0)),e0)
| ~ equal(op(e0,op(e0,e1)),e1)
| ~ equal(op(e0,op(e0,e2)),e2)
| ~ equal(op(e0,op(e0,e3)),e3)
| ~ equal(op(e0,op(e0,e4)),e4)
| ~ equal(op(e1,op(e1,e0)),e0)
| ~ equal(op(e1,op(e1,e1)),e1)
| ~ equal(op(e1,op(e1,e2)),e2)
| ~ equal(op(e1,op(e1,e3)),e3)
| ~ equal(op(e1,op(e1,e4)),e4)
| ~ equal(op(e2,op(e2,e0)),e0)
| ~ equal(op(e2,op(e2,e1)),e1)
| ~ equal(op(e2,op(e2,e2)),e2)
| ~ equal(op(e2,op(e2,e3)),e3)
| ~ equal(op(e2,op(e2,e4)),e4)
| ~ equal(op(e3,op(e3,e0)),e0)
| ~ equal(op(e3,op(e3,e1)),e1)
| ~ equal(op(e3,op(e3,e2)),e2)
| ~ equal(op(e3,op(e3,e3)),e3)
| ~ equal(op(e3,op(e3,e4)),e4)
| ~ equal(op(e4,op(e4,e0)),e0)
| ~ equal(op(e4,op(e4,e1)),e1)
| ~ equal(op(e4,op(e4,e2)),e2)
| ~ equal(op(e4,op(e4,e3)),e3)
| ~ equal(op(e4,op(e4,e4)),e4)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48
| ~ skC49
| ~ skC50
| ~ skC51
| ~ skC52
| ~ skC53
| ~ skC54
| ~ skC55
| ~ skC56
| ~ skC57
| ~ skC58
| ~ skC59
| ~ skC60
| ~ skC61
| ~ skC62
| ~ skC63
| ~ skC64
| ~ skC65
| ~ skC66
| ~ skC67
| ~ skC68
| ~ skC69
| ~ skC70
| ~ skC71
| ~ skC72
| ~ skC73
| ~ equal(op(op(e0,e0),op(e0,e0)),e0)
| ~ equal(op(op(e1,e0),op(e0,e1)),e0)
| ~ equal(op(op(e2,e0),op(e0,e2)),e0)
| ~ equal(op(op(e3,e0),op(e0,e3)),e0)
| ~ equal(op(op(e4,e0),op(e0,e4)),e0)
| ~ equal(op(op(e0,e1),op(e1,e0)),e1)
| ~ equal(op(op(e1,e1),op(e1,e1)),e1)
| ~ equal(op(op(e2,e1),op(e1,e2)),e1)
| ~ equal(op(op(e3,e1),op(e1,e3)),e1)
| ~ equal(op(op(e4,e1),op(e1,e4)),e1)
| ~ equal(op(op(e0,e2),op(e2,e0)),e2)
| ~ equal(op(op(e1,e2),op(e2,e1)),e2)
| ~ equal(op(op(e2,e2),op(e2,e2)),e2)
| ~ equal(op(op(e3,e2),op(e2,e3)),e2)
| ~ equal(op(op(e4,e2),op(e2,e4)),e2)
| ~ equal(op(op(e0,e3),op(e3,e0)),e3)
| ~ equal(op(op(e1,e3),op(e3,e1)),e3)
| ~ equal(op(op(e2,e3),op(e3,e2)),e3)
| ~ equal(op(op(e3,e3),op(e3,e3)),e3)
| ~ equal(op(op(e4,e3),op(e3,e4)),e3)
| ~ equal(op(op(e0,e4),op(e4,e0)),e4)
| ~ equal(op(op(e1,e4),op(e4,e1)),e4)
| ~ equal(op(op(e2,e4),op(e4,e2)),e4)
| ~ equal(op(op(e3,e4),op(e4,e3)),e4)
| ~ equal(op(op(e4,e4),op(e4,e4)),e4) ),
file('ALG188+1.p',unknown),
[] ).
cnf(411,plain,
( ~ equal(e4,e4)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[35,405]),
[iquote('0:Rew:35.0,405.0')] ).
cnf(412,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[411]),
[iquote('0:Obv:411.0')] ).
cnf(415,plain,
( ~ equal(e3,e3)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[25,398]),
[iquote('0:Rew:25.0,398.0')] ).
cnf(416,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[415]),
[iquote('0:Obv:415.0')] ).
cnf(421,plain,
( ~ equal(e3,e3)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[31,391]),
[iquote('0:Rew:31.0,391.0')] ).
cnf(422,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[421]),
[iquote('0:Obv:421.0')] ).
cnf(427,plain,
( ~ equal(e2,e2)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[15,386]),
[iquote('0:Rew:15.0,386.0')] ).
cnf(428,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[427]),
[iquote('0:Obv:427.0')] ).
cnf(432,plain,
( ~ equal(e2,e2)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[32,382]),
[iquote('0:Rew:32.0,382.0')] ).
cnf(433,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[432]),
[iquote('0:Obv:432.0')] ).
cnf(435,plain,
( ~ equal(e1,e1)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[30,379]),
[iquote('0:Rew:30.0,379.0')] ).
cnf(436,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[435]),
[iquote('0:Obv:435.0')] ).
cnf(439,plain,
( ~ equal(e1,e1)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[33,373]),
[iquote('0:Rew:33.0,373.0')] ).
cnf(440,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[439]),
[iquote('0:Obv:439.0')] ).
cnf(444,plain,
( ~ equal(e0,e0)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[20,367]),
[iquote('0:Rew:20.0,367.0')] ).
cnf(445,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[444]),
[iquote('0:Obv:444.0')] ).
cnf(447,plain,
( ~ equal(e0,e0)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[34,364]),
[iquote('0:Rew:34.0,364.0')] ).
cnf(448,plain,
skC65,
inference(obv,[status(thm),theory(equality)],[447]),
[iquote('0:Obv:447.0')] ).
cnf(451,plain,
( ~ equal(e4,e4)
| skC64 ),
inference(rew,[status(thm),theory(equality)],[24,358]),
[iquote('0:Rew:24.0,358.0')] ).
cnf(452,plain,
skC64,
inference(obv,[status(thm),theory(equality)],[451]),
[iquote('0:Obv:451.0')] ).
cnf(456,plain,
( ~ equal(e4,e4)
| skC63 ),
inference(rew,[status(thm),theory(equality)],[27,352]),
[iquote('0:Rew:27.0,352.0')] ).
cnf(457,plain,
skC63,
inference(obv,[status(thm),theory(equality)],[456]),
[iquote('0:Obv:456.0')] ).
cnf(459,plain,
( ~ equal(e3,e3)
| skC62 ),
inference(rew,[status(thm),theory(equality)],[29,349]),
[iquote('0:Rew:29.0,349.0')] ).
cnf(460,plain,
skC62,
inference(obv,[status(thm),theory(equality)],[459]),
[iquote('0:Obv:459.0')] ).
cnf(462,plain,
( ~ equal(e3,e3)
| skC61 ),
inference(rew,[status(thm),theory(equality)],[29,344]),
[iquote('0:Rew:29.0,344.0')] ).
cnf(463,plain,
skC61,
inference(obv,[status(thm),theory(equality)],[462]),
[iquote('0:Obv:462.0')] ).
cnf(467,plain,
( ~ equal(e2,e2)
| skC60 ),
inference(rew,[status(thm),theory(equality)],[19,337]),
[iquote('0:Rew:19.0,337.0')] ).
cnf(468,plain,
skC60,
inference(obv,[status(thm),theory(equality)],[467]),
[iquote('0:Obv:467.0')] ).
cnf(473,plain,
( ~ equal(e2,e2)
| skC59 ),
inference(rew,[status(thm),theory(equality)],[26,331]),
[iquote('0:Rew:26.0,331.0')] ).
cnf(474,plain,
skC59,
inference(obv,[status(thm),theory(equality)],[473]),
[iquote('0:Obv:473.0')] ).
cnf(479,plain,
( ~ equal(e1,e1)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[14,326]),
[iquote('0:Rew:14.0,326.0')] ).
cnf(480,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[479]),
[iquote('0:Obv:479.0')] ).
cnf(481,plain,
( ~ equal(e1,e1)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[30,325]),
[iquote('0:Rew:30.0,325.0')] ).
cnf(482,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[481]),
[iquote('0:Obv:481.0')] ).
cnf(483,plain,
( ~ equal(e0,e0)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[34,320]),
[iquote('0:Rew:34.0,320.0')] ).
cnf(484,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[483]),
[iquote('0:Obv:483.0')] ).
cnf(487,plain,
( ~ equal(e0,e0)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[28,313]),
[iquote('0:Rew:28.0,313.0')] ).
cnf(488,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[487]),
[iquote('0:Obv:487.0')] ).
cnf(493,plain,
( ~ equal(e4,e4)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[13,306]),
[iquote('0:Rew:13.0,306.0')] ).
cnf(494,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[493]),
[iquote('0:Obv:493.0')] ).
cnf(496,plain,
( ~ equal(e4,e4)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[24,304]),
[iquote('0:Rew:24.0,304.0')] ).
cnf(497,plain,
skC53,
inference(obv,[status(thm),theory(equality)],[496]),
[iquote('0:Obv:496.0')] ).
cnf(501,plain,
( ~ equal(e3,e3)
| skC52 ),
inference(rew,[status(thm),theory(equality)],[18,297]),
[iquote('0:Rew:18.0,297.0')] ).
cnf(502,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[501]),
[iquote('0:Obv:501.0')] ).
cnf(503,plain,
( ~ equal(e3,e3)
| skC51 ),
inference(rew,[status(thm),theory(equality)],[25,295]),
[iquote('0:Rew:25.0,295.0')] ).
cnf(504,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[503]),
[iquote('0:Obv:503.0')] ).
cnf(507,plain,
( ~ equal(e2,e2)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[23,288]),
[iquote('0:Rew:23.0,288.0')] ).
cnf(508,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[507]),
[iquote('0:Obv:507.0')] ).
cnf(511,plain,
( ~ equal(e2,e2)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[23,283]),
[iquote('0:Rew:23.0,283.0')] ).
cnf(512,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[511]),
[iquote('0:Obv:511.0')] ).
cnf(513,plain,
( ~ equal(e1,e1)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[33,280]),
[iquote('0:Rew:33.0,280.0')] ).
cnf(514,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[513]),
[iquote('0:Obv:513.0')] ).
cnf(519,plain,
( ~ equal(e1,e1)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[21,271]),
[iquote('0:Rew:21.0,271.0')] ).
cnf(520,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[519]),
[iquote('0:Obv:519.0')] ).
cnf(522,plain,
( ~ equal(e0,e0)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[28,269]),
[iquote('0:Rew:28.0,269.0')] ).
cnf(523,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[522]),
[iquote('0:Obv:522.0')] ).
cnf(527,plain,
( ~ equal(e0,e0)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[22,262]),
[iquote('0:Rew:22.0,262.0')] ).
cnf(528,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[527]),
[iquote('0:Obv:527.0')] ).
cnf(530,plain,
( ~ equal(e4,e4)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[27,259]),
[iquote('0:Rew:27.0,259.0')] ).
cnf(531,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[530]),
[iquote('0:Obv:530.0')] ).
cnf(536,plain,
( ~ equal(e4,e4)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[16,251]),
[iquote('0:Rew:16.0,251.0')] ).
cnf(537,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[536]),
[iquote('0:Obv:536.0')] ).
cnf(542,plain,
( ~ equal(e3,e3)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[12,246]),
[iquote('0:Rew:12.0,246.0')] ).
cnf(543,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[542]),
[iquote('0:Obv:542.0')] ).
cnf(546,plain,
( ~ equal(e3,e3)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[18,243]),
[iquote('0:Rew:18.0,243.0')] ).
cnf(547,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[546]),
[iquote('0:Obv:546.0')] ).
cnf(548,plain,
( ~ equal(e2,e2)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[32,240]),
[iquote('0:Rew:32.0,240.0')] ).
cnf(549,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[548]),
[iquote('0:Obv:548.0')] ).
cnf(551,plain,
( ~ equal(e2,e2)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[19,234]),
[iquote('0:Rew:19.0,234.0')] ).
cnf(552,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[551]),
[iquote('0:Obv:551.0')] ).
cnf(556,plain,
( ~ equal(e1,e1)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[17,227]),
[iquote('0:Rew:17.0,227.0')] ).
cnf(557,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[556]),
[iquote('0:Obv:556.0')] ).
cnf(561,plain,
( ~ equal(e1,e1)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[17,222]),
[iquote('0:Rew:17.0,222.0')] ).
cnf(562,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[561]),
[iquote('0:Obv:561.0')] ).
cnf(565,plain,
( ~ equal(e0,e0)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[22,218]),
[iquote('0:Rew:22.0,218.0')] ).
cnf(566,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[565]),
[iquote('0:Obv:565.0')] ).
cnf(567,plain,
( ~ equal(e0,e0)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[20,215]),
[iquote('0:Rew:20.0,215.0')] ).
cnf(568,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[567]),
[iquote('0:Obv:567.0')] ).
cnf(572,plain,
( ~ equal(e4,e4)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[16,207]),
[iquote('0:Rew:16.0,207.0')] ).
cnf(573,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[572]),
[iquote('0:Obv:572.0')] ).
cnf(576,plain,
( ~ equal(e4,e4)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[13,203]),
[iquote('0:Rew:13.0,203.0')] ).
cnf(577,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[576]),
[iquote('0:Obv:576.0')] ).
cnf(578,plain,
( ~ equal(e3,e3)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[31,200]),
[iquote('0:Rew:31.0,200.0')] ).
cnf(579,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[578]),
[iquote('0:Obv:578.0')] ).
cnf(583,plain,
( ~ equal(e3,e3)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[12,192]),
[iquote('0:Rew:12.0,192.0')] ).
cnf(584,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[583]),
[iquote('0:Obv:583.0')] ).
cnf(586,plain,
( ~ equal(e2,e2)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[26,189]),
[iquote('0:Rew:26.0,189.0')] ).
cnf(587,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[586]),
[iquote('0:Obv:586.0')] ).
cnf(588,plain,
( ~ equal(e2,e2)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[15,185]),
[iquote('0:Rew:15.0,185.0')] ).
cnf(589,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[588]),
[iquote('0:Obv:588.0')] ).
cnf(592,plain,
( ~ equal(e1,e1)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[21,178]),
[iquote('0:Rew:21.0,178.0')] ).
cnf(593,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[592]),
[iquote('0:Obv:592.0')] ).
cnf(595,plain,
( ~ equal(e1,e1)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[14,174]),
[iquote('0:Rew:14.0,174.0')] ).
cnf(596,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[595]),
[iquote('0:Obv:595.0')] ).
cnf(601,plain,
( ~ equal(e0,e0)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[11,166]),
[iquote('0:Rew:11.0,166.0')] ).
cnf(602,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[601]),
[iquote('0:Obv:601.0')] ).
cnf(607,plain,
( ~ equal(e0,e0)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[11,161]),
[iquote('0:Rew:11.0,161.0')] ).
cnf(608,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[607]),
[iquote('0:Obv:607.0')] ).
cnf(609,plain,
( ~ equal(e4,e4)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[35,160]),
[iquote('0:Rew:35.0,160.0')] ).
cnf(610,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[609]),
[iquote('0:Obv:609.0')] ).
cnf(615,plain,
( ~ equal(e0,e0)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[34,151]),
[iquote('0:Rew:34.0,151.0')] ).
cnf(616,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[615]),
[iquote('0:Obv:615.0')] ).
cnf(620,plain,
( ~ equal(e1,e1)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[33,147]),
[iquote('0:Rew:33.0,147.0')] ).
cnf(621,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[620]),
[iquote('0:Obv:620.0')] ).
cnf(624,plain,
( ~ equal(e2,e2)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[32,143]),
[iquote('0:Rew:32.0,143.0')] ).
cnf(625,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[624]),
[iquote('0:Obv:624.0')] ).
cnf(627,plain,
( ~ equal(e3,e3)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[31,139]),
[iquote('0:Rew:31.0,139.0')] ).
cnf(628,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[627]),
[iquote('0:Obv:627.0')] ).
cnf(632,plain,
( ~ equal(e1,e1)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[30,132]),
[iquote('0:Rew:30.0,132.0')] ).
cnf(633,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[632]),
[iquote('0:Obv:632.0')] ).
cnf(635,plain,
( ~ equal(e3,e3)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[29,129]),
[iquote('0:Rew:29.0,129.0')] ).
cnf(636,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[635]),
[iquote('0:Obv:635.0')] ).
cnf(641,plain,
( ~ equal(e0,e0)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[28,121]),
[iquote('0:Rew:28.0,121.0')] ).
cnf(642,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[641]),
[iquote('0:Obv:641.0')] ).
cnf(643,plain,
( ~ equal(e4,e4)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[27,120]),
[iquote('0:Rew:27.0,120.0')] ).
cnf(644,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[643]),
[iquote('0:Obv:643.0')] ).
cnf(647,plain,
( ~ equal(e2,e2)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[26,113]),
[iquote('0:Rew:26.0,113.0')] ).
cnf(648,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[647]),
[iquote('0:Obv:647.0')] ).
cnf(650,plain,
( ~ equal(e3,e3)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[25,109]),
[iquote('0:Rew:25.0,109.0')] ).
cnf(651,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[650]),
[iquote('0:Obv:650.0')] ).
cnf(652,plain,
( ~ equal(e4,e4)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[24,105]),
[iquote('0:Rew:24.0,105.0')] ).
cnf(653,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[652]),
[iquote('0:Obv:652.0')] ).
cnf(656,plain,
( ~ equal(e2,e2)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[23,98]),
[iquote('0:Rew:23.0,98.0')] ).
cnf(657,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[656]),
[iquote('0:Obv:656.0')] ).
cnf(662,plain,
( ~ equal(e0,e0)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[22,91]),
[iquote('0:Rew:22.0,91.0')] ).
cnf(663,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[662]),
[iquote('0:Obv:662.0')] ).
cnf(667,plain,
( ~ equal(e1,e1)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[21,87]),
[iquote('0:Rew:21.0,87.0')] ).
cnf(668,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[667]),
[iquote('0:Obv:667.0')] ).
cnf(673,plain,
( ~ equal(e0,e0)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[20,81]),
[iquote('0:Rew:20.0,81.0')] ).
cnf(674,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[673]),
[iquote('0:Obv:673.0')] ).
cnf(677,plain,
( ~ equal(e2,e2)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[19,78]),
[iquote('0:Rew:19.0,78.0')] ).
cnf(678,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[677]),
[iquote('0:Obv:677.0')] ).
cnf(680,plain,
( ~ equal(e3,e3)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[18,74]),
[iquote('0:Rew:18.0,74.0')] ).
cnf(681,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[680]),
[iquote('0:Obv:680.0')] ).
cnf(685,plain,
( ~ equal(e1,e1)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[17,67]),
[iquote('0:Rew:17.0,67.0')] ).
cnf(686,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[685]),
[iquote('0:Obv:685.0')] ).
cnf(687,plain,
( ~ equal(e4,e4)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[16,65]),
[iquote('0:Rew:16.0,65.0')] ).
cnf(688,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[687]),
[iquote('0:Obv:687.0')] ).
cnf(691,plain,
( ~ equal(e2,e2)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[15,58]),
[iquote('0:Rew:15.0,58.0')] ).
cnf(692,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[691]),
[iquote('0:Obv:691.0')] ).
cnf(696,plain,
( ~ equal(e1,e1)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[14,52]),
[iquote('0:Rew:14.0,52.0')] ).
cnf(697,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[696]),
[iquote('0:Obv:696.0')] ).
cnf(698,plain,
( ~ equal(e4,e4)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[13,50]),
[iquote('0:Rew:13.0,50.0')] ).
cnf(699,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[698]),
[iquote('0:Obv:698.0')] ).
cnf(701,plain,
( ~ equal(e3,e3)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[12,44]),
[iquote('0:Rew:12.0,44.0')] ).
cnf(702,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[701]),
[iquote('0:Obv:701.0')] ).
cnf(707,plain,
( ~ equal(e0,e0)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[11,36]),
[iquote('0:Rew:11.0,36.0')] ).
cnf(708,plain,
skC0,
inference(obv,[status(thm),theory(equality)],[707]),
[iquote('0:Obv:707.0')] ).
cnf(709,plain,
( ~ equal(e4,e4)
| ~ equal(e0,e0)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e0,e0)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e0,e0)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e0,e0)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e0,e0)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ skC0
| ~ skC1
| ~ skC2
| ~ skC3
| ~ skC4
| ~ skC5
| ~ skC6
| ~ skC7
| ~ skC8
| ~ skC9
| ~ skC10
| ~ skC11
| ~ skC12
| ~ skC13
| ~ skC14
| ~ skC15
| ~ skC16
| ~ skC17
| ~ skC18
| ~ skC19
| ~ skC20
| ~ skC21
| ~ skC22
| ~ skC23
| ~ skC24
| ~ skC25
| ~ skC26
| ~ skC27
| ~ skC28
| ~ skC29
| ~ skC30
| ~ skC31
| ~ skC32
| ~ skC33
| ~ skC34
| ~ skC35
| ~ skC36
| ~ skC37
| ~ skC38
| ~ skC39
| ~ skC40
| ~ skC41
| ~ skC42
| ~ skC43
| ~ skC44
| ~ skC45
| ~ skC46
| ~ skC47
| ~ skC48
| ~ skC49
| ~ skC50
| ~ skC51
| ~ skC52
| ~ skC53
| ~ skC54
| ~ skC55
| ~ skC56
| ~ skC57
| ~ skC58
| ~ skC59
| ~ skC60
| ~ skC61
| ~ skC62
| ~ skC63
| ~ skC64
| ~ skC65
| ~ skC66
| ~ skC67
| ~ skC68
| ~ skC69
| ~ skC70
| ~ skC71
| ~ skC72
| ~ skC73
| ~ equal(e0,e0)
| ~ equal(e0,e0)
| ~ equal(e0,e0)
| ~ equal(e0,e0)
| ~ equal(e0,e0)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e1,e1)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e2,e2)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ equal(e3,e3)
| ~ equal(e4,e4)
| ~ equal(e4,e4)
| ~ equal(e4,e4)
| ~ equal(e4,e4)
| ~ equal(e4,e4) ),
inference(rew,[status(thm),theory(equality)],[35,406,16,30,34,27,25,33,13,20,32,24,15,31,12,29,28,19,18,14,26,23,22,21,17,11]),
[iquote('0:Rew:35.0,406.124,35.0,406.124,16.0,406.123,30.0,406.123,34.0,406.123,27.0,406.122,25.0,406.122,33.0,406.122,13.0,406.121,20.0,406.121,32.0,406.121,24.0,406.120,15.0,406.120,31.0,406.120,12.0,406.119,34.0,406.119,30.0,406.119,29.0,406.118,29.0,406.118,31.0,406.117,24.0,406.117,28.0,406.117,25.0,406.116,19.0,406.116,27.0,406.116,18.0,406.115,14.0,406.115,26.0,406.115,19.0,406.114,33.0,406.114,25.0,406.114,15.0,406.113,28.0,406.113,24.0,406.113,23.0,406.112,23.0,406.112,26.0,406.111,18.0,406.111,22.0,406.111,32.0,406.110,13.0,406.110,21.0,406.110,21.0,406.109,32.0,406.109,20.0,406.109,33.0,406.108,27.0,406.108,19.0,406.108,14.0,406.107,22.0,406.107,18.0,406.107,17.0,406.106,17.0,406.106,30.0,406.105,12.0,406.105,16.0,406.105,28.0,406.104,31.0,406.104,15.0,406.104,22.0,406.103,26.0,406.103,14.0,406.103,20.0,406.102,21.0,406.102,13.0,406.102,34.0,406.101,16.0,406.101,12.0,406.101,11.0,406.100,11.0,406.100,35.0,406.25,35.0,406.25,31.0,406.24,34.0,406.24,32.0,406.23,33.0,406.23,33.0,406.22,32.0,406.22,34.0,406.21,31.0,406.21,27.0,406.20,30.0,406.20,29.0,406.19,29.0,406.19,26.0,406.18,28.0,406.18,30.0,406.17,27.0,406.17,28.0,406.16,26.0,406.16,24.0,406.15,25.0,406.15,25.0,406.14,24.0,406.14,23.0,406.13,23.0,406.13,21.0,406.12,22.0,406.12,22.0,406.11,21.0,406.11,16.0,406.10,20.0,406.10,18.0,406.9,19.0,406.9,19.0,406.8,18.0,406.8,17.0,406.7,17.0,406.7,20.0,406.6,16.0,406.6,13.0,406.5,15.0,406.5,12.0,406.4,14.0,406.4,15.0,406.3,13.0,406.3,14.0,406.2,12.0,406.2,11.0,406.1,11.0,406.1,35.0,406.0')] ).
cnf(710,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 ),
inference(obv,[status(thm),theory(equality)],[709]),
[iquote('0:Obv:709.124')] ).
cnf(711,plain,
$false,
inference(mrr,[status(thm)],[710,708,702,699,697,692,688,686,681,678,674,668,663,657,653,651,648,644,642,636,633,628,625,621,616,610,608,602,596,593,589,587,584,579,577,573,568,566,562,557,552,549,547,543,537,531,528,523,520,514,512,508,504,502,497,494,488,484,482,480,474,468,463,460,457,452,448,445,440,436,433,428,422,416,412]),
[iquote('0:MRR:710.0,710.1,710.2,710.3,710.4,710.5,710.6,710.7,710.8,710.9,710.10,710.11,710.12,710.13,710.14,710.15,710.16,710.17,710.18,710.19,710.20,710.21,710.22,710.23,710.24,710.25,710.26,710.27,710.28,710.29,710.30,710.31,710.32,710.33,710.34,710.35,710.36,710.37,710.38,710.39,710.40,710.41,710.42,710.43,710.44,710.45,710.46,710.47,710.48,710.49,710.50,710.51,710.52,710.53,710.54,710.55,710.56,710.57,710.58,710.59,710.60,710.61,710.62,710.63,710.64,710.65,710.66,710.67,710.68,710.69,710.70,710.71,710.72,710.73,708.0,702.0,699.0,697.0,692.0,688.0,686.0,681.0,678.0,674.0,668.0,663.0,657.0,653.0,651.0,648.0,644.0,642.0,636.0,633.0,628.0,625.0,621.0,616.0,610.0,608.0,602.0,596.0,593.0,589.0,587.0,584.0,579.0,577.0,573.0,568.0,566.0,562.0,557.0,552.0,549.0,547.0,543.0,537.0,531.0,528.0,523.0,520.0,514.0,512.0,508.0,504.0,502.0,497.0,494.0,488.0,484.0,482.0,480.0,474.0,468.0,463.0,460.0,457.0,452.0,448.0,445.0,440.0,436.0,433.0,428.0,422.0,416.0,412.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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 18:26:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.59
% 0.20/0.59 SPASS V 3.9
% 0.20/0.59 SPASS beiseite: Proof found.
% 0.20/0.59 % SZS status Theorem
% 0.20/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.59 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 110 clauses.
% 0.20/0.59 SPASS allocated 86797 KBytes.
% 0.20/0.59 SPASS spent 0:00:00.24 on the problem.
% 0.20/0.59 0:00:00.04 for the input.
% 0.20/0.59 0:00:00.15 for the FLOTTER CNF translation.
% 0.20/0.59 0:00:00.00 for inferences.
% 0.20/0.59 0:00:00.00 for the backtracking.
% 0.20/0.59 0:00:00.02 for the reduction.
% 0.20/0.59
% 0.20/0.59
% 0.20/0.59 Here is a proof with depth 0, length 251 :
% 0.20/0.59 % SZS output start Refutation
% See solution above
% 0.44/0.59 Formulae used in the proof : ax2 co1
% 0.44/0.59
%------------------------------------------------------------------------------