TSTP Solution File: ALG186+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG186+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 18:02:51 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 106
% Syntax : Number of clauses : 259 ( 106 unt; 2 nHn; 259 RR)
% Number of literals : 691 ( 0 equ; 430 neg)
% Maximal clause size : 101 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 77 ( 76 usr; 76 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ equal(e2,e0),
file('ALG186+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(e4,e0),
file('ALG186+1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(e3,e1),
file('ALG186+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e4,e1),
file('ALG186+1.p',unknown),
[] ).
cnf(8,axiom,
~ equal(e3,e2),
file('ALG186+1.p',unknown),
[] ).
cnf(11,axiom,
equal(op(e0,e0),e3),
file('ALG186+1.p',unknown),
[] ).
cnf(12,axiom,
equal(op(e0,e1),e2),
file('ALG186+1.p',unknown),
[] ).
cnf(13,axiom,
equal(op(e0,e2),e0),
file('ALG186+1.p',unknown),
[] ).
cnf(14,axiom,
equal(op(e0,e3),e1),
file('ALG186+1.p',unknown),
[] ).
cnf(15,axiom,
equal(op(e0,e4),e4),
file('ALG186+1.p',unknown),
[] ).
cnf(16,axiom,
equal(op(e1,e0),e0),
file('ALG186+1.p',unknown),
[] ).
cnf(17,axiom,
equal(op(e1,e1),e4),
file('ALG186+1.p',unknown),
[] ).
cnf(18,axiom,
equal(op(e1,e2),e1),
file('ALG186+1.p',unknown),
[] ).
cnf(19,axiom,
equal(op(e1,e3),e2),
file('ALG186+1.p',unknown),
[] ).
cnf(20,axiom,
equal(op(e1,e4),e3),
file('ALG186+1.p',unknown),
[] ).
cnf(21,axiom,
equal(op(e2,e0),e1),
file('ALG186+1.p',unknown),
[] ).
cnf(22,axiom,
equal(op(e2,e1),e3),
file('ALG186+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e2,e2),e2),
file('ALG186+1.p',unknown),
[] ).
cnf(24,axiom,
equal(op(e2,e3),e4),
file('ALG186+1.p',unknown),
[] ).
cnf(25,axiom,
equal(op(e2,e4),e0),
file('ALG186+1.p',unknown),
[] ).
cnf(26,axiom,
equal(op(e3,e0),e4),
file('ALG186+1.p',unknown),
[] ).
cnf(27,axiom,
equal(op(e3,e1),e1),
file('ALG186+1.p',unknown),
[] ).
cnf(28,axiom,
equal(op(e3,e2),e3),
file('ALG186+1.p',unknown),
[] ).
cnf(29,axiom,
equal(op(e3,e3),e0),
file('ALG186+1.p',unknown),
[] ).
cnf(30,axiom,
equal(op(e3,e4),e2),
file('ALG186+1.p',unknown),
[] ).
cnf(31,axiom,
equal(op(e4,e0),e2),
file('ALG186+1.p',unknown),
[] ).
cnf(32,axiom,
equal(op(e4,e1),e0),
file('ALG186+1.p',unknown),
[] ).
cnf(33,axiom,
equal(op(e4,e2),e4),
file('ALG186+1.p',unknown),
[] ).
cnf(34,axiom,
equal(op(e4,e3),e3),
file('ALG186+1.p',unknown),
[] ).
cnf(35,axiom,
equal(op(e4,e4),e1),
file('ALG186+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ equal(op(e0,e0),e3)
| skC1 ),
file('ALG186+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ equal(op(e0,e1),e2)
| skC2 ),
file('ALG186+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ equal(op(e0,e2),e0)
| skC3 ),
file('ALG186+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ equal(op(e0,e3),e1)
| skC4 ),
file('ALG186+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ equal(op(e0,e4),e4)
| skC5 ),
file('ALG186+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ equal(op(e1,e0),e0)
| skC6 ),
file('ALG186+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ equal(op(e1,e1),e4)
| skC7 ),
file('ALG186+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ equal(op(e1,e2),e1)
| skC8 ),
file('ALG186+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ equal(op(e1,e3),e2)
| skC9 ),
file('ALG186+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ equal(op(e1,e4),e3)
| skC10 ),
file('ALG186+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ equal(op(e2,e0),e1)
| skC11 ),
file('ALG186+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ equal(op(e2,e1),e3)
| skC12 ),
file('ALG186+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ equal(op(e2,e2),e2)
| skC13 ),
file('ALG186+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ equal(op(e2,e3),e4)
| skC14 ),
file('ALG186+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ equal(op(e2,e4),e0)
| skC15 ),
file('ALG186+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ equal(op(e3,e0),e4)
| skC16 ),
file('ALG186+1.p',unknown),
[] ).
cnf(117,axiom,
( ~ equal(op(e3,e1),e1)
| skC17 ),
file('ALG186+1.p',unknown),
[] ).
cnf(124,axiom,
( ~ equal(op(e3,e2),e3)
| skC18 ),
file('ALG186+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ equal(op(e3,e3),e0)
| skC19 ),
file('ALG186+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ equal(op(e3,e4),e2)
| skC20 ),
file('ALG186+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ equal(op(e4,e0),e2)
| skC21 ),
file('ALG186+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ equal(op(e4,e1),e0)
| skC22 ),
file('ALG186+1.p',unknown),
[] ).
cnf(150,axiom,
( ~ equal(op(e4,e2),e4)
| skC23 ),
file('ALG186+1.p',unknown),
[] ).
cnf(154,axiom,
( ~ equal(op(e4,e3),e3)
| skC24 ),
file('ALG186+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ equal(op(e4,e4),e1)
| skC25 ),
file('ALG186+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ equal(op(e0,e2),e0)
| skC26 ),
file('ALG186+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ equal(op(e1,e0),e0)
| skC27 ),
file('ALG186+1.p',unknown),
[] ).
cnf(174,axiom,
( ~ equal(op(e0,e3),e1)
| skC28 ),
file('ALG186+1.p',unknown),
[] ).
cnf(178,axiom,
( ~ equal(op(e2,e0),e1)
| skC29 ),
file('ALG186+1.p',unknown),
[] ).
cnf(182,axiom,
( ~ equal(op(e0,e1),e2)
| skC30 ),
file('ALG186+1.p',unknown),
[] ).
cnf(190,axiom,
( ~ equal(op(e4,e0),e2)
| skC31 ),
file('ALG186+1.p',unknown),
[] ).
cnf(191,axiom,
( ~ equal(op(e0,e0),e3)
| skC32 ),
file('ALG186+1.p',unknown),
[] ).
cnf(196,axiom,
( ~ equal(op(e0,e0),e3)
| skC33 ),
file('ALG186+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ equal(op(e0,e4),e4)
| skC34 ),
file('ALG186+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ equal(op(e3,e0),e4)
| skC35 ),
file('ALG186+1.p',unknown),
[] ).
cnf(211,axiom,
( ~ equal(op(e1,e0),e0)
| skC36 ),
file('ALG186+1.p',unknown),
[] ).
cnf(220,axiom,
( ~ equal(op(e4,e1),e0)
| skC37 ),
file('ALG186+1.p',unknown),
[] ).
cnf(223,axiom,
( ~ equal(op(e1,e2),e1)
| skC38 ),
file('ALG186+1.p',unknown),
[] ).
cnf(229,axiom,
( ~ equal(op(e3,e1),e1)
| skC39 ),
file('ALG186+1.p',unknown),
[] ).
cnf(234,axiom,
( ~ equal(op(e1,e3),e2)
| skC40 ),
file('ALG186+1.p',unknown),
[] ).
cnf(236,axiom,
( ~ equal(op(e0,e1),e2)
| skC41 ),
file('ALG186+1.p',unknown),
[] ).
cnf(245,axiom,
( ~ equal(op(e1,e4),e3)
| skC42 ),
file('ALG186+1.p',unknown),
[] ).
cnf(248,axiom,
( ~ equal(op(e2,e1),e3)
| skC43 ),
file('ALG186+1.p',unknown),
[] ).
cnf(252,axiom,
( ~ equal(op(e1,e1),e4)
| skC44 ),
file('ALG186+1.p',unknown),
[] ).
cnf(257,axiom,
( ~ equal(op(e1,e1),e4)
| skC45 ),
file('ALG186+1.p',unknown),
[] ).
cnf(265,axiom,
( ~ equal(op(e2,e4),e0)
| skC46 ),
file('ALG186+1.p',unknown),
[] ).
cnf(266,axiom,
( ~ equal(op(e0,e2),e0)
| skC47 ),
file('ALG186+1.p',unknown),
[] ).
cnf(271,axiom,
( ~ equal(op(e2,e0),e1)
| skC48 ),
file('ALG186+1.p',unknown),
[] ).
cnf(277,axiom,
( ~ equal(op(e1,e2),e1)
| skC49 ),
file('ALG186+1.p',unknown),
[] ).
cnf(283,axiom,
( ~ equal(op(e2,e2),e2)
| skC50 ),
file('ALG186+1.p',unknown),
[] ).
cnf(288,axiom,
( ~ equal(op(e2,e2),e2)
| skC51 ),
file('ALG186+1.p',unknown),
[] ).
cnf(292,axiom,
( ~ equal(op(e2,e1),e3)
| skC52 ),
file('ALG186+1.p',unknown),
[] ).
cnf(299,axiom,
( ~ equal(op(e3,e2),e3)
| skC53 ),
file('ALG186+1.p',unknown),
[] ).
cnf(304,axiom,
( ~ equal(op(e2,e3),e4)
| skC54 ),
file('ALG186+1.p',unknown),
[] ).
cnf(310,axiom,
( ~ equal(op(e4,e2),e4)
| skC55 ),
file('ALG186+1.p',unknown),
[] ).
cnf(314,axiom,
( ~ equal(op(e3,e3),e0)
| skC56 ),
file('ALG186+1.p',unknown),
[] ).
cnf(319,axiom,
( ~ equal(op(e3,e3),e0)
| skC57 ),
file('ALG186+1.p',unknown),
[] ).
cnf(322,axiom,
( ~ equal(op(e3,e1),e1)
| skC58 ),
file('ALG186+1.p',unknown),
[] ).
cnf(326,axiom,
( ~ equal(op(e0,e3),e1)
| skC59 ),
file('ALG186+1.p',unknown),
[] ).
cnf(335,axiom,
( ~ equal(op(e3,e4),e2)
| skC60 ),
file('ALG186+1.p',unknown),
[] ).
cnf(337,axiom,
( ~ equal(op(e1,e3),e2)
| skC61 ),
file('ALG186+1.p',unknown),
[] ).
cnf(343,axiom,
( ~ equal(op(e3,e2),e3)
| skC62 ),
file('ALG186+1.p',unknown),
[] ).
cnf(350,axiom,
( ~ equal(op(e4,e3),e3)
| skC63 ),
file('ALG186+1.p',unknown),
[] ).
cnf(351,axiom,
( ~ equal(op(e3,e0),e4)
| skC64 ),
file('ALG186+1.p',unknown),
[] ).
cnf(358,axiom,
( ~ equal(op(e2,e3),e4)
| skC65 ),
file('ALG186+1.p',unknown),
[] ).
cnf(362,axiom,
( ~ equal(op(e4,e1),e0)
| skC66 ),
file('ALG186+1.p',unknown),
[] ).
cnf(368,axiom,
( ~ equal(op(e2,e4),e0)
| skC67 ),
file('ALG186+1.p',unknown),
[] ).
cnf(375,axiom,
( ~ equal(op(e4,e4),e1)
| skC68 ),
file('ALG186+1.p',unknown),
[] ).
cnf(380,axiom,
( ~ equal(op(e4,e4),e1)
| skC69 ),
file('ALG186+1.p',unknown),
[] ).
cnf(381,axiom,
( ~ equal(op(e4,e0),e2)
| skC70 ),
file('ALG186+1.p',unknown),
[] ).
cnf(389,axiom,
( ~ equal(op(e3,e4),e2)
| skC71 ),
file('ALG186+1.p',unknown),
[] ).
cnf(394,axiom,
( ~ equal(op(e4,e3),e3)
| skC72 ),
file('ALG186+1.p',unknown),
[] ).
cnf(397,axiom,
( ~ equal(op(e1,e4),e3)
| skC73 ),
file('ALG186+1.p',unknown),
[] ).
cnf(403,axiom,
( ~ equal(op(e4,e2),e4)
| skC74 ),
file('ALG186+1.p',unknown),
[] ).
cnf(406,axiom,
( equal(op(e0,e4),e0)
| equal(op(e1,e4),e1)
| equal(op(e2,e4),e2)
| equal(op(e3,e4),e3)
| equal(op(e4,e4),e4)
| skC0 ),
file('ALG186+1.p',unknown),
[] ).
cnf(415,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
| ~ 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
| ~ 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('ALG186+1.p',unknown),
[] ).
cnf(418,plain,
( ~ equal(e4,e4)
| skC74 ),
inference(rew,[status(thm),theory(equality)],[33,403]),
[iquote('0:Rew:33.0,403.0')] ).
cnf(419,plain,
skC74,
inference(obv,[status(thm),theory(equality)],[418]),
[iquote('0:Obv:418.0')] ).
cnf(423,plain,
( ~ equal(e3,e3)
| skC73 ),
inference(rew,[status(thm),theory(equality)],[20,397]),
[iquote('0:Rew:20.0,397.0')] ).
cnf(424,plain,
skC73,
inference(obv,[status(thm),theory(equality)],[423]),
[iquote('0:Obv:423.0')] ).
cnf(426,plain,
( ~ equal(e3,e3)
| skC72 ),
inference(rew,[status(thm),theory(equality)],[34,394]),
[iquote('0:Rew:34.0,394.0')] ).
cnf(427,plain,
skC72,
inference(obv,[status(thm),theory(equality)],[426]),
[iquote('0:Obv:426.0')] ).
cnf(429,plain,
( ~ equal(e2,e2)
| skC71 ),
inference(rew,[status(thm),theory(equality)],[30,389]),
[iquote('0:Rew:30.0,389.0')] ).
cnf(430,plain,
skC71,
inference(obv,[status(thm),theory(equality)],[429]),
[iquote('0:Obv:429.0')] ).
cnf(435,plain,
( ~ equal(e2,e2)
| skC70 ),
inference(rew,[status(thm),theory(equality)],[31,381]),
[iquote('0:Rew:31.0,381.0')] ).
cnf(436,plain,
skC70,
inference(obv,[status(thm),theory(equality)],[435]),
[iquote('0:Obv:435.0')] ).
cnf(437,plain,
( ~ equal(e1,e1)
| skC69 ),
inference(rew,[status(thm),theory(equality)],[35,380]),
[iquote('0:Rew:35.0,380.0')] ).
cnf(438,plain,
skC69,
inference(obv,[status(thm),theory(equality)],[437]),
[iquote('0:Obv:437.0')] ).
cnf(439,plain,
( ~ equal(e1,e1)
| skC68 ),
inference(rew,[status(thm),theory(equality)],[35,375]),
[iquote('0:Rew:35.0,375.0')] ).
cnf(440,plain,
skC68,
inference(obv,[status(thm),theory(equality)],[439]),
[iquote('0:Obv:439.0')] ).
cnf(443,plain,
( ~ equal(e0,e0)
| skC67 ),
inference(rew,[status(thm),theory(equality)],[25,368]),
[iquote('0:Rew:25.0,368.0')] ).
cnf(444,plain,
skC67,
inference(obv,[status(thm),theory(equality)],[443]),
[iquote('0:Obv:443.0')] ).
cnf(448,plain,
( ~ equal(e0,e0)
| skC66 ),
inference(rew,[status(thm),theory(equality)],[32,362]),
[iquote('0:Rew:32.0,362.0')] ).
cnf(449,plain,
skC66,
inference(obv,[status(thm),theory(equality)],[448]),
[iquote('0:Obv:448.0')] ).
cnf(452,plain,
( ~ equal(e4,e4)
| skC65 ),
inference(rew,[status(thm),theory(equality)],[24,358]),
[iquote('0:Rew:24.0,358.0')] ).
cnf(453,plain,
skC65,
inference(obv,[status(thm),theory(equality)],[452]),
[iquote('0:Obv:452.0')] ).
cnf(458,plain,
( ~ equal(e4,e4)
| skC64 ),
inference(rew,[status(thm),theory(equality)],[26,351]),
[iquote('0:Rew:26.0,351.0')] ).
cnf(459,plain,
skC64,
inference(obv,[status(thm),theory(equality)],[458]),
[iquote('0:Obv:458.0')] ).
cnf(460,plain,
( ~ equal(e3,e3)
| skC63 ),
inference(rew,[status(thm),theory(equality)],[34,350]),
[iquote('0:Rew:34.0,350.0')] ).
cnf(461,plain,
skC63,
inference(obv,[status(thm),theory(equality)],[460]),
[iquote('0:Obv:460.0')] ).
cnf(464,plain,
( ~ equal(e3,e3)
| skC62 ),
inference(rew,[status(thm),theory(equality)],[28,343]),
[iquote('0:Rew:28.0,343.0')] ).
cnf(465,plain,
skC62,
inference(obv,[status(thm),theory(equality)],[464]),
[iquote('0:Obv:464.0')] ).
cnf(469,plain,
( ~ equal(e2,e2)
| skC61 ),
inference(rew,[status(thm),theory(equality)],[19,337]),
[iquote('0:Rew:19.0,337.0')] ).
cnf(470,plain,
skC61,
inference(obv,[status(thm),theory(equality)],[469]),
[iquote('0:Obv:469.0')] ).
cnf(471,plain,
( ~ equal(e2,e2)
| skC60 ),
inference(rew,[status(thm),theory(equality)],[30,335]),
[iquote('0:Rew:30.0,335.0')] ).
cnf(472,plain,
skC60,
inference(obv,[status(thm),theory(equality)],[471]),
[iquote('0:Obv:471.0')] ).
cnf(477,plain,
( ~ equal(e1,e1)
| skC59 ),
inference(rew,[status(thm),theory(equality)],[14,326]),
[iquote('0:Rew:14.0,326.0')] ).
cnf(478,plain,
skC59,
inference(obv,[status(thm),theory(equality)],[477]),
[iquote('0:Obv:477.0')] ).
cnf(482,plain,
( ~ equal(e1,e1)
| skC58 ),
inference(rew,[status(thm),theory(equality)],[27,322]),
[iquote('0:Rew:27.0,322.0')] ).
cnf(483,plain,
skC58,
inference(obv,[status(thm),theory(equality)],[482]),
[iquote('0:Obv:482.0')] ).
cnf(485,plain,
( ~ equal(e0,e0)
| skC57 ),
inference(rew,[status(thm),theory(equality)],[29,319]),
[iquote('0:Rew:29.0,319.0')] ).
cnf(486,plain,
skC57,
inference(obv,[status(thm),theory(equality)],[485]),
[iquote('0:Obv:485.0')] ).
cnf(488,plain,
( ~ equal(e0,e0)
| skC56 ),
inference(rew,[status(thm),theory(equality)],[29,314]),
[iquote('0:Rew:29.0,314.0')] ).
cnf(489,plain,
skC56,
inference(obv,[status(thm),theory(equality)],[488]),
[iquote('0:Obv:488.0')] ).
cnf(490,plain,
( ~ equal(e4,e4)
| skC55 ),
inference(rew,[status(thm),theory(equality)],[33,310]),
[iquote('0:Rew:33.0,310.0')] ).
cnf(491,plain,
skC55,
inference(obv,[status(thm),theory(equality)],[490]),
[iquote('0:Obv:490.0')] ).
cnf(493,plain,
( ~ equal(e4,e4)
| skC54 ),
inference(rew,[status(thm),theory(equality)],[24,304]),
[iquote('0:Rew:24.0,304.0')] ).
cnf(494,plain,
skC54,
inference(obv,[status(thm),theory(equality)],[493]),
[iquote('0:Obv:493.0')] ).
cnf(496,plain,
( ~ equal(e3,e3)
| skC53 ),
inference(rew,[status(thm),theory(equality)],[28,299]),
[iquote('0:Rew:28.0,299.0')] ).
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)],[22,292]),
[iquote('0:Rew:22.0,292.0')] ).
cnf(502,plain,
skC52,
inference(obv,[status(thm),theory(equality)],[501]),
[iquote('0:Obv:501.0')] ).
cnf(505,plain,
( ~ equal(e2,e2)
| skC51 ),
inference(rew,[status(thm),theory(equality)],[23,288]),
[iquote('0:Rew:23.0,288.0')] ).
cnf(506,plain,
skC51,
inference(obv,[status(thm),theory(equality)],[505]),
[iquote('0:Obv:505.0')] ).
cnf(509,plain,
( ~ equal(e2,e2)
| skC50 ),
inference(rew,[status(thm),theory(equality)],[23,283]),
[iquote('0:Rew:23.0,283.0')] ).
cnf(510,plain,
skC50,
inference(obv,[status(thm),theory(equality)],[509]),
[iquote('0:Obv:509.0')] ).
cnf(514,plain,
( ~ equal(e1,e1)
| skC49 ),
inference(rew,[status(thm),theory(equality)],[18,277]),
[iquote('0:Rew:18.0,277.0')] ).
cnf(515,plain,
skC49,
inference(obv,[status(thm),theory(equality)],[514]),
[iquote('0:Obv:514.0')] ).
cnf(520,plain,
( ~ equal(e1,e1)
| skC48 ),
inference(rew,[status(thm),theory(equality)],[21,271]),
[iquote('0:Rew:21.0,271.0')] ).
cnf(521,plain,
skC48,
inference(obv,[status(thm),theory(equality)],[520]),
[iquote('0:Obv:520.0')] ).
cnf(526,plain,
( ~ equal(e0,e0)
| skC47 ),
inference(rew,[status(thm),theory(equality)],[13,266]),
[iquote('0:Rew:13.0,266.0')] ).
cnf(527,plain,
skC47,
inference(obv,[status(thm),theory(equality)],[526]),
[iquote('0:Obv:526.0')] ).
cnf(528,plain,
( ~ equal(e0,e0)
| skC46 ),
inference(rew,[status(thm),theory(equality)],[25,265]),
[iquote('0:Rew:25.0,265.0')] ).
cnf(529,plain,
skC46,
inference(obv,[status(thm),theory(equality)],[528]),
[iquote('0:Obv:528.0')] ).
cnf(533,plain,
( ~ equal(e4,e4)
| skC45 ),
inference(rew,[status(thm),theory(equality)],[17,257]),
[iquote('0:Rew:17.0,257.0')] ).
cnf(534,plain,
skC45,
inference(obv,[status(thm),theory(equality)],[533]),
[iquote('0:Obv:533.0')] ).
cnf(538,plain,
( ~ equal(e4,e4)
| skC44 ),
inference(rew,[status(thm),theory(equality)],[17,252]),
[iquote('0:Rew:17.0,252.0')] ).
cnf(539,plain,
skC44,
inference(obv,[status(thm),theory(equality)],[538]),
[iquote('0:Obv:538.0')] ).
cnf(542,plain,
( ~ equal(e3,e3)
| skC43 ),
inference(rew,[status(thm),theory(equality)],[22,248]),
[iquote('0:Rew:22.0,248.0')] ).
cnf(543,plain,
skC43,
inference(obv,[status(thm),theory(equality)],[542]),
[iquote('0:Obv:542.0')] ).
cnf(544,plain,
( ~ equal(e3,e3)
| skC42 ),
inference(rew,[status(thm),theory(equality)],[20,245]),
[iquote('0:Rew:20.0,245.0')] ).
cnf(545,plain,
skC42,
inference(obv,[status(thm),theory(equality)],[544]),
[iquote('0:Obv:544.0')] ).
cnf(550,plain,
( ~ equal(e2,e2)
| skC41 ),
inference(rew,[status(thm),theory(equality)],[12,236]),
[iquote('0:Rew:12.0,236.0')] ).
cnf(551,plain,
skC41,
inference(obv,[status(thm),theory(equality)],[550]),
[iquote('0:Obv:550.0')] ).
cnf(553,plain,
( ~ equal(e2,e2)
| skC40 ),
inference(rew,[status(thm),theory(equality)],[19,234]),
[iquote('0:Rew:19.0,234.0')] ).
cnf(554,plain,
skC40,
inference(obv,[status(thm),theory(equality)],[553]),
[iquote('0:Obv:553.0')] ).
cnf(556,plain,
( ~ equal(e1,e1)
| skC39 ),
inference(rew,[status(thm),theory(equality)],[27,229]),
[iquote('0:Rew:27.0,229.0')] ).
cnf(557,plain,
skC39,
inference(obv,[status(thm),theory(equality)],[556]),
[iquote('0:Obv:556.0')] ).
cnf(560,plain,
( ~ equal(e1,e1)
| skC38 ),
inference(rew,[status(thm),theory(equality)],[18,223]),
[iquote('0:Rew:18.0,223.0')] ).
cnf(561,plain,
skC38,
inference(obv,[status(thm),theory(equality)],[560]),
[iquote('0:Obv:560.0')] ).
cnf(562,plain,
( ~ equal(e0,e0)
| skC37 ),
inference(rew,[status(thm),theory(equality)],[32,220]),
[iquote('0:Rew:32.0,220.0')] ).
cnf(563,plain,
skC37,
inference(obv,[status(thm),theory(equality)],[562]),
[iquote('0:Obv:562.0')] ).
cnf(568,plain,
( ~ equal(e0,e0)
| skC36 ),
inference(rew,[status(thm),theory(equality)],[16,211]),
[iquote('0:Rew:16.0,211.0')] ).
cnf(569,plain,
skC36,
inference(obv,[status(thm),theory(equality)],[568]),
[iquote('0:Obv:568.0')] ).
cnf(571,plain,
( ~ equal(e4,e4)
| skC35 ),
inference(rew,[status(thm),theory(equality)],[26,209]),
[iquote('0:Rew:26.0,209.0')] ).
cnf(572,plain,
skC35,
inference(obv,[status(thm),theory(equality)],[571]),
[iquote('0:Obv:571.0')] ).
cnf(573,plain,
( ~ equal(e4,e4)
| skC34 ),
inference(rew,[status(thm),theory(equality)],[15,205]),
[iquote('0:Rew:15.0,205.0')] ).
cnf(574,plain,
skC34,
inference(obv,[status(thm),theory(equality)],[573]),
[iquote('0:Obv:573.0')] ).
cnf(579,plain,
( ~ equal(e3,e3)
| skC33 ),
inference(rew,[status(thm),theory(equality)],[11,196]),
[iquote('0:Rew:11.0,196.0')] ).
cnf(580,plain,
skC33,
inference(obv,[status(thm),theory(equality)],[579]),
[iquote('0:Obv:579.0')] ).
cnf(585,plain,
( ~ equal(e3,e3)
| skC32 ),
inference(rew,[status(thm),theory(equality)],[11,191]),
[iquote('0:Rew:11.0,191.0')] ).
cnf(586,plain,
skC32,
inference(obv,[status(thm),theory(equality)],[585]),
[iquote('0:Obv:585.0')] ).
cnf(587,plain,
( ~ equal(e2,e2)
| skC31 ),
inference(rew,[status(thm),theory(equality)],[31,190]),
[iquote('0:Rew:31.0,190.0')] ).
cnf(588,plain,
skC31,
inference(obv,[status(thm),theory(equality)],[587]),
[iquote('0:Obv:587.0')] ).
cnf(592,plain,
( ~ equal(e2,e2)
| skC30 ),
inference(rew,[status(thm),theory(equality)],[12,182]),
[iquote('0:Rew:12.0,182.0')] ).
cnf(593,plain,
skC30,
inference(obv,[status(thm),theory(equality)],[592]),
[iquote('0:Obv:592.0')] ).
cnf(596,plain,
( ~ equal(e1,e1)
| skC29 ),
inference(rew,[status(thm),theory(equality)],[21,178]),
[iquote('0:Rew:21.0,178.0')] ).
cnf(597,plain,
skC29,
inference(obv,[status(thm),theory(equality)],[596]),
[iquote('0:Obv:596.0')] ).
cnf(599,plain,
( ~ equal(e1,e1)
| skC28 ),
inference(rew,[status(thm),theory(equality)],[14,174]),
[iquote('0:Rew:14.0,174.0')] ).
cnf(600,plain,
skC28,
inference(obv,[status(thm),theory(equality)],[599]),
[iquote('0:Obv:599.0')] ).
cnf(604,plain,
( ~ equal(e0,e0)
| skC27 ),
inference(rew,[status(thm),theory(equality)],[16,167]),
[iquote('0:Rew:16.0,167.0')] ).
cnf(605,plain,
skC27,
inference(obv,[status(thm),theory(equality)],[604]),
[iquote('0:Obv:604.0')] ).
cnf(608,plain,
( ~ equal(e0,e0)
| skC26 ),
inference(rew,[status(thm),theory(equality)],[13,163]),
[iquote('0:Rew:13.0,163.0')] ).
cnf(609,plain,
skC26,
inference(obv,[status(thm),theory(equality)],[608]),
[iquote('0:Obv:608.0')] ).
cnf(613,plain,
( ~ equal(e1,e1)
| skC25 ),
inference(rew,[status(thm),theory(equality)],[35,157]),
[iquote('0:Rew:35.0,157.0')] ).
cnf(614,plain,
skC25,
inference(obv,[status(thm),theory(equality)],[613]),
[iquote('0:Obv:613.0')] ).
cnf(616,plain,
( ~ equal(e3,e3)
| skC24 ),
inference(rew,[status(thm),theory(equality)],[34,154]),
[iquote('0:Rew:34.0,154.0')] ).
cnf(617,plain,
skC24,
inference(obv,[status(thm),theory(equality)],[616]),
[iquote('0:Obv:616.0')] ).
cnf(618,plain,
( ~ equal(e4,e4)
| skC23 ),
inference(rew,[status(thm),theory(equality)],[33,150]),
[iquote('0:Rew:33.0,150.0')] ).
cnf(619,plain,
skC23,
inference(obv,[status(thm),theory(equality)],[618]),
[iquote('0:Obv:618.0')] ).
cnf(624,plain,
( ~ equal(e0,e0)
| skC22 ),
inference(rew,[status(thm),theory(equality)],[32,141]),
[iquote('0:Rew:32.0,141.0')] ).
cnf(625,plain,
skC22,
inference(obv,[status(thm),theory(equality)],[624]),
[iquote('0:Obv:624.0')] ).
cnf(628,plain,
( ~ equal(e2,e2)
| skC21 ),
inference(rew,[status(thm),theory(equality)],[31,138]),
[iquote('0:Rew:31.0,138.0')] ).
cnf(629,plain,
skC21,
inference(obv,[status(thm),theory(equality)],[628]),
[iquote('0:Obv:628.0')] ).
cnf(632,plain,
( ~ equal(e2,e2)
| skC20 ),
inference(rew,[status(thm),theory(equality)],[30,133]),
[iquote('0:Rew:30.0,133.0')] ).
cnf(633,plain,
skC20,
inference(obv,[status(thm),theory(equality)],[632]),
[iquote('0:Obv:632.0')] ).
cnf(638,plain,
( ~ equal(e0,e0)
| skC19 ),
inference(rew,[status(thm),theory(equality)],[29,126]),
[iquote('0:Rew:29.0,126.0')] ).
cnf(639,plain,
skC19,
inference(obv,[status(thm),theory(equality)],[638]),
[iquote('0:Obv:638.0')] ).
cnf(641,plain,
( ~ equal(e3,e3)
| skC18 ),
inference(rew,[status(thm),theory(equality)],[28,124]),
[iquote('0:Rew:28.0,124.0')] ).
cnf(642,plain,
skC18,
inference(obv,[status(thm),theory(equality)],[641]),
[iquote('0:Obv:641.0')] ).
cnf(646,plain,
( ~ equal(e1,e1)
| skC17 ),
inference(rew,[status(thm),theory(equality)],[27,117]),
[iquote('0:Rew:27.0,117.0')] ).
cnf(647,plain,
skC17,
inference(obv,[status(thm),theory(equality)],[646]),
[iquote('0:Obv:646.0')] ).
cnf(648,plain,
( ~ equal(e4,e4)
| skC16 ),
inference(rew,[status(thm),theory(equality)],[26,115]),
[iquote('0:Rew:26.0,115.0')] ).
cnf(649,plain,
skC16,
inference(obv,[status(thm),theory(equality)],[648]),
[iquote('0:Obv:648.0')] ).
cnf(654,plain,
( ~ equal(e0,e0)
| skC15 ),
inference(rew,[status(thm),theory(equality)],[25,106]),
[iquote('0:Rew:25.0,106.0')] ).
cnf(655,plain,
skC15,
inference(obv,[status(thm),theory(equality)],[654]),
[iquote('0:Obv:654.0')] ).
cnf(656,plain,
( ~ equal(e4,e4)
| skC14 ),
inference(rew,[status(thm),theory(equality)],[24,105]),
[iquote('0:Rew:24.0,105.0')] ).
cnf(657,plain,
skC14,
inference(obv,[status(thm),theory(equality)],[656]),
[iquote('0:Obv:656.0')] ).
cnf(660,plain,
( ~ equal(e2,e2)
| skC13 ),
inference(rew,[status(thm),theory(equality)],[23,98]),
[iquote('0:Rew:23.0,98.0')] ).
cnf(661,plain,
skC13,
inference(obv,[status(thm),theory(equality)],[660]),
[iquote('0:Obv:660.0')] ).
cnf(663,plain,
( ~ equal(e3,e3)
| skC12 ),
inference(rew,[status(thm),theory(equality)],[22,94]),
[iquote('0:Rew:22.0,94.0')] ).
cnf(664,plain,
skC12,
inference(obv,[status(thm),theory(equality)],[663]),
[iquote('0:Obv:663.0')] ).
cnf(668,plain,
( ~ equal(e1,e1)
| skC11 ),
inference(rew,[status(thm),theory(equality)],[21,87]),
[iquote('0:Rew:21.0,87.0')] ).
cnf(669,plain,
skC11,
inference(obv,[status(thm),theory(equality)],[668]),
[iquote('0:Obv:668.0')] ).
cnf(671,plain,
( ~ equal(e3,e3)
| skC10 ),
inference(rew,[status(thm),theory(equality)],[20,84]),
[iquote('0:Rew:20.0,84.0')] ).
cnf(672,plain,
skC10,
inference(obv,[status(thm),theory(equality)],[671]),
[iquote('0:Obv:671.0')] ).
cnf(675,plain,
( ~ equal(e2,e2)
| skC9 ),
inference(rew,[status(thm),theory(equality)],[19,78]),
[iquote('0:Rew:19.0,78.0')] ).
cnf(676,plain,
skC9,
inference(obv,[status(thm),theory(equality)],[675]),
[iquote('0:Obv:675.0')] ).
cnf(680,plain,
( ~ equal(e1,e1)
| skC8 ),
inference(rew,[status(thm),theory(equality)],[18,72]),
[iquote('0:Rew:18.0,72.0')] ).
cnf(681,plain,
skC8,
inference(obv,[status(thm),theory(equality)],[680]),
[iquote('0:Obv:680.0')] ).
cnf(682,plain,
( ~ equal(e4,e4)
| skC7 ),
inference(rew,[status(thm),theory(equality)],[17,70]),
[iquote('0:Rew:17.0,70.0')] ).
cnf(683,plain,
skC7,
inference(obv,[status(thm),theory(equality)],[682]),
[iquote('0:Obv:682.0')] ).
cnf(688,plain,
( ~ equal(e0,e0)
| skC6 ),
inference(rew,[status(thm),theory(equality)],[16,61]),
[iquote('0:Rew:16.0,61.0')] ).
cnf(689,plain,
skC6,
inference(obv,[status(thm),theory(equality)],[688]),
[iquote('0:Obv:688.0')] ).
cnf(690,plain,
( ~ equal(e4,e4)
| skC5 ),
inference(rew,[status(thm),theory(equality)],[15,60]),
[iquote('0:Rew:15.0,60.0')] ).
cnf(691,plain,
skC5,
inference(obv,[status(thm),theory(equality)],[690]),
[iquote('0:Obv:690.0')] ).
cnf(695,plain,
( ~ equal(e1,e1)
| skC4 ),
inference(rew,[status(thm),theory(equality)],[14,52]),
[iquote('0:Rew:14.0,52.0')] ).
cnf(696,plain,
skC4,
inference(obv,[status(thm),theory(equality)],[695]),
[iquote('0:Obv:695.0')] ).
cnf(701,plain,
( ~ equal(e0,e0)
| skC3 ),
inference(rew,[status(thm),theory(equality)],[13,46]),
[iquote('0:Rew:13.0,46.0')] ).
cnf(702,plain,
skC3,
inference(obv,[status(thm),theory(equality)],[701]),
[iquote('0:Obv:701.0')] ).
cnf(705,plain,
( ~ equal(e2,e2)
| skC2 ),
inference(rew,[status(thm),theory(equality)],[12,43]),
[iquote('0:Rew:12.0,43.0')] ).
cnf(706,plain,
skC2,
inference(obv,[status(thm),theory(equality)],[705]),
[iquote('0:Obv:705.0')] ).
cnf(708,plain,
( ~ equal(e3,e3)
| skC1 ),
inference(rew,[status(thm),theory(equality)],[11,39]),
[iquote('0:Rew:11.0,39.0')] ).
cnf(709,plain,
skC1,
inference(obv,[status(thm),theory(equality)],[708]),
[iquote('0:Obv:708.0')] ).
cnf(710,plain,
( equal(e4,e0)
| equal(e3,e1)
| equal(e2,e0)
| equal(e3,e2)
| equal(e4,e1)
| skC0 ),
inference(rew,[status(thm),theory(equality)],[35,406,30,25,20,15]),
[iquote('0:Rew:35.0,406.4,30.0,406.3,25.0,406.2,20.0,406.1,15.0,406.0')] ).
cnf(711,plain,
skC0,
inference(mrr,[status(thm)],[710,4,6,2,8,7]),
[iquote('0:MRR:710.0,710.1,710.2,710.3,710.4,4.0,6.0,2.0,8.0,7.0')] ).
cnf(720,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
| ~ 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
| ~ 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)],[17,415,35,24,30,34,15,25,33,26,20,32,31,28,11,29,22,19,27,14,23,18,12,13,21,16]),
[iquote('0:Rew:17.0,415.100,35.0,415.100,24.0,415.99,30.0,415.99,34.0,415.99,15.0,415.98,25.0,415.98,33.0,415.98,26.0,415.97,20.0,415.97,32.0,415.97,33.0,415.96,15.0,415.96,31.0,415.96,28.0,415.95,34.0,415.95,30.0,415.95,11.0,415.94,29.0,415.94,34.0,415.93,24.0,415.93,28.0,415.93,22.0,415.92,19.0,415.92,27.0,415.92,20.0,415.91,14.0,415.91,26.0,415.91,31.0,415.90,33.0,415.90,25.0,415.90,30.0,415.89,28.0,415.89,24.0,415.89,23.0,415.88,23.0,415.88,19.0,415.87,18.0,415.87,22.0,415.87,12.0,415.86,13.0,415.86,21.0,415.86,14.0,415.85,32.0,415.85,20.0,415.85,18.0,415.84,27.0,415.84,19.0,415.84,27.0,415.83,22.0,415.83,18.0,415.83,35.0,415.82,17.0,415.82,21.0,415.81,12.0,415.81,16.0,415.81,25.0,415.80,31.0,415.80,15.0,415.80,32.0,415.79,26.0,415.79,14.0,415.79,16.0,415.78,21.0,415.78,13.0,415.78,13.0,415.77,16.0,415.77,12.0,415.77,29.0,415.76,11.0,415.76,15.0,415.0')] ).
cnf(721,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 ),
inference(obv,[status(thm),theory(equality)],[720]),
[iquote('0:Obv:720.100')] ).
cnf(722,plain,
$false,
inference(mrr,[status(thm)],[721,711,709,706,702,696,691,689,683,681,676,672,669,664,661,657,655,649,647,642,639,633,629,625,619,617,614,609,605,600,597,593,588,586,580,574,572,569,563,561,557,554,551,545,543,539,534,529,527,521,515,510,506,502,497,494,491,489,486,483,478,472,470,465,461,459,453,449,444,440,438,436,430,427,424,419]),
[iquote('0:MRR:721.0,721.1,721.2,721.3,721.4,721.5,721.6,721.7,721.8,721.9,721.10,721.11,721.12,721.13,721.14,721.15,721.16,721.17,721.18,721.19,721.20,721.21,721.22,721.23,721.24,721.25,721.26,721.27,721.28,721.29,721.30,721.31,721.32,721.33,721.34,721.35,721.36,721.37,721.38,721.39,721.40,721.41,721.42,721.43,721.44,721.45,721.46,721.47,721.48,721.49,721.50,721.51,721.52,721.53,721.54,721.55,721.56,721.57,721.58,721.59,721.60,721.61,721.62,721.63,721.64,721.65,721.66,721.67,721.68,721.69,721.70,721.71,721.72,721.73,721.74,711.0,709.0,706.0,702.0,696.0,691.0,689.0,683.0,681.0,676.0,672.0,669.0,664.0,661.0,657.0,655.0,649.0,647.0,642.0,639.0,633.0,629.0,625.0,619.0,617.0,614.0,609.0,605.0,600.0,597.0,593.0,588.0,586.0,580.0,574.0,572.0,569.0,563.0,561.0,557.0,554.0,551.0,545.0,543.0,539.0,534.0,529.0,527.0,521.0,515.0,510.0,506.0,502.0,497.0,494.0,491.0,489.0,486.0,483.0,478.0,472.0,470.0,465.0,461.0,459.0,453.0,449.0,444.0,440.0,438.0,436.0,430.0,427.0,424.0,419.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG186+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 15:38:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.58
% 0.20/0.58 SPASS V 3.9
% 0.20/0.58 SPASS beiseite: Proof found.
% 0.20/0.58 % SZS status Theorem
% 0.20/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.58 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 111 clauses.
% 0.20/0.58 SPASS allocated 86598 KBytes.
% 0.20/0.58 SPASS spent 0:00:00.22 on the problem.
% 0.20/0.58 0:00:00.04 for the input.
% 0.20/0.58 0:00:00.14 for the FLOTTER CNF translation.
% 0.20/0.58 0:00:00.00 for inferences.
% 0.20/0.58 0:00:00.00 for the backtracking.
% 0.20/0.58 0:00:00.03 for the reduction.
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 Here is a proof with depth 0, length 259 :
% 0.20/0.58 % SZS output start Refutation
% See solution above
% 0.41/0.58 Formulae used in the proof : ax1 ax2 co1
% 0.41/0.58
%------------------------------------------------------------------------------