TSTP Solution File: HWV003-3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.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 : 300s
% DateTime : Wed Jul 27 12:58:02 EDT 2022
% Result : Unsatisfiable 1.68s 1.89s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 56
% Syntax : Number of clauses : 181 ( 7 unt; 128 nHn; 181 RR)
% Number of literals : 518 ( 0 equ; 118 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 23 ( 22 usr; 23 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ a11
| ~ a
| ~ b ),
file('HWV003-3.p',unknown),
[] ).
cnf(2,axiom,
( ~ a12
| ~ a
| ~ a11 ),
file('HWV003-3.p',unknown),
[] ).
cnf(3,plain,
( ~ a11
| ~ a
| ~ a12 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[2])]),
[iquote('copy,2,propositional')] ).
cnf(4,axiom,
( ~ a13
| ~ b
| ~ a11 ),
file('HWV003-3.p',unknown),
[] ).
cnf(5,plain,
( ~ a11
| ~ b
| ~ a13 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,propositional')] ).
cnf(6,axiom,
( ~ a14
| ~ a12
| ~ a13 ),
file('HWV003-3.p',unknown),
[] ).
cnf(7,plain,
( ~ a12
| ~ a13
| ~ a14 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[6])]),
[iquote('copy,6,propositional')] ).
cnf(8,axiom,
( ~ a15
| ~ a14
| ~ cI ),
file('HWV003-3.p',unknown),
[] ).
cnf(9,plain,
( ~ a14
| ~ a15
| ~ cI ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,propositional')] ).
cnf(10,axiom,
( ~ a16
| ~ a14
| ~ a15 ),
file('HWV003-3.p',unknown),
[] ).
cnf(11,plain,
( ~ a14
| ~ a15
| ~ a16 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,propositional')] ).
cnf(12,axiom,
( ~ a17
| ~ a15
| ~ cI ),
file('HWV003-3.p',unknown),
[] ).
cnf(13,plain,
( ~ a15
| ~ cI
| ~ a17 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[12])]),
[iquote('copy,12,propositional')] ).
cnf(14,axiom,
( ~ s1
| ~ a16
| ~ a17 ),
file('HWV003-3.p',unknown),
[] ).
cnf(15,plain,
( ~ a16
| ~ a17
| ~ s1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[14])]),
[iquote('copy,14,propositional')] ).
cnf(16,axiom,
( ~ c1
| ~ a15
| ~ a11 ),
file('HWV003-3.p',unknown),
[] ).
cnf(17,plain,
( ~ a11
| ~ a15
| ~ c1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[16])]),
[iquote('copy,16,propositional')] ).
cnf(18,axiom,
( a21
| a
| ~ b ),
file('HWV003-3.p',unknown),
[] ).
cnf(19,plain,
( ~ b
| a
| a21 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[18])]),
[iquote('copy,18,propositional')] ).
cnf(20,axiom,
( a21
| ~ a
| b ),
file('HWV003-3.p',unknown),
[] ).
cnf(21,plain,
( ~ a
| b
| a21 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[20])]),
[iquote('copy,20,propositional')] ).
cnf(22,axiom,
( ~ a21
| a
| b ),
file('HWV003-3.p',unknown),
[] ).
cnf(23,axiom,
( ~ a21
| ~ a
| ~ b ),
file('HWV003-3.p',unknown),
[] ).
cnf(24,plain,
( ~ a
| ~ b
| ~ a21 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[23])]),
[iquote('copy,23,propositional')] ).
cnf(25,axiom,
( ~ a22
| cI ),
file('HWV003-3.p',unknown),
[] ).
cnf(26,axiom,
( ~ a22
| a23 ),
file('HWV003-3.p',unknown),
[] ).
cnf(27,axiom,
( a22
| ~ cI
| ~ a23 ),
file('HWV003-3.p',unknown),
[] ).
cnf(28,plain,
( ~ cI
| ~ a23
| a22 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[27])]),
[iquote('copy,27,propositional')] ).
cnf(29,axiom,
( a23
| ~ a ),
file('HWV003-3.p',unknown),
[] ).
cnf(30,plain,
( ~ a
| a23 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[29])]),
[iquote('copy,29,propositional')] ).
cnf(31,axiom,
( a23
| ~ b ),
file('HWV003-3.p',unknown),
[] ).
cnf(32,plain,
( ~ b
| a23 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[31])]),
[iquote('copy,31,propositional')] ).
cnf(33,axiom,
( ~ a23
| a
| b ),
file('HWV003-3.p',unknown),
[] ).
cnf(34,axiom,
( ~ a24
| ~ cI ),
file('HWV003-3.p',unknown),
[] ).
cnf(35,plain,
( ~ cI
| ~ a24 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[34])]),
[iquote('copy,34,propositional')] ).
cnf(36,axiom,
( ~ a25
| a ),
file('HWV003-3.p',unknown),
[] ).
cnf(37,axiom,
( ~ a25
| b ),
file('HWV003-3.p',unknown),
[] ).
cnf(38,axiom,
( a25
| ~ a
| ~ b ),
file('HWV003-3.p',unknown),
[] ).
cnf(39,plain,
( ~ a
| ~ b
| a25 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[38])]),
[iquote('copy,38,propositional')] ).
cnf(41,axiom,
( ~ a26
| a25 ),
file('HWV003-3.p',unknown),
[] ).
cnf(42,axiom,
( a26
| ~ a24
| ~ a25 ),
file('HWV003-3.p',unknown),
[] ).
cnf(43,plain,
( ~ a24
| ~ a25
| a26 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[42])]),
[iquote('copy,42,propositional')] ).
cnf(44,axiom,
( s2
| cI
| ~ a21 ),
file('HWV003-3.p',unknown),
[] ).
cnf(45,plain,
( ~ a21
| cI
| s2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[44])]),
[iquote('copy,44,propositional')] ).
cnf(46,axiom,
( s2
| ~ cI
| a21 ),
file('HWV003-3.p',unknown),
[] ).
cnf(47,plain,
( ~ cI
| a21
| s2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[46])]),
[iquote('copy,46,propositional')] ).
cnf(48,axiom,
( ~ s2
| cI
| a21 ),
file('HWV003-3.p',unknown),
[] ).
cnf(49,axiom,
( ~ s2
| ~ cI
| ~ a21 ),
file('HWV003-3.p',unknown),
[] ).
cnf(50,plain,
( ~ cI
| ~ a21
| ~ s2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[49])]),
[iquote('copy,49,propositional')] ).
cnf(51,axiom,
( c2
| ~ a22 ),
file('HWV003-3.p',unknown),
[] ).
cnf(52,plain,
( ~ a22
| c2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[51])]),
[iquote('copy,51,propositional')] ).
cnf(53,axiom,
( c2
| ~ a26 ),
file('HWV003-3.p',unknown),
[] ).
cnf(54,plain,
( ~ a26
| c2 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[53])]),
[iquote('copy,53,propositional')] ).
cnf(55,axiom,
( ~ c2
| a22
| a26 ),
file('HWV003-3.p',unknown),
[] ).
cnf(60,axiom,
( ~ conjline18
| s1
| s2 ),
file('HWV003-3.p',unknown),
[] ).
cnf(61,axiom,
( ~ conjline18
| ~ s1
| ~ s2 ),
file('HWV003-3.p',unknown),
[] ).
cnf(62,plain,
( ~ s1
| ~ s2
| ~ conjline18 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[61])]),
[iquote('copy,61,propositional')] ).
cnf(67,axiom,
( ~ conjline19
| c1
| c2 ),
file('HWV003-3.p',unknown),
[] ).
cnf(68,axiom,
( ~ conjline19
| ~ c1
| ~ c2 ),
file('HWV003-3.p',unknown),
[] ).
cnf(69,plain,
( ~ c1
| ~ c2
| ~ conjline19 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[68])]),
[iquote('copy,68,propositional')] ).
cnf(70,axiom,
( a11
| a ),
file('HWV003-3.p',unknown),
[] ).
cnf(71,axiom,
( a11
| b ),
file('HWV003-3.p',unknown),
[] ).
cnf(72,axiom,
( a12
| a ),
file('HWV003-3.p',unknown),
[] ).
cnf(73,plain,
( a
| a12 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[72])]),
[iquote('copy,72,propositional')] ).
cnf(74,axiom,
( a12
| a11 ),
file('HWV003-3.p',unknown),
[] ).
cnf(75,plain,
( a11
| a12 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[74])]),
[iquote('copy,74,propositional')] ).
cnf(76,axiom,
( a13
| b ),
file('HWV003-3.p',unknown),
[] ).
cnf(77,plain,
( b
| a13 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[76])]),
[iquote('copy,76,propositional')] ).
cnf(78,axiom,
( a13
| a11 ),
file('HWV003-3.p',unknown),
[] ).
cnf(79,plain,
( a11
| a13 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[78])]),
[iquote('copy,78,propositional')] ).
cnf(80,axiom,
( a14
| a12 ),
file('HWV003-3.p',unknown),
[] ).
cnf(81,plain,
( a12
| a14 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[80])]),
[iquote('copy,80,propositional')] ).
cnf(82,axiom,
( a14
| a13 ),
file('HWV003-3.p',unknown),
[] ).
cnf(83,plain,
( a13
| a14 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[82])]),
[iquote('copy,82,propositional')] ).
cnf(84,axiom,
( a15
| a14 ),
file('HWV003-3.p',unknown),
[] ).
cnf(85,plain,
( a14
| a15 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[84])]),
[iquote('copy,84,propositional')] ).
cnf(86,axiom,
( a15
| cI ),
file('HWV003-3.p',unknown),
[] ).
cnf(87,axiom,
( a16
| a14 ),
file('HWV003-3.p',unknown),
[] ).
cnf(88,plain,
( a14
| a16 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[87])]),
[iquote('copy,87,propositional')] ).
cnf(89,axiom,
( a16
| a15 ),
file('HWV003-3.p',unknown),
[] ).
cnf(90,plain,
( a15
| a16 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[89])]),
[iquote('copy,89,propositional')] ).
cnf(91,axiom,
( a17
| a15 ),
file('HWV003-3.p',unknown),
[] ).
cnf(92,plain,
( a15
| a17 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[91])]),
[iquote('copy,91,propositional')] ).
cnf(93,axiom,
( a17
| cI ),
file('HWV003-3.p',unknown),
[] ).
cnf(94,plain,
( cI
| a17 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[93])]),
[iquote('copy,93,propositional')] ).
cnf(95,axiom,
( s1
| a16 ),
file('HWV003-3.p',unknown),
[] ).
cnf(96,plain,
( a16
| s1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[95])]),
[iquote('copy,95,propositional')] ).
cnf(97,axiom,
( s1
| a17 ),
file('HWV003-3.p',unknown),
[] ).
cnf(98,plain,
( a17
| s1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[97])]),
[iquote('copy,97,propositional')] ).
cnf(99,axiom,
( c1
| a15 ),
file('HWV003-3.p',unknown),
[] ).
cnf(100,plain,
( a15
| c1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[99])]),
[iquote('copy,99,propositional')] ).
cnf(101,axiom,
( c1
| a11 ),
file('HWV003-3.p',unknown),
[] ).
cnf(102,plain,
( a11
| c1 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[101])]),
[iquote('copy,101,propositional')] ).
cnf(103,axiom,
( a24
| cI ),
file('HWV003-3.p',unknown),
[] ).
cnf(104,plain,
( cI
| a24 ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[103])]),
[iquote('copy,103,propositional')] ).
cnf(105,axiom,
( conjline18
| conjline19 ),
file('HWV003-3.p',unknown),
[] ).
cnf(106,plain,
( a11
| a23 ),
inference(hyper,[status(thm)],[71,32]),
[iquote('hyper,71,32')] ).
cnf(107,plain,
( a13
| a23 ),
inference(hyper,[status(thm)],[77,32]),
[iquote('hyper,77,32')] ).
cnf(108,plain,
( a
| a13
| a21 ),
inference(hyper,[status(thm)],[77,19]),
[iquote('hyper,77,19')] ).
cnf(110,plain,
( a17
| a21
| s2 ),
inference(hyper,[status(thm)],[94,47]),
[iquote('hyper,94,47')] ).
cnf(116,plain,
( c1
| c2
| conjline18 ),
inference(hyper,[status(thm)],[105,67]),
[iquote('hyper,105,67')] ).
cnf(118,plain,
( a11
| a17
| a22 ),
inference(hyper,[status(thm)],[106,28,94]),
[iquote('hyper,106,28,94')] ).
cnf(122,plain,
( a13
| a15
| a22 ),
inference(hyper,[status(thm)],[107,28,86]),
[iquote('hyper,107,28,86')] ).
cnf(123,plain,
( a
| a13
| cI
| s2 ),
inference(hyper,[status(thm)],[108,45]),
[iquote('hyper,108,45')] ).
cnf(132,plain,
( a17
| c1
| a21
| c2 ),
inference(hyper,[status(thm)],[116,62,98,110]),
[iquote('hyper,116,62,98,110')] ).
cnf(134,plain,
( s1
| c1
| s2
| c2 ),
inference(hyper,[status(thm)],[116,60]),
[iquote('hyper,116,60')] ).
cnf(135,plain,
( a11
| a17
| c2 ),
inference(hyper,[status(thm)],[118,52]),
[iquote('hyper,118,52')] ).
cnf(138,plain,
( a13
| a15
| c2 ),
inference(hyper,[status(thm)],[122,52]),
[iquote('hyper,122,52')] ).
cnf(139,plain,
( a11
| a17
| conjline18 ),
inference(hyper,[status(thm)],[135,69,102,105]),
[iquote('hyper,135,69,102,105')] ).
cnf(142,plain,
( a
| a13
| cI
| a16
| c1
| c2 ),
inference(hyper,[status(thm)],[123,62,96,116]),
[iquote('hyper,123,62,96,116')] ).
cnf(144,plain,
( a13
| a15
| conjline18 ),
inference(hyper,[status(thm)],[138,69,100,105]),
[iquote('hyper,138,69,100,105')] ).
cnf(146,plain,
( a11
| a17
| a21 ),
inference(hyper,[status(thm)],[139,62,98,110]),
[iquote('hyper,139,62,98,110')] ).
cnf(148,plain,
( a13
| a15
| s1
| s2 ),
inference(hyper,[status(thm)],[144,60]),
[iquote('hyper,144,60')] ).
cnf(151,plain,
( a17
| c1
| a21
| a22
| a26 ),
inference(hyper,[status(thm)],[132,55]),
[iquote('hyper,132,55')] ).
cnf(153,plain,
( cI
| s1
| c1
| a21
| c2 ),
inference(hyper,[status(thm)],[134,48]),
[iquote('hyper,134,48')] ).
cnf(157,plain,
( a
| a13
| a15
| s1 ),
inference(hyper,[status(thm)],[148,50,86,108]),
[iquote('hyper,148,50,86,108')] ).
cnf(158,plain,
( a
| a13
| a15 ),
inference(hyper,[status(thm)],[157,15,90,92]),
[iquote('hyper,157,15,90,92')] ).
cnf(160,plain,
( a
| a13
| a16
| c1
| c2 ),
inference(hyper,[status(thm)],[158,9,83,142]),
[iquote('hyper,158,9,83,142')] ).
cnf(161,plain,
( a
| a13
| a24 ),
inference(hyper,[status(thm)],[158,9,83,104]),
[iquote('hyper,158,9,83,104')] ).
cnf(164,plain,
( a
| a14
| a17
| a21
| a22
| a26 ),
inference(hyper,[status(thm)],[151,17,70,85]),
[iquote('hyper,151,17,70,85')] ).
cnf(166,plain,
( a
| a13
| a16
| c1
| a22
| a26 ),
inference(hyper,[status(thm)],[160,55]),
[iquote('hyper,160,55')] ).
cnf(169,plain,
( a
| a14
| a17
| a21
| a22
| a25 ),
inference(hyper,[status(thm)],[164,41]),
[iquote('hyper,164,41')] ).
cnf(172,plain,
( a
| a13
| a16
| a22
| a26 ),
inference(hyper,[status(thm)],[166,17,70,158]),
[iquote('hyper,166,17,70,158')] ).
cnf(174,plain,
( a
| a13
| a16
| a22
| a25 ),
inference(hyper,[status(thm)],[172,41]),
[iquote('hyper,172,41')] ).
cnf(175,plain,
( a
| a13
| a16
| a22 ),
inference(hyper,[status(thm)],[174,36]),
[iquote('hyper,174,36')] ).
cnf(177,plain,
( a
| a13
| cI
| a16 ),
inference(hyper,[status(thm)],[175,25]),
[iquote('hyper,175,25')] ).
cnf(179,plain,
( a
| a13
| a16 ),
inference(hyper,[status(thm)],[177,35,161]),
[iquote('hyper,177,35,161')] ).
cnf(181,plain,
( a
| a13 ),
inference(hyper,[status(thm)],[179,11,83,158]),
[iquote('hyper,179,11,83,158')] ).
cnf(183,plain,
( a
| a14
| a17
| a21
| a22 ),
inference(hyper,[status(thm)],[169,36]),
[iquote('hyper,169,36')] ).
cnf(185,plain,
( a
| a14
| a17
| a21
| a23 ),
inference(hyper,[status(thm)],[183,26]),
[iquote('hyper,183,26')] ).
cnf(186,plain,
( a
| b
| a14
| a17
| a21 ),
inference(hyper,[status(thm)],[185,33]),
[iquote('hyper,185,33')] ).
cnf(187,plain,
( a
| a14
| a17
| a21 ),
inference(hyper,[status(thm)],[186,19]),
[iquote('hyper,186,19')] ).
cnf(190,plain,
( a
| b
| a14
| a17 ),
inference(hyper,[status(thm)],[187,22]),
[iquote('hyper,187,22')] ).
cnf(192,plain,
( a
| a14
| a17 ),
inference(hyper,[status(thm)],[190,5,70,181]),
[iquote('hyper,190,5,70,181')] ).
cnf(193,plain,
( a
| a14
| cI
| c1
| a21
| c2 ),
inference(hyper,[status(thm)],[192,15,88,153]),
[iquote('hyper,192,15,88,153')] ).
cnf(195,plain,
( a
| a14
| a24 ),
inference(hyper,[status(thm)],[192,13,85,104]),
[iquote('hyper,192,13,85,104')] ).
cnf(197,plain,
( a
| a14
| c1
| a21
| c2 ),
inference(hyper,[status(thm)],[193,35,195]),
[iquote('hyper,193,35,195')] ).
cnf(199,plain,
( a
| a14
| c1
| a21
| a22
| a26 ),
inference(hyper,[status(thm)],[197,55]),
[iquote('hyper,197,55')] ).
cnf(201,plain,
( a
| a14
| a21
| a22
| a26 ),
inference(hyper,[status(thm)],[199,17,70,85]),
[iquote('hyper,199,17,70,85')] ).
cnf(203,plain,
( a
| a14
| a21
| a22
| a25 ),
inference(hyper,[status(thm)],[201,41]),
[iquote('hyper,201,41')] ).
cnf(205,plain,
( a
| a14
| a21
| a22 ),
inference(hyper,[status(thm)],[203,36]),
[iquote('hyper,203,36')] ).
cnf(208,plain,
( a
| a14
| cI
| a21 ),
inference(hyper,[status(thm)],[205,25]),
[iquote('hyper,205,25')] ).
cnf(211,plain,
( a
| a14
| a21 ),
inference(hyper,[status(thm)],[208,35,195]),
[iquote('hyper,208,35,195')] ).
cnf(213,plain,
( a
| b
| a14 ),
inference(hyper,[status(thm)],[211,22]),
[iquote('hyper,211,22')] ).
cnf(215,plain,
( a
| a14 ),
inference(hyper,[status(thm)],[213,5,70,181]),
[iquote('hyper,213,5,70,181')] ).
cnf(216,plain,
a,
inference(hyper,[status(thm)],[215,7,73,181]),
[iquote('hyper,215,7,73,181')] ).
cnf(218,plain,
( a11
| a25 ),
inference(hyper,[status(thm)],[216,39,71]),
[iquote('hyper,216,39,71')] ).
cnf(219,plain,
a23,
inference(hyper,[status(thm)],[216,30]),
[iquote('hyper,216,30')] ).
cnf(220,plain,
( a11
| a17 ),
inference(hyper,[status(thm)],[216,24,71,146]),
[iquote('hyper,216,24,71,146')] ).
cnf(221,plain,
( b
| a21 ),
inference(hyper,[status(thm)],[216,21]),
[iquote('hyper,216,21')] ).
cnf(222,plain,
( a22
| a24 ),
inference(hyper,[status(thm)],[219,28,104]),
[iquote('hyper,219,28,104')] ).
cnf(224,plain,
( a15
| a22 ),
inference(hyper,[status(thm)],[219,28,86]),
[iquote('hyper,219,28,86')] ).
cnf(226,plain,
( a11
| a14
| a24 ),
inference(hyper,[status(thm)],[220,13,85,104]),
[iquote('hyper,220,13,85,104')] ).
cnf(231,plain,
( a15
| c2 ),
inference(hyper,[status(thm)],[224,52]),
[iquote('hyper,224,52')] ).
cnf(234,plain,
( a15
| conjline18 ),
inference(hyper,[status(thm)],[231,69,100,105]),
[iquote('hyper,231,69,100,105')] ).
cnf(236,plain,
( a11
| a14
| a26 ),
inference(hyper,[status(thm)],[226,43,218]),
[iquote('hyper,226,43,218')] ).
cnf(237,plain,
( a15
| s1
| s2 ),
inference(hyper,[status(thm)],[234,60]),
[iquote('hyper,234,60')] ).
cnf(241,plain,
( a11
| a14
| c2 ),
inference(hyper,[status(thm)],[236,54]),
[iquote('hyper,236,54')] ).
cnf(245,plain,
( a11
| a14
| conjline18 ),
inference(hyper,[status(thm)],[241,69,102,105]),
[iquote('hyper,241,69,102,105')] ).
cnf(247,plain,
( a11
| a14
| s1
| s2 ),
inference(hyper,[status(thm)],[245,60]),
[iquote('hyper,245,60')] ).
cnf(249,plain,
( a11
| a14
| cI
| s1
| a21 ),
inference(hyper,[status(thm)],[247,48]),
[iquote('hyper,247,48')] ).
cnf(251,plain,
( a11
| a14
| cI
| a21 ),
inference(hyper,[status(thm)],[249,15,88,220]),
[iquote('hyper,249,15,88,220')] ).
cnf(253,plain,
( a11
| a14
| a21 ),
inference(hyper,[status(thm)],[251,35,226]),
[iquote('hyper,251,35,226')] ).
cnf(255,plain,
( a11
| a14 ),
inference(hyper,[status(thm)],[253,24,216,71]),
[iquote('hyper,253,24,216,71')] ).
cnf(256,plain,
a11,
inference(hyper,[status(thm)],[255,7,75,79]),
[iquote('hyper,255,7,75,79')] ).
cnf(257,plain,
a21,
inference(hyper,[status(thm)],[256,1,216,221]),
[iquote('hyper,256,1,216,221')] ).
cnf(264,plain,
( a15
| s1 ),
inference(hyper,[status(thm)],[257,50,86,237]),
[iquote('hyper,257,50,86,237')] ).
cnf(265,plain,
( cI
| s2 ),
inference(hyper,[status(thm)],[257,45]),
[iquote('hyper,257,45')] ).
cnf(266,plain,
a15,
inference(hyper,[status(thm)],[264,15,90,92]),
[iquote('hyper,264,15,90,92')] ).
cnf(267,plain,
( a12
| a24 ),
inference(hyper,[status(thm)],[266,9,81,104]),
[iquote('hyper,266,9,81,104')] ).
cnf(269,plain,
( cI
| a16
| c1
| c2 ),
inference(hyper,[status(thm)],[265,62,96,116]),
[iquote('hyper,265,62,96,116')] ).
cnf(272,plain,
( a16
| c1
| a22
| c2 ),
inference(hyper,[status(thm)],[269,35,222]),
[iquote('hyper,269,35,222')] ).
cnf(276,plain,
( a16
| c1
| a22
| a26 ),
inference(hyper,[status(thm)],[272,55]),
[iquote('hyper,272,55')] ).
cnf(278,plain,
( a16
| a22
| a26 ),
inference(hyper,[status(thm)],[276,17,256,266]),
[iquote('hyper,276,17,256,266')] ).
cnf(280,plain,
( a16
| a22
| a25 ),
inference(hyper,[status(thm)],[278,41]),
[iquote('hyper,278,41')] ).
cnf(281,plain,
( b
| a16
| a22 ),
inference(hyper,[status(thm)],[280,37]),
[iquote('hyper,280,37')] ).
cnf(282,plain,
( a16
| a22 ),
inference(hyper,[status(thm)],[281,24,216,257]),
[iquote('hyper,281,24,216,257')] ).
cnf(284,plain,
( cI
| a16 ),
inference(hyper,[status(thm)],[282,25]),
[iquote('hyper,282,25')] ).
cnf(287,plain,
( a12
| a16 ),
inference(hyper,[status(thm)],[284,35,267]),
[iquote('hyper,284,35,267')] ).
cnf(289,plain,
a12,
inference(hyper,[status(thm)],[287,11,81,266]),
[iquote('hyper,287,11,81,266')] ).
cnf(290,plain,
$false,
inference(hyper,[status(thm)],[289,3,256,216]),
[iquote('hyper,289,3,256,216')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HWV003-3 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:37:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.68/1.88 ----- Otter 3.3f, August 2004 -----
% 1.68/1.88 The process was started by sandbox2 on n012.cluster.edu,
% 1.68/1.88 Wed Jul 27 06:37:05 2022
% 1.68/1.88 The command was "./otter". The process ID is 20546.
% 1.68/1.88
% 1.68/1.88 set(prolog_style_variables).
% 1.68/1.88 set(auto).
% 1.68/1.88 dependent: set(auto1).
% 1.68/1.88 dependent: set(process_input).
% 1.68/1.88 dependent: clear(print_kept).
% 1.68/1.88 dependent: clear(print_new_demod).
% 1.68/1.88 dependent: clear(print_back_demod).
% 1.68/1.88 dependent: clear(print_back_sub).
% 1.68/1.88 dependent: set(control_memory).
% 1.68/1.88 dependent: assign(max_mem, 12000).
% 1.68/1.88 dependent: assign(pick_given_ratio, 4).
% 1.68/1.88 dependent: assign(stats_level, 1).
% 1.68/1.88 dependent: assign(max_seconds, 10800).
% 1.68/1.88 clear(print_given).
% 1.68/1.88
% 1.68/1.88 list(usable).
% 1.68/1.88 0 [] a11|a.
% 1.68/1.88 0 [] a11|b.
% 1.68/1.88 0 [] -a11| -a| -b.
% 1.68/1.88 0 [] a12|a.
% 1.68/1.88 0 [] a12|a11.
% 1.68/1.88 0 [] -a12| -a| -a11.
% 1.68/1.88 0 [] a13|b.
% 1.68/1.88 0 [] a13|a11.
% 1.68/1.88 0 [] -a13| -b| -a11.
% 1.68/1.88 0 [] a14|a12.
% 1.68/1.88 0 [] a14|a13.
% 1.68/1.88 0 [] -a14| -a12| -a13.
% 1.68/1.88 0 [] a15|a14.
% 1.68/1.88 0 [] a15|cI.
% 1.68/1.88 0 [] -a15| -a14| -cI.
% 1.68/1.88 0 [] a16|a14.
% 1.68/1.88 0 [] a16|a15.
% 1.68/1.88 0 [] -a16| -a14| -a15.
% 1.68/1.88 0 [] a17|a15.
% 1.68/1.88 0 [] a17|cI.
% 1.68/1.88 0 [] -a17| -a15| -cI.
% 1.68/1.88 0 [] s1|a16.
% 1.68/1.88 0 [] s1|a17.
% 1.68/1.88 0 [] -s1| -a16| -a17.
% 1.68/1.88 0 [] c1|a15.
% 1.68/1.88 0 [] c1|a11.
% 1.68/1.88 0 [] -c1| -a15| -a11.
% 1.68/1.88 0 [] a21|a| -b.
% 1.68/1.88 0 [] a21| -a|b.
% 1.68/1.88 0 [] -a21|a|b.
% 1.68/1.88 0 [] -a21| -a| -b.
% 1.68/1.88 0 [] -a22|cI.
% 1.68/1.88 0 [] -a22|a23.
% 1.68/1.88 0 [] a22| -cI| -a23.
% 1.68/1.88 0 [] a23| -a.
% 1.68/1.88 0 [] a23| -b.
% 1.68/1.88 0 [] -a23|a|b.
% 1.68/1.88 0 [] a24|cI.
% 1.68/1.88 0 [] -a24| -cI.
% 1.68/1.88 0 [] -a25|a.
% 1.68/1.88 0 [] -a25|b.
% 1.68/1.88 0 [] a25| -a| -b.
% 1.68/1.88 0 [] -a26|a24.
% 1.68/1.88 0 [] -a26|a25.
% 1.68/1.88 0 [] a26| -a24| -a25.
% 1.68/1.88 0 [] s2|cI| -a21.
% 1.68/1.88 0 [] s2| -cI|a21.
% 1.68/1.88 0 [] -s2|cI|a21.
% 1.68/1.88 0 [] -s2| -cI| -a21.
% 1.68/1.88 0 [] c2| -a22.
% 1.68/1.88 0 [] c2| -a26.
% 1.68/1.88 0 [] -c2|a22|a26.
% 1.68/1.88 0 [] conjline18|s1| -s2.
% 1.68/1.88 0 [] conjline18| -s1|s2.
% 1.68/1.88 0 [] -conjline18|s1|s2.
% 1.68/1.88 0 [] -conjline18| -s1| -s2.
% 1.68/1.88 0 [] conjline19|c1| -c2.
% 1.68/1.88 0 [] conjline19| -c1|c2.
% 1.68/1.88 0 [] -conjline19|c1|c2.
% 1.68/1.88 0 [] -conjline19| -c1| -c2.
% 1.68/1.88 0 [] conjline18|conjline19.
% 1.68/1.88 end_of_list.
% 1.68/1.88
% 1.68/1.88 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=3.
% 1.68/1.88
% 1.68/1.88 The clause set is propositional; the strategy will be
% 1.68/1.88 ordered hyperresolution with the propositional
% 1.68/1.88 optimizations, with satellites in sos and nuclei in usable.
% 1.68/1.88
% 1.68/1.88 dependent: set(hyper_res).
% 1.68/1.88 dependent: set(propositional).
% 1.68/1.88 dependent: set(sort_literals).
% 1.68/1.88
% 1.68/1.88 ------------> process usable:
% 1.68/1.88 ** KEPT (pick-wt=3): 1 [] -a11| -a| -b.
% 1.68/1.88 ** KEPT (pick-wt=3): 3 [copy,2,propositional] -a11| -a| -a12.
% 1.68/1.88 ** KEPT (pick-wt=3): 5 [copy,4,propositional] -a11| -b| -a13.
% 1.68/1.88 ** KEPT (pick-wt=3): 7 [copy,6,propositional] -a12| -a13| -a14.
% 1.68/1.88 ** KEPT (pick-wt=3): 9 [copy,8,propositional] -a14| -a15| -cI.
% 1.68/1.88 ** KEPT (pick-wt=3): 11 [copy,10,propositional] -a14| -a15| -a16.
% 1.68/1.88 ** KEPT (pick-wt=3): 13 [copy,12,propositional] -a15| -cI| -a17.
% 1.68/1.88 ** KEPT (pick-wt=3): 15 [copy,14,propositional] -a16| -a17| -s1.
% 1.68/1.88 ** KEPT (pick-wt=3): 17 [copy,16,propositional] -a11| -a15| -c1.
% 1.68/1.88 ** KEPT (pick-wt=3): 19 [copy,18,propositional] -b|a|a21.
% 1.68/1.88 ** KEPT (pick-wt=3): 21 [copy,20,propositional] -a|b|a21.
% 1.68/1.88 ** KEPT (pick-wt=3): 22 [] -a21|a|b.
% 1.68/1.88 ** KEPT (pick-wt=3): 24 [copy,23,propositional] -a| -b| -a21.
% 1.68/1.88 ** KEPT (pick-wt=2): 25 [] -a22|cI.
% 1.68/1.88 ** KEPT (pick-wt=2): 26 [] -a22|a23.
% 1.68/1.88 ** KEPT (pick-wt=3): 28 [copy,27,propositional] -cI| -a23|a22.
% 1.68/1.88 ** KEPT (pick-wt=2): 30 [copy,29,propositional] -a|a23.
% 1.68/1.88 ** KEPT (pick-wt=2): 32 [copy,31,propositional] -b|a23.
% 1.68/1.88 ** KEPT (pick-wt=3): 33 [] -a23|a|b.
% 1.68/1.88 ** KEPT (pick-wt=2): 35 [copy,34,propositional] -cI| -a24.
% 1.68/1.88 ** KEPT (pick-wt=2): 36 [] -a25|a.
% 1.68/1.88 ** KEPT (pick-wt=2): 37 [] -a25|b.
% 1.68/1.88 ** KEPT (pick-wt=3): 39 [copy,38,propositional] -a| -b|a25.
% 1.68/1.88 ** KEPT (pick-wt=2): 40 [] -a26|a24.
% 1.68/1.88 ** KEPT (pick-wt=2): 41 [] -a26|a25.
% 1.68/1.88 ** KEPT (pick-wt=3): 43 [copy,42,propositional] -a24| -a25|a26.
% 1.68/1.88 ** KEPT (pick-wt=3): 45 [copy,44,propositional] -a21|cI|s2.
% 1.68/1.88 ** KEPT (pick-wt=3): 47 [copy,46,propositional] -cI|a21|s2.
% 1.68/1.88 ** KEPT (pick-wt=3): 48 [] -s2|cI|a21.
% 1.68/1.88 ** KEPT (pick-wt=3): 50 [copy,49,propositional] -cI| -a21| -s2.
% 1.68/1.88 ** KEPT (pick-wt=2): 52 [copy,51,propositional] -a22|c2.
% 1.68/1.88 ** KEPT (pick-wt=2): 54 [copy,53,propositional] -a26|c2.
% 1.68/1.88 ** KEPT (pick-wt=3): 55 [] -c2|a22|a26.
% 1.68/1.88 ** KEPT (pick-wt=3): 57 [copy,56,propositional] -s2|s1|conjline18.
% 1.68/1.88 ** KEPT (pick-wt=3): 59 [copy,58,propositional] -s1|s2|conjline18.
% 1.68/1.88 ** KEPT (pick-wt=3): 60 [] -conjline18|s1|s2.
% 1.68/1.88 ** KEPT (pick-wt=3): 62 [copy,61,propositional] -s1| -s2| -conjline18.
% 1.68/1.89 ** KEPT (pick-wt=3): 64 [copy,63,propositional] -c2|c1|conjline19.
% 1.68/1.89 ** KEPT (pick-wt=3): 66 [copy,65,propositional] -c1|c2|conjline19.
% 1.68/1.89 ** KEPT (pick-wt=3): 67 [] -conjline19|c1|c2.
% 1.68/1.89 ** KEPT (pick-wt=3): 69 [copy,68,propositional] -c1| -c2| -conjline19.
% 1.68/1.89
% 1.68/1.89 ------------> process sos:
% 1.68/1.89 ** KEPT (pick-wt=2): 70 [] a11|a.
% 1.68/1.89 ** KEPT (pick-wt=2): 71 [] a11|b.
% 1.68/1.89 ** KEPT (pick-wt=2): 73 [copy,72,propositional] a|a12.
% 1.68/1.89 ** KEPT (pick-wt=2): 75 [copy,74,propositional] a11|a12.
% 1.68/1.89 ** KEPT (pick-wt=2): 77 [copy,76,propositional] b|a13.
% 1.68/1.89 ** KEPT (pick-wt=2): 79 [copy,78,propositional] a11|a13.
% 1.68/1.89 ** KEPT (pick-wt=2): 81 [copy,80,propositional] a12|a14.
% 1.68/1.89 ** KEPT (pick-wt=2): 83 [copy,82,propositional] a13|a14.
% 1.68/1.89 ** KEPT (pick-wt=2): 85 [copy,84,propositional] a14|a15.
% 1.68/1.89 ** KEPT (pick-wt=2): 86 [] a15|cI.
% 1.68/1.89 ** KEPT (pick-wt=2): 88 [copy,87,propositional] a14|a16.
% 1.68/1.89 ** KEPT (pick-wt=2): 90 [copy,89,propositional] a15|a16.
% 1.68/1.89 ** KEPT (pick-wt=2): 92 [copy,91,propositional] a15|a17.
% 1.68/1.89 ** KEPT (pick-wt=2): 94 [copy,93,propositional] cI|a17.
% 1.68/1.89 ** KEPT (pick-wt=2): 96 [copy,95,propositional] a16|s1.
% 1.68/1.89 ** KEPT (pick-wt=2): 98 [copy,97,propositional] a17|s1.
% 1.68/1.89 ** KEPT (pick-wt=2): 100 [copy,99,propositional] a15|c1.
% 1.68/1.89 ** KEPT (pick-wt=2): 102 [copy,101,propositional] a11|c1.
% 1.68/1.89 ** KEPT (pick-wt=2): 104 [copy,103,propositional] cI|a24.
% 1.68/1.89 ** KEPT (pick-wt=2): 105 [] conjline18|conjline19.
% 1.68/1.89
% 1.68/1.89 ======= end of input processing =======
% 1.68/1.89
% 1.68/1.89 =========== start of search ===========
% 1.68/1.89
% 1.68/1.89 -------- PROOF --------
% 1.68/1.89
% 1.68/1.89 -----> EMPTY CLAUSE at 0.01 sec ----> 290 [hyper,289,3,256,216] $F.
% 1.68/1.89
% 1.68/1.89 Length of proof is 124. Level of proof is 51.
% 1.68/1.89
% 1.68/1.89 ---------------- PROOF ----------------
% 1.68/1.89 % SZS status Unsatisfiable
% 1.68/1.89 % SZS output start Refutation
% See solution above
% 1.68/1.89 ------------ end of proof -------------
% 1.68/1.89
% 1.68/1.89
% 1.68/1.89 Search stopped by max_proofs option.
% 1.68/1.89
% 1.68/1.89
% 1.68/1.89 Search stopped by max_proofs option.
% 1.68/1.89
% 1.68/1.89 ============ end of search ============
% 1.68/1.89
% 1.68/1.89 -------------- statistics -------------
% 1.68/1.89 clauses given 172
% 1.68/1.89 clauses generated 2171
% 1.68/1.89 clauses kept 245
% 1.68/1.89 clauses forward subsumed 1986
% 1.68/1.89 clauses back subsumed 187
% 1.68/1.89 Kbytes malloced 976
% 1.68/1.89
% 1.68/1.89 ----------- times (seconds) -----------
% 1.68/1.89 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.68/1.89 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.68/1.89 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 1.68/1.89
% 1.68/1.89 That finishes the proof of the theorem.
% 1.68/1.89
% 1.68/1.89 Process 20546 finished Wed Jul 27 06:37:07 2022
% 1.68/1.89 Otter interrupted
% 1.68/1.89 PROOF FOUND
%------------------------------------------------------------------------------