TSTP Solution File: PUZ030-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:11:25 EDT 2022
% Result : Unsatisfiable 2.01s 2.18s
% Output : Refutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 45
% Syntax : Number of clauses : 135 ( 9 unt; 91 nHn; 135 RR)
% Number of literals : 418 ( 0 equ; 152 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ salt_mill
| mustard_barry
| mustard_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ mustard_lang
| ~ mustard_cole
| ~ mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ mustard_lang
| ~ mustard_cole
| ~ salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(9,plain,
( ~ salt_mill
| ~ mustard_lang
| ~ mustard_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,propositional')] ).
cnf(12,axiom,
( ~ mustard_lang
| ~ salt_cole
| ~ salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(13,plain,
( ~ salt_mill
| ~ mustard_lang
| ~ salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[12])]),
[iquote('copy,12,propositional')] ).
cnf(16,axiom,
( ~ mustard_dix
| ~ mustard_lang
| ~ salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(17,plain,
( ~ salt_mill
| ~ mustard_lang
| ~ mustard_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[16])]),
[iquote('copy,16,propositional')] ).
cnf(18,axiom,
( ~ mustard_dix
| ~ salt_lang
| ~ mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(19,plain,
( ~ salt_lang
| ~ mustard_mill
| ~ mustard_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[18])]),
[iquote('copy,18,propositional')] ).
cnf(20,axiom,
( ~ mustard_dix
| ~ salt_lang
| ~ salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(21,plain,
( ~ salt_mill
| ~ salt_lang
| ~ mustard_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[20])]),
[iquote('copy,20,propositional')] ).
cnf(24,axiom,
( ~ salt_dix
| ~ mustard_barry
| salt_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(25,plain,
( ~ mustard_barry
| ~ salt_dix
| salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[24])]),
[iquote('copy,24,propositional')] ).
cnf(26,axiom,
( ~ salt_dix
| ~ salt_barry
| mustard_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(27,plain,
( ~ salt_barry
| ~ salt_dix
| mustard_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[26])]),
[iquote('copy,26,propositional')] ).
cnf(28,axiom,
( ~ salt_dix
| ~ salt_barry
| salt_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(29,plain,
( ~ salt_barry
| ~ salt_dix
| salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[28])]),
[iquote('copy,28,propositional')] ).
cnf(30,axiom,
( ~ mustard_cole
| mustard_dix
| mustard_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(31,plain,
( ~ mustard_cole
| mustard_lang
| mustard_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[30])]),
[iquote('copy,30,propositional')] ).
cnf(34,axiom,
( ~ mustard_cole
| salt_dix
| mustard_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(35,plain,
( ~ mustard_cole
| mustard_lang
| salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[34])]),
[iquote('copy,34,propositional')] ).
cnf(36,axiom,
( ~ mustard_cole
| salt_dix
| salt_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(37,plain,
( ~ mustard_cole
| salt_lang
| salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[36])]),
[iquote('copy,36,propositional')] ).
cnf(38,axiom,
( ~ mustard_barry
| ~ mustard_dix
| mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(39,axiom,
( ~ mustard_barry
| ~ mustard_dix
| salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(44,axiom,
( ~ salt_dix
| mustard_dix
| mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(45,plain,
( ~ salt_dix
| mustard_mill
| mustard_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[44])]),
[iquote('copy,44,propositional')] ).
cnf(48,axiom,
( ~ salt_cole
| mustard_cole
| mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(49,axiom,
( ~ salt_lang
| ~ mustard_lang
| salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(50,plain,
( ~ mustard_lang
| ~ salt_lang
| salt_mill ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[49])]),
[iquote('copy,49,propositional')] ).
cnf(51,axiom,
( ~ salt_barry
| ~ mustard_barry
| salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(52,plain,
( ~ mustard_barry
| ~ salt_barry
| salt_mill ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[51])]),
[iquote('copy,51,propositional')] ).
cnf(55,axiom,
( ~ salt_dix
| mustard_dix
| salt_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(56,plain,
( ~ salt_dix
| salt_lang
| mustard_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[55])]),
[iquote('copy,55,propositional')] ).
cnf(57,axiom,
( salt_barry
| ~ mustard_barry
| salt_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(58,plain,
( ~ mustard_barry
| salt_lang
| salt_barry ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[57])]),
[iquote('copy,57,propositional')] ).
cnf(59,axiom,
( ~ salt_barry
| mustard_barry
| salt_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(62,axiom,
( ~ salt_lang
| ~ mustard_lang
| mustard_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(63,plain,
( ~ mustard_lang
| ~ salt_lang
| mustard_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[62])]),
[iquote('copy,62,propositional')] ).
cnf(64,axiom,
( ~ salt_dix
| ~ mustard_dix
| mustard_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(65,plain,
( ~ mustard_dix
| ~ salt_dix
| mustard_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[64])]),
[iquote('copy,64,propositional')] ).
cnf(66,axiom,
( salt_barry
| ~ mustard_barry
| salt_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(67,plain,
( ~ mustard_barry
| salt_barry
| salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[66])]),
[iquote('copy,66,propositional')] ).
cnf(68,axiom,
( ~ salt_barry
| mustard_barry
| salt_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(70,axiom,
( salt_lang
| ~ mustard_lang
| salt_barry ),
file('PUZ030-2.p',unknown),
[] ).
cnf(71,plain,
( ~ mustard_lang
| salt_lang
| salt_barry ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[70])]),
[iquote('copy,70,propositional')] ).
cnf(72,axiom,
( ~ salt_lang
| mustard_lang
| salt_barry ),
file('PUZ030-2.p',unknown),
[] ).
cnf(73,axiom,
( salt_cole
| ~ mustard_cole
| salt_barry ),
file('PUZ030-2.p',unknown),
[] ).
cnf(74,plain,
( ~ mustard_cole
| salt_barry
| salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[73])]),
[iquote('copy,73,propositional')] ).
cnf(75,axiom,
( ~ salt_cole
| mustard_cole
| salt_barry ),
file('PUZ030-2.p',unknown),
[] ).
cnf(76,plain,
( ~ salt_cole
| salt_barry
| mustard_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[75])]),
[iquote('copy,75,propositional')] ).
cnf(77,axiom,
( ~ salt_cole
| ~ mustard_barry
| ~ salt_barry
| ~ mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(78,plain,
( ~ mustard_barry
| ~ salt_barry
| ~ mustard_mill
| ~ salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[77])]),
[iquote('copy,77,propositional')] ).
cnf(79,axiom,
( ~ salt_cole
| ~ mustard_barry
| ~ salt_barry
| ~ salt_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(80,plain,
( ~ salt_mill
| ~ mustard_barry
| ~ salt_barry
| ~ salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[79])]),
[iquote('copy,79,propositional')] ).
cnf(81,axiom,
( ~ salt_cole
| salt_barry
| mustard_barry
| ~ mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(82,plain,
( ~ mustard_mill
| ~ salt_cole
| mustard_barry
| salt_barry ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[81])]),
[iquote('copy,81,propositional')] ).
cnf(85,axiom,
( ~ mustard_mill
| ~ mustard_cole
| ~ salt_cole
| ~ mustard_dix
| ~ salt_dix ),
file('PUZ030-2.p',unknown),
[] ).
cnf(86,plain,
( ~ mustard_cole
| ~ mustard_mill
| ~ salt_cole
| ~ mustard_dix
| ~ salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[85])]),
[iquote('copy,85,propositional')] ).
cnf(87,axiom,
( ~ mustard_mill
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix ),
file('PUZ030-2.p',unknown),
[] ).
cnf(88,plain,
( ~ mustard_mill
| mustard_cole
| salt_cole
| mustard_dix
| salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[87])]),
[iquote('copy,87,propositional')] ).
cnf(91,axiom,
( ~ salt_lang
| ~ mustard_barry
| ~ salt_barry
| salt_dix
| mustard_dix ),
file('PUZ030-2.p',unknown),
[] ).
cnf(92,plain,
( ~ mustard_barry
| ~ salt_lang
| ~ salt_barry
| mustard_dix
| salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[91])]),
[iquote('copy,91,propositional')] ).
cnf(93,axiom,
( ~ salt_lang
| salt_barry
| mustard_barry
| ~ mustard_dix
| ~ salt_dix ),
file('PUZ030-2.p',unknown),
[] ).
cnf(94,plain,
( ~ salt_lang
| ~ mustard_dix
| ~ salt_dix
| mustard_barry
| salt_barry ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[93])]),
[iquote('copy,93,propositional')] ).
cnf(95,axiom,
( ~ salt_barry
| ~ mustard_cole
| ~ salt_cole
| ~ mustard_lang
| ~ salt_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(96,plain,
( ~ mustard_lang
| ~ salt_lang
| ~ salt_barry
| ~ mustard_cole
| ~ salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[95])]),
[iquote('copy,95,propositional')] ).
cnf(99,axiom,
( salt_lang
| ~ mustard_barry
| ~ salt_barry
| ~ salt_mill
| ~ mustard_lang
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix
| mustard_mill ),
file('PUZ030-2.p',unknown),
[] ).
cnf(100,plain,
( ~ salt_mill
| ~ mustard_barry
| ~ mustard_lang
| ~ salt_barry
| salt_lang
| mustard_cole
| mustard_mill
| salt_cole
| mustard_dix
| salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[99])]),
[iquote('copy,99,propositional')] ).
cnf(101,axiom,
( salt_mill
| mustard_mill
| mustard_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(102,plain,
( salt_mill
| mustard_lang
| mustard_mill ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[101])]),
[iquote('copy,101,propositional')] ).
cnf(103,axiom,
( salt_cole
| mustard_cole
| mustard_lang ),
file('PUZ030-2.p',unknown),
[] ).
cnf(104,plain,
( mustard_lang
| mustard_cole
| salt_cole ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[103])]),
[iquote('copy,103,propositional')] ).
cnf(106,axiom,
( salt_lang
| mustard_lang
| mustard_dix ),
file('PUZ030-2.p',unknown),
[] ).
cnf(107,plain,
( mustard_lang
| salt_lang
| mustard_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[106])]),
[iquote('copy,106,propositional')] ).
cnf(108,axiom,
( salt_barry
| mustard_barry
| salt_dix ),
file('PUZ030-2.p',unknown),
[] ).
cnf(109,plain,
( mustard_barry
| salt_barry
| salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[108])]),
[iquote('copy,108,propositional')] ).
cnf(110,axiom,
( salt_mill
| mustard_mill
| salt_cole ),
file('PUZ030-2.p',unknown),
[] ).
cnf(111,axiom,
( salt_dix
| mustard_dix
| mustard_barry ),
file('PUZ030-2.p',unknown),
[] ).
cnf(112,plain,
( mustard_barry
| mustard_dix
| salt_dix ),
inference(propositional,[status(thm)],[inference(copy,[status(thm)],[111])]),
[iquote('copy,111,propositional')] ).
cnf(116,plain,
( mustard_barry
| mustard_lang
| mustard_mill ),
inference(hyper,[status(thm)],[102,1]),
[iquote('hyper,102,1')] ).
cnf(117,plain,
( mustard_lang
| salt_barry
| mustard_cole ),
inference(hyper,[status(thm)],[104,76]),
[iquote('hyper,104,76')] ).
cnf(118,plain,
( mustard_lang
| mustard_cole
| mustard_mill ),
inference(hyper,[status(thm)],[104,48]),
[iquote('hyper,104,48')] ).
cnf(121,plain,
( mustard_lang
| salt_barry
| mustard_dix ),
inference(hyper,[status(thm)],[107,72]),
[iquote('hyper,107,72')] ).
cnf(126,plain,
( mustard_barry
| salt_lang
| mustard_dix ),
inference(hyper,[status(thm)],[112,56]),
[iquote('hyper,112,56')] ).
cnf(127,plain,
( mustard_barry
| mustard_mill
| mustard_dix ),
inference(hyper,[status(thm)],[112,45]),
[iquote('hyper,112,45')] ).
cnf(128,plain,
( mustard_barry
| mustard_lang
| salt_lang
| mustard_cole ),
inference(hyper,[status(thm)],[117,59]),
[iquote('hyper,117,59')] ).
cnf(129,plain,
( mustard_barry
| mustard_lang
| mustard_cole
| mustard_dix ),
inference(hyper,[status(thm)],[117,27,112]),
[iquote('hyper,117,27,112')] ).
cnf(131,plain,
( mustard_barry
| mustard_cole
| mustard_dix ),
inference(hyper,[status(thm)],[129,63,126]),
[iquote('hyper,129,63,126')] ).
cnf(133,plain,
( mustard_barry
| salt_barry
| mustard_cole ),
inference(hyper,[status(thm)],[131,65,109]),
[iquote('hyper,131,65,109')] ).
cnf(137,plain,
( mustard_barry
| mustard_lang
| mustard_cole ),
inference(hyper,[status(thm)],[131,19,128,118]),
[iquote('hyper,131,19,128,118')] ).
cnf(139,plain,
( mustard_barry
| salt_lang
| mustard_cole ),
inference(hyper,[status(thm)],[133,59]),
[iquote('hyper,133,59')] ).
cnf(141,plain,
( mustard_barry
| mustard_cole ),
inference(hyper,[status(thm)],[139,63,137]),
[iquote('hyper,139,63,137')] ).
cnf(142,plain,
( mustard_barry
| salt_barry
| salt_cole ),
inference(hyper,[status(thm)],[141,74]),
[iquote('hyper,141,74')] ).
cnf(145,plain,
( mustard_barry
| mustard_lang
| salt_dix ),
inference(hyper,[status(thm)],[141,35]),
[iquote('hyper,141,35')] ).
cnf(146,plain,
( mustard_barry
| mustard_lang
| mustard_dix ),
inference(hyper,[status(thm)],[141,31]),
[iquote('hyper,141,31')] ).
cnf(148,plain,
( mustard_barry
| mustard_lang
| salt_barry ),
inference(hyper,[status(thm)],[142,82,116]),
[iquote('hyper,142,82,116')] ).
cnf(151,plain,
( mustard_barry
| mustard_dix ),
inference(hyper,[status(thm)],[146,7,141,127]),
[iquote('hyper,146,7,141,127')] ).
cnf(152,plain,
( mustard_barry
| mustard_lang
| salt_cole ),
inference(hyper,[status(thm)],[148,68]),
[iquote('hyper,148,68')] ).
cnf(154,plain,
( mustard_barry
| mustard_lang ),
inference(hyper,[status(thm)],[152,86,141,116,151,145]),
[iquote('hyper,152,86,141,116,151,145')] ).
cnf(155,plain,
( mustard_barry
| salt_lang
| salt_barry ),
inference(hyper,[status(thm)],[154,71]),
[iquote('hyper,154,71')] ).
cnf(158,plain,
( mustard_barry
| salt_barry ),
inference(hyper,[status(thm)],[155,94,151,109]),
[iquote('hyper,155,94,151,109')] ).
cnf(159,plain,
( mustard_barry
| salt_cole ),
inference(hyper,[status(thm)],[158,68]),
[iquote('hyper,158,68')] ).
cnf(160,plain,
( mustard_barry
| salt_lang ),
inference(hyper,[status(thm)],[158,59]),
[iquote('hyper,158,59')] ).
cnf(162,plain,
mustard_barry,
inference(hyper,[status(thm)],[160,96,154,158,141,159]),
[iquote('hyper,160,96,154,158,141,159')] ).
cnf(163,plain,
( mustard_lang
| mustard_dix
| salt_dix ),
inference(hyper,[status(thm)],[162,92,107,121]),
[iquote('hyper,162,92,107,121')] ).
cnf(165,plain,
( mustard_lang
| mustard_cole ),
inference(hyper,[status(thm)],[162,78,117,118,104]),
[iquote('hyper,162,78,117,118,104')] ).
cnf(166,plain,
( salt_barry
| salt_cole ),
inference(hyper,[status(thm)],[162,67]),
[iquote('hyper,162,67')] ).
cnf(167,plain,
( salt_lang
| salt_barry ),
inference(hyper,[status(thm)],[162,58]),
[iquote('hyper,162,58')] ).
cnf(169,plain,
( salt_barry
| mustard_cole ),
inference(hyper,[status(thm)],[166,76]),
[iquote('hyper,166,76')] ).
cnf(170,plain,
( mustard_lang
| salt_barry ),
inference(hyper,[status(thm)],[167,72]),
[iquote('hyper,167,72')] ).
cnf(171,plain,
( salt_lang
| mustard_cole
| mustard_mill
| salt_cole
| mustard_dix
| salt_dix ),
inference(hyper,[status(thm)],[169,100,110,162,165]),
[iquote('hyper,169,100,110,162,165')] ).
cnf(172,plain,
( salt_mill
| mustard_cole ),
inference(hyper,[status(thm)],[169,52,162]),
[iquote('hyper,169,52,162')] ).
cnf(174,plain,
( mustard_lang
| salt_cole
| mustard_dix ),
inference(hyper,[status(thm)],[163,25,162]),
[iquote('hyper,163,25,162')] ).
cnf(175,plain,
( salt_mill
| mustard_lang ),
inference(hyper,[status(thm)],[170,52,162]),
[iquote('hyper,170,52,162')] ).
cnf(176,plain,
( mustard_cole
| mustard_mill
| salt_cole
| mustard_dix
| salt_dix ),
inference(hyper,[status(thm)],[171,92,162,169]),
[iquote('hyper,171,92,162,169')] ).
cnf(177,plain,
( mustard_lang
| mustard_dix ),
inference(hyper,[status(thm)],[174,80,175,162,170]),
[iquote('hyper,174,80,175,162,170')] ).
cnf(178,plain,
( salt_mill
| salt_barry
| mustard_dix ),
inference(hyper,[status(thm)],[177,50,167]),
[iquote('hyper,177,50,167')] ).
cnf(180,plain,
( salt_barry
| mustard_dix ),
inference(hyper,[status(thm)],[178,13,177,166]),
[iquote('hyper,178,13,177,166')] ).
cnf(181,plain,
( salt_mill
| mustard_dix ),
inference(hyper,[status(thm)],[180,52,162]),
[iquote('hyper,180,52,162')] ).
cnf(183,plain,
( mustard_cole
| mustard_mill
| salt_cole
| mustard_dix ),
inference(hyper,[status(thm)],[176,45]),
[iquote('hyper,176,45')] ).
cnf(184,plain,
( mustard_cole
| mustard_mill
| mustard_dix ),
inference(hyper,[status(thm)],[183,80,181,162,180]),
[iquote('hyper,183,80,181,162,180')] ).
cnf(185,plain,
( mustard_cole
| salt_cole
| mustard_dix
| salt_dix ),
inference(hyper,[status(thm)],[184,88]),
[iquote('hyper,184,88')] ).
cnf(187,plain,
( mustard_cole
| salt_cole
| mustard_dix ),
inference(hyper,[status(thm)],[185,29,180]),
[iquote('hyper,185,29,180')] ).
cnf(188,plain,
( mustard_cole
| mustard_dix ),
inference(hyper,[status(thm)],[187,80,181,162,180]),
[iquote('hyper,187,80,181,162,180')] ).
cnf(192,plain,
mustard_cole,
inference(hyper,[status(thm)],[188,17,172,165]),
[iquote('hyper,188,17,172,165')] ).
cnf(195,plain,
( salt_lang
| salt_dix ),
inference(hyper,[status(thm)],[192,37]),
[iquote('hyper,192,37')] ).
cnf(198,plain,
mustard_dix,
inference(hyper,[status(thm)],[192,9,181,177]),
[iquote('hyper,192,9,181,177')] ).
cnf(200,plain,
salt_mill,
inference(hyper,[status(thm)],[198,39,162]),
[iquote('hyper,198,39,162')] ).
cnf(201,plain,
mustard_mill,
inference(hyper,[status(thm)],[198,38,162]),
[iquote('hyper,198,38,162')] ).
cnf(202,plain,
salt_barry,
inference(hyper,[status(thm)],[200,21,167,198]),
[iquote('hyper,200,21,167,198')] ).
cnf(203,plain,
salt_dix,
inference(hyper,[status(thm)],[195,21,200,198]),
[iquote('hyper,195,21,200,198')] ).
cnf(204,plain,
salt_cole,
inference(hyper,[status(thm)],[203,29,202]),
[iquote('hyper,203,29,202')] ).
cnf(206,plain,
$false,
inference(hyper,[status(thm)],[204,86,192,201,198,203]),
[iquote('hyper,204,86,192,201,198,203')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n020.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 : 300
% 0.12/0.34 % DateTime : Wed Jul 27 01:49:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.01/2.17 ----- Otter 3.3f, August 2004 -----
% 2.01/2.17 The process was started by sandbox on n020.cluster.edu,
% 2.01/2.17 Wed Jul 27 01:49:53 2022
% 2.01/2.17 The command was "./otter". The process ID is 11202.
% 2.01/2.17
% 2.01/2.17 set(prolog_style_variables).
% 2.01/2.17 set(auto).
% 2.01/2.17 dependent: set(auto1).
% 2.01/2.17 dependent: set(process_input).
% 2.01/2.17 dependent: clear(print_kept).
% 2.01/2.17 dependent: clear(print_new_demod).
% 2.01/2.17 dependent: clear(print_back_demod).
% 2.01/2.17 dependent: clear(print_back_sub).
% 2.01/2.17 dependent: set(control_memory).
% 2.01/2.17 dependent: assign(max_mem, 12000).
% 2.01/2.17 dependent: assign(pick_given_ratio, 4).
% 2.01/2.17 dependent: assign(stats_level, 1).
% 2.01/2.17 dependent: assign(max_seconds, 10800).
% 2.01/2.17 clear(print_given).
% 2.01/2.17
% 2.01/2.17 list(usable).
% 2.01/2.17 0 [] -salt_mill|mustard_barry|mustard_lang.
% 2.01/2.17 0 [] -salt_mill|mustard_barry|salt_lang.
% 2.01/2.17 0 [] -salt_mill|salt_barry|mustard_lang.
% 2.01/2.17 0 [] -salt_mill|salt_barry|salt_lang.
% 2.01/2.17 0 [] -mustard_lang| -mustard_cole| -mustard_mill.
% 2.01/2.17 0 [] -mustard_lang| -mustard_cole| -salt_mill.
% 2.01/2.17 0 [] -mustard_lang| -salt_cole| -mustard_mill.
% 2.01/2.17 0 [] -mustard_lang| -salt_cole| -salt_mill.
% 2.01/2.17 0 [] -mustard_dix| -mustard_lang| -mustard_mill.
% 2.01/2.17 0 [] -mustard_dix| -mustard_lang| -salt_mill.
% 2.01/2.17 0 [] -mustard_dix| -salt_lang| -mustard_mill.
% 2.01/2.17 0 [] -mustard_dix| -salt_lang| -salt_mill.
% 2.01/2.17 0 [] -salt_dix| -mustard_barry|mustard_cole.
% 2.01/2.17 0 [] -salt_dix| -mustard_barry|salt_cole.
% 2.01/2.17 0 [] -salt_dix| -salt_barry|mustard_cole.
% 2.01/2.17 0 [] -salt_dix| -salt_barry|salt_cole.
% 2.01/2.17 0 [] -mustard_cole|mustard_dix|mustard_lang.
% 2.01/2.17 0 [] -mustard_cole|mustard_dix|salt_lang.
% 2.01/2.17 0 [] -mustard_cole|salt_dix|mustard_lang.
% 2.01/2.17 0 [] -mustard_cole|salt_dix|salt_lang.
% 2.01/2.17 0 [] -mustard_barry| -mustard_dix|mustard_mill.
% 2.01/2.17 0 [] -mustard_barry| -mustard_dix|salt_mill.
% 2.01/2.17 0 [] -mustard_barry| -salt_dix|mustard_mill.
% 2.01/2.17 0 [] -mustard_barry| -salt_dix|salt_mill.
% 2.01/2.17 0 [] salt_dix| -mustard_dix|mustard_mill.
% 2.01/2.17 0 [] -salt_dix|mustard_dix|mustard_mill.
% 2.01/2.17 0 [] salt_cole| -mustard_cole|mustard_mill.
% 2.01/2.17 0 [] -salt_cole|mustard_cole|mustard_mill.
% 2.01/2.17 0 [] -salt_lang| -mustard_lang|salt_mill.
% 2.01/2.17 0 [] -salt_barry| -mustard_barry|salt_mill.
% 2.01/2.17 0 [] salt_dix| -mustard_dix|salt_lang.
% 2.01/2.17 0 [] -salt_dix|mustard_dix|salt_lang.
% 2.01/2.17 0 [] salt_barry| -mustard_barry|salt_lang.
% 2.01/2.17 0 [] -salt_barry|mustard_barry|salt_lang.
% 2.01/2.17 0 [] -salt_cole| -mustard_cole|salt_dix.
% 2.01/2.17 0 [] -salt_lang| -mustard_lang|mustard_cole.
% 2.01/2.17 0 [] -salt_dix| -mustard_dix|mustard_cole.
% 2.01/2.17 0 [] salt_barry| -mustard_barry|salt_cole.
% 2.01/2.17 0 [] -salt_barry|mustard_barry|salt_cole.
% 2.01/2.17 0 [] -salt_mill| -mustard_mill|mustard_barry.
% 2.01/2.17 0 [] salt_lang| -mustard_lang|salt_barry.
% 2.01/2.17 0 [] -salt_lang|mustard_lang|salt_barry.
% 2.01/2.17 0 [] salt_cole| -mustard_cole|salt_barry.
% 2.01/2.17 0 [] -salt_cole|mustard_cole|salt_barry.
% 2.01/2.17 0 [] -salt_cole| -mustard_barry| -salt_barry| -mustard_mill.
% 2.01/2.17 0 [] -salt_cole| -mustard_barry| -salt_barry| -salt_mill.
% 2.01/2.17 0 [] -salt_cole|salt_barry|mustard_barry| -mustard_mill.
% 2.01/2.17 0 [] -salt_cole|salt_barry|mustard_barry| -salt_mill.
% 2.01/2.17 0 [] -mustard_mill| -mustard_cole| -salt_cole| -mustard_dix| -salt_dix.
% 2.01/2.17 0 [] -mustard_mill|salt_cole|mustard_cole|salt_dix|mustard_dix.
% 2.01/2.17 0 [] -salt_lang| -mustard_barry| -salt_barry| -mustard_dix| -salt_dix.
% 2.01/2.17 0 [] -salt_lang| -mustard_barry| -salt_barry|salt_dix|mustard_dix.
% 2.01/2.17 0 [] -salt_lang|salt_barry|mustard_barry| -mustard_dix| -salt_dix.
% 2.01/2.17 0 [] -salt_barry| -mustard_cole| -salt_cole| -mustard_lang| -salt_lang.
% 2.01/2.17 0 [] -salt_barry| -mustard_cole| -salt_cole|salt_lang|mustard_lang.
% 2.01/2.17 0 [] salt_mill|mustard_mill|mustard_lang.
% 2.01/2.17 0 [] salt_cole|mustard_cole|mustard_lang.
% 2.01/2.17 0 [] salt_mill|mustard_mill|mustard_dix.
% 2.01/2.17 0 [] salt_lang|mustard_lang|mustard_dix.
% 2.01/2.17 0 [] salt_barry|mustard_barry|salt_dix.
% 2.01/2.17 0 [] salt_mill|mustard_mill|salt_cole.
% 2.01/2.17 0 [] salt_dix|mustard_dix|mustard_barry.
% 2.01/2.17 0 [] salt_lang| -mustard_barry| -salt_barry| -salt_mill| -mustard_lang|salt_cole|mustard_cole|salt_dix|mustard_dix|mustard_mill.
% 2.01/2.17 end_of_list.
% 2.01/2.17
% 2.01/2.17 SCAN INPUT: prop=1, horn=0, equality=0, symmetry=0, max_lits=10.
% 2.01/2.17
% 2.01/2.17 The clause set is propositional; the strategy will be
% 2.01/2.17 ordered hyperresolution with the propositional
% 2.01/2.17 optimizations, with satellites in sos and nuclei in usable.
% 2.01/2.17
% 2.01/2.17 dependent: set(hyper_res).
% 2.01/2.17 dependent: set(propositional).
% 2.01/2.17 dependent: set(sort_literals).
% 2.01/2.17
% 2.01/2.17 ------------> process usable:
% 2.01/2.17 ** KEPT (pick-wt=3): 1 [] -salt_mill|mustard_barry|mustard_lang.
% 2.01/2.17 ** KEPT (pick-wt=3): 2 [] -salt_mill|mustard_barry|salt_lang.
% 2.01/2.17 ** KEPT (pick-wt=3): 4 [copy,3,propositional] -salt_mill|mustard_lang|salt_barry.
% 2.01/2.17 ** KEPT (pick-wt=3): 6 [copy,5,propositional] -salt_mill|salt_lang|salt_barry.
% 2.01/2.17 ** KEPT (pick-wt=3): 7 [] -mustard_lang| -mustard_cole| -mustard_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 9 [copy,8,propositional] -salt_mill| -mustard_lang| -mustard_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 11 [copy,10,propositional] -mustard_lang| -mustard_mill| -salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 13 [copy,12,propositional] -salt_mill| -mustard_lang| -salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 15 [copy,14,propositional] -mustard_lang| -mustard_mill| -mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 17 [copy,16,propositional] -salt_mill| -mustard_lang| -mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 19 [copy,18,propositional] -salt_lang| -mustard_mill| -mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 21 [copy,20,propositional] -salt_mill| -salt_lang| -mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 23 [copy,22,propositional] -mustard_barry| -salt_dix|mustard_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 25 [copy,24,propositional] -mustard_barry| -salt_dix|salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 27 [copy,26,propositional] -salt_barry| -salt_dix|mustard_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 29 [copy,28,propositional] -salt_barry| -salt_dix|salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 31 [copy,30,propositional] -mustard_cole|mustard_lang|mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 33 [copy,32,propositional] -mustard_cole|salt_lang|mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 35 [copy,34,propositional] -mustard_cole|mustard_lang|salt_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 37 [copy,36,propositional] -mustard_cole|salt_lang|salt_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 38 [] -mustard_barry| -mustard_dix|mustard_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 39 [] -mustard_barry| -mustard_dix|salt_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 40 [] -mustard_barry| -salt_dix|mustard_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 41 [] -mustard_barry| -salt_dix|salt_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 43 [copy,42,propositional] -mustard_dix|mustard_mill|salt_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 45 [copy,44,propositional] -salt_dix|mustard_mill|mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 47 [copy,46,propositional] -mustard_cole|mustard_mill|salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 48 [] -salt_cole|mustard_cole|mustard_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 50 [copy,49,propositional] -mustard_lang| -salt_lang|salt_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 52 [copy,51,propositional] -mustard_barry| -salt_barry|salt_mill.
% 2.01/2.17 ** KEPT (pick-wt=3): 54 [copy,53,propositional] -mustard_dix|salt_lang|salt_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 56 [copy,55,propositional] -salt_dix|salt_lang|mustard_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 58 [copy,57,propositional] -mustard_barry|salt_lang|salt_barry.
% 2.01/2.17 ** KEPT (pick-wt=3): 59 [] -salt_barry|mustard_barry|salt_lang.
% 2.01/2.17 ** KEPT (pick-wt=3): 61 [copy,60,propositional] -mustard_cole| -salt_cole|salt_dix.
% 2.01/2.17 ** KEPT (pick-wt=3): 63 [copy,62,propositional] -mustard_lang| -salt_lang|mustard_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 65 [copy,64,propositional] -mustard_dix| -salt_dix|mustard_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 67 [copy,66,propositional] -mustard_barry|salt_barry|salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 68 [] -salt_barry|mustard_barry|salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 69 [] -salt_mill| -mustard_mill|mustard_barry.
% 2.01/2.17 ** KEPT (pick-wt=3): 71 [copy,70,propositional] -mustard_lang|salt_lang|salt_barry.
% 2.01/2.17 ** KEPT (pick-wt=3): 72 [] -salt_lang|mustard_lang|salt_barry.
% 2.01/2.17 ** KEPT (pick-wt=3): 74 [copy,73,propositional] -mustard_cole|salt_barry|salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=3): 76 [copy,75,propositional] -salt_cole|salt_barry|mustard_cole.
% 2.01/2.17 ** KEPT (pick-wt=4): 78 [copy,77,propositional] -mustard_barry| -salt_barry| -mustard_mill| -salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=4): 80 [copy,79,propositional] -salt_mill| -mustard_barry| -salt_barry| -salt_cole.
% 2.01/2.17 ** KEPT (pick-wt=4): 82 [copy,81,propositional] -mustard_mill| -salt_cole|mustard_barry|salt_barry.
% 2.01/2.17 ** KEPT (pick-wt=4): 84 [copy,83,propositional] -salt_mill| -salt_cole|mustard_barry|salt_barry.
% 2.01/2.17 ** KEPT (pick-wt=5): 86 [copy,85,propositional] -mustard_cole| -mustard_mill| -salt_cole| -mustard_dix| -salt_dix.
% 2.01/2.17 ** KEPT (pick-wt=5): 88 [copy,87,propositional] -mustard_mill|mustard_cole|salt_cole|mustard_dix|salt_dix.
% 2.01/2.17 ** KEPT (pick-wt=5): 90 [copy,89,propositional] -mustard_barry| -salt_lang| -salt_barry| -mustard_dix| -salt_dix.
% 2.01/2.18 ** KEPT (pick-wt=5): 92 [copy,91,propositional] -mustard_barry| -salt_lang| -salt_barry|mustard_dix|salt_dix.
% 2.01/2.18 ** KEPT (pick-wt=5): 94 [copy,93,propositional] -salt_lang| -mustard_dix| -salt_dix|mustard_barry|salt_barry.
% 2.01/2.18 ** KEPT (pick-wt=5): 96 [copy,95,propositional] -mustard_lang| -salt_lang| -salt_barry| -mustard_cole| -salt_cole.
% 2.01/2.18 ** KEPT (pick-wt=5): 98 [copy,97,propositional] -salt_barry| -mustard_cole| -salt_cole|mustard_lang|salt_lang.
% 2.01/2.18 ** KEPT (pick-wt=10): 100 [copy,99,propositional] -salt_mill| -mustard_barry| -mustard_lang| -salt_barry|salt_lang|mustard_cole|mustard_mill|salt_cole|mustard_dix|salt_dix.
% 2.01/2.18
% 2.01/2.18 ------------> process sos:
% 2.01/2.18 ** KEPT (pick-wt=3): 102 [copy,101,propositional] salt_mill|mustard_lang|mustard_mill.
% 2.01/2.18 ** KEPT (pick-wt=3): 104 [copy,103,propositional] mustard_lang|mustard_cole|salt_cole.
% 2.01/2.18 ** KEPT (pick-wt=3): 105 [] salt_mill|mustard_mill|mustard_dix.
% 2.01/2.18 ** KEPT (pick-wt=3): 107 [copy,106,propositional] mustard_lang|salt_lang|mustard_dix.
% 2.01/2.18 ** KEPT (pick-wt=3): 109 [copy,108,propositional] mustard_barry|salt_barry|salt_dix.
% 2.01/2.18 ** KEPT (pick-wt=3): 110 [] salt_mill|mustard_mill|salt_cole.
% 2.01/2.18 ** KEPT (pick-wt=3): 112 [copy,111,propositional] mustard_barry|mustard_dix|salt_dix.
% 2.01/2.18
% 2.01/2.18 ======= end of input processing =======
% 2.01/2.18
% 2.01/2.18 =========== start of search ===========
% 2.01/2.18
% 2.01/2.18 -------- PROOF --------
% 2.01/2.18
% 2.01/2.18 -----> EMPTY CLAUSE at 0.01 sec ----> 206 [hyper,204,86,192,201,198,203] $F.
% 2.01/2.18
% 2.01/2.18 Length of proof is 89. Level of proof is 31.
% 2.01/2.18
% 2.01/2.18 ---------------- PROOF ----------------
% 2.01/2.18 % SZS status Unsatisfiable
% 2.01/2.18 % SZS output start Refutation
% See solution above
% 2.01/2.18 ------------ end of proof -------------
% 2.01/2.18
% 2.01/2.18
% 2.01/2.18 Search stopped by max_proofs option.
% 2.01/2.18
% 2.01/2.18
% 2.01/2.18 Search stopped by max_proofs option.
% 2.01/2.18
% 2.01/2.18 ============ end of search ============
% 2.01/2.18
% 2.01/2.18 -------------- statistics -------------
% 2.01/2.18 clauses given 70
% 2.01/2.18 clauses generated 796
% 2.01/2.18 clauses kept 156
% 2.01/2.18 clauses forward subsumed 702
% 2.01/2.18 clauses back subsumed 133
% 2.01/2.18 Kbytes malloced 976
% 2.01/2.18
% 2.01/2.18 ----------- times (seconds) -----------
% 2.01/2.18 user CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.01/2.18 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.01/2.18 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.01/2.18
% 2.01/2.18 That finishes the proof of the theorem.
% 2.01/2.18
% 2.01/2.18 Process 11202 finished Wed Jul 27 01:49:55 2022
% 2.01/2.18 Otter interrupted
% 2.01/2.18 PROOF FOUND
%------------------------------------------------------------------------------