TSTP Solution File: PUZ030-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 2.04s 2.23s
% Output : Refutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 35
% Syntax : Number of clauses : 125 ( 12 unt; 91 nHn; 123 RR)
% Number of literals : 342 ( 0 equ; 46 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ both(A)
| salt(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ both(A)
| mustard(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ salt(A)
| ~ mustard(A)
| both(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ oneof(A)
| salt(A)
| mustard(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ oneof(A)
| ~ both(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ oneof(A)
| ~ neither(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ oneof(A)
| ~ salt(A)
| ~ mustard(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ neither(A)
| ~ salt(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ neither(A)
| ~ mustard(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ salt(barry)
| oneof(cole)
| oneof(lang) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ oneof(cole)
| salt(barry) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ oneof(lang)
| salt(barry) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ mustard(barry)
| neither(dix)
| both(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ neither(dix)
| mustard(barry) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ salt(cole)
| oneof(barry)
| neither(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ mustard(cole)
| both(dix)
| both(lang) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ both(lang)
| mustard(cole) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ salt(dix)
| neither(barry)
| both(cole) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ mustard(dix)
| neither(lang)
| neither(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ neither(lang)
| mustard(dix) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ salt(lang)
| oneof(barry)
| oneof(dix) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ oneof(barry)
| salt(lang) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ oneof(dix)
| salt(lang) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ mustard(lang)
| neither(cole)
| neither(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ neither(cole)
| mustard(lang) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ neither(mill)
| mustard(lang) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ salt(mill)
| both(barry)
| both(lang) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ both(barry)
| salt(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ both(lang)
| mustard(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ mustard(mill)
| oneof(cole)
| oneof(dix) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ oneof(cole)
| mustard(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ oneof(dix)
| mustard(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ neither(cole)
| ~ neither(dix)
| ~ both(barry)
| ~ oneof(lang)
| ~ salt(mill)
| ~ mustard(lang)
| ~ oneof(mill) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(42,axiom,
( both(A)
| neither(A)
| oneof(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(43,axiom,
( salt(A)
| mustard(A)
| neither(A) ),
file('PUZ030-1.p',unknown),
[] ).
cnf(45,plain,
( both(cole)
| neither(cole)
| mustard(mill) ),
inference(hyper,[status(thm)],[42,39]),
[iquote('hyper,42,39')] ).
cnf(46,plain,
( both(dix)
| neither(dix)
| salt(lang) ),
inference(hyper,[status(thm)],[42,31]),
[iquote('hyper,42,31')] ).
cnf(47,plain,
( both(barry)
| neither(barry)
| salt(lang) ),
inference(hyper,[status(thm)],[42,30]),
[iquote('hyper,42,30')] ).
cnf(49,plain,
( both(lang)
| neither(lang)
| salt(barry) ),
inference(hyper,[status(thm)],[42,13]),
[iquote('hyper,42,13')] ).
cnf(50,plain,
( both(cole)
| neither(cole)
| salt(barry) ),
inference(hyper,[status(thm)],[42,12]),
[iquote('hyper,42,12')] ).
cnf(51,plain,
( mustard(mill)
| neither(mill)
| both(barry)
| both(lang) ),
inference(hyper,[status(thm)],[43,35]),
[iquote('hyper,43,35')] ).
cnf(52,plain,
( mustard(lang)
| neither(lang)
| oneof(barry)
| oneof(dix) ),
inference(hyper,[status(thm)],[43,29]),
[iquote('hyper,43,29')] ).
cnf(53,plain,
( mustard(dix)
| neither(dix)
| neither(barry)
| both(cole) ),
inference(hyper,[status(thm)],[43,23]),
[iquote('hyper,43,23')] ).
cnf(54,plain,
( mustard(cole)
| neither(cole)
| oneof(barry)
| neither(mill) ),
inference(hyper,[status(thm)],[43,17]),
[iquote('hyper,43,17')] ).
cnf(57,plain,
( both(cole)
| mustard(mill)
| mustard(lang) ),
inference(hyper,[status(thm)],[45,33]),
[iquote('hyper,45,33')] ).
cnf(62,plain,
( mustard(mill)
| both(barry)
| both(lang)
| mustard(lang) ),
inference(hyper,[status(thm)],[51,34]),
[iquote('hyper,51,34')] ).
cnf(65,plain,
( both(cole)
| mustard(lang)
| oneof(cole)
| oneof(dix) ),
inference(hyper,[status(thm)],[57,38]),
[iquote('hyper,57,38')] ).
cnf(69,plain,
( mustard(lang)
| neither(lang)
| oneof(barry)
| mustard(mill) ),
inference(hyper,[status(thm)],[52,40]),
[iquote('hyper,52,40')] ).
cnf(70,plain,
( mustard(lang)
| neither(lang)
| oneof(barry)
| salt(dix)
| mustard(dix) ),
inference(hyper,[status(thm)],[52,4]),
[iquote('hyper,52,4')] ).
cnf(71,plain,
( mustard(dix)
| neither(barry)
| both(cole)
| mustard(barry) ),
inference(hyper,[status(thm)],[53,15]),
[iquote('hyper,53,15')] ).
cnf(73,plain,
( mustard(dix)
| neither(dix)
| both(cole)
| neither(cole) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[53,9,50])]),
[iquote('hyper,53,9,50,factor_simp')] ).
cnf(92,plain,
( mustard(mill)
| both(barry)
| both(lang)
| neither(barry) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[62,3,47])])]),
[iquote('hyper,62,3,47,factor_simp,factor_simp')] ).
cnf(98,plain,
( both(cole)
| mustard(lang)
| oneof(cole)
| salt(lang) ),
inference(hyper,[status(thm)],[65,31]),
[iquote('hyper,65,31')] ).
cnf(105,plain,
( mustard(dix)
| both(cole)
| mustard(barry)
| neither(cole) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[71,9,50])]),
[iquote('hyper,71,9,50,factor_simp')] ).
cnf(110,plain,
( mustard(dix)
| neither(dix)
| both(cole)
| mustard(lang) ),
inference(hyper,[status(thm)],[73,33]),
[iquote('hyper,73,33')] ).
cnf(115,plain,
( mustard(mill)
| both(barry)
| both(lang)
| neither(lang) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[92,9,49])]),
[iquote('hyper,92,9,49,factor_simp')] ).
cnf(123,plain,
( mustard(dix)
| both(cole)
| mustard(barry)
| mustard(lang) ),
inference(hyper,[status(thm)],[105,33]),
[iquote('hyper,105,33')] ).
cnf(124,plain,
( mustard(dix)
| both(cole)
| mustard(lang)
| neither(lang)
| oneof(barry) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[110,9,70])])]),
[iquote('hyper,110,9,70,factor_simp,factor_simp')] ).
cnf(125,plain,
( mustard(dix)
| both(cole)
| mustard(lang)
| oneof(cole) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[110,6,65])])]),
[iquote('hyper,110,6,65,factor_simp,factor_simp')] ).
cnf(129,plain,
( mustard(mill)
| both(barry)
| both(lang) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[115,10,62])])])]),
[iquote('hyper,115,10,62,factor_simp,factor_simp,factor_simp')] ).
cnf(130,plain,
( both(barry)
| both(lang)
| oneof(cole)
| oneof(dix) ),
inference(hyper,[status(thm)],[129,38]),
[iquote('hyper,129,38')] ).
cnf(143,plain,
( mustard(dix)
| both(cole)
| mustard(lang)
| salt(barry) ),
inference(hyper,[status(thm)],[125,12]),
[iquote('hyper,125,12')] ).
cnf(147,plain,
( both(barry)
| both(lang)
| oneof(cole)
| salt(lang) ),
inference(hyper,[status(thm)],[130,31]),
[iquote('hyper,130,31')] ).
cnf(180,plain,
( mustard(dix)
| both(cole)
| mustard(lang)
| neither(lang) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[124,7,143,123])])])])])])]),
[iquote('hyper,124,7,143,123,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(183,plain,
( mustard(dix)
| both(cole)
| mustard(lang) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[180,27])]),
[iquote('hyper,180,27,factor_simp')] ).
cnf(184,plain,
( both(cole)
| mustard(lang)
| neither(lang)
| neither(mill) ),
inference(hyper,[status(thm)],[183,26]),
[iquote('hyper,183,26')] ).
cnf(191,plain,
( both(cole)
| mustard(lang)
| neither(lang) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[184,34])]),
[iquote('hyper,184,34,factor_simp')] ).
cnf(193,plain,
( both(cole)
| mustard(lang)
| oneof(cole) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[191,9,98])])]),
[iquote('hyper,191,9,98,factor_simp,factor_simp')] ).
cnf(194,plain,
( both(cole)
| mustard(lang)
| both(barry)
| neither(barry) ),
inference(hyper,[status(thm)],[191,9,47]),
[iquote('hyper,191,9,47')] ).
cnf(195,plain,
( both(cole)
| mustard(lang)
| both(dix)
| neither(dix) ),
inference(hyper,[status(thm)],[191,9,46]),
[iquote('hyper,191,9,46')] ).
cnf(197,plain,
( both(cole)
| mustard(lang)
| salt(barry) ),
inference(hyper,[status(thm)],[193,12]),
[iquote('hyper,193,12')] ).
cnf(207,plain,
( both(cole)
| mustard(lang)
| both(barry) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[194,9,197])])]),
[iquote('hyper,194,9,197,factor_simp,factor_simp')] ).
cnf(208,plain,
( both(cole)
| both(barry)
| neither(cole)
| neither(mill) ),
inference(hyper,[status(thm)],[207,32]),
[iquote('hyper,207,32')] ).
cnf(215,plain,
( both(cole)
| both(barry)
| both(lang)
| oneof(cole) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[207,3,147])])]),
[iquote('hyper,207,3,147,factor_simp,factor_simp')] ).
cnf(219,plain,
( both(cole)
| mustard(lang)
| both(dix) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[195,10,183])])]),
[iquote('hyper,195,10,183,factor_simp,factor_simp')] ).
cnf(220,plain,
( both(cole)
| both(dix)
| neither(cole)
| neither(mill) ),
inference(hyper,[status(thm)],[219,32]),
[iquote('hyper,219,32')] ).
cnf(236,plain,
( both(cole)
| both(barry)
| neither(cole)
| both(lang) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[208,10,129])]),
[iquote('hyper,208,10,129,factor_simp')] ).
cnf(255,plain,
( both(cole)
| both(barry)
| both(lang) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[236,6,215])])])]),
[iquote('hyper,236,6,215,factor_simp,factor_simp,factor_simp')] ).
cnf(262,plain,
( both(barry)
| both(lang)
| oneof(dix) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[255,5,130])])]),
[iquote('hyper,255,5,130,factor_simp,factor_simp')] ).
cnf(264,plain,
( both(barry)
| both(lang)
| mustard(cole) ),
inference(hyper,[status(thm)],[255,2]),
[iquote('hyper,255,2')] ).
cnf(272,plain,
( both(cole)
| both(barry)
| mustard(mill) ),
inference(hyper,[status(thm)],[255,37]),
[iquote('hyper,255,37')] ).
cnf(276,plain,
( both(barry)
| both(lang)
| both(dix) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[264,20])]),
[iquote('hyper,264,20,factor_simp')] ).
cnf(294,plain,
( both(cole)
| both(barry)
| neither(cole) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[272,10,208])])]),
[iquote('hyper,272,10,208,factor_simp,factor_simp')] ).
cnf(313,plain,
( both(barry)
| both(lang) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[276,5,262])])]),
[iquote('hyper,276,5,262,factor_simp,factor_simp')] ).
cnf(322,plain,
( both(barry)
| mustard(mill) ),
inference(hyper,[status(thm)],[313,37]),
[iquote('hyper,313,37')] ).
cnf(323,plain,
( both(barry)
| mustard(cole) ),
inference(hyper,[status(thm)],[313,22]),
[iquote('hyper,313,22')] ).
cnf(326,plain,
( both(barry)
| mustard(lang) ),
inference(hyper,[status(thm)],[313,2]),
[iquote('hyper,313,2')] ).
cnf(338,plain,
( both(barry)
| neither(cole)
| neither(mill) ),
inference(hyper,[status(thm)],[326,32]),
[iquote('hyper,326,32')] ).
cnf(343,plain,
( both(cole)
| both(barry) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[294,10,323])]),
[iquote('hyper,294,10,323,factor_simp')] ).
cnf(347,plain,
( both(cole)
| salt(mill) ),
inference(hyper,[status(thm)],[343,36]),
[iquote('hyper,343,36')] ).
cnf(357,plain,
( both(cole)
| both(dix)
| neither(cole) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[347,9,220])]),
[iquote('hyper,347,9,220,factor_simp')] ).
cnf(375,plain,
( both(barry)
| neither(mill) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[338,10,323])]),
[iquote('hyper,338,10,323,factor_simp')] ).
cnf(379,plain,
both(barry),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[375,10,322])]),
[iquote('hyper,375,10,322,factor_simp')] ).
cnf(380,plain,
salt(mill),
inference(hyper,[status(thm)],[379,36]),
[iquote('hyper,379,36')] ).
cnf(384,plain,
( mustard(lang)
| neither(lang)
| mustard(mill) ),
inference(hyper,[status(thm)],[379,5,69]),
[iquote('hyper,379,5,69')] ).
cnf(385,plain,
( mustard(cole)
| neither(cole)
| neither(mill) ),
inference(hyper,[status(thm)],[379,5,54]),
[iquote('hyper,379,5,54')] ).
cnf(387,plain,
mustard(barry),
inference(hyper,[status(thm)],[379,2]),
[iquote('hyper,379,2')] ).
cnf(388,plain,
salt(barry),
inference(hyper,[status(thm)],[379,1]),
[iquote('hyper,379,1')] ).
cnf(391,plain,
( neither(dix)
| both(mill) ),
inference(hyper,[status(thm)],[387,14]),
[iquote('hyper,387,14')] ).
cnf(392,plain,
( oneof(cole)
| oneof(lang) ),
inference(hyper,[status(thm)],[388,11]),
[iquote('hyper,388,11')] ).
cnf(399,plain,
( oneof(lang)
| mustard(mill) ),
inference(hyper,[status(thm)],[392,39]),
[iquote('hyper,392,39')] ).
cnf(419,plain,
( mustard(lang)
| mustard(mill) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[384,6,399])]),
[iquote('hyper,384,6,399,factor_simp')] ).
cnf(424,plain,
( mustard(lang)
| both(mill) ),
inference(hyper,[status(thm)],[419,3,380]),
[iquote('hyper,419,3,380')] ).
cnf(425,plain,
( both(mill)
| neither(cole)
| neither(mill) ),
inference(hyper,[status(thm)],[424,32]),
[iquote('hyper,424,32')] ).
cnf(433,plain,
( mustard(cole)
| neither(cole) ),
inference(hyper,[status(thm)],[385,9,380]),
[iquote('hyper,385,9,380')] ).
cnf(434,plain,
( mustard(cole)
| mustard(lang) ),
inference(hyper,[status(thm)],[433,33]),
[iquote('hyper,433,33')] ).
cnf(435,plain,
( mustard(cole)
| oneof(lang) ),
inference(hyper,[status(thm)],[433,6,392]),
[iquote('hyper,433,6,392')] ).
cnf(461,plain,
( both(mill)
| neither(cole) ),
inference(hyper,[status(thm)],[425,9,380]),
[iquote('hyper,425,9,380')] ).
cnf(462,plain,
( both(mill)
| oneof(lang) ),
inference(hyper,[status(thm)],[461,6,392]),
[iquote('hyper,461,6,392')] ).
cnf(468,plain,
( both(mill)
| neither(mill) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[462,41,461,391,379,380,424,42])])])])]),
[iquote('hyper,462,41,461,391,379,380,424,42,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(471,plain,
both(mill),
inference(hyper,[status(thm)],[468,9,380]),
[iquote('hyper,468,9,380')] ).
cnf(472,plain,
mustard(mill),
inference(hyper,[status(thm)],[471,2]),
[iquote('hyper,471,2')] ).
cnf(473,plain,
( oneof(cole)
| oneof(dix) ),
inference(hyper,[status(thm)],[472,38]),
[iquote('hyper,472,38')] ).
cnf(474,plain,
( oneof(dix)
| mustard(cole) ),
inference(hyper,[status(thm)],[473,6,433]),
[iquote('hyper,473,6,433')] ).
cnf(481,plain,
( mustard(cole)
| salt(lang) ),
inference(hyper,[status(thm)],[474,31]),
[iquote('hyper,474,31')] ).
cnf(489,plain,
mustard(cole),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[481,7,435,434])])]),
[iquote('hyper,481,7,435,434,factor_simp,factor_simp')] ).
cnf(490,plain,
( both(dix)
| both(lang) ),
inference(hyper,[status(thm)],[489,20]),
[iquote('hyper,489,20')] ).
cnf(491,plain,
( both(cole)
| both(dix) ),
inference(hyper,[status(thm)],[489,10,357]),
[iquote('hyper,489,10,357')] ).
cnf(497,plain,
( both(dix)
| oneof(cole) ),
inference(hyper,[status(thm)],[490,5,392]),
[iquote('hyper,490,5,392')] ).
cnf(509,plain,
both(dix),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[497,5,491])]),
[iquote('hyper,497,5,491,factor_simp')] ).
cnf(510,plain,
oneof(cole),
inference(hyper,[status(thm)],[509,5,473]),
[iquote('hyper,509,5,473')] ).
cnf(513,plain,
salt(dix),
inference(hyper,[status(thm)],[509,1]),
[iquote('hyper,509,1')] ).
cnf(515,plain,
( neither(barry)
| both(cole) ),
inference(hyper,[status(thm)],[513,23]),
[iquote('hyper,513,23')] ).
cnf(518,plain,
both(cole),
inference(hyper,[status(thm)],[515,10,387]),
[iquote('hyper,515,10,387')] ).
cnf(519,plain,
$false,
inference(hyper,[status(thm)],[518,5,510]),
[iquote('hyper,518,5,510')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jul 27 01:10:48 EDT 2022
% 0.11/0.32 % CPUTime :
% 1.70/1.91 ----- Otter 3.3f, August 2004 -----
% 1.70/1.91 The process was started by sandbox2 on n017.cluster.edu,
% 1.70/1.91 Wed Jul 27 01:10:48 2022
% 1.70/1.91 The command was "./otter". The process ID is 13957.
% 1.70/1.91
% 1.70/1.91 set(prolog_style_variables).
% 1.70/1.91 set(auto).
% 1.70/1.91 dependent: set(auto1).
% 1.70/1.91 dependent: set(process_input).
% 1.70/1.91 dependent: clear(print_kept).
% 1.70/1.91 dependent: clear(print_new_demod).
% 1.70/1.91 dependent: clear(print_back_demod).
% 1.70/1.91 dependent: clear(print_back_sub).
% 1.70/1.91 dependent: set(control_memory).
% 1.70/1.91 dependent: assign(max_mem, 12000).
% 1.70/1.91 dependent: assign(pick_given_ratio, 4).
% 1.70/1.91 dependent: assign(stats_level, 1).
% 1.70/1.91 dependent: assign(max_seconds, 10800).
% 1.70/1.91 clear(print_given).
% 1.70/1.91
% 1.70/1.91 list(usable).
% 1.70/1.91 0 [] -both(X)|salt(X).
% 1.70/1.91 0 [] -both(X)|mustard(X).
% 1.70/1.91 0 [] -salt(X)| -mustard(X)|both(X).
% 1.70/1.91 0 [] -oneof(X)|salt(X)|mustard(X).
% 1.70/1.91 0 [] -oneof(X)| -both(X).
% 1.70/1.91 0 [] -oneof(X)| -neither(X).
% 1.70/1.91 0 [] both(X)|neither(X)|oneof(X).
% 1.70/1.91 0 [] -oneof(X)| -salt(X)| -mustard(X).
% 1.70/1.91 0 [] -both(X)| -neither(X).
% 1.70/1.91 0 [] -neither(X)| -salt(X).
% 1.70/1.91 0 [] -neither(X)| -mustard(X).
% 1.70/1.91 0 [] salt(X)|mustard(X)|neither(X).
% 1.70/1.91 0 [] -salt(barry)|oneof(cole)|oneof(lang).
% 1.70/1.91 0 [] -oneof(cole)|salt(barry).
% 1.70/1.91 0 [] -oneof(lang)|salt(barry).
% 1.70/1.91 0 [] -mustard(barry)|neither(dix)|both(mill).
% 1.70/1.91 0 [] -neither(dix)|mustard(barry).
% 1.70/1.91 0 [] -both(mill)|mustard(barry).
% 1.70/1.91 0 [] -salt(cole)|oneof(barry)|neither(mill).
% 1.70/1.91 0 [] -oneof(barry)|salt(cole).
% 1.70/1.91 0 [] -neither(mill)|salt(cole).
% 1.70/1.91 0 [] -mustard(cole)|both(dix)|both(lang).
% 1.70/1.91 0 [] -both(dix)|mustard(cole).
% 1.70/1.91 0 [] -both(lang)|mustard(cole).
% 1.70/1.91 0 [] -salt(dix)|neither(barry)|both(cole).
% 1.70/1.91 0 [] -neither(barry)|salt(dix).
% 1.70/1.91 0 [] -both(cole)|salt(dix).
% 1.70/1.91 0 [] -mustard(dix)|neither(lang)|neither(mill).
% 1.70/1.91 0 [] -neither(lang)|mustard(dix).
% 1.70/1.91 0 [] -neither(mill)|mustard(dix).
% 1.70/1.91 0 [] -salt(lang)|oneof(barry)|oneof(dix).
% 1.70/1.91 0 [] -oneof(barry)|salt(lang).
% 1.70/1.91 0 [] -oneof(dix)|salt(lang).
% 1.70/1.91 0 [] -mustard(lang)|neither(cole)|neither(mill).
% 1.70/1.91 0 [] -neither(cole)|mustard(lang).
% 1.70/1.91 0 [] -neither(mill)|mustard(lang).
% 1.70/1.91 0 [] -salt(mill)|both(barry)|both(lang).
% 1.70/1.91 0 [] -both(barry)|salt(mill).
% 1.70/1.91 0 [] -both(lang)|mustard(mill).
% 1.70/1.91 0 [] -mustard(mill)|oneof(cole)|oneof(dix).
% 1.70/1.91 0 [] -oneof(cole)|mustard(mill).
% 1.70/1.91 0 [] -oneof(dix)|mustard(mill).
% 1.70/1.91 0 [] -neither(cole)| -neither(dix)| -both(barry)| -oneof(lang)| -salt(mill)| -mustard(lang)| -oneof(mill).
% 1.70/1.91 end_of_list.
% 1.70/1.91
% 1.70/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 1.70/1.91
% 1.70/1.91 This is a non-Horn set without equality. The strategy will
% 1.70/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.70/1.91 satellites in sos and with nuclei in usable.
% 1.70/1.91
% 1.70/1.91 dependent: set(hyper_res).
% 1.70/1.91 dependent: set(factor).
% 1.70/1.91 dependent: set(unit_deletion).
% 1.70/1.91
% 1.70/1.91 ------------> process usable:
% 1.70/1.91 ** KEPT (pick-wt=4): 1 [] -both(A)|salt(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 2 [] -both(A)|mustard(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 3 [] -salt(A)| -mustard(A)|both(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 4 [] -oneof(A)|salt(A)|mustard(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 5 [] -oneof(A)| -both(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 6 [] -oneof(A)| -neither(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 7 [] -oneof(A)| -salt(A)| -mustard(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 8 [] -both(A)| -neither(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 9 [] -neither(A)| -salt(A).
% 1.70/1.91 ** KEPT (pick-wt=4): 10 [] -neither(A)| -mustard(A).
% 1.70/1.91 ** KEPT (pick-wt=6): 11 [] -salt(barry)|oneof(cole)|oneof(lang).
% 1.70/1.91 ** KEPT (pick-wt=4): 12 [] -oneof(cole)|salt(barry).
% 1.70/1.91 ** KEPT (pick-wt=4): 13 [] -oneof(lang)|salt(barry).
% 1.70/1.91 ** KEPT (pick-wt=6): 14 [] -mustard(barry)|neither(dix)|both(mill).
% 1.70/1.91 ** KEPT (pick-wt=4): 15 [] -neither(dix)|mustard(barry).
% 1.70/1.91 ** KEPT (pick-wt=4): 16 [] -both(mill)|mustard(barry).
% 1.70/1.91 ** KEPT (pick-wt=6): 17 [] -salt(cole)|oneof(barry)|neither(mill).
% 1.70/1.91 ** KEPT (pick-wt=4): 18 [] -oneof(barry)|salt(cole).
% 1.70/1.91 ** KEPT (pick-wt=4): 19 [] -neither(mill)|salt(cole).
% 1.70/1.91 ** KEPT (pick-wt=6): 20 [] -mustard(cole)|both(dix)|both(lang).
% 1.70/1.91 ** KEPT (pick-wt=4): 21 [] -both(dix)|mustard(cole).
% 1.70/1.91 ** KEPT (pick-wt=4): 22 [] -both(lang)|mustard(cole).
% 1.70/1.91 ** KEPT (pick-wt=6): 23 [] -salt(dix)|neither(barry)|both(cole).
% 1.70/1.91 ** KEPT (pick-wt=4): 24 [] -neither(barry)|salt(dix).
% 1.70/1.91 ** KEPT (pick-wt=4): 25 [] -both(cole)|salt(dix).
% 1.70/1.91 ** KEPT (pick-wt=6): 26 [] -mustard(dix)|neither(lang)|neither(mill).
% 1.70/1.91 ** KEPT (pick-wt=4): 27 [] -neither(lang)|mustard(dix).
% 1.70/1.91 ** KEPT (pick-wt=4): 28 [] -neither(mill)|mustard(dix).
% 2.04/2.23 ** KEPT (pick-wt=6): 29 [] -salt(lang)|oneof(barry)|oneof(dix).
% 2.04/2.23 ** KEPT (pick-wt=4): 30 [] -oneof(barry)|salt(lang).
% 2.04/2.23 ** KEPT (pick-wt=4): 31 [] -oneof(dix)|salt(lang).
% 2.04/2.23 ** KEPT (pick-wt=6): 32 [] -mustard(lang)|neither(cole)|neither(mill).
% 2.04/2.23 ** KEPT (pick-wt=4): 33 [] -neither(cole)|mustard(lang).
% 2.04/2.23 ** KEPT (pick-wt=4): 34 [] -neither(mill)|mustard(lang).
% 2.04/2.23 ** KEPT (pick-wt=6): 35 [] -salt(mill)|both(barry)|both(lang).
% 2.04/2.23 ** KEPT (pick-wt=4): 36 [] -both(barry)|salt(mill).
% 2.04/2.23 ** KEPT (pick-wt=4): 37 [] -both(lang)|mustard(mill).
% 2.04/2.23 ** KEPT (pick-wt=6): 38 [] -mustard(mill)|oneof(cole)|oneof(dix).
% 2.04/2.23 ** KEPT (pick-wt=4): 39 [] -oneof(cole)|mustard(mill).
% 2.04/2.23 ** KEPT (pick-wt=4): 40 [] -oneof(dix)|mustard(mill).
% 2.04/2.23 ** KEPT (pick-wt=14): 41 [] -neither(cole)| -neither(dix)| -both(barry)| -oneof(lang)| -salt(mill)| -mustard(lang)| -oneof(mill).
% 2.04/2.23
% 2.04/2.23 ------------> process sos:
% 2.04/2.23 ** KEPT (pick-wt=6): 42 [] both(A)|neither(A)|oneof(A).
% 2.04/2.23 ** KEPT (pick-wt=6): 43 [] salt(A)|mustard(A)|neither(A).
% 2.04/2.23
% 2.04/2.23 ======= end of input processing =======
% 2.04/2.23
% 2.04/2.23 =========== start of search ===========
% 2.04/2.23
% 2.04/2.23 -------- PROOF --------
% 2.04/2.23
% 2.04/2.23 -----> EMPTY CLAUSE at 0.33 sec ----> 519 [hyper,518,5,510] $F.
% 2.04/2.23
% 2.04/2.23 Length of proof is 89. Level of proof is 43.
% 2.04/2.23
% 2.04/2.23 ---------------- PROOF ----------------
% 2.04/2.23 % SZS status Unsatisfiable
% 2.04/2.23 % SZS output start Refutation
% See solution above
% 2.04/2.23 ------------ end of proof -------------
% 2.04/2.23
% 2.04/2.23
% 2.04/2.23 Search stopped by max_proofs option.
% 2.04/2.23
% 2.04/2.23
% 2.04/2.23 Search stopped by max_proofs option.
% 2.04/2.23
% 2.04/2.23 ============ end of search ============
% 2.04/2.23
% 2.04/2.23 -------------- statistics -------------
% 2.04/2.23 clauses given 205
% 2.04/2.23 clauses generated 12055
% 2.04/2.23 clauses kept 518
% 2.04/2.23 clauses forward subsumed 11579
% 2.04/2.23 clauses back subsumed 483
% 2.04/2.23 Kbytes malloced 976
% 2.04/2.23
% 2.04/2.23 ----------- times (seconds) -----------
% 2.04/2.23 user CPU time 0.33 (0 hr, 0 min, 0 sec)
% 2.04/2.23 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.04/2.23 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.04/2.23
% 2.04/2.23 That finishes the proof of the theorem.
% 2.04/2.23
% 2.04/2.23 Process 13957 finished Wed Jul 27 01:10:50 2022
% 2.04/2.23 Otter interrupted
% 2.04/2.23 PROOF FOUND
%------------------------------------------------------------------------------