TSTP Solution File: PUZ028-5 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : PUZ028-5 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:11:25 EDT 2022
% Result : Unsatisfiable 4.44s 4.61s
% Output : Refutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of clauses : 133 ( 30 unt; 100 nHn; 133 RR)
% Number of literals : 306 ( 0 equ; 11 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( after(A,B)
| ~ after(A,C)
| ~ after(C,B) ),
file('PUZ028-5.p',unknown),
[] ).
cnf(2,axiom,
( familiar(A,B)
| not_familiar(A,B)
| ~ person(A)
| ~ person(B)
| ~ after(A,B) ),
file('PUZ028-5.p',unknown),
[] ).
cnf(3,axiom,
( ~ familiar(A,B)
| ~ familiar(B,C)
| ~ familiar(A,C) ),
file('PUZ028-5.p',unknown),
[] ).
cnf(4,axiom,
( ~ not_familiar(A,B)
| ~ not_familiar(B,C)
| ~ not_familiar(A,C) ),
file('PUZ028-5.p',unknown),
[] ).
cnf(8,axiom,
person(one),
file('PUZ028-5.p',unknown),
[] ).
cnf(9,axiom,
person(two),
file('PUZ028-5.p',unknown),
[] ).
cnf(10,axiom,
person(three),
file('PUZ028-5.p',unknown),
[] ).
cnf(11,axiom,
person(four),
file('PUZ028-5.p',unknown),
[] ).
cnf(12,axiom,
person(five),
file('PUZ028-5.p',unknown),
[] ).
cnf(13,axiom,
person(six),
file('PUZ028-5.p',unknown),
[] ).
cnf(14,axiom,
after(one,two),
file('PUZ028-5.p',unknown),
[] ).
cnf(15,axiom,
after(two,three),
file('PUZ028-5.p',unknown),
[] ).
cnf(16,axiom,
after(three,four),
file('PUZ028-5.p',unknown),
[] ).
cnf(17,axiom,
after(four,five),
file('PUZ028-5.p',unknown),
[] ).
cnf(18,axiom,
after(five,six),
file('PUZ028-5.p',unknown),
[] ).
cnf(19,plain,
( familiar(one,two)
| not_familiar(one,two) ),
inference(hyper,[status(thm)],[14,2,8,9]),
[iquote('hyper,14,2,8,9')] ).
cnf(20,plain,
( familiar(two,three)
| not_familiar(two,three) ),
inference(hyper,[status(thm)],[15,2,9,10]),
[iquote('hyper,15,2,9,10')] ).
cnf(21,plain,
after(one,three),
inference(hyper,[status(thm)],[15,1,14]),
[iquote('hyper,15,1,14')] ).
cnf(22,plain,
( familiar(three,four)
| not_familiar(three,four) ),
inference(hyper,[status(thm)],[16,2,10,11]),
[iquote('hyper,16,2,10,11')] ).
cnf(23,plain,
after(two,four),
inference(hyper,[status(thm)],[16,1,15]),
[iquote('hyper,16,1,15')] ).
cnf(24,plain,
( familiar(four,five)
| not_familiar(four,five) ),
inference(hyper,[status(thm)],[17,2,11,12]),
[iquote('hyper,17,2,11,12')] ).
cnf(25,plain,
after(three,five),
inference(hyper,[status(thm)],[17,1,16]),
[iquote('hyper,17,1,16')] ).
cnf(26,plain,
( familiar(five,six)
| not_familiar(five,six) ),
inference(hyper,[status(thm)],[18,2,12,13]),
[iquote('hyper,18,2,12,13')] ).
cnf(27,plain,
after(four,six),
inference(hyper,[status(thm)],[18,1,17]),
[iquote('hyper,18,1,17')] ).
cnf(28,plain,
( familiar(one,three)
| not_familiar(one,three) ),
inference(hyper,[status(thm)],[21,2,8,10]),
[iquote('hyper,21,2,8,10')] ).
cnf(29,plain,
after(one,four),
inference(hyper,[status(thm)],[21,1,16]),
[iquote('hyper,21,1,16')] ).
cnf(30,plain,
( familiar(two,four)
| not_familiar(two,four) ),
inference(hyper,[status(thm)],[23,2,9,11]),
[iquote('hyper,23,2,9,11')] ).
cnf(31,plain,
after(two,five),
inference(hyper,[status(thm)],[23,1,17]),
[iquote('hyper,23,1,17')] ).
cnf(32,plain,
( familiar(three,five)
| not_familiar(three,five) ),
inference(hyper,[status(thm)],[25,2,10,12]),
[iquote('hyper,25,2,10,12')] ).
cnf(33,plain,
after(one,five),
inference(hyper,[status(thm)],[25,1,21]),
[iquote('hyper,25,1,21')] ).
cnf(34,plain,
after(three,six),
inference(hyper,[status(thm)],[25,1,18]),
[iquote('hyper,25,1,18')] ).
cnf(35,plain,
( familiar(four,six)
| not_familiar(four,six) ),
inference(hyper,[status(thm)],[27,2,11,13]),
[iquote('hyper,27,2,11,13')] ).
cnf(36,plain,
after(two,six),
inference(hyper,[status(thm)],[27,1,23]),
[iquote('hyper,27,1,23')] ).
cnf(37,plain,
( familiar(one,four)
| not_familiar(one,four) ),
inference(hyper,[status(thm)],[29,2,8,11]),
[iquote('hyper,29,2,8,11')] ).
cnf(38,plain,
after(one,six),
inference(hyper,[status(thm)],[29,1,27]),
[iquote('hyper,29,1,27')] ).
cnf(39,plain,
( familiar(two,five)
| not_familiar(two,five) ),
inference(hyper,[status(thm)],[31,2,9,12]),
[iquote('hyper,31,2,9,12')] ).
cnf(40,plain,
( familiar(one,five)
| not_familiar(one,five) ),
inference(hyper,[status(thm)],[33,2,8,12]),
[iquote('hyper,33,2,8,12')] ).
cnf(41,plain,
( familiar(three,six)
| not_familiar(three,six) ),
inference(hyper,[status(thm)],[34,2,10,13]),
[iquote('hyper,34,2,10,13')] ).
cnf(42,plain,
( familiar(two,six)
| not_familiar(two,six) ),
inference(hyper,[status(thm)],[36,2,9,13]),
[iquote('hyper,36,2,9,13')] ).
cnf(43,plain,
( familiar(one,six)
| not_familiar(one,six) ),
inference(hyper,[status(thm)],[38,2,8,13]),
[iquote('hyper,38,2,8,13')] ).
cnf(44,plain,
( familiar(one,three)
| familiar(one,two)
| familiar(two,three) ),
inference(hyper,[status(thm)],[28,4,19,20]),
[iquote('hyper,28,4,19,20')] ).
cnf(45,plain,
( familiar(two,four)
| familiar(two,three)
| familiar(three,four) ),
inference(hyper,[status(thm)],[30,4,20,22]),
[iquote('hyper,30,4,20,22')] ).
cnf(46,plain,
( familiar(three,five)
| familiar(three,four)
| familiar(four,five) ),
inference(hyper,[status(thm)],[32,4,22,24]),
[iquote('hyper,32,4,22,24')] ).
cnf(47,plain,
( familiar(four,six)
| familiar(four,five)
| familiar(five,six) ),
inference(hyper,[status(thm)],[35,4,24,26]),
[iquote('hyper,35,4,24,26')] ).
cnf(48,plain,
( familiar(one,four)
| familiar(one,three)
| familiar(three,four) ),
inference(hyper,[status(thm)],[37,4,28,22]),
[iquote('hyper,37,4,28,22')] ).
cnf(49,plain,
( familiar(one,four)
| familiar(one,two)
| familiar(two,four) ),
inference(hyper,[status(thm)],[37,4,19,30]),
[iquote('hyper,37,4,19,30')] ).
cnf(50,plain,
( familiar(two,five)
| familiar(two,four)
| familiar(four,five) ),
inference(hyper,[status(thm)],[39,4,30,24]),
[iquote('hyper,39,4,30,24')] ).
cnf(51,plain,
( familiar(two,five)
| familiar(two,three)
| familiar(three,five) ),
inference(hyper,[status(thm)],[39,4,20,32]),
[iquote('hyper,39,4,20,32')] ).
cnf(52,plain,
( familiar(one,five)
| familiar(one,four)
| familiar(four,five) ),
inference(hyper,[status(thm)],[40,4,37,24]),
[iquote('hyper,40,4,37,24')] ).
cnf(53,plain,
( familiar(one,five)
| familiar(one,three)
| familiar(three,five) ),
inference(hyper,[status(thm)],[40,4,28,32]),
[iquote('hyper,40,4,28,32')] ).
cnf(54,plain,
( familiar(one,five)
| familiar(one,two)
| familiar(two,five) ),
inference(hyper,[status(thm)],[40,4,19,39]),
[iquote('hyper,40,4,19,39')] ).
cnf(55,plain,
( familiar(three,six)
| familiar(three,five)
| familiar(five,six) ),
inference(hyper,[status(thm)],[41,4,32,26]),
[iquote('hyper,41,4,32,26')] ).
cnf(56,plain,
( familiar(three,six)
| familiar(three,four)
| familiar(four,six) ),
inference(hyper,[status(thm)],[41,4,22,35]),
[iquote('hyper,41,4,22,35')] ).
cnf(57,plain,
( familiar(two,six)
| familiar(two,five)
| familiar(five,six) ),
inference(hyper,[status(thm)],[42,4,39,26]),
[iquote('hyper,42,4,39,26')] ).
cnf(58,plain,
( familiar(two,six)
| familiar(two,four)
| familiar(four,six) ),
inference(hyper,[status(thm)],[42,4,30,35]),
[iquote('hyper,42,4,30,35')] ).
cnf(59,plain,
( familiar(two,six)
| familiar(two,three)
| familiar(three,six) ),
inference(hyper,[status(thm)],[42,4,20,41]),
[iquote('hyper,42,4,20,41')] ).
cnf(60,plain,
( familiar(one,six)
| familiar(one,five)
| familiar(five,six) ),
inference(hyper,[status(thm)],[43,4,40,26]),
[iquote('hyper,43,4,40,26')] ).
cnf(61,plain,
( familiar(one,six)
| familiar(one,four)
| familiar(four,six) ),
inference(hyper,[status(thm)],[43,4,37,35]),
[iquote('hyper,43,4,37,35')] ).
cnf(62,plain,
( familiar(one,six)
| familiar(one,three)
| familiar(three,six) ),
inference(hyper,[status(thm)],[43,4,28,41]),
[iquote('hyper,43,4,28,41')] ).
cnf(63,plain,
( familiar(one,six)
| familiar(one,two)
| familiar(two,six) ),
inference(hyper,[status(thm)],[43,4,19,42]),
[iquote('hyper,43,4,19,42')] ).
cnf(67,plain,
( familiar(one,four)
| familiar(two,four)
| familiar(three,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[49,3,45,48])])])]),
[iquote('hyper,49,3,45,48,factor_simp,factor_simp,factor_simp')] ).
cnf(69,plain,
( familiar(two,four)
| familiar(four,five)
| familiar(three,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[50,3,45,46])])])]),
[iquote('hyper,50,3,45,46,factor_simp,factor_simp,factor_simp')] ).
cnf(76,plain,
( familiar(two,five)
| familiar(three,five)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[51,3,46,50])])])]),
[iquote('hyper,51,3,46,50,factor_simp,factor_simp,factor_simp')] ).
cnf(81,plain,
( familiar(one,four)
| familiar(four,five)
| familiar(two,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[52,3,49,50])])])]),
[iquote('hyper,52,3,49,50,factor_simp,factor_simp,factor_simp')] ).
cnf(83,plain,
( familiar(one,four)
| familiar(four,five)
| familiar(three,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[52,3,48,46])])])]),
[iquote('hyper,52,3,48,46,factor_simp,factor_simp,factor_simp')] ).
cnf(96,plain,
( familiar(one,three)
| familiar(three,five)
| familiar(three,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[53,3,48,46])])])]),
[iquote('hyper,53,3,48,46,factor_simp,factor_simp,factor_simp')] ).
cnf(97,plain,
( familiar(one,three)
| familiar(three,five)
| familiar(two,three) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[53,3,44,51])])])]),
[iquote('hyper,53,3,44,51,factor_simp,factor_simp,factor_simp')] ).
cnf(99,plain,
( familiar(one,five)
| familiar(three,five)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[53,3,46,52])])])]),
[iquote('hyper,53,3,46,52,factor_simp,factor_simp,factor_simp')] ).
cnf(106,plain,
( familiar(one,two)
| familiar(two,five)
| familiar(two,three) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[54,3,44,51])])])]),
[iquote('hyper,54,3,44,51,factor_simp,factor_simp,factor_simp')] ).
cnf(107,plain,
( familiar(one,five)
| familiar(two,five)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[54,3,51,53])])])]),
[iquote('hyper,54,3,51,53,factor_simp,factor_simp,factor_simp')] ).
cnf(108,plain,
( familiar(one,five)
| familiar(two,five)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[54,3,50,52])])])]),
[iquote('hyper,54,3,50,52,factor_simp,factor_simp,factor_simp')] ).
cnf(109,plain,
( familiar(one,five)
| familiar(one,two)
| familiar(one,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[54,3,49,52])])])]),
[iquote('hyper,54,3,49,52,factor_simp,factor_simp,factor_simp')] ).
cnf(125,plain,
( familiar(three,four)
| familiar(four,six)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[56,3,46,47])])])]),
[iquote('hyper,56,3,46,47,factor_simp,factor_simp,factor_simp')] ).
cnf(134,plain,
( familiar(three,six)
| familiar(four,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[56,3,47,55])])])]),
[iquote('hyper,56,3,47,55,factor_simp,factor_simp,factor_simp')] ).
cnf(137,plain,
( familiar(three,six)
| familiar(three,four)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[56,3,46,55])])])]),
[iquote('hyper,56,3,46,55,factor_simp,factor_simp,factor_simp')] ).
cnf(163,plain,
( familiar(two,four)
| familiar(four,six)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[58,3,50,47])])])]),
[iquote('hyper,58,3,50,47,factor_simp,factor_simp,factor_simp')] ).
cnf(164,plain,
( familiar(two,four)
| familiar(four,six)
| familiar(three,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[58,3,45,56])])])]),
[iquote('hyper,58,3,45,56,factor_simp,factor_simp,factor_simp')] ).
cnf(172,plain,
( familiar(two,six)
| familiar(four,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[58,3,47,57])])])]),
[iquote('hyper,58,3,47,57,factor_simp,factor_simp,factor_simp')] ).
cnf(179,plain,
( familiar(two,three)
| familiar(three,six)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[59,3,51,55])])])]),
[iquote('hyper,59,3,51,55,factor_simp,factor_simp,factor_simp')] ).
cnf(184,plain,
( familiar(two,six)
| familiar(three,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[59,3,55,57])])])]),
[iquote('hyper,59,3,55,57,factor_simp,factor_simp,factor_simp')] ).
cnf(190,plain,
( familiar(two,six)
| familiar(two,three)
| familiar(two,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[59,3,51,57])])])]),
[iquote('hyper,59,3,51,57,factor_simp,factor_simp,factor_simp')] ).
cnf(243,plain,
( familiar(one,four)
| familiar(four,six)
| familiar(two,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[61,3,49,58])])])]),
[iquote('hyper,61,3,49,58,factor_simp,factor_simp,factor_simp')] ).
cnf(256,plain,
( familiar(one,six)
| familiar(four,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[61,3,47,60])])])]),
[iquote('hyper,61,3,47,60,factor_simp,factor_simp,factor_simp')] ).
cnf(277,plain,
( familiar(one,three)
| familiar(three,six)
| familiar(three,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[62,3,48,56])])])]),
[iquote('hyper,62,3,48,56,factor_simp,factor_simp,factor_simp')] ).
cnf(278,plain,
( familiar(one,three)
| familiar(three,six)
| familiar(two,three) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[62,3,44,59])])])]),
[iquote('hyper,62,3,44,59,factor_simp,factor_simp,factor_simp')] ).
cnf(281,plain,
( familiar(one,six)
| familiar(three,six)
| familiar(four,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[62,3,56,61])])])]),
[iquote('hyper,62,3,56,61,factor_simp,factor_simp,factor_simp')] ).
cnf(282,plain,
( familiar(one,six)
| familiar(three,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[62,3,55,60])])])]),
[iquote('hyper,62,3,55,60,factor_simp,factor_simp,factor_simp')] ).
cnf(296,plain,
( familiar(one,two)
| familiar(two,six)
| familiar(two,three) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[63,3,44,59])])])]),
[iquote('hyper,63,3,44,59,factor_simp,factor_simp,factor_simp')] ).
cnf(297,plain,
( familiar(one,six)
| familiar(two,six)
| familiar(three,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[63,3,59,62])])])]),
[iquote('hyper,63,3,59,62,factor_simp,factor_simp,factor_simp')] ).
cnf(298,plain,
( familiar(one,six)
| familiar(two,six)
| familiar(four,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[63,3,58,61])])])]),
[iquote('hyper,63,3,58,61,factor_simp,factor_simp,factor_simp')] ).
cnf(299,plain,
( familiar(one,six)
| familiar(two,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[63,3,57,60])])])]),
[iquote('hyper,63,3,57,60,factor_simp,factor_simp,factor_simp')] ).
cnf(303,plain,
( familiar(one,six)
| familiar(one,two)
| familiar(one,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[63,3,49,61])])])]),
[iquote('hyper,63,3,49,61,factor_simp,factor_simp,factor_simp')] ).
cnf(358,plain,
( familiar(two,four)
| familiar(three,four)
| familiar(one,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[69,3,67,60])])]),
[iquote('hyper,69,3,67,60,factor_simp,factor_simp')] ).
cnf(1015,plain,
( familiar(three,four)
| familiar(one,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[358,3,256,299])])])])]),
[iquote('hyper,358,3,256,299,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(1017,plain,
( familiar(two,four)
| familiar(three,four)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[358,3,67,164])])])])]),
[iquote('hyper,358,3,67,164,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(1020,plain,
( familiar(one,six)
| familiar(five,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1015,3,256,282])])])])]),
[iquote('hyper,1015,3,256,282,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(1021,plain,
( familiar(three,four)
| familiar(five,six)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1015,3,96,137])])])]),
[iquote('hyper,1015,3,96,137,factor_simp,factor_simp,factor_simp')] ).
cnf(1022,plain,
( familiar(three,four)
| familiar(five,six)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1015,3,83,125])])])]),
[iquote('hyper,1015,3,83,125,factor_simp,factor_simp,factor_simp')] ).
cnf(1027,plain,
( familiar(five,six)
| familiar(two,five)
| familiar(two,three) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1020,3,106,190])])]),
[iquote('hyper,1020,3,106,190,factor_simp,factor_simp')] ).
cnf(1029,plain,
( familiar(five,six)
| familiar(three,five)
| familiar(two,three) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1020,3,97,179])])]),
[iquote('hyper,1020,3,97,179,factor_simp,factor_simp')] ).
cnf(1030,plain,
( familiar(five,six)
| familiar(four,five)
| familiar(two,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1020,3,81,163])])]),
[iquote('hyper,1020,3,81,163,factor_simp,factor_simp')] ).
cnf(1043,plain,
( familiar(two,four)
| familiar(three,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1017,3,69,164])])])])]),
[iquote('hyper,1017,3,69,164,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(1050,plain,
( familiar(two,four)
| familiar(one,six)
| familiar(two,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1043,3,298,297])])]),
[iquote('hyper,1043,3,298,297,factor_simp,factor_simp')] ).
cnf(1051,plain,
( familiar(two,four)
| familiar(one,five)
| familiar(two,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1043,3,108,107])])]),
[iquote('hyper,1043,3,108,107,factor_simp,factor_simp')] ).
cnf(1052,plain,
( familiar(five,six)
| familiar(three,five)
| familiar(two,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1021,3,172,184])])])]),
[iquote('hyper,1021,3,172,184,factor_simp,factor_simp,factor_simp')] ).
cnf(1185,plain,
( familiar(five,six)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1052,3,1029,55])])])])]),
[iquote('hyper,1052,3,1029,55,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(1191,plain,
( familiar(five,six)
| familiar(two,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1185,3,1043,1030])])]),
[iquote('hyper,1185,3,1043,1030,factor_simp,factor_simp')] ).
cnf(1196,plain,
( familiar(two,four)
| familiar(one,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1191,3,81,243])])])]),
[iquote('hyper,1191,3,81,243,factor_simp,factor_simp,factor_simp')] ).
cnf(1198,plain,
( familiar(five,six)
| familiar(three,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1191,3,134,184])])])]),
[iquote('hyper,1191,3,134,184,factor_simp,factor_simp,factor_simp')] ).
cnf(1216,plain,
( familiar(two,four)
| familiar(two,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1196,3,58,1050])])])]),
[iquote('hyper,1196,3,58,1050,factor_simp,factor_simp,factor_simp')] ).
cnf(1217,plain,
( familiar(two,four)
| familiar(two,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1196,3,50,1051])])])]),
[iquote('hyper,1196,3,50,1051,factor_simp,factor_simp,factor_simp')] ).
cnf(1223,plain,
( familiar(five,six)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1198,3,1022,47])])])]),
[iquote('hyper,1198,3,1022,47,factor_simp,factor_simp,factor_simp')] ).
cnf(1225,plain,
( familiar(five,six)
| familiar(two,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1198,3,1027,57])])])]),
[iquote('hyper,1198,3,1027,57,factor_simp,factor_simp,factor_simp')] ).
cnf(1244,plain,
familiar(two,four),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1217,3,1191,1216])])]),
[iquote('hyper,1217,3,1191,1216,factor_simp,factor_simp')] ).
cnf(1247,plain,
( familiar(one,three)
| familiar(three,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1244,3,278,277])])]),
[iquote('hyper,1244,3,278,277,factor_simp,factor_simp')] ).
cnf(1251,plain,
( familiar(one,three)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1244,3,97,96])])]),
[iquote('hyper,1244,3,97,96,factor_simp,factor_simp')] ).
cnf(1253,plain,
( familiar(one,six)
| familiar(three,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1244,3,281,297])])]),
[iquote('hyper,1244,3,281,297,factor_simp,factor_simp')] ).
cnf(1254,plain,
( familiar(one,five)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1244,3,99,107])])]),
[iquote('hyper,1244,3,99,107,factor_simp,factor_simp')] ).
cnf(1261,plain,
familiar(five,six),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1225,3,1244,1223])]),
[iquote('hyper,1225,3,1244,1223,factor_simp')] ).
cnf(1266,plain,
( familiar(one,two)
| familiar(one,four) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1261,3,109,303])])]),
[iquote('hyper,1261,3,109,303,factor_simp,factor_simp')] ).
cnf(1267,plain,
( familiar(one,two)
| familiar(two,three) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1261,3,106,296])])]),
[iquote('hyper,1261,3,106,296,factor_simp,factor_simp')] ).
cnf(1290,plain,
familiar(one,three),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1251,3,1261,1247])]),
[iquote('hyper,1251,3,1261,1247,factor_simp')] ).
cnf(1298,plain,
( familiar(two,five)
| familiar(four,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1290,3,76,108])])]),
[iquote('hyper,1290,3,76,108,factor_simp,factor_simp')] ).
cnf(1310,plain,
( familiar(two,three)
| familiar(three,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1267,3,59,1253])])]),
[iquote('hyper,1267,3,59,1253,factor_simp,factor_simp')] ).
cnf(1311,plain,
( familiar(two,three)
| familiar(three,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1267,3,51,1254])])]),
[iquote('hyper,1267,3,51,1254,factor_simp,factor_simp')] ).
cnf(1312,plain,
( familiar(one,two)
| familiar(one,five) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1267,3,1254,54])])]),
[iquote('hyper,1267,3,1254,54,factor_simp,factor_simp')] ).
cnf(1313,plain,
( familiar(one,two)
| familiar(one,six) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1267,3,1253,63])])]),
[iquote('hyper,1267,3,1253,63,factor_simp,factor_simp')] ).
cnf(1346,plain,
familiar(two,three),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1311,3,1261,1310])]),
[iquote('hyper,1311,3,1261,1310,factor_simp')] ).
cnf(1347,plain,
familiar(one,four),
inference(hyper,[status(thm)],[1346,3,1266,1290]),
[iquote('hyper,1346,3,1266,1290')] ).
cnf(1352,plain,
familiar(one,five),
inference(hyper,[status(thm)],[1312,3,1346,1290]),
[iquote('hyper,1312,3,1346,1290')] ).
cnf(1359,plain,
familiar(two,five),
inference(hyper,[status(thm)],[1352,3,1347,1298]),
[iquote('hyper,1352,3,1347,1298')] ).
cnf(1365,plain,
familiar(one,six),
inference(hyper,[status(thm)],[1313,3,1359,1352]),
[iquote('hyper,1313,3,1359,1352')] ).
cnf(1367,plain,
$false,
inference(hyper,[status(thm)],[1365,3,1352,1261]),
[iquote('hyper,1365,3,1352,1261')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ028-5 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n024.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 01:49:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.41/4.61 ----- Otter 3.3f, August 2004 -----
% 4.41/4.61 The process was started by sandbox2 on n024.cluster.edu,
% 4.41/4.61 Wed Jul 27 01:49:40 2022
% 4.41/4.61 The command was "./otter". The process ID is 18354.
% 4.41/4.61
% 4.41/4.61 set(prolog_style_variables).
% 4.41/4.61 set(auto).
% 4.41/4.61 dependent: set(auto1).
% 4.41/4.61 dependent: set(process_input).
% 4.41/4.61 dependent: clear(print_kept).
% 4.41/4.61 dependent: clear(print_new_demod).
% 4.41/4.61 dependent: clear(print_back_demod).
% 4.41/4.61 dependent: clear(print_back_sub).
% 4.41/4.61 dependent: set(control_memory).
% 4.41/4.61 dependent: assign(max_mem, 12000).
% 4.41/4.61 dependent: assign(pick_given_ratio, 4).
% 4.41/4.61 dependent: assign(stats_level, 1).
% 4.41/4.61 dependent: assign(max_seconds, 10800).
% 4.41/4.61 clear(print_given).
% 4.41/4.61
% 4.41/4.61 list(usable).
% 4.41/4.61 0 [] person(one).
% 4.41/4.61 0 [] person(two).
% 4.41/4.61 0 [] person(three).
% 4.41/4.61 0 [] person(four).
% 4.41/4.61 0 [] person(five).
% 4.41/4.61 0 [] person(six).
% 4.41/4.61 0 [] after(one,two).
% 4.41/4.61 0 [] after(two,three).
% 4.41/4.61 0 [] after(three,four).
% 4.41/4.61 0 [] after(four,five).
% 4.41/4.61 0 [] after(five,six).
% 4.41/4.61 0 [] after(Large,Small)| -after(Large,Medium)| -after(Medium,Small).
% 4.41/4.61 0 [] familiar(X,Y)|not_familiar(X,Y)| -person(X)| -person(Y)| -after(X,Y).
% 4.41/4.61 0 [] -familiar(X1,X2)| -familiar(X2,X3)| -familiar(X1,X3).
% 4.41/4.61 0 [] -not_familiar(X1,X2)| -not_familiar(X2,X3)| -not_familiar(X1,X3).
% 4.41/4.61 end_of_list.
% 4.41/4.61
% 4.41/4.61 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=5.
% 4.41/4.61
% 4.41/4.61 This is a non-Horn set without equality. The strategy will
% 4.41/4.61 be ordered hyper_res, unit deletion, and factoring, with
% 4.41/4.61 satellites in sos and with nuclei in usable.
% 4.41/4.61
% 4.41/4.61 dependent: set(hyper_res).
% 4.41/4.61 dependent: set(factor).
% 4.41/4.61 dependent: set(unit_deletion).
% 4.41/4.61
% 4.41/4.61 ------------> process usable:
% 4.41/4.61 ** KEPT (pick-wt=9): 1 [] after(A,B)| -after(A,C)| -after(C,B).
% 4.41/4.61 ** KEPT (pick-wt=13): 2 [] familiar(A,B)|not_familiar(A,B)| -person(A)| -person(B)| -after(A,B).
% 4.41/4.61 ** KEPT (pick-wt=9): 3 [] -familiar(A,B)| -familiar(B,C)| -familiar(A,C).
% 4.41/4.61 ** KEPT (pick-wt=9): 4 [] -not_familiar(A,B)| -not_familiar(B,C)| -not_familiar(A,C).
% 4.41/4.61
% 4.41/4.61 ------------> process sos:
% 4.41/4.61 ** KEPT (pick-wt=2): 8 [] person(one).
% 4.41/4.61 ** KEPT (pick-wt=2): 9 [] person(two).
% 4.41/4.61 ** KEPT (pick-wt=2): 10 [] person(three).
% 4.41/4.61 ** KEPT (pick-wt=2): 11 [] person(four).
% 4.41/4.61 ** KEPT (pick-wt=2): 12 [] person(five).
% 4.44/4.61 ** KEPT (pick-wt=2): 13 [] person(six).
% 4.44/4.61 ** KEPT (pick-wt=3): 14 [] after(one,two).
% 4.44/4.61 ** KEPT (pick-wt=3): 15 [] after(two,three).
% 4.44/4.61 ** KEPT (pick-wt=3): 16 [] after(three,four).
% 4.44/4.61 ** KEPT (pick-wt=3): 17 [] after(four,five).
% 4.44/4.61 ** KEPT (pick-wt=3): 18 [] after(five,six).
% 4.44/4.61
% 4.44/4.61 ======= end of input processing =======
% 4.44/4.61
% 4.44/4.61 =========== start of search ===========
% 4.44/4.61
% 4.44/4.61 -------- PROOF --------
% 4.44/4.61
% 4.44/4.61 -----> EMPTY CLAUSE at 2.72 sec ----> 1367 [hyper,1365,3,1352,1261] $F.
% 4.44/4.61
% 4.44/4.61 Length of proof is 117. Level of proof is 21.
% 4.44/4.61
% 4.44/4.61 ---------------- PROOF ----------------
% 4.44/4.61 % SZS status Unsatisfiable
% 4.44/4.61 % SZS output start Refutation
% See solution above
% 4.44/4.61 ------------ end of proof -------------
% 4.44/4.61
% 4.44/4.61
% 4.44/4.61 Search stopped by max_proofs option.
% 4.44/4.61
% 4.44/4.61
% 4.44/4.61 Search stopped by max_proofs option.
% 4.44/4.61
% 4.44/4.61 ============ end of search ============
% 4.44/4.61
% 4.44/4.61 -------------- statistics -------------
% 4.44/4.61 clauses given 203
% 4.44/4.61 clauses generated 241391
% 4.44/4.61 clauses kept 1366
% 4.44/4.61 clauses forward subsumed 240038
% 4.44/4.61 clauses back subsumed 1318
% 4.44/4.61 Kbytes malloced 976
% 4.44/4.61
% 4.44/4.61 ----------- times (seconds) -----------
% 4.44/4.61 user CPU time 2.73 (0 hr, 0 min, 2 sec)
% 4.44/4.61 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 4.44/4.61 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.44/4.61
% 4.44/4.61 That finishes the proof of the theorem.
% 4.44/4.61
% 4.44/4.61 Process 18354 finished Wed Jul 27 01:49:44 2022
% 4.44/4.61 Otter interrupted
% 4.44/4.61 PROOF FOUND
%------------------------------------------------------------------------------