TSTP Solution File: GRP128-2.006 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP128-2.006 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 12:56:12 EDT 2022
% Result : Unsatisfiable 78.02s 78.24s
% Output : Refutation 78.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ product(A,e_1,B)
| ~ next(A,C)
| ~ greater(B,C) ),
file('GRP128-2.006.p',unknown),
[] ).
cnf(2,axiom,
~ e_qualish(e_1,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(3,axiom,
~ e_qualish(e_1,e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(4,axiom,
~ e_qualish(e_1,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(5,axiom,
~ e_qualish(e_1,e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(6,axiom,
~ e_qualish(e_1,e_6),
file('GRP128-2.006.p',unknown),
[] ).
cnf(7,axiom,
~ e_qualish(e_2,e_1),
file('GRP128-2.006.p',unknown),
[] ).
cnf(8,axiom,
~ e_qualish(e_2,e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(9,axiom,
~ e_qualish(e_2,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(10,axiom,
~ e_qualish(e_2,e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(11,axiom,
~ e_qualish(e_2,e_6),
file('GRP128-2.006.p',unknown),
[] ).
cnf(12,axiom,
~ e_qualish(e_3,e_1),
file('GRP128-2.006.p',unknown),
[] ).
cnf(13,axiom,
~ e_qualish(e_3,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(14,axiom,
~ e_qualish(e_3,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(15,axiom,
~ e_qualish(e_3,e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(16,axiom,
~ e_qualish(e_3,e_6),
file('GRP128-2.006.p',unknown),
[] ).
cnf(17,axiom,
~ e_qualish(e_4,e_1),
file('GRP128-2.006.p',unknown),
[] ).
cnf(18,axiom,
~ e_qualish(e_4,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(19,axiom,
~ e_qualish(e_4,e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(20,axiom,
~ e_qualish(e_4,e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(21,axiom,
~ e_qualish(e_4,e_6),
file('GRP128-2.006.p',unknown),
[] ).
cnf(22,axiom,
~ e_qualish(e_5,e_1),
file('GRP128-2.006.p',unknown),
[] ).
cnf(23,axiom,
~ e_qualish(e_5,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(25,axiom,
~ e_qualish(e_5,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(26,axiom,
~ e_qualish(e_5,e_6),
file('GRP128-2.006.p',unknown),
[] ).
cnf(27,axiom,
~ e_qualish(e_6,e_1),
file('GRP128-2.006.p',unknown),
[] ).
cnf(28,axiom,
~ e_qualish(e_6,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(30,axiom,
~ e_qualish(e_6,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(31,axiom,
~ e_qualish(e_6,e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(32,axiom,
( ~ group_element(A)
| ~ group_element(B)
| product(A,B,e_1)
| product(A,B,e_2)
| product(A,B,e_3)
| product(A,B,e_4)
| product(A,B,e_5)
| product(A,B,e_6) ),
file('GRP128-2.006.p',unknown),
[] ).
cnf(33,axiom,
( ~ product(A,B,C)
| ~ product(A,B,D)
| e_qualish(C,D) ),
file('GRP128-2.006.p',unknown),
[] ).
cnf(34,axiom,
( ~ product(A,B,C)
| ~ product(A,D,C)
| e_qualish(B,D) ),
file('GRP128-2.006.p',unknown),
[] ).
cnf(35,axiom,
( ~ product(A,B,C)
| ~ product(D,B,C)
| e_qualish(A,D) ),
file('GRP128-2.006.p',unknown),
[] ).
cnf(36,axiom,
( ~ product(A,B,C)
| ~ product(C,B,D)
| product(A,C,D) ),
file('GRP128-2.006.p',unknown),
[] ).
cnf(37,plain,
( ~ group_element(A)
| product(A,A,e_1)
| product(A,A,e_2)
| product(A,A,e_3)
| product(A,A,e_4)
| product(A,A,e_5)
| product(A,A,e_6) ),
inference(factor,[status(thm)],[32]),
[iquote('factor,32.1.2')] ).
cnf(41,plain,
( ~ product(A,B,A)
| product(A,A,A) ),
inference(factor,[status(thm)],[36]),
[iquote('factor,36.1.2')] ).
cnf(42,axiom,
next(e_1,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(43,axiom,
next(e_2,e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(44,axiom,
next(e_3,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(45,axiom,
next(e_4,e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(52,axiom,
greater(e_3,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(53,axiom,
greater(e_4,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(54,axiom,
greater(e_5,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(55,axiom,
greater(e_6,e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(56,axiom,
greater(e_4,e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(57,axiom,
greater(e_5,e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(58,axiom,
greater(e_6,e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(59,axiom,
greater(e_5,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(60,axiom,
greater(e_6,e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(61,axiom,
greater(e_6,e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(62,axiom,
group_element(e_1),
file('GRP128-2.006.p',unknown),
[] ).
cnf(63,axiom,
group_element(e_2),
file('GRP128-2.006.p',unknown),
[] ).
cnf(64,axiom,
group_element(e_3),
file('GRP128-2.006.p',unknown),
[] ).
cnf(65,axiom,
group_element(e_4),
file('GRP128-2.006.p',unknown),
[] ).
cnf(66,axiom,
group_element(e_5),
file('GRP128-2.006.p',unknown),
[] ).
cnf(67,axiom,
group_element(e_6),
file('GRP128-2.006.p',unknown),
[] ).
cnf(68,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5)
| product(e_1,e_1,e_6) ),
inference(hyper,[status(thm)],[62,37]),
[iquote('hyper,62,37')] ).
cnf(69,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_6) ),
inference(hyper,[status(thm)],[63,37]),
[iquote('hyper,63,37')] ).
cnf(71,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_6) ),
inference(hyper,[status(thm)],[63,32,62]),
[iquote('hyper,63,32,62')] ).
cnf(75,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference(hyper,[status(thm)],[64,32,63]),
[iquote('hyper,64,32,63')] ).
cnf(76,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_6) ),
inference(hyper,[status(thm)],[64,32,62]),
[iquote('hyper,64,32,62')] ).
cnf(79,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(hyper,[status(thm)],[65,32,63]),
[iquote('hyper,65,32,63')] ).
cnf(82,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_6) ),
inference(hyper,[status(thm)],[65,32,63]),
[iquote('hyper,65,32,63')] ).
cnf(83,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_6) ),
inference(hyper,[status(thm)],[65,32,62]),
[iquote('hyper,65,32,62')] ).
cnf(87,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_6) ),
inference(hyper,[status(thm)],[66,32,63]),
[iquote('hyper,66,32,63')] ).
cnf(92,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(hyper,[status(thm)],[66,32,62]),
[iquote('hyper,66,32,62')] ).
cnf(97,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_6) ),
inference(hyper,[status(thm)],[67,32,63]),
[iquote('hyper,67,32,63')] ).
cnf(103,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_6) ),
inference(hyper,[status(thm)],[67,32,62]),
[iquote('hyper,67,32,62')] ).
cnf(109,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5)
| product(e_1,e_1,e_6) ),
inference(hyper,[status(thm)],[68,1,42,52]),
[iquote('hyper,68,1,42,52')] ).
cnf(124,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_5)
| product(e_1,e_1,e_6) ),
inference(hyper,[status(thm)],[109,1,42,53]),
[iquote('hyper,109,1,42,53')] ).
cnf(136,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_6) ),
inference(hyper,[status(thm)],[124,1,42,54]),
[iquote('hyper,124,1,42,54')] ).
cnf(145,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(hyper,[status(thm)],[136,1,42,55]),
[iquote('hyper,136,1,42,55')] ).
cnf(218,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_6) ),
inference(hyper,[status(thm)],[71,1,43,56]),
[iquote('hyper,71,1,43,56')] ).
cnf(253,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_6) ),
inference(hyper,[status(thm)],[218,1,43,57]),
[iquote('hyper,218,1,43,57')] ).
cnf(282,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(hyper,[status(thm)],[253,1,43,58]),
[iquote('hyper,253,1,43,58')] ).
cnf(286,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[282,36,145])]),
[iquote('hyper,282,36,145,factor_simp')] ).
cnf(356,plain,
( product(e_2,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[286,35,145]),2])]),
[iquote('hyper,286,35,145,unit_del,2,factor_simp')] ).
cnf(361,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[286,35,282]),7])])]),
[iquote('hyper,286,35,282,unit_del,7,factor_simp,factor_simp')] ).
cnf(363,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[356,36,145])]),
[iquote('hyper,356,36,145,factor_simp')] ).
cnf(429,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_2,e_2) ),
inference(hyper,[status(thm)],[361,41]),
[iquote('hyper,361,41')] ).
cnf(553,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_6) ),
inference(hyper,[status(thm)],[76,1,44,59]),
[iquote('hyper,76,1,44,59')] ).
cnf(566,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[429,34,69]),7])]),
[iquote('hyper,429,34,69,unit_del,7,factor_simp')] ).
cnf(568,plain,
product(e_2,e_1,e_3),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[429,34,361]),2])]),
[iquote('hyper,429,34,361,unit_del,2,factor_simp')] ).
cnf(657,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[553,35,568]),8]),
[iquote('hyper,553,35,568,unit_del,8')] ).
cnf(691,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(hyper,[status(thm)],[657,1,44,60]),
[iquote('hyper,657,1,44,60')] ).
cnf(714,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[79,34,568]),4]),
[iquote('hyper,79,34,568,unit_del,4')] ).
cnf(738,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[691,36,145])]),
[iquote('hyper,691,36,145,factor_simp')] ).
cnf(839,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[738,35,691]),12])])]),
[iquote('hyper,738,35,691,unit_del,12,factor_simp,factor_simp')] ).
cnf(847,plain,
( product(e_3,e_1,e_4)
| product(e_2,e_3,e_2) ),
inference(hyper,[status(thm)],[839,36,568]),
[iquote('hyper,839,36,568')] ).
cnf(848,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(hyper,[status(thm)],[839,36,568]),
[iquote('hyper,839,36,568')] ).
cnf(923,plain,
( product(e_3,e_1,e_4)
| product(e_2,e_2,e_2) ),
inference(hyper,[status(thm)],[847,41]),
[iquote('hyper,847,41')] ).
cnf(988,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[848,34,75]),7])]),
[iquote('hyper,848,34,75,unit_del,7,factor_simp')] ).
cnf(1061,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[83,35,568]),9]),
[iquote('hyper,83,35,568,unit_del,9')] ).
cnf(1100,plain,
product(e_3,e_1,e_4),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[923,34,847]),13])]),
[iquote('hyper,923,34,847,unit_del,13,factor_simp')] ).
cnf(1102,plain,
product(e_2,e_3,e_4),
inference(hyper,[status(thm)],[1100,36,568]),
[iquote('hyper,1100,36,568')] ).
cnf(1140,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[566,34,1102]),13]),
[iquote('hyper,566,34,1102,unit_del,13')] ).
cnf(1231,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[714,34,1102]),14]),
[iquote('hyper,714,34,1102,unit_del,14')] ).
cnf(1254,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6)
| product(e_2,e_2,e_2) ),
inference(hyper,[status(thm)],[1231,41]),
[iquote('hyper,1231,41')] ).
cnf(1340,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1254,34,1231]),18])])])]),
[iquote('hyper,1254,34,1231,unit_del,18,factor_simp,factor_simp,factor_simp')] ).
cnf(1379,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[87,34,568]),5]),
[iquote('hyper,87,34,568,unit_del,5')] ).
cnf(1412,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6)
| product(e_3,e_3,e_3) ),
inference(hyper,[status(thm)],[988,41]),
[iquote('hyper,988,41')] ).
cnf(1466,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1061,35,1100]),14]),
[iquote('hyper,1061,35,1100,unit_del,14')] ).
cnf(1558,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_5) ),
inference(hyper,[status(thm)],[1466,1,45,61]),
[iquote('hyper,1466,1,45,61')] ).
cnf(1560,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1558,36,145])]),
[iquote('hyper,1558,36,145,factor_simp')] ).
cnf(1661,plain,
( product(e_4,e_1,e_5)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1560,35,145]),4])]),
[iquote('hyper,1560,35,145,unit_del,4,factor_simp')] ).
cnf(1667,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_5) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1560,35,1558]),17])])]),
[iquote('hyper,1560,35,1558,unit_del,17,factor_simp,factor_simp')] ).
cnf(1669,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_4,e_5) ),
inference(hyper,[status(thm)],[1661,36,1100]),
[iquote('hyper,1661,36,1100')] ).
cnf(1696,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_2,e_3) ),
inference(hyper,[status(thm)],[1667,36,568]),
[iquote('hyper,1667,36,568')] ).
cnf(1700,plain,
( product(e_4,e_1,e_2)
| product(e_3,e_4,e_5) ),
inference(hyper,[status(thm)],[1667,36,1100]),
[iquote('hyper,1667,36,1100')] ).
cnf(1818,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_4,e_5) ),
inference(hyper,[status(thm)],[1696,36,1100]),
[iquote('hyper,1696,36,1100')] ).
cnf(1820,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1696,34,82]),7])]),
[iquote('hyper,1696,34,82,unit_del,7,factor_simp')] ).
cnf(1844,plain,
( product(e_4,e_1,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1700,35,1340]),8]),
[iquote('hyper,1700,35,1340,unit_del,8')] ).
cnf(1878,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[92,35,568]),10]),
[iquote('hyper,92,35,568,unit_del,10')] ).
cnf(1994,plain,
( product(e_4,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1844,34,1140]),9]),
[iquote('hyper,1844,34,1140,unit_del,9')] ).
cnf(2384,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[97,34,568]),6]),
[iquote('hyper,97,34,568,unit_del,6')] ).
cnf(3305,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[103,35,568]),11]),
[iquote('hyper,103,35,568,unit_del,11')] ).
cnf(3750,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1379,34,1102]),15]),
[iquote('hyper,1379,34,1102,unit_del,15')] ).
cnf(3762,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_6)
| product(e_2,e_2,e_2) ),
inference(hyper,[status(thm)],[3750,41]),
[iquote('hyper,3750,41')] ).
cnf(3797,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3762,34,3750]),23])])])]),
[iquote('hyper,3762,34,3750,unit_del,23,factor_simp,factor_simp,factor_simp')] ).
cnf(3814,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_6)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3797,34,1844]),20]),
[iquote('hyper,3797,34,1844,unit_del,20')] ).
cnf(3835,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_6)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3797,34,1340]),20]),
[iquote('hyper,3797,34,1340,unit_del,20')] ).
cnf(3904,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1412,34,988]),8])])])])]),
[iquote('hyper,1412,34,988,unit_del,8,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(3916,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_6)
| product(e_4,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3904,34,1818]),18]),
[iquote('hyper,3904,34,1818,unit_del,18')] ).
cnf(3918,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_6)
| product(e_4,e_1,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3904,34,1700]),18]),
[iquote('hyper,3904,34,1700,unit_del,18')] ).
cnf(3919,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_6)
| product(e_1,e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3904,34,1669]),18]),
[iquote('hyper,3904,34,1669,unit_del,18')] ).
cnf(3948,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_6)
| product(e_1,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3919,36,363])]),
[iquote('hyper,3919,36,363,factor_simp')] ).
cnf(3956,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_6)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3948,41])]),
[iquote('hyper,3948,41,factor_simp')] ).
cnf(3957,plain,
( product(e_3,e_2,e_6)
| product(e_1,e_1,e_1)
| product(e_1,e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3956,36,363])]),
[iquote('hyper,3956,36,363,factor_simp')] ).
cnf(3968,plain,
( product(e_3,e_2,e_6)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3957,34,145]),3])]),
[iquote('hyper,3957,34,145,unit_del,3,factor_simp')] ).
cnf(4031,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1878,35,1100]),15]),
[iquote('hyper,1878,35,1100,unit_del,15')] ).
cnf(4045,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4031,36,145])]),
[iquote('hyper,4031,36,145,factor_simp')] ).
cnf(4098,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4045,35,4031]),22])])])]),
[iquote('hyper,4045,35,4031,unit_del,22,factor_simp,factor_simp,factor_simp')] ).
cnf(4161,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_6)
| product(e_5,e_5,e_5) ),
inference(hyper,[status(thm)],[4098,41]),
[iquote('hyper,4098,41')] ).
cnf(4269,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4161,34,4098]),5])])]),
[iquote('hyper,4161,34,4098,unit_del,5,factor_simp,factor_simp')] ).
cnf(4301,plain,
( product(e_5,e_1,e_6)
| product(e_5,e_2,e_3) ),
inference(hyper,[status(thm)],[4269,36,568]),
[iquote('hyper,4269,36,568')] ).
cnf(4302,plain,
( product(e_5,e_1,e_6)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4269,35,3918]),20]),
[iquote('hyper,4269,35,3918,unit_del,20')] ).
cnf(4305,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4269,35,1844]),20]),
[iquote('hyper,4269,35,1844,unit_del,20')] ).
cnf(4307,plain,
( product(e_5,e_1,e_6)
| product(e_4,e_1,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4269,35,1667]),20]),
[iquote('hyper,4269,35,1667,unit_del,20')] ).
cnf(4335,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_6)
| product(e_4,e_2,e_3) ),
inference(hyper,[status(thm)],[4269,36,1696]),
[iquote('hyper,4269,36,1696')] ).
cnf(4337,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_5,e_6)
| product(e_4,e_1,e_2) ),
inference(hyper,[status(thm)],[4269,36,1667]),
[iquote('hyper,4269,36,1667')] ).
cnf(4402,plain,
( product(e_5,e_1,e_6)
| product(e_4,e_5,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4307,36,4269])]),
[iquote('hyper,4307,36,4269,factor_simp')] ).
cnf(4459,plain,
( product(e_5,e_1,e_6)
| product(e_4,e_2,e_5)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_6) ),
inference(hyper,[status(thm)],[4402,36,3797]),
[iquote('hyper,4402,36,3797')] ).
cnf(4477,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_4,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4337,35,3814]),9])]),
[iquote('hyper,4337,35,3814,unit_del,9,factor_simp')] ).
cnf(4478,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4337,35,3797]),9]),
[iquote('hyper,4337,35,3797,unit_del,9')] ).
cnf(4539,plain,
( product(e_5,e_1,e_6)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_6)
| product(e_5,e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4302,36,4301])]),
[iquote('hyper,4302,36,4301,factor_simp')] ).
cnf(4554,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4459,34,4307]),2])]),
[iquote('hyper,4459,34,4307,unit_del,2,factor_simp')] ).
cnf(4564,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_5,e_6)
| product(e_4,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4554,36,4402])]),
[iquote('hyper,4554,36,4402,factor_simp')] ).
cnf(4565,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_5,e_6)
| product(e_2,e_4,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4554,34,4305]),20])]),
[iquote('hyper,4554,34,4305,unit_del,20,factor_simp')] ).
cnf(4571,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_5,e_1)
| product(e_4,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4554,36,4402])]),
[iquote('hyper,4554,36,4402,factor_simp')] ).
cnf(4583,plain,
( product(e_5,e_1,e_6)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4564,36,4402])]),
[iquote('hyper,4564,36,4402,factor_simp')] ).
cnf(4584,plain,
( product(e_5,e_1,e_6)
| product(e_4,e_2,e_1)
| product(e_2,e_4,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4564,34,4305]),20])]),
[iquote('hyper,4564,34,4305,unit_del,20,factor_simp')] ).
cnf(4602,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_4,e_6)
| product(e_4,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4565,36,4402])]),
[iquote('hyper,4565,36,4402,factor_simp')] ).
cnf(4723,plain,
( product(e_5,e_1,e_6)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4539,34,4269]),3])]),
[iquote('hyper,4539,34,4269,unit_del,3,factor_simp')] ).
cnf(4747,plain,
( product(e_5,e_1,e_6)
| product(e_3,e_2,e_6)
| product(e_5,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4723,36,4301])]),
[iquote('hyper,4723,36,4301,factor_simp')] ).
cnf(4748,plain,
( product(e_5,e_1,e_6)
| product(e_3,e_2,e_6)
| product(e_2,e_4,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4723,35,4584]),19])]),
[iquote('hyper,4723,35,4584,unit_del,19,factor_simp')] ).
cnf(4750,plain,
( product(e_5,e_1,e_6)
| product(e_3,e_2,e_6)
| product(e_2,e_5,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4723,35,4564]),19])]),
[iquote('hyper,4723,35,4564,unit_del,19,factor_simp')] ).
cnf(4756,plain,
( product(e_5,e_1,e_6)
| product(e_3,e_2,e_1)
| product(e_5,e_3,e_6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4723,36,4301])]),
[iquote('hyper,4723,36,4301,factor_simp')] ).
cnf(4784,plain,
( product(e_5,e_1,e_6)
| product(e_5,e_3,e_1)
| product(e_2,e_4,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4747,35,4602]),19])]),
[iquote('hyper,4747,35,4602,unit_del,19,factor_simp')] ).
cnf(4785,plain,
( product(e_5,e_1,e_6)
| product(e_5,e_3,e_1)
| product(e_4,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4747,35,4583]),19])]),
[iquote('hyper,4747,35,4583,unit_del,19,factor_simp')] ).
cnf(4786,plain,
( product(e_5,e_1,e_6)
| product(e_5,e_3,e_1)
| product(e_2,e_5,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4747,35,4571]),19])]),
[iquote('hyper,4747,35,4571,unit_del,19,factor_simp')] ).
cnf(4807,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_4,e_1)
| product(e_5,e_3,e_6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4748,36,4301])]),
[iquote('hyper,4748,36,4301,factor_simp')] ).
cnf(4833,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_5,e_6)
| product(e_5,e_3,e_6) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4750,36,4301])]),
[iquote('hyper,4750,36,4301,factor_simp')] ).
cnf(5173,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2384,34,1102]),16]),
[iquote('hyper,2384,34,1102,unit_del,16')] ).
cnf(5197,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_6)
| product(e_2,e_2,e_2) ),
inference(hyper,[status(thm)],[5173,41]),
[iquote('hyper,5173,41')] ).
cnf(5280,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5197,34,5173]),28])])])]),
[iquote('hyper,5197,34,5173,unit_del,28,factor_simp,factor_simp,factor_simp')] ).
cnf(5300,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_6)
| product(e_5,e_1,e_6)
| product(e_5,e_3,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5280,34,4807]),21]),
[iquote('hyper,5280,34,4807,unit_del,21')] ).
cnf(5374,plain,
( product(e_2,e_6,e_5)
| product(e_2,e_6,e_6)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5280,34,1844]),21]),
[iquote('hyper,5280,34,1844,unit_del,21')] ).
cnf(5444,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_6)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5280,34,3797]),26]),
[iquote('hyper,5280,34,3797,unit_del,26')] ).
cnf(5461,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_6)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5280,34,1340]),21]),
[iquote('hyper,5280,34,1340,unit_del,21')] ).
cnf(5570,plain,
( product(e_2,e_6,e_5)
| product(e_5,e_1,e_6)
| product(e_5,e_3,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5300,34,4833]),26])])]),
[iquote('hyper,5300,34,4833,unit_del,26,factor_simp,factor_simp')] ).
cnf(5602,plain,
( product(e_2,e_6,e_5)
| product(e_5,e_1,e_6)
| product(e_2,e_5,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5570,33,4786]),6])]),
[iquote('hyper,5570,33,4786,unit_del,6,factor_simp')] ).
cnf(5604,plain,
( product(e_2,e_6,e_5)
| product(e_5,e_1,e_6)
| product(e_2,e_4,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5570,33,4784]),6])]),
[iquote('hyper,5570,33,4784,unit_del,6,factor_simp')] ).
cnf(5618,plain,
( product(e_2,e_6,e_5)
| product(e_5,e_1,e_6)
| product(e_2,e_6,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5602,34,5280]),31])]),
[iquote('hyper,5602,34,5280,unit_del,31,factor_simp')] ).
cnf(5664,plain,
( product(e_2,e_6,e_5)
| product(e_5,e_1,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5618,34,5604]),21])])]),
[iquote('hyper,5618,34,5604,unit_del,21,factor_simp,factor_simp')] ).
cnf(5672,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5664,34,1140]),11]),
[iquote('hyper,5664,34,1140,unit_del,11')] ).
cnf(5905,plain,
( product(e_2,e_6,e_6)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_5,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5374,34,4477]),26])])]),
[iquote('hyper,5374,34,4477,unit_del,26,factor_simp,factor_simp')] ).
cnf(5933,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_6)
| product(e_2,e_4,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5444,34,3835]),21])])]),
[iquote('hyper,5444,34,3835,unit_del,21,factor_simp,factor_simp')] ).
cnf(5936,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_6)
| product(e_2,e_5,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5461,34,3835]),26])])]),
[iquote('hyper,5461,34,3835,unit_del,26,factor_simp,factor_simp')] ).
cnf(6058,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_6)
| product(e_5,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5672,35,4785]),18])]),
[iquote('hyper,5672,35,4785,unit_del,18,factor_simp')] ).
cnf(6282,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_5,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5936,34,5933]),25])])])]),
[iquote('hyper,5936,34,5933,unit_del,25,factor_simp,factor_simp,factor_simp')] ).
cnf(6336,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_2,e_2)
| product(e_5,e_3,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6058,35,4747]),13])])]),
[iquote('hyper,6058,35,4747,unit_del,13,factor_simp,factor_simp')] ).
cnf(6357,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_2,e_2)
| product(e_2,e_5,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6336,33,4833]),27])]),
[iquote('hyper,6336,33,4833,unit_del,27,factor_simp')] ).
cnf(6360,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6336,33,4756]),27])]),
[iquote('hyper,6336,33,4756,unit_del,27,factor_simp')] ).
cnf(6366,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6357,34,5672]),10])])]),
[iquote('hyper,6357,34,5672,unit_del,10,factor_simp,factor_simp')] ).
cnf(6409,plain,
( product(e_5,e_1,e_6)
| product(e_2,e_2,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6366,35,6360]),13])])]),
[iquote('hyper,6366,35,6360,unit_del,13,factor_simp,factor_simp')] ).
cnf(6424,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_6,e_6)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6409,33,5905]),11]),
[iquote('hyper,6409,33,5905,unit_del,11')] ).
cnf(6427,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6409,33,4478]),11]),
[iquote('hyper,6409,33,4478,unit_del,11')] ).
cnf(6428,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_4,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6409,33,4477]),11]),
[iquote('hyper,6409,33,4477,unit_del,11')] ).
cnf(6474,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_2,e_5) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6424,34,1994]),11])])])]),
[iquote('hyper,6424,34,1994,unit_del,11,factor_simp,factor_simp,factor_simp')] ).
cnf(6524,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6474,34,1140]),9])])]),
[iquote('hyper,6474,34,1140,unit_del,9,factor_simp,factor_simp')] ).
cnf(6528,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_4,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6474,34,6428]),23])])])]),
[iquote('hyper,6474,34,6428,unit_del,23,factor_simp,factor_simp,factor_simp')] ).
cnf(6554,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_6,e_1)
| product(e_2,e_6,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6528,34,5280]),30]),
[iquote('hyper,6528,34,5280,unit_del,30')] ).
cnf(6555,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_6,e_1)
| product(e_2,e_5,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6528,33,6282]),6]),
[iquote('hyper,6528,33,6282,unit_del,6')] ).
cnf(6574,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_5,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6524,34,6427]),23])])]),
[iquote('hyper,6524,34,6427,unit_del,23,factor_simp,factor_simp')] ).
cnf(6686,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_5,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6574,34,6555]),28])])])]),
[iquote('hyper,6574,34,6555,unit_del,28,factor_simp,factor_simp,factor_simp')] ).
cnf(6714,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_6,e_5) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6686,34,6554]),31])])]),
[iquote('hyper,6686,34,6554,unit_del,31,factor_simp,factor_simp')] ).
cnf(6715,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2)
| product(e_2,e_2,e_5) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6686,34,6524]),10])])]),
[iquote('hyper,6686,34,6524,unit_del,10,factor_simp,factor_simp')] ).
cnf(6773,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6715,34,6714]),28])])]),
[iquote('hyper,6715,34,6714,unit_del,28,factor_simp,factor_simp')] ).
cnf(6778,plain,
( product(e_2,e_2,e_2)
| product(e_4,e_2,e_3) ),
inference(hyper,[status(thm)],[6773,36,568]),
[iquote('hyper,6773,36,568')] ).
cnf(6819,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6778,35,3916]),13])]),
[iquote('hyper,6778,35,3916,unit_del,13,factor_simp')] ).
cnf(6820,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6778,35,1820]),18])]),
[iquote('hyper,6778,35,1820,unit_del,18,factor_simp')] ).
cnf(6885,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_6)
| product(e_1,e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6820,35,363]),4]),
[iquote('hyper,6820,35,363,unit_del,4')] ).
cnf(6891,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_6)
| product(e_4,e_4,e_4) ),
inference(hyper,[status(thm)],[6820,41]),
[iquote('hyper,6820,41')] ).
cnf(6934,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_4)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6885,35,3968]),14])]),
[iquote('hyper,6885,35,3968,unit_del,14,factor_simp')] ).
cnf(6935,plain,
( product(e_4,e_2,e_4)
| product(e_1,e_1,e_1)
| product(e_4,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6934,36,363])]),
[iquote('hyper,6934,36,363,factor_simp')] ).
cnf(6940,plain,
( product(e_4,e_2,e_4)
| product(e_1,e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6935,35,568]),9]),
[iquote('hyper,6935,35,568,unit_del,9')] ).
cnf(6941,plain,
( product(e_1,e_1,e_1)
| product(e_4,e_4,e_4) ),
inference(hyper,[status(thm)],[6940,41]),
[iquote('hyper,6940,41')] ).
cnf(6942,plain,
product(e_1,e_1,e_1),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6941,34,6940]),9])]),
[iquote('hyper,6941,34,6940,unit_del,9,factor_simp')] ).
cnf(7012,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6891,34,6820]),9])])])]),
[iquote('hyper,6891,34,6820,unit_del,9,factor_simp,factor_simp,factor_simp')] ).
cnf(7031,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_6)
| product(e_3,e_2,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7012,35,6819]),14])]),
[iquote('hyper,7012,35,6819,unit_del,14,factor_simp')] ).
cnf(7127,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_6)
| product(e_5,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7031,34,4335]),23])]),
[iquote('hyper,7031,34,4335,unit_del,23,factor_simp')] ).
cnf(7586,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3305,35,6942]),6]),
[iquote('hyper,3305,35,6942,unit_del,6')] ).
cnf(7595,plain,
( product(e_6,e_1,e_2)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7586,35,1100]),16]),
[iquote('hyper,7586,35,1100,unit_del,16')] ).
cnf(7619,plain,
( product(e_6,e_1,e_5)
| product(e_6,e_1,e_6)
| product(e_6,e_2,e_3) ),
inference(hyper,[status(thm)],[7595,36,568]),
[iquote('hyper,7595,36,568')] ).
cnf(7635,plain,
( product(e_6,e_1,e_5)
| product(e_6,e_1,e_6)
| product(e_5,e_1,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7595,35,4269]),26]),
[iquote('hyper,7595,35,4269,unit_del,26')] ).
cnf(7836,plain,
( product(e_6,e_1,e_6)
| product(e_5,e_1,e_6) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7635,35,4307]),21])]),
[iquote('hyper,7635,35,4307,unit_del,21,factor_simp')] ).
cnf(7840,plain,
( product(e_5,e_1,e_6)
| product(e_6,e_6,e_6) ),
inference(hyper,[status(thm)],[7836,41]),
[iquote('hyper,7836,41')] ).
cnf(7907,plain,
product(e_5,e_1,e_6),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7840,34,7836]),6])]),
[iquote('hyper,7840,34,7836,unit_del,6,factor_simp')] ).
cnf(7932,plain,
( product(e_6,e_1,e_5)
| product(e_6,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7907,35,7619]),31]),
[iquote('hyper,7907,35,7619,unit_del,31')] ).
cnf(7950,plain,
( product(e_4,e_2,e_3)
| product(e_3,e_2,e_6) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[7907,33,7127]),11]),
[iquote('hyper,7907,33,7127,unit_del,11')] ).
cnf(7964,plain,
( product(e_6,e_2,e_3)
| product(e_5,e_6,e_5) ),
inference(hyper,[status(thm)],[7932,36,7907]),
[iquote('hyper,7932,36,7907')] ).
cnf(8110,plain,
( product(e_6,e_2,e_3)
| product(e_5,e_5,e_5) ),
inference(hyper,[status(thm)],[7964,41]),
[iquote('hyper,7964,41')] ).
cnf(8400,plain,
product(e_6,e_2,e_3),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[8110,34,7964]),31])]),
[iquote('hyper,8110,34,7964,unit_del,31,factor_simp')] ).
cnf(8424,plain,
product(e_3,e_2,e_6),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[8400,35,7950]),21]),
[iquote('hyper,8400,35,7950,unit_del,21')] ).
cnf(8444,plain,
product(e_6,e_3,e_6),
inference(hyper,[status(thm)],[8424,36,8400]),
[iquote('hyper,8424,36,8400')] ).
cnf(8453,plain,
product(e_6,e_6,e_6),
inference(hyper,[status(thm)],[8444,41]),
[iquote('hyper,8444,41')] ).
cnf(8458,plain,
e_qualish(e_3,e_6),
inference(hyper,[status(thm)],[8453,34,8444]),
[iquote('hyper,8453,34,8444')] ).
cnf(8459,plain,
$false,
inference(binary,[status(thm)],[8458,16]),
[iquote('binary,8458.1,16.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP128-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n012.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 05:21:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.64/1.83 ----- Otter 3.3f, August 2004 -----
% 1.64/1.83 The process was started by sandbox2 on n012.cluster.edu,
% 1.64/1.83 Wed Jul 27 05:21:05 2022
% 1.64/1.83 The command was "./otter". The process ID is 20779.
% 1.64/1.83
% 1.64/1.83 set(prolog_style_variables).
% 1.64/1.83 set(auto).
% 1.64/1.83 dependent: set(auto1).
% 1.64/1.83 dependent: set(process_input).
% 1.64/1.83 dependent: clear(print_kept).
% 1.64/1.83 dependent: clear(print_new_demod).
% 1.64/1.83 dependent: clear(print_back_demod).
% 1.64/1.83 dependent: clear(print_back_sub).
% 1.64/1.83 dependent: set(control_memory).
% 1.64/1.83 dependent: assign(max_mem, 12000).
% 1.64/1.83 dependent: assign(pick_given_ratio, 4).
% 1.64/1.83 dependent: assign(stats_level, 1).
% 1.64/1.83 dependent: assign(max_seconds, 10800).
% 1.64/1.83 clear(print_given).
% 1.64/1.83
% 1.64/1.83 list(usable).
% 1.64/1.83 0 [] next(e_1,e_2).
% 1.64/1.83 0 [] next(e_2,e_3).
% 1.64/1.83 0 [] next(e_3,e_4).
% 1.64/1.83 0 [] next(e_4,e_5).
% 1.64/1.83 0 [] next(e_5,e_6).
% 1.64/1.83 0 [] greater(e_2,e_1).
% 1.64/1.83 0 [] greater(e_3,e_1).
% 1.64/1.83 0 [] greater(e_4,e_1).
% 1.64/1.83 0 [] greater(e_5,e_1).
% 1.64/1.83 0 [] greater(e_6,e_1).
% 1.64/1.83 0 [] greater(e_3,e_2).
% 1.64/1.83 0 [] greater(e_4,e_2).
% 1.64/1.83 0 [] greater(e_5,e_2).
% 1.64/1.83 0 [] greater(e_6,e_2).
% 1.64/1.83 0 [] greater(e_4,e_3).
% 1.64/1.83 0 [] greater(e_5,e_3).
% 1.64/1.83 0 [] greater(e_6,e_3).
% 1.64/1.83 0 [] greater(e_5,e_4).
% 1.64/1.83 0 [] greater(e_6,e_4).
% 1.64/1.83 0 [] greater(e_6,e_5).
% 1.64/1.83 0 [] -product(X,e_1,Y)| -next(X,X1)| -greater(Y,X1).
% 1.64/1.83 0 [] group_element(e_1).
% 1.64/1.83 0 [] group_element(e_2).
% 1.64/1.83 0 [] group_element(e_3).
% 1.64/1.83 0 [] group_element(e_4).
% 1.64/1.83 0 [] group_element(e_5).
% 1.64/1.83 0 [] group_element(e_6).
% 1.64/1.83 0 [] -e_qualish(e_1,e_2).
% 1.64/1.83 0 [] -e_qualish(e_1,e_3).
% 1.64/1.83 0 [] -e_qualish(e_1,e_4).
% 1.64/1.83 0 [] -e_qualish(e_1,e_5).
% 1.64/1.83 0 [] -e_qualish(e_1,e_6).
% 1.64/1.83 0 [] -e_qualish(e_2,e_1).
% 1.64/1.83 0 [] -e_qualish(e_2,e_3).
% 1.64/1.83 0 [] -e_qualish(e_2,e_4).
% 1.64/1.83 0 [] -e_qualish(e_2,e_5).
% 1.64/1.83 0 [] -e_qualish(e_2,e_6).
% 1.64/1.83 0 [] -e_qualish(e_3,e_1).
% 1.64/1.83 0 [] -e_qualish(e_3,e_2).
% 1.64/1.83 0 [] -e_qualish(e_3,e_4).
% 1.64/1.83 0 [] -e_qualish(e_3,e_5).
% 1.64/1.83 0 [] -e_qualish(e_3,e_6).
% 1.64/1.83 0 [] -e_qualish(e_4,e_1).
% 1.64/1.83 0 [] -e_qualish(e_4,e_2).
% 1.64/1.83 0 [] -e_qualish(e_4,e_3).
% 1.64/1.83 0 [] -e_qualish(e_4,e_5).
% 1.64/1.83 0 [] -e_qualish(e_4,e_6).
% 1.64/1.83 0 [] -e_qualish(e_5,e_1).
% 1.64/1.83 0 [] -e_qualish(e_5,e_2).
% 1.64/1.83 0 [] -e_qualish(e_5,e_3).
% 1.64/1.83 0 [] -e_qualish(e_5,e_4).
% 1.64/1.83 0 [] -e_qualish(e_5,e_6).
% 1.64/1.83 0 [] -e_qualish(e_6,e_1).
% 1.64/1.83 0 [] -e_qualish(e_6,e_2).
% 1.64/1.83 0 [] -e_qualish(e_6,e_3).
% 1.64/1.83 0 [] -e_qualish(e_6,e_4).
% 1.64/1.83 0 [] -e_qualish(e_6,e_5).
% 1.64/1.83 0 [] -group_element(X)| -group_element(Y)|product(X,Y,e_1)|product(X,Y,e_2)|product(X,Y,e_3)|product(X,Y,e_4)|product(X,Y,e_5)|product(X,Y,e_6).
% 1.64/1.83 0 [] -product(X,Y,W)| -product(X,Y,Z)|e_qualish(W,Z).
% 1.64/1.83 0 [] -product(X,W,Y)| -product(X,Z,Y)|e_qualish(W,Z).
% 1.64/1.83 0 [] -product(W,Y,X)| -product(Z,Y,X)|e_qualish(W,Z).
% 1.64/1.83 0 [] -product(X,Y,Z1)| -product(Z1,Y,Z2)|product(X,Z1,Z2).
% 1.64/1.83 end_of_list.
% 1.64/1.83
% 1.64/1.83 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=8.
% 1.64/1.83
% 1.64/1.83 This is a non-Horn set without equality. The strategy will
% 1.64/1.83 be ordered hyper_res, unit deletion, and factoring, with
% 1.64/1.83 satellites in sos and with nuclei in usable.
% 1.64/1.83
% 1.64/1.83 dependent: set(hyper_res).
% 1.64/1.83 dependent: set(factor).
% 1.64/1.83 dependent: set(unit_deletion).
% 1.64/1.83
% 1.64/1.83 ------------> process usable:
% 1.64/1.83 ** KEPT (pick-wt=10): 1 [] -product(A,e_1,B)| -next(A,C)| -greater(B,C).
% 1.64/1.83 ** KEPT (pick-wt=3): 2 [] -e_qualish(e_1,e_2).
% 1.64/1.83 ** KEPT (pick-wt=3): 3 [] -e_qualish(e_1,e_3).
% 1.64/1.83 ** KEPT (pick-wt=3): 4 [] -e_qualish(e_1,e_4).
% 1.64/1.83 ** KEPT (pick-wt=3): 5 [] -e_qualish(e_1,e_5).
% 1.64/1.83 ** KEPT (pick-wt=3): 6 [] -e_qualish(e_1,e_6).
% 1.64/1.83 ** KEPT (pick-wt=3): 7 [] -e_qualish(e_2,e_1).
% 1.64/1.83 ** KEPT (pick-wt=3): 8 [] -e_qualish(e_2,e_3).
% 1.64/1.83 ** KEPT (pick-wt=3): 9 [] -e_qualish(e_2,e_4).
% 1.64/1.83 ** KEPT (pick-wt=3): 10 [] -e_qualish(e_2,e_5).
% 1.64/1.83 ** KEPT (pick-wt=3): 11 [] -e_qualish(e_2,e_6).
% 1.64/1.83 ** KEPT (pick-wt=3): 12 [] -e_qualish(e_3,e_1).
% 1.64/1.83 ** KEPT (pick-wt=3): 13 [] -e_qualish(e_3,e_2).
% 1.64/1.83 ** KEPT (pick-wt=3): 14 [] -e_qualish(e_3,e_4).
% 1.64/1.83 ** KEPT (pick-wt=3): 15 [] -e_qualish(e_3,e_5).
% 1.64/1.83 ** KEPT (pick-wt=3): 16 [] -e_qualish(e_3,e_6).
% 1.64/1.83 ** KEPT (pick-wt=3): 17 [] -e_qualish(e_4,e_1).
% 1.64/1.83 ** KEPT (pick-wt=3): 18 [] -e_qualish(e_4,e_2).
% 1.64/1.83 ** KEPT (pick-wt=3): 19 [] -e_qualish(e_4,e_3).
% 1.64/1.83 ** KEPT (pick-wt=3): 20 [] -e_qualish(e_4,e_5).
% 1.64/1.83 ** KEPT (pick-wt=3): 21 [] -e_qualish(e_4,e_6).
% 1.64/1.83 ** KEPT (pick-wt=3): 22 [] -e_qualish(e_5,e_1).
% 1.64/1.83 ** KEPT (pick-wt=3): 23 [] -e_qualish(e_5,e_2).
% 1.64/1.83 ** KEPT (pick-wt=3): 24 [] -e_qualish(e_5,e_3).
% 1.64/1.83 ** KEPT (pick-wt=3): 25 [] -e_qualish(e_5,e_4).
% 1.64/1.83 ** KEPT (pick-wt=3): 26 [] -e_qualish(e_5,e_6).
% 1.64/1.83 ** KEPT (pick-wt=3): 27 [] -e_qualish(e_6,e_1).
% 78.02/78.24 ** KEPT (pick-wt=3): 28 [] -e_qualish(e_6,e_2).
% 78.02/78.24 ** KEPT (pick-wt=3): 29 [] -e_qualish(e_6,e_3).
% 78.02/78.24 ** KEPT (pick-wt=3): 30 [] -e_qualish(e_6,e_4).
% 78.02/78.24 ** KEPT (pick-wt=3): 31 [] -e_qualish(e_6,e_5).
% 78.02/78.24 ** KEPT (pick-wt=28): 32 [] -group_element(A)| -group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)|product(A,B,e_4)|product(A,B,e_5)|product(A,B,e_6).
% 78.02/78.24 ** KEPT (pick-wt=11): 33 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 78.02/78.24 ** KEPT (pick-wt=11): 34 [] -product(A,B,C)| -product(A,D,C)|e_qualish(B,D).
% 78.02/78.24 ** KEPT (pick-wt=11): 35 [] -product(A,B,C)| -product(D,B,C)|e_qualish(A,D).
% 78.02/78.24 ** KEPT (pick-wt=12): 36 [] -product(A,B,C)| -product(C,B,D)|product(A,C,D).
% 78.02/78.24
% 78.02/78.24 ------------> process sos:
% 78.02/78.24 ** KEPT (pick-wt=3): 42 [] next(e_1,e_2).
% 78.02/78.24 ** KEPT (pick-wt=3): 43 [] next(e_2,e_3).
% 78.02/78.24 ** KEPT (pick-wt=3): 44 [] next(e_3,e_4).
% 78.02/78.24 ** KEPT (pick-wt=3): 45 [] next(e_4,e_5).
% 78.02/78.24 ** KEPT (pick-wt=3): 46 [] next(e_5,e_6).
% 78.02/78.24 ** KEPT (pick-wt=3): 47 [] greater(e_2,e_1).
% 78.02/78.24 ** KEPT (pick-wt=3): 48 [] greater(e_3,e_1).
% 78.02/78.24 ** KEPT (pick-wt=3): 49 [] greater(e_4,e_1).
% 78.02/78.24 ** KEPT (pick-wt=3): 50 [] greater(e_5,e_1).
% 78.02/78.24 ** KEPT (pick-wt=3): 51 [] greater(e_6,e_1).
% 78.02/78.24 ** KEPT (pick-wt=3): 52 [] greater(e_3,e_2).
% 78.02/78.24 ** KEPT (pick-wt=3): 53 [] greater(e_4,e_2).
% 78.02/78.24 ** KEPT (pick-wt=3): 54 [] greater(e_5,e_2).
% 78.02/78.24 ** KEPT (pick-wt=3): 55 [] greater(e_6,e_2).
% 78.02/78.24 ** KEPT (pick-wt=3): 56 [] greater(e_4,e_3).
% 78.02/78.24 ** KEPT (pick-wt=3): 57 [] greater(e_5,e_3).
% 78.02/78.24 ** KEPT (pick-wt=3): 58 [] greater(e_6,e_3).
% 78.02/78.24 ** KEPT (pick-wt=3): 59 [] greater(e_5,e_4).
% 78.02/78.24 ** KEPT (pick-wt=3): 60 [] greater(e_6,e_4).
% 78.02/78.24 ** KEPT (pick-wt=3): 61 [] greater(e_6,e_5).
% 78.02/78.24 ** KEPT (pick-wt=2): 62 [] group_element(e_1).
% 78.02/78.24 ** KEPT (pick-wt=2): 63 [] group_element(e_2).
% 78.02/78.24 ** KEPT (pick-wt=2): 64 [] group_element(e_3).
% 78.02/78.24 ** KEPT (pick-wt=2): 65 [] group_element(e_4).
% 78.02/78.24 ** KEPT (pick-wt=2): 66 [] group_element(e_5).
% 78.02/78.24 ** KEPT (pick-wt=2): 67 [] group_element(e_6).
% 78.02/78.24
% 78.02/78.24 ======= end of input processing =======
% 78.02/78.24
% 78.02/78.24 =========== start of search ===========
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 23.
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 23.
% 78.02/78.24
% 78.02/78.24 sos_size=2034
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 20.
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 20.
% 78.02/78.24
% 78.02/78.24 sos_size=2000
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 16.
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 16.
% 78.02/78.24
% 78.02/78.24 sos_size=1854
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 12.
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Resetting weight limit to 12.
% 78.02/78.24
% 78.02/78.24 sos_size=1429
% 78.02/78.24
% 78.02/78.24 -- HEY sandbox2, WE HAVE A PROOF!! --
% 78.02/78.24
% 78.02/78.24 ----> UNIT CONFLICT at 76.41 sec ----> 8459 [binary,8458.1,16.1] $F.
% 78.02/78.24
% 78.02/78.24 Length of proof is 173. Level of proof is 70.
% 78.02/78.24
% 78.02/78.24 ---------------- PROOF ----------------
% 78.02/78.24 % SZS status Unsatisfiable
% 78.02/78.24 % SZS output start Refutation
% See solution above
% 78.02/78.24 ------------ end of proof -------------
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Search stopped by max_proofs option.
% 78.02/78.24
% 78.02/78.24
% 78.02/78.24 Search stopped by max_proofs option.
% 78.02/78.24
% 78.02/78.24 ============ end of search ============
% 78.02/78.24
% 78.02/78.24 -------------- statistics -------------
% 78.02/78.24 clauses given 1579
% 78.02/78.24 clauses generated 3541827
% 78.02/78.24 clauses kept 8458
% 78.02/78.24 clauses forward subsumed 326974
% 78.02/78.24 clauses back subsumed 7750
% 78.02/78.24 Kbytes malloced 6835
% 78.02/78.24
% 78.02/78.24 ----------- times (seconds) -----------
% 78.02/78.24 user CPU time 76.41 (0 hr, 1 min, 16 sec)
% 78.02/78.24 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 78.02/78.24 wall-clock time 78 (0 hr, 1 min, 18 sec)
% 78.02/78.24
% 78.02/78.24 That finishes the proof of the theorem.
% 78.02/78.24
% 78.02/78.24 Process 20779 finished Wed Jul 27 05:22:23 2022
% 78.02/78.24 Otter interrupted
% 78.02/78.24 PROOF FOUND
%------------------------------------------------------------------------------