TSTP Solution File: GRP128-3.005 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP128-3.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n005.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 12:56:23 EDT 2022
% Result : Unsatisfiable 77.30s 77.54s
% Output : Refutation 77.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 53
% Syntax : Number of clauses : 222 ( 53 unt; 158 nHn; 222 RR)
% Number of literals : 665 ( 0 equ; 60 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 44 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ group_element(A)
| cycle(A,e_0)
| cycle(A,e_1)
| cycle(A,e_2)
| cycle(A,e_3)
| cycle(A,e_4) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(3,axiom,
( ~ cycle(A,B)
| ~ cycle(C,D)
| ~ next(A,C)
| ~ greater(B,e_0)
| ~ next(D,E)
| e_qualish(B,E) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(4,axiom,
( ~ cycle(A,B)
| ~ cycle(C,e_0)
| ~ cycle(D,E)
| ~ next(C,D)
| ~ greater(C,A)
| ~ greater(B,E) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(5,axiom,
( ~ cycle(A,e_0)
| ~ product(A,e_1,B)
| ~ greater(B,A) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(6,axiom,
( ~ cycle(A,B)
| ~ product(A,e_1,C)
| ~ greater(B,e_0)
| ~ next(A,D)
| e_qualish(C,D) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(7,axiom,
~ e_qualish(e_1,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(8,axiom,
~ e_qualish(e_1,e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(9,axiom,
~ e_qualish(e_1,e_4),
file('GRP128-3.005.p',unknown),
[] ).
cnf(10,axiom,
~ e_qualish(e_1,e_5),
file('GRP128-3.005.p',unknown),
[] ).
cnf(11,axiom,
~ e_qualish(e_2,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(12,axiom,
~ e_qualish(e_2,e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(13,axiom,
~ e_qualish(e_2,e_4),
file('GRP128-3.005.p',unknown),
[] ).
cnf(14,axiom,
~ e_qualish(e_2,e_5),
file('GRP128-3.005.p',unknown),
[] ).
cnf(15,axiom,
~ e_qualish(e_3,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(16,axiom,
~ e_qualish(e_3,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(17,axiom,
~ e_qualish(e_3,e_4),
file('GRP128-3.005.p',unknown),
[] ).
cnf(18,axiom,
~ e_qualish(e_3,e_5),
file('GRP128-3.005.p',unknown),
[] ).
cnf(19,axiom,
~ e_qualish(e_4,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(20,axiom,
~ e_qualish(e_4,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(21,axiom,
~ e_qualish(e_4,e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(22,axiom,
~ e_qualish(e_4,e_5),
file('GRP128-3.005.p',unknown),
[] ).
cnf(23,axiom,
~ e_qualish(e_5,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(24,axiom,
~ e_qualish(e_5,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(25,axiom,
~ e_qualish(e_5,e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(26,axiom,
~ e_qualish(e_5,e_4),
file('GRP128-3.005.p',unknown),
[] ).
cnf(27,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) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(28,axiom,
( ~ product(A,B,C)
| ~ product(A,B,D)
| e_qualish(C,D) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(29,axiom,
( ~ product(A,B,C)
| ~ product(A,D,C)
| e_qualish(B,D) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(30,axiom,
( ~ product(A,B,C)
| ~ product(D,B,C)
| e_qualish(A,D) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(31,axiom,
( ~ product(A,B,C)
| ~ product(C,B,D)
| product(A,C,D) ),
file('GRP128-3.005.p',unknown),
[] ).
cnf(34,plain,
( ~ cycle(A,B)
| ~ cycle(C,A)
| ~ next(A,C)
| ~ greater(B,e_0)
| e_qualish(B,C) ),
inference(factor,[status(thm)],[3]),
[iquote('factor,3.3.5')] ).
cnf(38,plain,
( ~ cycle(A,B)
| ~ cycle(B,e_0)
| ~ cycle(C,A)
| ~ next(B,C)
| ~ greater(B,A) ),
inference(factor,[status(thm)],[4]),
[iquote('factor,4.5.6')] ).
cnf(39,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) ),
inference(factor,[status(thm)],[27]),
[iquote('factor,27.1.2')] ).
cnf(43,plain,
( ~ product(A,B,A)
| product(A,A,A) ),
inference(factor,[status(thm)],[31]),
[iquote('factor,31.1.2')] ).
cnf(49,axiom,
next(e_0,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(50,axiom,
next(e_1,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(51,axiom,
next(e_2,e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(52,axiom,
next(e_3,e_4),
file('GRP128-3.005.p',unknown),
[] ).
cnf(53,axiom,
next(e_4,e_5),
file('GRP128-3.005.p',unknown),
[] ).
cnf(54,axiom,
greater(e_1,e_0),
file('GRP128-3.005.p',unknown),
[] ).
cnf(55,axiom,
greater(e_2,e_0),
file('GRP128-3.005.p',unknown),
[] ).
cnf(56,axiom,
greater(e_3,e_0),
file('GRP128-3.005.p',unknown),
[] ).
cnf(57,axiom,
greater(e_4,e_0),
file('GRP128-3.005.p',unknown),
[] ).
cnf(59,axiom,
greater(e_2,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(60,axiom,
greater(e_3,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(61,axiom,
greater(e_4,e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(63,axiom,
greater(e_3,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(64,axiom,
greater(e_4,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(65,axiom,
greater(e_5,e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(66,axiom,
greater(e_4,e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(67,axiom,
greater(e_5,e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(69,axiom,
cycle(e_5,e_0),
file('GRP128-3.005.p',unknown),
[] ).
cnf(70,axiom,
group_element(e_1),
file('GRP128-3.005.p',unknown),
[] ).
cnf(71,axiom,
group_element(e_2),
file('GRP128-3.005.p',unknown),
[] ).
cnf(72,axiom,
group_element(e_3),
file('GRP128-3.005.p',unknown),
[] ).
cnf(73,axiom,
group_element(e_4),
file('GRP128-3.005.p',unknown),
[] ).
cnf(74,axiom,
group_element(e_5),
file('GRP128-3.005.p',unknown),
[] ).
cnf(75,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) ),
inference(hyper,[status(thm)],[70,39]),
[iquote('hyper,70,39')] ).
cnf(76,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(hyper,[status(thm)],[70,2]),
[iquote('hyper,70,2')] ).
cnf(79,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) ),
inference(hyper,[status(thm)],[71,27,70]),
[iquote('hyper,71,27,70')] ).
cnf(80,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(hyper,[status(thm)],[71,2]),
[iquote('hyper,71,2')] ).
cnf(82,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(hyper,[status(thm)],[72,27,71]),
[iquote('hyper,72,27,71')] ).
cnf(85,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) ),
inference(hyper,[status(thm)],[72,27,70]),
[iquote('hyper,72,27,70')] ).
cnf(86,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(hyper,[status(thm)],[72,2]),
[iquote('hyper,72,2')] ).
cnf(88,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(hyper,[status(thm)],[73,27,72]),
[iquote('hyper,73,27,72')] ).
cnf(89,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) ),
inference(hyper,[status(thm)],[73,27,71]),
[iquote('hyper,73,27,71')] ).
cnf(92,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) ),
inference(hyper,[status(thm)],[73,27,71]),
[iquote('hyper,73,27,71')] ).
cnf(93,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) ),
inference(hyper,[status(thm)],[73,27,70]),
[iquote('hyper,73,27,70')] ).
cnf(94,plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(hyper,[status(thm)],[73,2]),
[iquote('hyper,73,2')] ).
cnf(96,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5) ),
inference(hyper,[status(thm)],[74,27,73]),
[iquote('hyper,74,27,73')] ).
cnf(97,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
inference(hyper,[status(thm)],[74,27,72]),
[iquote('hyper,74,27,72')] ).
cnf(98,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) ),
inference(hyper,[status(thm)],[74,27,71]),
[iquote('hyper,74,27,71')] ).
cnf(103,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) ),
inference(hyper,[status(thm)],[74,27,70]),
[iquote('hyper,74,27,70')] ).
cnf(209,plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[94,3,69,53,55,49]),11]),
[iquote('hyper,94,3,69,53,55,49,unit_del,11')] ).
cnf(251,plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1)
| cycle(e_4,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[209,3,69,53,56,49]),15]),
[iquote('hyper,209,3,69,53,56,49,unit_del,15')] ).
cnf(287,plain,
( cycle(e_4,e_0)
| cycle(e_4,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[251,3,69,53,57,49]),19]),
[iquote('hyper,251,3,69,53,57,49,unit_del,19')] ).
cnf(293,plain,
( cycle(e_4,e_1)
| cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(hyper,[status(thm)],[287,4,86,69,53,66,57]),
[iquote('hyper,287,4,86,69,53,66,57')] ).
cnf(297,plain,
( cycle(e_4,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(hyper,[status(thm)],[287,4,80,69,53,64,57]),
[iquote('hyper,287,4,80,69,53,64,57')] ).
cnf(301,plain,
( cycle(e_4,e_1)
| cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(hyper,[status(thm)],[287,4,76,69,53,61,57]),
[iquote('hyper,287,4,76,69,53,61,57')] ).
cnf(367,plain,
( product(e_2,e_1,e_1)
| 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_2,e_2) ),
inference(hyper,[status(thm)],[79,43]),
[iquote('hyper,79,43')] ).
cnf(416,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
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)],[293,3,86,52,57,50]),20])])])])]),
[iquote('hyper,293,3,86,52,57,50,unit_del,20,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(418,plain,
( cycle(e_4,e_1)
| cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[293,4,287,69,53,66,54])]),
[iquote('hyper,293,4,287,69,53,66,54,factor_simp')] ).
cnf(447,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_2)
| cycle(e_3,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[418,3,416,52,54,50]),7])])])]),
[iquote('hyper,418,3,416,52,54,50,unit_del,7,factor_simp,factor_simp,factor_simp')] ).
cnf(449,plain,
( cycle(e_4,e_1)
| cycle(e_3,e_0)
| cycle(e_3,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[418,4,287,69,53,66,55])]),
[iquote('hyper,418,4,287,69,53,66,55,factor_simp')] ).
cnf(459,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_2) ),
inference(hyper,[status(thm)],[82,43]),
[iquote('hyper,82,43')] ).
cnf(511,plain,
( cycle(e_4,e_1)
| cycle(e_3,e_0) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[449,4,287,69,53,66,56])]),
[iquote('hyper,449,4,287,69,53,66,56,factor_simp')] ).
cnf(513,plain,
( cycle(e_3,e_0)
| cycle(e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[511,3,447,52,56,50]),16])]),
[iquote('hyper,511,3,447,52,56,50,unit_del,16,factor_simp')] ).
cnf(574,plain,
( cycle(e_3,e_2)
| cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[513,3,80,51,57,49]),19]),
[iquote('hyper,513,3,80,51,57,49,unit_del,19')] ).
cnf(591,plain,
( cycle(e_4,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[297,4,511,287,52,63,54])])]),
[iquote('hyper,297,4,511,287,52,63,54,factor_simp,factor_simp')] ).
cnf(619,plain,
( cycle(e_4,e_1)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[591,4,511,287,52,63,55])])]),
[iquote('hyper,591,4,511,287,52,63,55,factor_simp,factor_simp')] ).
cnf(688,plain,
( cycle(e_4,e_1)
| cycle(e_2,e_0) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[619,4,511,287,52,63,56])])]),
[iquote('hyper,619,4,511,287,52,63,56,factor_simp,factor_simp')] ).
cnf(697,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[301,4,76,513,52,60,61])])])])]),
[iquote('hyper,301,4,76,513,52,60,61,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(708,plain,
( cycle(e_4,e_1)
| cycle(e_1,e_0)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[301,4,688,511,51,59,54])])]),
[iquote('hyper,301,4,688,511,51,59,54,factor_simp,factor_simp')] ).
cnf(781,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)
| cycle(e_3,e_0) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[85,6,513,55,52]),26]),
[iquote('hyper,85,6,513,55,52,unit_del,26')] ).
cnf(795,plain,
( cycle(e_4,e_1)
| cycle(e_1,e_0)
| cycle(e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[708,4,688,511,51,59,55])])]),
[iquote('hyper,708,4,688,511,51,59,55,factor_simp,factor_simp')] ).
cnf(815,plain,
( cycle(e_4,e_1)
| cycle(e_1,e_0) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[795,4,688,511,51,59,56])])]),
[iquote('hyper,795,4,688,511,51,59,56,factor_simp,factor_simp')] ).
cnf(831,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3) ),
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)],[574,34,80,51,57]),21])])])])]),
[iquote('hyper,574,34,80,51,57,unit_del,21,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(847,plain,
( cycle(e_3,e_2)
| cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[574,4,513,688,52,63,59])])]),
[iquote('hyper,574,4,513,688,52,63,59,factor_simp,factor_simp')] ).
cnf(889,plain,
( cycle(e_2,e_0)
| cycle(e_2,e_1)
| cycle(e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[847,34,831,51,55]),12])])])]),
[iquote('hyper,847,34,831,51,55,unit_del,12,factor_simp,factor_simp,factor_simp')] ).
cnf(905,plain,
( cycle(e_3,e_2)
| cycle(e_2,e_0)
| cycle(e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[847,4,513,688,52,63,60])])]),
[iquote('hyper,847,4,513,688,52,63,60,factor_simp,factor_simp')] ).
cnf(947,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_3) ),
inference(hyper,[status(thm)],[88,43]),
[iquote('hyper,88,43')] ).
cnf(1015,plain,
( product(e_2,e_4,e_1)
| 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_2,e_2) ),
inference(hyper,[status(thm)],[89,43]),
[iquote('hyper,89,43')] ).
cnf(1081,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_3)
| cycle(e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[697,4,513,815,52,60,59])])]),
[iquote('hyper,697,4,513,815,52,60,59,factor_simp,factor_simp')] ).
cnf(1100,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1081,38,513,815,52,60])])]),
[iquote('hyper,1081,38,513,815,52,60,factor_simp,factor_simp')] ).
cnf(1111,plain,
( cycle(e_1,e_0)
| cycle(e_3,e_2)
| cycle(e_2,e_0) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1100,34,905,50,54]),7])]),
[iquote('hyper,1100,34,905,50,54,unit_del,7,factor_simp')] ).
cnf(1200,plain,
( cycle(e_1,e_0)
| cycle(e_2,e_0)
| cycle(e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1111,34,889,51,54]),8])]),
[iquote('hyper,1111,34,889,51,54,unit_del,8,factor_simp')] ).
cnf(1209,plain,
( cycle(e_1,e_0)
| cycle(e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1111,4,1100,513,51,59,54])])])]),
[iquote('hyper,1111,4,1100,513,51,59,54,factor_simp,factor_simp,factor_simp')] ).
cnf(1226,plain,
( cycle(e_1,e_0)
| cycle(e_2,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1200,4,76,1209,51,59,64])])]),
[iquote('hyper,1200,4,76,1209,51,59,64,factor_simp,factor_simp')] ).
cnf(1317,plain,
( cycle(e_1,e_0)
| cycle(e_2,e_3)
| cycle(e_1,e_1)
| cycle(e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1226,3,1200,50,55,49]),11])])]),
[iquote('hyper,1226,3,1200,50,55,49,unit_del,11,factor_simp,factor_simp')] ).
cnf(1333,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1317,3,76,50,55,52]),13])])])]),
[iquote('hyper,1317,3,76,50,55,52,unit_del,13,factor_simp,factor_simp,factor_simp')] ).
cnf(1343,plain,
( cycle(e_1,e_0)
| cycle(e_2,e_3)
| cycle(e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1317,4,1200,1209,51,59,63])])])]),
[iquote('hyper,1317,4,1200,1209,51,59,63,factor_simp,factor_simp,factor_simp')] ).
cnf(1403,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_5)
| product(e_4,e_4,e_4) ),
inference(hyper,[status(thm)],[92,43]),
[iquote('hyper,92,43')] ).
cnf(1438,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_1)
| cycle(e_1,e_4) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1333,3,1343,50,56,52]),17])])]),
[iquote('hyper,1333,3,1343,50,56,52,unit_del,17,factor_simp,factor_simp')] ).
cnf(1452,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_4)
| cycle(e_2,e_0) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1438,3,1200,50,54,52]),9])]),
[iquote('hyper,1438,3,1200,50,54,52,unit_del,9,factor_simp')] ).
cnf(1531,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_5)
| product(e_4,e_4,e_4) ),
inference(hyper,[status(thm)],[93,43]),
[iquote('hyper,93,43')] ).
cnf(1596,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_5)
| product(e_4,e_4,e_4) ),
inference(hyper,[status(thm)],[96,43]),
[iquote('hyper,96,43')] ).
cnf(1639,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_3,e_3,e_3) ),
inference(hyper,[status(thm)],[97,43]),
[iquote('hyper,97,43')] ).
cnf(1693,plain,
( product(e_2,e_5,e_1)
| 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_2,e_2) ),
inference(hyper,[status(thm)],[98,43]),
[iquote('hyper,98,43')] ).
cnf(2710,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5) ),
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)],[367,29,79]),7])])])])]),
[iquote('hyper,367,29,79,unit_del,7,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(2780,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_5)
| cycle(e_3,e_2)
| cycle(e_2,e_0) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2710,6,905,54,51]),21]),
[iquote('hyper,2710,6,905,54,51,unit_del,21')] ).
cnf(2781,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_5)
| cycle(e_2,e_0)
| cycle(e_2,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2710,6,889,56,51]),21]),
[iquote('hyper,2710,6,889,56,51,unit_del,21')] ).
cnf(2875,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_5)
| cycle(e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2780,5,2710,64])])])]),
[iquote('hyper,2780,5,2710,64,factor_simp,factor_simp,factor_simp')] ).
cnf(2881,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_5)
| cycle(e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2781,5,2710,64])])])]),
[iquote('hyper,2781,5,2710,64,factor_simp,factor_simp,factor_simp')] ).
cnf(2883,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,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)],[2881,34,2875,51,54]),8])])])]),
[iquote('hyper,2881,34,2875,51,54,unit_del,8,factor_simp,factor_simp,factor_simp')] ).
cnf(2956,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| cycle(e_3,e_2)
| cycle(e_2,e_0) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2883,6,905,54,51]),25]),
[iquote('hyper,2883,6,905,54,51,unit_del,25')] ).
cnf(2957,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| cycle(e_2,e_0)
| cycle(e_2,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2883,6,889,56,51]),25]),
[iquote('hyper,2883,6,889,56,51,unit_del,25')] ).
cnf(3368,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
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)],[459,29,82]),16])])])])]),
[iquote('hyper,459,29,82,unit_del,16,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(3374,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| cycle(e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2956,5,2883,65])])]),
[iquote('hyper,2956,5,2883,65,factor_simp,factor_simp')] ).
cnf(3380,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| cycle(e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[2957,5,2883,65])])]),
[iquote('hyper,2957,5,2883,65,factor_simp,factor_simp')] ).
cnf(3382,plain,
( product(e_2,e_1,e_1)
| 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)],[3380,34,3374,51,54]),8])])]),
[iquote('hyper,3380,34,3374,51,54,unit_del,8,factor_simp,factor_simp')] ).
cnf(3399,plain,
( product(e_2,e_1,e_3)
| cycle(e_1,e_0)
| cycle(e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3382,6,1343,56,51]),8]),
[iquote('hyper,3382,6,1343,56,51,unit_del,8')] ).
cnf(3430,plain,
( product(e_2,e_1,e_1)
| cycle(e_4,e_1) ),
inference(hyper,[status(thm)],[3382,5,688,63]),
[iquote('hyper,3382,5,688,63')] ).
cnf(3837,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) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[781,5,85,67])])])])]),
[iquote('hyper,781,5,85,67,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(3852,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_3,e_3) ),
inference(hyper,[status(thm)],[3837,43]),
[iquote('hyper,3837,43')] ).
cnf(3905,plain,
( product(e_3,e_1,e_1)
| 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(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[3852,29,3837]),8])])])]),
[iquote('hyper,3852,29,3837,unit_del,8,factor_simp,factor_simp,factor_simp')] ).
cnf(3918,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_1,e_1) ),
inference(hyper,[status(thm)],[3905,31,3382]),
[iquote('hyper,3905,31,3382')] ).
cnf(4007,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_1)
| product(e_2,e_2,e_2) ),
inference(hyper,[status(thm)],[3918,43]),
[iquote('hyper,3918,43')] ).
cnf(4127,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_2,e_1,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)],[4007,29,3918]),16])])])]),
[iquote('hyper,4007,29,3918,unit_del,16,factor_simp,factor_simp,factor_simp')] ).
cnf(4135,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_3,e_4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4127,31,3382])]),
[iquote('hyper,4127,31,3382,factor_simp')] ).
cnf(4139,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4127,31,3905])])]),
[iquote('hyper,4127,31,3905,factor_simp,factor_simp')] ).
cnf(4154,plain,
( product(e_3,e_1,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4135,29,3368]),15])]),
[iquote('hyper,4135,29,3368,unit_del,15,factor_simp')] ).
cnf(4239,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
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)],[947,29,88]),21])])])])]),
[iquote('hyper,947,29,88,unit_del,21,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4265,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
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)],[1015,29,89]),20])])])])]),
[iquote('hyper,1015,29,89,unit_del,20,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4273,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4265,29,3382]),9]),
[iquote('hyper,4265,29,3382,unit_del,9')] ).
cnf(4296,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4273,29,4135]),17])]),
[iquote('hyper,4273,29,4135,unit_del,17,factor_simp')] ).
cnf(4474,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_5) ),
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)],[1403,29,92]),13])])])])]),
[iquote('hyper,1403,29,92,unit_del,13,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4510,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_5) ),
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)],[1531,29,93]),9])])])])]),
[iquote('hyper,1531,29,93,unit_del,9,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4513,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4510,30,3382]),13]),
[iquote('hyper,4510,30,3382,unit_del,13')] ).
cnf(4516,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_5)
| cycle(e_2,e_0) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4510,6,688,54,53]),10]),
[iquote('hyper,4510,6,688,54,53,unit_del,10')] ).
cnf(4559,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_5) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4513,5,4516,63])])])]),
[iquote('hyper,4513,5,4516,63,factor_simp,factor_simp,factor_simp')] ).
cnf(4572,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_2,e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4559,6,3430,54,53]),14]),
[iquote('hyper,4559,6,3430,54,53,unit_del,14')] ).
cnf(4589,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_5)
| cycle(e_3,e_0) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4559,6,511,54,53]),18]),
[iquote('hyper,4559,6,511,54,53,unit_del,18')] ).
cnf(4604,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4572,30,3382]),13])]),
[iquote('hyper,4572,30,3382,unit_del,13,factor_simp')] ).
cnf(4609,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_4,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4572,31,4559])])]),
[iquote('hyper,4572,31,4559,factor_simp,factor_simp')] ).
cnf(4616,plain,
( product(e_2,e_1,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4604,31,4127])]),
[iquote('hyper,4604,31,4127,factor_simp')] ).
cnf(4622,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4604,30,4154]),16]),
[iquote('hyper,4604,30,4154,unit_del,16')] ).
cnf(4623,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_2,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4604,30,4139]),16]),
[iquote('hyper,4604,30,4139,unit_del,16')] ).
cnf(4624,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4604,30,3905]),16]),
[iquote('hyper,4604,30,3905,unit_del,16')] ).
cnf(4625,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4604,29,4265]),19]),
[iquote('hyper,4604,29,4265,unit_del,19')] ).
cnf(4643,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4609,29,4474]),11])]),
[iquote('hyper,4609,29,4474,unit_del,11,factor_simp')] ).
cnf(4681,plain,
( product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| 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)],[4616,30,4296]),12])])]),
[iquote('hyper,4616,30,4296,unit_del,12,factor_simp,factor_simp')] ).
cnf(4697,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_2,e_1)
| product(e_4,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4623,5,4589,66])]),
[iquote('hyper,4623,5,4589,66,factor_simp')] ).
cnf(4700,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_2,e_1)
| cycle(e_4,e_1) ),
inference(hyper,[status(thm)],[4623,5,511,66]),
[iquote('hyper,4623,5,511,66')] ).
cnf(4720,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_2)
| cycle(e_4,e_1) ),
inference(hyper,[status(thm)],[4624,5,511,66]),
[iquote('hyper,4624,5,511,66')] ).
cnf(4762,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_2,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4697,6,4700,54,53]),14])])]),
[iquote('hyper,4697,6,4700,54,53,unit_del,14,factor_simp,factor_simp')] ).
cnf(4773,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4762,30,4609]),21])]),
[iquote('hyper,4762,30,4609,unit_del,21,factor_simp')] ).
cnf(4775,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4762,29,4239]),20]),
[iquote('hyper,4762,29,4239,unit_del,20')] ).
cnf(4789,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4773,6,4720,54,53]),18])]),
[iquote('hyper,4773,6,4720,54,53,unit_del,18,factor_simp')] ).
cnf(4803,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4789,31,4773])]),
[iquote('hyper,4789,31,4773,factor_simp')] ).
cnf(4905,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_4) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4622,31,4803])]),
[iquote('hyper,4622,31,4803,factor_simp')] ).
cnf(4915,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4643,30,4762]),17])]),
[iquote('hyper,4643,30,4762,unit_del,17,factor_simp')] ).
cnf(4923,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_2,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4915,29,4803]),16])]),
[iquote('hyper,4915,29,4803,unit_del,16,factor_simp')] ).
cnf(4955,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4775,29,4789]),9])]),
[iquote('hyper,4775,29,4789,unit_del,9,factor_simp')] ).
cnf(5071,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[4905,28,4923]),26])]),
[iquote('hyper,4905,28,4923,unit_del,26,factor_simp')] ).
cnf(5076,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5071,31,4803])]),
[iquote('hyper,5071,31,4803,factor_simp')] ).
cnf(5089,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_3,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5076,29,4773]),7])]),
[iquote('hyper,5076,29,4773,unit_del,7,factor_simp')] ).
cnf(5096,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5089,29,4625]),21])]),
[iquote('hyper,5089,29,4625,unit_del,21,factor_simp')] ).
cnf(5111,plain,
( product(e_4,e_1,e_5)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5096,30,4955]),16])]),
[iquote('hyper,5096,30,4955,unit_del,16,factor_simp')] ).
cnf(5128,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5111,31,4955])])]),
[iquote('hyper,5111,31,4955,factor_simp,factor_simp')] ).
cnf(5136,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_4,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5128,28,5089]),26])]),
[iquote('hyper,5128,28,5089,unit_del,26,factor_simp')] ).
cnf(5210,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_5) ),
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)],[1596,29,96]),26])])])])]),
[iquote('hyper,1596,29,96,unit_del,26,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(5340,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5) ),
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)],[1639,29,97]),25])])])])]),
[iquote('hyper,1639,29,97,unit_del,25,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(5427,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_5)
| product(e_4,e_1,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5210,29,4803]),18]),
[iquote('hyper,5210,29,4803,unit_del,18')] ).
cnf(5479,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5) ),
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)],[1693,29,98]),24])])])])]),
[iquote('hyper,1693,29,98,unit_del,24,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(5501,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_4,e_1,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5340,29,4762]),14]),
[iquote('hyper,5340,29,4762,unit_del,14')] ).
cnf(5559,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_5)
| product(e_4,e_1,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5427,29,4773]),10])]),
[iquote('hyper,5427,29,4773,unit_del,10,factor_simp')] ).
cnf(5563,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_1,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5559,29,4923]),14])]),
[iquote('hyper,5559,29,4923,unit_del,14,factor_simp')] ).
cnf(5601,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5479,29,3382]),10]),
[iquote('hyper,5479,29,3382,unit_del,10')] ).
cnf(5608,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_4,e_1,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5501,29,4789]),10])]),
[iquote('hyper,5501,29,4789,unit_del,10,factor_simp')] ).
cnf(5614,plain,
( product(e_3,e_5,e_4)
| product(e_4,e_1,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5608,29,5136]),22])]),
[iquote('hyper,5608,29,5136,unit_del,22,factor_simp')] ).
cnf(5620,plain,
( product(e_4,e_1,e_5)
| product(e_3,e_4,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5614,31,5563])]),
[iquote('hyper,5614,31,5563,factor_simp')] ).
cnf(5643,plain,
product(e_4,e_1,e_5),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5620,29,4762]),13])]),
[iquote('hyper,5620,29,4762,unit_del,13,factor_simp')] ).
cnf(5647,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) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5643,30,103]),26]),
[iquote('hyper,5643,30,103,unit_del,26')] ).
cnf(5648,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) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5643,30,75]),9]),
[iquote('hyper,5643,30,75,unit_del,9')] ).
cnf(5711,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5601,29,4681]),22])]),
[iquote('hyper,5601,29,4681,unit_del,22,factor_simp')] ).
cnf(5727,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_4,e_5) ),
inference(hyper,[status(thm)],[5647,31,5643]),
[iquote('hyper,5647,31,5643')] ).
cnf(5728,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5648,30,3382]),11]),
[iquote('hyper,5648,30,3382,unit_del,11')] ).
cnf(5874,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5711,29,4135]),18])])]),
[iquote('hyper,5711,29,4135,unit_del,18,factor_simp,factor_simp')] ).
cnf(5997,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_2,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5728,31,3382])])]),
[iquote('hyper,5728,31,3382,factor_simp,factor_simp')] ).
cnf(6030,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_3)
| cycle(e_1,e_0) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5997,6,3399,54,50]),20])]),
[iquote('hyper,5997,6,3399,54,50,unit_del,20,factor_simp')] ).
cnf(6042,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[5997,30,5648]),7])])]),
[iquote('hyper,5997,30,5648,unit_del,7,factor_simp,factor_simp')] ).
cnf(6059,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6030,5,5997,61])])]),
[iquote('hyper,6030,5,5997,61,factor_simp,factor_simp')] ).
cnf(6071,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6059,31,3382])]),
[iquote('hyper,6059,31,3382,factor_simp')] ).
cnf(6253,plain,
product(e_2,e_1,e_3),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6071,30,6059]),7])]),
[iquote('hyper,6071,30,6059,unit_del,7,factor_simp')] ).
cnf(6304,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6253,30,5727]),24]),
[iquote('hyper,6253,30,5727,unit_del,24')] ).
cnf(6324,plain,
( product(e_2,e_5,e_5)
| product(e_3,e_1,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6253,28,5874]),8]),
[iquote('hyper,6253,28,5874,unit_del,8')] ).
cnf(6344,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6253,28,4127]),8]),
[iquote('hyper,6253,28,4127,unit_del,8')] ).
cnf(6351,plain,
( cycle(e_1,e_0)
| cycle(e_1,e_4) ),
inference(hyper,[status(thm)],[6253,5,1452,63]),
[iquote('hyper,6253,5,1452,63')] ).
cnf(6384,plain,
( product(e_3,e_1,e_4)
| cycle(e_1,e_0) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6344,6,1209,55,52]),9]),
[iquote('hyper,6344,6,1209,55,52,unit_del,9')] ).
cnf(6401,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| cycle(e_1,e_0) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6042,6,6351,57,50]),20]),
[iquote('hyper,6042,6,6351,57,50,unit_del,20')] ).
cnf(6415,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6401,5,6042,61])])]),
[iquote('hyper,6401,5,6042,61,factor_simp,factor_simp')] ).
cnf(6422,plain,
( product(e_1,e_1,e_1)
| product(e_3,e_1,e_4) ),
inference(hyper,[status(thm)],[6415,5,6384,59]),
[iquote('hyper,6415,5,6384,59')] ).
cnf(6446,plain,
product(e_3,e_1,e_4),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6422,30,6344]),15])]),
[iquote('hyper,6422,30,6344,unit_del,15,factor_simp')] ).
cnf(6448,plain,
product(e_3,e_4,e_5),
inference(hyper,[status(thm)],[6446,31,5643]),
[iquote('hyper,6446,31,5643')] ).
cnf(6453,plain,
product(e_2,e_5,e_5),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6446,28,6324]),9]),
[iquote('hyper,6446,28,6324,unit_del,9')] ).
cnf(6488,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6304,30,6448]),18]),
[iquote('hyper,6304,30,6448,unit_del,18')] ).
cnf(6490,plain,
( product(e_5,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[6488,31,6415])]),
[iquote('hyper,6488,31,6415,factor_simp')] ).
cnf(6505,plain,
product(e_5,e_1,e_2),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[6490,30,6488]),23])]),
[iquote('hyper,6490,30,6488,unit_del,23,factor_simp')] ).
cnf(6507,plain,
product(e_4,e_5,e_2),
inference(hyper,[status(thm)],[6505,31,5643]),
[iquote('hyper,6505,31,5643')] ).
cnf(6509,plain,
product(e_4,e_2,e_5),
inference(hyper,[status(thm)],[6507,31,6453]),
[iquote('hyper,6507,31,6453')] ).
cnf(6524,plain,
e_qualish(e_1,e_2),
inference(hyper,[status(thm)],[6509,29,5643]),
[iquote('hyper,6509,29,5643')] ).
cnf(6525,plain,
$false,
inference(binary,[status(thm)],[6524,7]),
[iquote('binary,6524.1,7.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GRP128-3.005 : TPTP v8.1.0. Released v1.2.0.
% 0.09/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 05:08:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.71/1.91 ----- Otter 3.3f, August 2004 -----
% 1.71/1.91 The process was started by sandbox2 on n005.cluster.edu,
% 1.71/1.91 Wed Jul 27 05:08:35 2022
% 1.71/1.91 The command was "./otter". The process ID is 20156.
% 1.71/1.91
% 1.71/1.91 set(prolog_style_variables).
% 1.71/1.91 set(auto).
% 1.71/1.91 dependent: set(auto1).
% 1.71/1.91 dependent: set(process_input).
% 1.71/1.91 dependent: clear(print_kept).
% 1.71/1.91 dependent: clear(print_new_demod).
% 1.71/1.91 dependent: clear(print_back_demod).
% 1.71/1.91 dependent: clear(print_back_sub).
% 1.71/1.91 dependent: set(control_memory).
% 1.71/1.91 dependent: assign(max_mem, 12000).
% 1.71/1.91 dependent: assign(pick_given_ratio, 4).
% 1.71/1.91 dependent: assign(stats_level, 1).
% 1.71/1.91 dependent: assign(max_seconds, 10800).
% 1.71/1.91 clear(print_given).
% 1.71/1.91
% 1.71/1.91 list(usable).
% 1.71/1.91 0 [] next(e_0,e_1).
% 1.71/1.91 0 [] next(e_1,e_2).
% 1.71/1.91 0 [] next(e_2,e_3).
% 1.71/1.91 0 [] next(e_3,e_4).
% 1.71/1.91 0 [] next(e_4,e_5).
% 1.71/1.91 0 [] greater(e_1,e_0).
% 1.71/1.91 0 [] greater(e_2,e_0).
% 1.71/1.91 0 [] greater(e_3,e_0).
% 1.71/1.91 0 [] greater(e_4,e_0).
% 1.71/1.91 0 [] greater(e_5,e_0).
% 1.71/1.91 0 [] greater(e_2,e_1).
% 1.71/1.91 0 [] greater(e_3,e_1).
% 1.71/1.91 0 [] greater(e_4,e_1).
% 1.71/1.91 0 [] greater(e_5,e_1).
% 1.71/1.91 0 [] greater(e_3,e_2).
% 1.71/1.91 0 [] greater(e_4,e_2).
% 1.71/1.91 0 [] greater(e_5,e_2).
% 1.71/1.91 0 [] greater(e_4,e_3).
% 1.71/1.91 0 [] greater(e_5,e_3).
% 1.71/1.91 0 [] greater(e_5,e_4).
% 1.71/1.91 0 [] -cycle(X,Y)| -cycle(X,Z)|e_qualish(Y,Z).
% 1.71/1.91 0 [] -group_element(X)|cycle(X,e_0)|cycle(X,e_1)|cycle(X,e_2)|cycle(X,e_3)|cycle(X,e_4).
% 1.71/1.91 0 [] cycle(e_5,e_0).
% 1.71/1.91 0 [] -cycle(X,Y)| -cycle(W,Z)| -next(X,W)| -greater(Y,e_0)| -next(Z,Z1)|e_qualish(Y,Z1).
% 1.71/1.91 0 [] -cycle(X,Z1)| -cycle(Y,e_0)| -cycle(W,Z2)| -next(Y,W)| -greater(Y,X)| -greater(Z1,Z2).
% 1.71/1.91 0 [] -cycle(X,e_0)| -product(X,e_1,Y)| -greater(Y,X).
% 1.71/1.91 0 [] -cycle(X,Y)| -product(X,e_1,Z)| -greater(Y,e_0)| -next(X,X1)|e_qualish(Z,X1).
% 1.71/1.91 0 [] group_element(e_1).
% 1.71/1.91 0 [] group_element(e_2).
% 1.71/1.91 0 [] group_element(e_3).
% 1.71/1.91 0 [] group_element(e_4).
% 1.71/1.91 0 [] group_element(e_5).
% 1.71/1.91 0 [] -e_qualish(e_1,e_2).
% 1.71/1.91 0 [] -e_qualish(e_1,e_3).
% 1.71/1.91 0 [] -e_qualish(e_1,e_4).
% 1.71/1.91 0 [] -e_qualish(e_1,e_5).
% 1.71/1.91 0 [] -e_qualish(e_2,e_1).
% 1.71/1.91 0 [] -e_qualish(e_2,e_3).
% 1.71/1.91 0 [] -e_qualish(e_2,e_4).
% 1.71/1.91 0 [] -e_qualish(e_2,e_5).
% 1.71/1.91 0 [] -e_qualish(e_3,e_1).
% 1.71/1.91 0 [] -e_qualish(e_3,e_2).
% 1.71/1.91 0 [] -e_qualish(e_3,e_4).
% 1.71/1.91 0 [] -e_qualish(e_3,e_5).
% 1.71/1.91 0 [] -e_qualish(e_4,e_1).
% 1.71/1.91 0 [] -e_qualish(e_4,e_2).
% 1.71/1.91 0 [] -e_qualish(e_4,e_3).
% 1.71/1.91 0 [] -e_qualish(e_4,e_5).
% 1.71/1.91 0 [] -e_qualish(e_5,e_1).
% 1.71/1.91 0 [] -e_qualish(e_5,e_2).
% 1.71/1.91 0 [] -e_qualish(e_5,e_3).
% 1.71/1.91 0 [] -e_qualish(e_5,e_4).
% 1.71/1.91 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).
% 1.71/1.91 0 [] -product(X,Y,W)| -product(X,Y,Z)|e_qualish(W,Z).
% 1.71/1.91 0 [] -product(X,W,Y)| -product(X,Z,Y)|e_qualish(W,Z).
% 1.71/1.91 0 [] -product(W,Y,X)| -product(Z,Y,X)|e_qualish(W,Z).
% 1.71/1.91 0 [] -product(X,Y,Z1)| -product(Z1,Y,Z2)|product(X,Z1,Z2).
% 1.71/1.91 end_of_list.
% 1.71/1.91
% 1.71/1.91 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 1.71/1.91
% 1.71/1.91 This is a non-Horn set without equality. The strategy will
% 1.71/1.91 be ordered hyper_res, unit deletion, and factoring, with
% 1.71/1.91 satellites in sos and with nuclei in usable.
% 1.71/1.91
% 1.71/1.91 dependent: set(hyper_res).
% 1.71/1.91 dependent: set(factor).
% 1.71/1.91 dependent: set(unit_deletion).
% 1.71/1.91
% 1.71/1.91 ------------> process usable:
% 1.71/1.91 ** KEPT (pick-wt=9): 1 [] -cycle(A,B)| -cycle(A,C)|e_qualish(B,C).
% 1.71/1.91 ** KEPT (pick-wt=17): 2 [] -group_element(A)|cycle(A,e_0)|cycle(A,e_1)|cycle(A,e_2)|cycle(A,e_3)|cycle(A,e_4).
% 1.71/1.91 ** KEPT (pick-wt=18): 3 [] -cycle(A,B)| -cycle(C,D)| -next(A,C)| -greater(B,e_0)| -next(D,E)|e_qualish(B,E).
% 1.71/1.91 ** KEPT (pick-wt=18): 4 [] -cycle(A,B)| -cycle(C,e_0)| -cycle(D,E)| -next(C,D)| -greater(C,A)| -greater(B,E).
% 1.71/1.91 ** KEPT (pick-wt=10): 5 [] -cycle(A,e_0)| -product(A,e_1,B)| -greater(B,A).
% 1.71/1.91 ** KEPT (pick-wt=16): 6 [] -cycle(A,B)| -product(A,e_1,C)| -greater(B,e_0)| -next(A,D)|e_qualish(C,D).
% 1.71/1.91 ** KEPT (pick-wt=3): 7 [] -e_qualish(e_1,e_2).
% 1.71/1.91 ** KEPT (pick-wt=3): 8 [] -e_qualish(e_1,e_3).
% 1.71/1.91 ** KEPT (pick-wt=3): 9 [] -e_qualish(e_1,e_4).
% 1.71/1.91 ** KEPT (pick-wt=3): 10 [] -e_qualish(e_1,e_5).
% 1.71/1.91 ** KEPT (pick-wt=3): 11 [] -e_qualish(e_2,e_1).
% 1.71/1.91 ** KEPT (pick-wt=3): 12 [] -e_qualish(e_2,e_3).
% 1.71/1.91 ** KEPT (pick-wt=3): 13 [] -e_qualish(e_2,e_4).
% 1.71/1.91 ** KEPT (pick-wt=3): 14 [] -e_qualish(e_2,e_5).
% 1.71/1.91 ** KEPT (pick-wt=3): 15 [] -e_qualish(e_3,e_1).
% 1.71/1.91 ** KEPT (pick-wt=3): 16 [] -e_qualish(e_3,e_2).
% 1.71/1.91 ** KEPT (pick-wt=3): 17 [] -e_qualish(e_3,e_4).
% 1.71/1.91 ** KEPT (pick-wt=3): 18 [] -e_qualish(e_3,e_5).
% 1.71/1.91 ** KEPT (pick-wt=3): 19 [] -e_qualish(e_4,e_1).
% 77.30/77.54 ** KEPT (pick-wt=3): 20 [] -e_qualish(e_4,e_2).
% 77.30/77.54 ** KEPT (pick-wt=3): 21 [] -e_qualish(e_4,e_3).
% 77.30/77.54 ** KEPT (pick-wt=3): 22 [] -e_qualish(e_4,e_5).
% 77.30/77.54 ** KEPT (pick-wt=3): 23 [] -e_qualish(e_5,e_1).
% 77.30/77.54 ** KEPT (pick-wt=3): 24 [] -e_qualish(e_5,e_2).
% 77.30/77.54 ** KEPT (pick-wt=3): 25 [] -e_qualish(e_5,e_3).
% 77.30/77.54 ** KEPT (pick-wt=3): 26 [] -e_qualish(e_5,e_4).
% 77.30/77.54 ** KEPT (pick-wt=24): 27 [] -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).
% 77.30/77.54 ** KEPT (pick-wt=11): 28 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 77.30/77.54 ** KEPT (pick-wt=11): 29 [] -product(A,B,C)| -product(A,D,C)|e_qualish(B,D).
% 77.30/77.54 ** KEPT (pick-wt=11): 30 [] -product(A,B,C)| -product(D,B,C)|e_qualish(A,D).
% 77.30/77.54 ** KEPT (pick-wt=12): 31 [] -product(A,B,C)| -product(C,B,D)|product(A,C,D).
% 77.30/77.54
% 77.30/77.54 ------------> process sos:
% 77.30/77.54 ** KEPT (pick-wt=3): 49 [] next(e_0,e_1).
% 77.30/77.54 ** KEPT (pick-wt=3): 50 [] next(e_1,e_2).
% 77.30/77.54 ** KEPT (pick-wt=3): 51 [] next(e_2,e_3).
% 77.30/77.54 ** KEPT (pick-wt=3): 52 [] next(e_3,e_4).
% 77.30/77.54 ** KEPT (pick-wt=3): 53 [] next(e_4,e_5).
% 77.30/77.54 ** KEPT (pick-wt=3): 54 [] greater(e_1,e_0).
% 77.30/77.54 ** KEPT (pick-wt=3): 55 [] greater(e_2,e_0).
% 77.30/77.54 ** KEPT (pick-wt=3): 56 [] greater(e_3,e_0).
% 77.30/77.54 ** KEPT (pick-wt=3): 57 [] greater(e_4,e_0).
% 77.30/77.54 ** KEPT (pick-wt=3): 58 [] greater(e_5,e_0).
% 77.30/77.54 ** KEPT (pick-wt=3): 59 [] greater(e_2,e_1).
% 77.30/77.54 ** KEPT (pick-wt=3): 60 [] greater(e_3,e_1).
% 77.30/77.54 ** KEPT (pick-wt=3): 61 [] greater(e_4,e_1).
% 77.30/77.54 ** KEPT (pick-wt=3): 62 [] greater(e_5,e_1).
% 77.30/77.54 ** KEPT (pick-wt=3): 63 [] greater(e_3,e_2).
% 77.30/77.54 ** KEPT (pick-wt=3): 64 [] greater(e_4,e_2).
% 77.30/77.54 ** KEPT (pick-wt=3): 65 [] greater(e_5,e_2).
% 77.30/77.54 ** KEPT (pick-wt=3): 66 [] greater(e_4,e_3).
% 77.30/77.54 ** KEPT (pick-wt=3): 67 [] greater(e_5,e_3).
% 77.30/77.54 ** KEPT (pick-wt=3): 68 [] greater(e_5,e_4).
% 77.30/77.54 ** KEPT (pick-wt=3): 69 [] cycle(e_5,e_0).
% 77.30/77.54 ** KEPT (pick-wt=2): 70 [] group_element(e_1).
% 77.30/77.54 ** KEPT (pick-wt=2): 71 [] group_element(e_2).
% 77.30/77.54 ** KEPT (pick-wt=2): 72 [] group_element(e_3).
% 77.30/77.54 ** KEPT (pick-wt=2): 73 [] group_element(e_4).
% 77.30/77.54 ** KEPT (pick-wt=2): 74 [] group_element(e_5).
% 77.30/77.54
% 77.30/77.54 ======= end of input processing =======
% 77.30/77.54
% 77.30/77.54 =========== start of search ===========
% 77.30/77.54
% 77.30/77.54
% 77.30/77.54 Resetting weight limit to 19.
% 77.30/77.54
% 77.30/77.54
% 77.30/77.54 Resetting weight limit to 19.
% 77.30/77.54
% 77.30/77.54 sos_size=1863
% 77.30/77.54
% 77.30/77.54
% 77.30/77.54 Resetting weight limit to 16.
% 77.30/77.54
% 77.30/77.54
% 77.30/77.54 Resetting weight limit to 16.
% 77.30/77.54
% 77.30/77.54 sos_size=1150
% 77.30/77.54
% 77.30/77.54
% 77.30/77.54 Resetting weight limit to 12.
% 77.30/77.54
% 77.30/77.54
% 77.30/77.54 Resetting weight limit to 12.
% 77.30/77.54
% 77.30/77.54 sos_size=571
% 77.30/77.54
% 77.30/77.54 -- HEY sandbox2, WE HAVE A PROOF!! --
% 77.30/77.54
% 77.30/77.54 ----> UNIT CONFLICT at 75.60 sec ----> 6525 [binary,6524.1,7.1] $F.
% 77.30/77.54
% 77.30/77.54 Length of proof is 168. Level of proof is 59.
% 77.30/77.54
% 77.30/77.54 ---------------- PROOF ----------------
% 77.30/77.54 % SZS status Unsatisfiable
% 77.30/77.54 % SZS output start Refutation
% See solution above
% 77.30/77.55 ------------ end of proof -------------
% 77.30/77.55
% 77.30/77.55
% 77.30/77.55 Search stopped by max_proofs option.
% 77.30/77.55
% 77.30/77.55
% 77.30/77.55 Search stopped by max_proofs option.
% 77.30/77.55
% 77.30/77.55 ============ end of search ============
% 77.30/77.55
% 77.30/77.55 -------------- statistics -------------
% 77.30/77.55 clauses given 2543
% 77.30/77.55 clauses generated 3416120
% 77.30/77.55 clauses kept 6524
% 77.30/77.55 clauses forward subsumed 85477
% 77.30/77.55 clauses back subsumed 6178
% 77.30/77.55 Kbytes malloced 5859
% 77.30/77.55
% 77.30/77.55 ----------- times (seconds) -----------
% 77.30/77.55 user CPU time 75.61 (0 hr, 1 min, 15 sec)
% 77.30/77.55 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 77.30/77.55 wall-clock time 77 (0 hr, 1 min, 17 sec)
% 77.30/77.55
% 77.30/77.55 That finishes the proof of the theorem.
% 77.30/77.55
% 77.30/77.55 Process 20156 finished Wed Jul 27 05:09:52 2022
% 77.30/77.55 Otter interrupted
% 77.30/77.55 PROOF FOUND
%------------------------------------------------------------------------------