TSTP Solution File: GRP125-2.005 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP125-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n013.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 12:56:10 EDT 2022
% Result : Unsatisfiable 2.33s 2.57s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 37
% Syntax : Number of clauses : 135 ( 40 unt; 90 nHn; 134 RR)
% Number of literals : 325 ( 0 equ; 33 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ product(A,e_1,B)
| ~ next(A,C)
| ~ greater(B,C) ),
file('GRP125-2.005.p',unknown),
[] ).
cnf(2,axiom,
~ e_qualish(e_1,e_2),
file('GRP125-2.005.p',unknown),
[] ).
cnf(3,axiom,
~ e_qualish(e_1,e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(4,axiom,
~ e_qualish(e_1,e_4),
file('GRP125-2.005.p',unknown),
[] ).
cnf(5,axiom,
~ e_qualish(e_1,e_5),
file('GRP125-2.005.p',unknown),
[] ).
cnf(6,axiom,
~ e_qualish(e_2,e_1),
file('GRP125-2.005.p',unknown),
[] ).
cnf(7,axiom,
~ e_qualish(e_2,e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(8,axiom,
~ e_qualish(e_2,e_4),
file('GRP125-2.005.p',unknown),
[] ).
cnf(9,axiom,
~ e_qualish(e_2,e_5),
file('GRP125-2.005.p',unknown),
[] ).
cnf(10,axiom,
~ e_qualish(e_3,e_1),
file('GRP125-2.005.p',unknown),
[] ).
cnf(11,axiom,
~ e_qualish(e_3,e_2),
file('GRP125-2.005.p',unknown),
[] ).
cnf(12,axiom,
~ e_qualish(e_3,e_4),
file('GRP125-2.005.p',unknown),
[] ).
cnf(13,axiom,
~ e_qualish(e_3,e_5),
file('GRP125-2.005.p',unknown),
[] ).
cnf(14,axiom,
~ e_qualish(e_4,e_1),
file('GRP125-2.005.p',unknown),
[] ).
cnf(15,axiom,
~ e_qualish(e_4,e_2),
file('GRP125-2.005.p',unknown),
[] ).
cnf(16,axiom,
~ e_qualish(e_4,e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(17,axiom,
~ e_qualish(e_4,e_5),
file('GRP125-2.005.p',unknown),
[] ).
cnf(18,axiom,
~ e_qualish(e_5,e_1),
file('GRP125-2.005.p',unknown),
[] ).
cnf(19,axiom,
~ e_qualish(e_5,e_2),
file('GRP125-2.005.p',unknown),
[] ).
cnf(20,axiom,
~ e_qualish(e_5,e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(21,axiom,
~ e_qualish(e_5,e_4),
file('GRP125-2.005.p',unknown),
[] ).
cnf(22,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('GRP125-2.005.p',unknown),
[] ).
cnf(23,axiom,
( ~ product(A,B,C)
| ~ product(A,B,D)
| e_qualish(C,D) ),
file('GRP125-2.005.p',unknown),
[] ).
cnf(24,axiom,
( ~ product(A,B,C)
| ~ product(A,D,C)
| e_qualish(B,D) ),
file('GRP125-2.005.p',unknown),
[] ).
cnf(25,axiom,
( ~ product(A,B,C)
| ~ product(D,B,C)
| e_qualish(A,D) ),
file('GRP125-2.005.p',unknown),
[] ).
cnf(26,axiom,
( ~ product(A,B,C)
| ~ product(B,A,D)
| product(C,D,A) ),
file('GRP125-2.005.p',unknown),
[] ).
cnf(33,axiom,
next(e_2,e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(34,axiom,
next(e_3,e_4),
file('GRP125-2.005.p',unknown),
[] ).
cnf(43,axiom,
greater(e_4,e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(44,axiom,
greater(e_5,e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(45,axiom,
greater(e_5,e_4),
file('GRP125-2.005.p',unknown),
[] ).
cnf(46,axiom,
group_element(e_1),
file('GRP125-2.005.p',unknown),
[] ).
cnf(47,axiom,
group_element(e_2),
file('GRP125-2.005.p',unknown),
[] ).
cnf(48,axiom,
group_element(e_3),
file('GRP125-2.005.p',unknown),
[] ).
cnf(49,axiom,
group_element(e_4),
file('GRP125-2.005.p',unknown),
[] ).
cnf(50,axiom,
group_element(e_5),
file('GRP125-2.005.p',unknown),
[] ).
cnf(51,axiom,
product(A,A,A),
file('GRP125-2.005.p',unknown),
[] ).
cnf(52,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(hyper,[status(thm)],[47,22,46]),
[iquote('hyper,47,22,46')] ).
cnf(53,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)],[47,22,46]),
[iquote('hyper,47,22,46')] ).
cnf(54,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)],[48,22,47]),
[iquote('hyper,48,22,47')] ).
cnf(55,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(hyper,[status(thm)],[48,22,46]),
[iquote('hyper,48,22,46')] ).
cnf(56,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) ),
inference(hyper,[status(thm)],[48,22,47]),
[iquote('hyper,48,22,47')] ).
cnf(57,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)],[48,22,46]),
[iquote('hyper,48,22,46')] ).
cnf(58,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)],[49,22,48]),
[iquote('hyper,49,22,48')] ).
cnf(59,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)],[49,22,47]),
[iquote('hyper,49,22,47')] ).
cnf(60,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(hyper,[status(thm)],[49,22,46]),
[iquote('hyper,49,22,46')] ).
cnf(61,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(hyper,[status(thm)],[49,22,48]),
[iquote('hyper,49,22,48')] ).
cnf(62,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)],[49,22,47]),
[iquote('hyper,49,22,47')] ).
cnf(63,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)],[49,22,46]),
[iquote('hyper,49,22,46')] ).
cnf(64,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)],[50,22,49]),
[iquote('hyper,50,22,49')] ).
cnf(73,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[52,24,51]),2]),
[iquote('hyper,52,24,51,unit_del,2')] ).
cnf(75,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[73,25,51]),6]),
[iquote('hyper,73,25,51,unit_del,6')] ).
cnf(82,plain,
( 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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[53,25,51]),2]),
[iquote('hyper,53,25,51,unit_del,2')] ).
cnf(110,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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[54,24,51]),7]),
[iquote('hyper,54,24,51,unit_del,7')] ).
cnf(118,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[82,24,51]),6]),
[iquote('hyper,82,24,51,unit_del,6')] ).
cnf(151,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_5) ),
inference(hyper,[status(thm)],[118,1,33,43]),
[iquote('hyper,118,1,33,43')] ).
cnf(171,plain,
product(e_2,e_1,e_3),
inference(hyper,[status(thm)],[151,1,33,44]),
[iquote('hyper,151,1,33,44')] ).
cnf(174,plain,
( product(e_3,e_3,e_1)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(hyper,[status(thm)],[171,26,75]),
[iquote('hyper,171,26,75')] ).
cnf(178,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[55,24,51]),3]),
[iquote('hyper,55,24,51,unit_del,3')] ).
cnf(192,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[174,23,51]),10]),
[iquote('hyper,174,23,51,unit_del,10')] ).
cnf(195,plain,
( product(e_1,e_2,e_5)
| product(e_3,e_4,e_2) ),
inference(hyper,[status(thm)],[192,26,171]),
[iquote('hyper,192,26,171')] ).
cnf(196,plain,
( product(e_1,e_2,e_5)
| product(e_4,e_3,e_1) ),
inference(hyper,[status(thm)],[192,26,171]),
[iquote('hyper,192,26,171')] ).
cnf(198,plain,
( product(e_1,e_2,e_4)
| product(e_5,e_3,e_1) ),
inference(hyper,[status(thm)],[192,26,171]),
[iquote('hyper,192,26,171')] ).
cnf(199,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[56,25,51]),7]),
[iquote('hyper,56,25,51,unit_del,7')] ).
cnf(204,plain,
( product(e_3,e_4,e_2)
| product(e_5,e_3,e_1) ),
inference(hyper,[status(thm)],[195,26,171]),
[iquote('hyper,195,26,171')] ).
cnf(205,plain,
( product(e_4,e_3,e_1)
| product(e_3,e_5,e_2) ),
inference(hyper,[status(thm)],[196,26,171]),
[iquote('hyper,196,26,171')] ).
cnf(206,plain,
( product(e_4,e_3,e_1)
| product(e_5,e_3,e_1) ),
inference(hyper,[status(thm)],[196,26,171]),
[iquote('hyper,196,26,171')] ).
cnf(207,plain,
( 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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[57,25,51]),3]),
[iquote('hyper,57,25,51,unit_del,3')] ).
cnf(214,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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[58,24,51]),12]),
[iquote('hyper,58,24,51,unit_del,12')] ).
cnf(222,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[110,25,51]),11]),
[iquote('hyper,110,25,51,unit_del,11')] ).
cnf(223,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_4,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[222,25,206]),19]),
[iquote('hyper,222,25,206,unit_del,19')] ).
cnf(229,plain,
( 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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[223,25,222]),8])])]),
[iquote('hyper,223,25,222,unit_del,8,factor_simp,factor_simp')] ).
cnf(233,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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[59,24,51]),8]),
[iquote('hyper,59,24,51,unit_del,8')] ).
cnf(237,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[178,25,51]),10]),
[iquote('hyper,178,25,51,unit_del,10')] ).
cnf(247,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_5)
| product(e_5,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[237,24,198]),7]),
[iquote('hyper,237,24,198,unit_del,7')] ).
cnf(251,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[237,24,196]),7]),
[iquote('hyper,237,24,196,unit_del,7')] ).
cnf(257,plain,
( product(e_1,e_3,e_2)
| product(e_5,e_3,e_1)
| product(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[247,25,229]),6]),
[iquote('hyper,247,25,229,unit_del,6')] ).
cnf(258,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[60,24,51]),4]),
[iquote('hyper,60,24,51,unit_del,4')] ).
cnf(278,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[61,25,51]),12]),
[iquote('hyper,61,25,51,unit_del,12')] ).
cnf(289,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[62,25,51]),8]),
[iquote('hyper,62,25,51,unit_del,8')] ).
cnf(299,plain,
( 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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[63,25,51]),4]),
[iquote('hyper,63,25,51,unit_del,4')] ).
cnf(342,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[199,24,51]),11]),
[iquote('hyper,199,24,51,unit_del,11')] ).
cnf(510,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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[64,24,51]),17]),
[iquote('hyper,64,24,51,unit_del,17')] ).
cnf(687,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[207,25,171]),7]),
[iquote('hyper,207,25,171,unit_del,7')] ).
cnf(967,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(hyper,[status(thm)],[687,1,34,45]),
[iquote('hyper,687,1,34,45')] ).
cnf(1024,plain,
( product(e_3,e_1,e_4)
| product(e_4,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[967,24,205]),18]),
[iquote('hyper,967,24,205,unit_del,18')] ).
cnf(1025,plain,
( product(e_3,e_1,e_4)
| product(e_5,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[967,24,204]),14]),
[iquote('hyper,967,24,204,unit_del,14')] ).
cnf(1091,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_4,e_1)
| product(e_1,e_3,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1024,26,251])]),
[iquote('hyper,1024,26,251,factor_simp')] ).
cnf(1137,plain,
product(e_3,e_1,e_4),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1025,25,1024]),17])]),
[iquote('hyper,1025,25,1024,unit_del,17,factor_simp')] ).
cnf(1178,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1137,24,342]),6]),
[iquote('hyper,1137,24,342,unit_del,6')] ).
cnf(1237,plain,
( product(e_3,e_2,e_1)
| product(e_5,e_5,e_2)
| product(e_2,e_3,e_4) ),
inference(hyper,[status(thm)],[1178,26,229]),
[iquote('hyper,1178,26,229')] ).
cnf(1253,plain,
( product(e_4,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1091,23,51]),14]),
[iquote('hyper,1091,23,51,unit_del,14')] ).
cnf(1268,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_4) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1253,25,257]),21])]),
[iquote('hyper,1253,25,257,unit_del,21,factor_simp')] ).
cnf(1269,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1253,25,247]),21])]),
[iquote('hyper,1253,25,247,unit_del,21,factor_simp')] ).
cnf(1270,plain,
( product(e_1,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1253,25,204]),21]),
[iquote('hyper,1253,25,204,unit_del,21')] ).
cnf(1280,plain,
( product(e_1,e_3,e_5)
| product(e_4,e_2,e_3) ),
inference(hyper,[status(thm)],[1269,26,1137]),
[iquote('hyper,1269,26,1137')] ).
cnf(1283,plain,
( product(e_1,e_3,e_2)
| product(e_5,e_4,e_1) ),
inference(hyper,[status(thm)],[1269,26,1137]),
[iquote('hyper,1269,26,1137')] ).
cnf(1285,plain,
( product(e_3,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(hyper,[status(thm)],[1270,26,1137]),
[iquote('hyper,1270,26,1137')] ).
cnf(1326,plain,
( product(e_4,e_2,e_3)
| product(e_5,e_4,e_1) ),
inference(hyper,[status(thm)],[1280,26,1137]),
[iquote('hyper,1280,26,1137')] ).
cnf(1362,plain,
( 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(unit_del,[status(thm)],[inference(hyper,[status(thm)],[214,25,1285]),7])]),
[iquote('hyper,214,25,1285,unit_del,7,factor_simp')] ).
cnf(1378,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[233,24,171]),4]),
[iquote('hyper,233,24,171,unit_del,4')] ).
cnf(1408,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[258,25,51]),14]),
[iquote('hyper,258,25,51,unit_del,14')] ).
cnf(1457,plain,
( product(e_3,e_2,e_1)
| product(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1237,23,51]),19]),
[iquote('hyper,1237,23,51,unit_del,19')] ).
cnf(1461,plain,
( product(e_2,e_3,e_4)
| product(e_1,e_5,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1457,26,229])]),
[iquote('hyper,1457,26,229,factor_simp')] ).
cnf(1462,plain,
( product(e_3,e_2,e_1)
| product(e_5,e_4,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1457,26,1178])]),
[iquote('hyper,1457,26,1178,factor_simp')] ).
cnf(1493,plain,
( product(e_3,e_2,e_1)
| product(e_4,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1462,23,1326]),3]),
[iquote('hyper,1462,23,1326,unit_del,3')] ).
cnf(1494,plain,
( product(e_3,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1462,23,1283]),3]),
[iquote('hyper,1462,23,1283,unit_del,3')] ).
cnf(1546,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_4,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1494,26,1268])]),
[iquote('hyper,1494,26,1268,factor_simp')] ).
cnf(1553,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[278,25,1253]),4])]),
[iquote('hyper,278,25,1253,unit_del,4,factor_simp')] ).
cnf(1586,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1362,25,51]),16]),
[iquote('hyper,1362,25,51,unit_del,16')] ).
cnf(1587,plain,
( product(e_3,e_4,e_5)
| product(e_4,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1586,24,205]),21]),
[iquote('hyper,1586,24,205,unit_del,21')] ).
cnf(1590,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[289,25,1493]),12])]),
[iquote('hyper,289,25,1493,unit_del,12,factor_simp')] ).
cnf(1600,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[299,25,171]),8]),
[iquote('hyper,299,25,171,unit_del,8')] ).
cnf(1604,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1378,25,51]),15]),
[iquote('hyper,1378,25,51,unit_del,15')] ).
cnf(1605,plain,
( product(e_2,e_4,e_5)
| product(e_4,e_2,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1604,25,1326]),19]),
[iquote('hyper,1604,25,1326,unit_del,19')] ).
cnf(1636,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1408,24,1546]),12])]),
[iquote('hyper,1408,24,1546,unit_del,12,factor_simp')] ).
cnf(1645,plain,
( product(e_1,e_4,e_5)
| product(e_3,e_2,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1636,25,1462]),18]),
[iquote('hyper,1636,25,1462,unit_del,18')] ).
cnf(1646,plain,
( product(e_1,e_4,e_5)
| product(e_2,e_3,e_4) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1636,24,1461]),21]),
[iquote('hyper,1636,24,1461,unit_del,21')] ).
cnf(1657,plain,
( product(e_2,e_3,e_4)
| product(e_4,e_3,e_1) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1646,25,1587]),10]),
[iquote('hyper,1646,25,1587,unit_del,10')] ).
cnf(1659,plain,
( product(e_1,e_4,e_5)
| product(e_4,e_1,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1646,26,1645])]),
[iquote('hyper,1646,26,1645,factor_simp')] ).
cnf(1715,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[510,25,51]),21]),
[iquote('hyper,510,25,51,unit_del,21')] ).
cnf(1796,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_5) ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1553,25,1657]),8])]),
[iquote('hyper,1553,25,1657,unit_del,8,factor_simp')] ).
cnf(1808,plain,
( product(e_4,e_3,e_1)
| product(e_5,e_5,e_3) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1796,26,1587])]),
[iquote('hyper,1796,26,1587,factor_simp')] ).
cnf(1836,plain,
product(e_4,e_3,e_1),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1808,23,51]),20]),
[iquote('hyper,1808,23,51,unit_del,20')] ).
cnf(1842,plain,
product(e_1,e_2,e_4),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1836,25,198]),21]),
[iquote('hyper,1836,25,198,unit_del,21')] ).
cnf(1874,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1590,25,1842]),4]),
[iquote('hyper,1590,25,1842,unit_del,4')] ).
cnf(1886,plain,
( product(e_4,e_2,e_3)
| product(e_5,e_5,e_2) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1874,26,1605])]),
[iquote('hyper,1874,26,1605,factor_simp')] ).
cnf(1915,plain,
product(e_4,e_2,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1886,23,51]),19]),
[iquote('hyper,1886,23,51,unit_del,19')] ).
cnf(1952,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_5) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1600,25,1137]),12]),
[iquote('hyper,1600,25,1137,unit_del,12')] ).
cnf(1969,plain,
( product(e_4,e_1,e_2)
| product(e_5,e_5,e_1) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1952,26,1659])]),
[iquote('hyper,1952,26,1659,factor_simp')] ).
cnf(2002,plain,
product(e_4,e_1,e_2),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1969,23,51]),18]),
[iquote('hyper,1969,23,51,unit_del,18')] ).
cnf(2023,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_3) ),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[1715,24,1836]),13]),
[iquote('hyper,1715,24,1836,unit_del,13')] ).
cnf(2030,plain,
product(e_4,e_5,e_3),
inference(unit_del,[status(thm)],[inference(hyper,[status(thm)],[2023,24,2002]),5]),
[iquote('hyper,2023,24,2002,unit_del,5')] ).
cnf(2032,plain,
e_qualish(e_2,e_5),
inference(hyper,[status(thm)],[2030,24,1915]),
[iquote('hyper,2030,24,1915')] ).
cnf(2033,plain,
$false,
inference(binary,[status(thm)],[2032,9]),
[iquote('binary,2032.1,9.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP125-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n013.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 05:02:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.82/2.04 ----- Otter 3.3f, August 2004 -----
% 1.82/2.04 The process was started by sandbox on n013.cluster.edu,
% 1.82/2.04 Wed Jul 27 05:02:30 2022
% 1.82/2.04 The command was "./otter". The process ID is 19744.
% 1.82/2.04
% 1.82/2.04 set(prolog_style_variables).
% 1.82/2.04 set(auto).
% 1.82/2.04 dependent: set(auto1).
% 1.82/2.04 dependent: set(process_input).
% 1.82/2.04 dependent: clear(print_kept).
% 1.82/2.04 dependent: clear(print_new_demod).
% 1.82/2.04 dependent: clear(print_back_demod).
% 1.82/2.04 dependent: clear(print_back_sub).
% 1.82/2.04 dependent: set(control_memory).
% 1.82/2.04 dependent: assign(max_mem, 12000).
% 1.82/2.04 dependent: assign(pick_given_ratio, 4).
% 1.82/2.04 dependent: assign(stats_level, 1).
% 1.82/2.04 dependent: assign(max_seconds, 10800).
% 1.82/2.04 clear(print_given).
% 1.82/2.04
% 1.82/2.04 list(usable).
% 1.82/2.04 0 [] next(e_1,e_2).
% 1.82/2.04 0 [] next(e_2,e_3).
% 1.82/2.04 0 [] next(e_3,e_4).
% 1.82/2.04 0 [] next(e_4,e_5).
% 1.82/2.04 0 [] greater(e_2,e_1).
% 1.82/2.04 0 [] greater(e_3,e_1).
% 1.82/2.04 0 [] greater(e_4,e_1).
% 1.82/2.04 0 [] greater(e_5,e_1).
% 1.82/2.04 0 [] greater(e_3,e_2).
% 1.82/2.04 0 [] greater(e_4,e_2).
% 1.82/2.04 0 [] greater(e_5,e_2).
% 1.82/2.04 0 [] greater(e_4,e_3).
% 1.82/2.04 0 [] greater(e_5,e_3).
% 1.82/2.04 0 [] greater(e_5,e_4).
% 1.82/2.04 0 [] -product(X,e_1,Y)| -next(X,X1)| -greater(Y,X1).
% 1.82/2.04 0 [] group_element(e_1).
% 1.82/2.04 0 [] group_element(e_2).
% 1.82/2.04 0 [] group_element(e_3).
% 1.82/2.04 0 [] group_element(e_4).
% 1.82/2.04 0 [] group_element(e_5).
% 1.82/2.04 0 [] -e_qualish(e_1,e_2).
% 1.82/2.04 0 [] -e_qualish(e_1,e_3).
% 1.82/2.04 0 [] -e_qualish(e_1,e_4).
% 1.82/2.04 0 [] -e_qualish(e_1,e_5).
% 1.82/2.04 0 [] -e_qualish(e_2,e_1).
% 1.82/2.04 0 [] -e_qualish(e_2,e_3).
% 1.82/2.04 0 [] -e_qualish(e_2,e_4).
% 1.82/2.04 0 [] -e_qualish(e_2,e_5).
% 1.82/2.04 0 [] -e_qualish(e_3,e_1).
% 1.82/2.04 0 [] -e_qualish(e_3,e_2).
% 1.82/2.04 0 [] -e_qualish(e_3,e_4).
% 1.82/2.04 0 [] -e_qualish(e_3,e_5).
% 1.82/2.04 0 [] -e_qualish(e_4,e_1).
% 1.82/2.04 0 [] -e_qualish(e_4,e_2).
% 1.82/2.04 0 [] -e_qualish(e_4,e_3).
% 1.82/2.04 0 [] -e_qualish(e_4,e_5).
% 1.82/2.04 0 [] -e_qualish(e_5,e_1).
% 1.82/2.04 0 [] -e_qualish(e_5,e_2).
% 1.82/2.04 0 [] -e_qualish(e_5,e_3).
% 1.82/2.04 0 [] -e_qualish(e_5,e_4).
% 1.82/2.04 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).
% 1.82/2.04 0 [] -product(X,Y,W)| -product(X,Y,Z)|e_qualish(W,Z).
% 1.82/2.04 0 [] -product(X,W,Y)| -product(X,Z,Y)|e_qualish(W,Z).
% 1.82/2.04 0 [] -product(W,Y,X)| -product(Z,Y,X)|e_qualish(W,Z).
% 1.82/2.04 0 [] product(X,X,X).
% 1.82/2.04 0 [] -product(X,Y,Z1)| -product(Y,X,Z2)|product(Z1,Z2,X).
% 1.82/2.04 end_of_list.
% 1.82/2.04
% 1.82/2.04 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 1.82/2.05
% 1.82/2.05 This is a non-Horn set without equality. The strategy will
% 1.82/2.05 be ordered hyper_res, unit deletion, and factoring, with
% 1.82/2.05 satellites in sos and with nuclei in usable.
% 1.82/2.05
% 1.82/2.05 dependent: set(hyper_res).
% 1.82/2.05 dependent: set(factor).
% 1.82/2.05 dependent: set(unit_deletion).
% 1.82/2.05
% 1.82/2.05 ------------> process usable:
% 1.82/2.05 ** KEPT (pick-wt=10): 1 [] -product(A,e_1,B)| -next(A,C)| -greater(B,C).
% 1.82/2.05 ** KEPT (pick-wt=3): 2 [] -e_qualish(e_1,e_2).
% 1.82/2.05 ** KEPT (pick-wt=3): 3 [] -e_qualish(e_1,e_3).
% 1.82/2.05 ** KEPT (pick-wt=3): 4 [] -e_qualish(e_1,e_4).
% 1.82/2.05 ** KEPT (pick-wt=3): 5 [] -e_qualish(e_1,e_5).
% 1.82/2.05 ** KEPT (pick-wt=3): 6 [] -e_qualish(e_2,e_1).
% 1.82/2.05 ** KEPT (pick-wt=3): 7 [] -e_qualish(e_2,e_3).
% 1.82/2.05 ** KEPT (pick-wt=3): 8 [] -e_qualish(e_2,e_4).
% 1.82/2.05 ** KEPT (pick-wt=3): 9 [] -e_qualish(e_2,e_5).
% 1.82/2.05 ** KEPT (pick-wt=3): 10 [] -e_qualish(e_3,e_1).
% 1.82/2.05 ** KEPT (pick-wt=3): 11 [] -e_qualish(e_3,e_2).
% 1.82/2.05 ** KEPT (pick-wt=3): 12 [] -e_qualish(e_3,e_4).
% 1.82/2.05 ** KEPT (pick-wt=3): 13 [] -e_qualish(e_3,e_5).
% 1.82/2.05 ** KEPT (pick-wt=3): 14 [] -e_qualish(e_4,e_1).
% 1.82/2.05 ** KEPT (pick-wt=3): 15 [] -e_qualish(e_4,e_2).
% 1.82/2.05 ** KEPT (pick-wt=3): 16 [] -e_qualish(e_4,e_3).
% 1.82/2.05 ** KEPT (pick-wt=3): 17 [] -e_qualish(e_4,e_5).
% 1.82/2.05 ** KEPT (pick-wt=3): 18 [] -e_qualish(e_5,e_1).
% 1.82/2.05 ** KEPT (pick-wt=3): 19 [] -e_qualish(e_5,e_2).
% 1.82/2.05 ** KEPT (pick-wt=3): 20 [] -e_qualish(e_5,e_3).
% 1.82/2.05 ** KEPT (pick-wt=3): 21 [] -e_qualish(e_5,e_4).
% 1.82/2.05 ** KEPT (pick-wt=24): 22 [] -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).
% 1.82/2.05 ** KEPT (pick-wt=11): 23 [] -product(A,B,C)| -product(A,B,D)|e_qualish(C,D).
% 1.82/2.05 ** KEPT (pick-wt=11): 24 [] -product(A,B,C)| -product(A,D,C)|e_qualish(B,D).
% 1.82/2.05 ** KEPT (pick-wt=11): 25 [] -product(A,B,C)| -product(D,B,C)|e_qualish(A,D).
% 1.82/2.05 ** KEPT (pick-wt=12): 26 [] -product(A,B,C)| -product(B,A,D)|product(C,D,A).
% 1.82/2.05
% 1.82/2.05 ------------> process sos:
% 1.82/2.05 ** KEPT (pick-wt=3): 32 [] next(e_1,e_2).
% 1.82/2.05 ** KEPT (pick-wt=3): 33 [] next(e_2,e_3).
% 1.82/2.05 ** KEPT (pick-wt=3): 34 [] next(e_3,e_4).
% 1.82/2.05 ** KEPT (pick-wt=3): 35 [] next(e_4,e_5).
% 1.82/2.05 ** KEPT (pick-wt=3): 36 [] greater(e_2,e_1).
% 2.33/2.57 ** KEPT (pick-wt=3): 37 [] greater(e_3,e_1).
% 2.33/2.57 ** KEPT (pick-wt=3): 38 [] greater(e_4,e_1).
% 2.33/2.57 ** KEPT (pick-wt=3): 39 [] greater(e_5,e_1).
% 2.33/2.57 ** KEPT (pick-wt=3): 40 [] greater(e_3,e_2).
% 2.33/2.57 ** KEPT (pick-wt=3): 41 [] greater(e_4,e_2).
% 2.33/2.57 ** KEPT (pick-wt=3): 42 [] greater(e_5,e_2).
% 2.33/2.57 ** KEPT (pick-wt=3): 43 [] greater(e_4,e_3).
% 2.33/2.57 ** KEPT (pick-wt=3): 44 [] greater(e_5,e_3).
% 2.33/2.57 ** KEPT (pick-wt=3): 45 [] greater(e_5,e_4).
% 2.33/2.57 ** KEPT (pick-wt=2): 46 [] group_element(e_1).
% 2.33/2.57 ** KEPT (pick-wt=2): 47 [] group_element(e_2).
% 2.33/2.57 ** KEPT (pick-wt=2): 48 [] group_element(e_3).
% 2.33/2.57 ** KEPT (pick-wt=2): 49 [] group_element(e_4).
% 2.33/2.57 ** KEPT (pick-wt=2): 50 [] group_element(e_5).
% 2.33/2.57 ** KEPT (pick-wt=4): 51 [] product(A,A,A).
% 2.33/2.57
% 2.33/2.57 ======= end of input processing =======
% 2.33/2.57
% 2.33/2.57 =========== start of search ===========
% 2.33/2.57
% 2.33/2.57 -------- PROOF --------
% 2.33/2.57
% 2.33/2.57 ----> UNIT CONFLICT at 0.53 sec ----> 2033 [binary,2032.1,9.1] $F.
% 2.33/2.57
% 2.33/2.57 Length of proof is 97. Level of proof is 28.
% 2.33/2.57
% 2.33/2.57 ---------------- PROOF ----------------
% 2.33/2.57 % SZS status Unsatisfiable
% 2.33/2.57 % SZS output start Refutation
% See solution above
% 2.33/2.57 ------------ end of proof -------------
% 2.33/2.57
% 2.33/2.57
% 2.33/2.57 Search stopped by max_proofs option.
% 2.33/2.57
% 2.33/2.57
% 2.33/2.57 Search stopped by max_proofs option.
% 2.33/2.57
% 2.33/2.57 ============ end of search ============
% 2.33/2.57
% 2.33/2.57 -------------- statistics -------------
% 2.33/2.57 clauses given 258
% 2.33/2.57 clauses generated 36876
% 2.33/2.57 clauses kept 2032
% 2.33/2.57 clauses forward subsumed 34890
% 2.33/2.57 clauses back subsumed 1916
% 2.33/2.57 Kbytes malloced 1953
% 2.33/2.57
% 2.33/2.57 ----------- times (seconds) -----------
% 2.33/2.57 user CPU time 0.53 (0 hr, 0 min, 0 sec)
% 2.33/2.57 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.33/2.57 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.33/2.57
% 2.33/2.57 That finishes the proof of the theorem.
% 2.33/2.57
% 2.33/2.57 Process 19744 finished Wed Jul 27 05:02:32 2022
% 2.33/2.57 Otter interrupted
% 2.33/2.57 PROOF FOUND
%------------------------------------------------------------------------------