TSTP Solution File: GRP119-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP119-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 12:56:05 EDT 2022
% Result : Unsatisfiable 9.41s 9.62s
% Output : Refutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 67 ( 67 unt; 0 nHn; 3 RR)
% Number of literals : 67 ( 66 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
multiply(a,multiply(a,multiply(a,a))) != identity,
file('GRP119-1.p',unknown),
[] ).
cnf(3,axiom,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C)))) = B,
file('GRP119-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(identity,identity) = identity,
file('GRP119-1.p',unknown),
[] ).
cnf(8,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B)))) = A,
inference(para_into,[status(thm),theory(equality)],[3,6]),
[iquote('para_into,3.1.1.2.1.2.1,5.1.1')] ).
cnf(13,plain,
multiply(A,multiply(multiply(A,B),multiply(multiply(C,multiply(C,C)),multiply(multiply(C,multiply(C,C)),multiply(C,multiply(C,C)))))) = multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,C))),
inference(para_into,[status(thm),theory(equality)],[3,3]),
[iquote('para_into,3.1.1.2.1.2,3.1.1')] ).
cnf(14,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,identity))),identity)) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3,6]),6]),
[iquote('para_into,3.1.1.2.2.2,5.1.1,demod,6')] ).
cnf(23,plain,
multiply(A,multiply(multiply(A,B),identity)) = multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity))),
inference(para_into,[status(thm),theory(equality)],[14,14]),
[iquote('para_into,14.1.1.2.1.2,14.1.1')] ).
cnf(24,plain,
multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(B,identity))) = multiply(A,multiply(multiply(A,B),identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[23])]),
[iquote('copy,23,flip.1')] ).
cnf(36,plain,
multiply(identity,multiply(multiply(identity,A),identity)) = multiply(identity,multiply(identity,multiply(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,14]),6,6,6]),
[iquote('para_into,7.1.1.2.1.2,14.1.1,demod,6,6,6')] ).
cnf(37,plain,
multiply(identity,multiply(multiply(identity,A),multiply(multiply(B,multiply(B,B)),multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B)))))) = multiply(identity,multiply(identity,multiply(A,B))),
inference(para_into,[status(thm),theory(equality)],[8,8]),
[iquote('para_into,7.1.1.2.1.2,7.1.1')] ).
cnf(40,plain,
multiply(identity,multiply(identity,multiply(identity,multiply(multiply(A,identity),identity)))) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,6]),6,36,36]),
[iquote('para_into,7.1.1.2.2.2,5.1.1,demod,6,36,36')] ).
cnf(41,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))),multiply(multiply(identity,multiply(identity,multiply(B,C))),multiply(C,multiply(C,C))))))) = identity,
inference(para_from,[status(thm),theory(equality)],[8,3]),
[iquote('para_from,7.1.1,3.1.1.2.1.2.2')] ).
cnf(44,plain,
multiply(identity,multiply(A,multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity))))) = identity,
inference(para_from,[status(thm),theory(equality)],[40,8]),
[iquote('para_from,39.1.1,7.1.1.2.1')] ).
cnf(51,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,A),identity),identity))) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[36,36]),36,36,40])]),
[iquote('para_into,35.1.1.2.1,35.1.1,demod,36,36,40,flip.1')] ).
cnf(60,plain,
multiply(identity,multiply(multiply(multiply(identity,A),identity),identity)) = multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[51,51])]),
[iquote('para_into,51.1.1.2.2.1.1,51.1.1,flip.1')] ).
cnf(62,plain,
multiply(multiply(identity,A),identity) = multiply(identity,multiply(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[51,36]),60,60,40])]),
[iquote('para_into,51.1.1.2.2.1.1,35.1.1,demod,60,60,40,flip.1')] ).
cnf(63,plain,
multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))) = multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B))),
inference(para_into,[status(thm),theory(equality)],[51,8]),
[iquote('para_into,51.1.1.2.2.1.1,7.1.1')] ).
cnf(65,plain,
multiply(identity,multiply(multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B))),identity)) = multiply(A,identity),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[62,8])]),
[iquote('para_into,61.1.1.1,7.1.1,flip.1')] ).
cnf(67,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(identity,multiply(B,identity)))),identity)) = multiply(identity,B),
inference(para_from,[status(thm),theory(equality)],[62,14]),
[iquote('para_from,61.1.1,14.1.1.2.1.2.2')] ).
cnf(115,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),B)),identity)) = multiply(identity,multiply(identity,multiply(identity,multiply(B,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[67,14]),6]),
[iquote('para_into,67.1.1.2.1.2.2,14.1.1,demod,6')] ).
cnf(152,plain,
multiply(identity,multiply(multiply(multiply(multiply(identity,multiply(identity,multiply(A,B))),multiply(B,multiply(B,B))),identity),identity)) = multiply(multiply(A,identity),identity),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[65,62])]),
[iquote('para_from,65.1.1,61.1.1.1,flip.1')] ).
cnf(190,plain,
multiply(identity,multiply(identity,multiply(multiply(identity,multiply(A,multiply(B,multiply(B,B)))),B))) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[13,8]),6,6,6,6])]),
[iquote('para_into,13.1.1,7.1.1,demod,6,6,6,6,flip.1')] ).
cnf(231,plain,
multiply(A,multiply(multiply(multiply(A,A),multiply(multiply(multiply(A,A),multiply(A,A)),multiply(A,B))),multiply(multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B))),multiply(multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B))),multiply(multiply(B,multiply(B,B)),multiply(B,multiply(B,B))))))) = multiply(B,multiply(B,B)),
inference(para_from,[status(thm),theory(equality)],[13,3]),
[iquote('para_from,13.1.1,3.1.1.2.1')] ).
cnf(239,plain,
multiply(identity,multiply(identity,multiply(multiply(multiply(identity,multiply(A,multiply(B,multiply(B,B)))),B),identity))) = multiply(A,identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[190,62]),62])]),
[iquote('para_from,190.1.1,61.1.1.1,demod,62,flip.1')] ).
cnf(243,plain,
multiply(multiply(identity,multiply(A,multiply(B,multiply(B,B)))),B) = multiply(identity,multiply(multiply(A,identity),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[239,8]),6,6])]),
[iquote('para_from,239.1.1,7.1.1.2.1,demod,6,6,flip.1')] ).
cnf(247,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(multiply(A,B),identity)),identity)) = B,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[24,115]),40]),
[iquote('para_from,24.1.1,115.1.1.2.1,demod,40')] ).
cnf(250,plain,
multiply(multiply(A,multiply(multiply(A,A),B)),identity) = multiply(multiply(A,A),multiply(multiply(A,B),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[247,115]),62,62,62,40])]),
[iquote('para_into,247.1.1.2.1.2.1,115.1.1,demod,62,62,62,40,flip.1')] ).
cnf(257,plain,
multiply(A,multiply(multiply(A,A),multiply(multiply(A,B),identity))) = multiply(identity,multiply(identity,multiply(identity,multiply(B,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[115]),250]),
[iquote('back_demod,115,demod,250')] ).
cnf(261,plain,
multiply(multiply(identity,A),multiply(multiply(multiply(identity,A),multiply(identity,A)),multiply(identity,multiply(multiply(A,identity),identity)))) = identity,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[257,62]),62,6,6,6,6]),
[iquote('para_into,257.1.1.2.2.1,61.1.1,demod,62,6,6,6,6')] ).
cnf(263,plain,
multiply(A,multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(A,identity),identity),multiply(multiply(A,identity),identity)))) = identity,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[44,261]),44,44,6,40]),
[iquote('para_from,43.1.1,261.1.1.1,demod,44,44,6,40')] ).
cnf(268,plain,
multiply(multiply(identity,multiply(identity,multiply(multiply(identity,A),B))),multiply(B,multiply(B,B))) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[63,62]),62,40])]),
[iquote('para_into,63.1.1.2.2.1,61.1.1,demod,62,40,flip.1')] ).
cnf(269,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(A,multiply(A,A))) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[63,6]),6,6,6])]),
[iquote('para_into,63.1.1.2.2.1,5.1.1,demod,6,6,6,flip.1')] ).
cnf(271,plain,
multiply(multiply(multiply(identity,multiply(identity,multiply(identity,A))),multiply(identity,multiply(identity,multiply(identity,A)))),A) = multiply(A,multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[269,247]),6,62,62,62,62,62,62,40]),
[iquote('para_from,269.1.1,247.1.1.2.1.2.1,demod,6,62,62,62,62,62,62,40')] ).
cnf(278,plain,
multiply(multiply(A,multiply(A,A)),multiply(multiply(A,multiply(A,A)),multiply(A,multiply(A,A)))) = multiply(identity,A),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[231,243]),6,6,6,6,62,62,62,62,62,62,40]),
[iquote('para_from,231.1.1,243.1.1.1,demod,6,6,6,6,62,62,62,62,62,62,40')] ).
cnf(283,plain,
multiply(identity,multiply(multiply(identity,A),multiply(identity,B))) = multiply(identity,multiply(identity,multiply(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[37]),278]),
[iquote('back_demod,37,demod,278')] ).
cnf(290,plain,
multiply(multiply(identity,A),multiply(identity,B)) = multiply(identity,multiply(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[283,268]),268])]),
[iquote('para_from,283.1.1,267.1.1.1.2.2.1,demod,268,flip.1')] ).
cnf(292,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,A)))),A) = multiply(A,multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[271]),290,290,290]),
[iquote('back_demod,271,demod,290,290,290')] ).
cnf(293,plain,
multiply(identity,multiply(multiply(identity,multiply(identity,multiply(multiply(A,identity),identity))),B)) = multiply(A,multiply(identity,B)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[290,40])]),
[iquote('para_into,289.1.1.1,39.1.1,flip.1')] ).
cnf(297,plain,
multiply(multiply(identity,A),B) = multiply(identity,multiply(A,multiply(identity,multiply(identity,multiply(multiply(B,identity),identity))))),
inference(para_into,[status(thm),theory(equality)],[290,40]),
[iquote('para_into,289.1.1.2,39.1.1')] ).
cnf(316,plain,
multiply(multiply(identity,multiply(A,multiply(identity,B))),multiply(B,multiply(B,B))) = multiply(identity,multiply(multiply(A,identity),identity)),
inference(para_from,[status(thm),theory(equality)],[293,268]),
[iquote('para_from,293.1.1,267.1.1.1.2')] ).
cnf(317,plain,
multiply(multiply(A,multiply(identity,multiply(B,multiply(B,B)))),B) = multiply(multiply(A,identity),identity),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[293,243]),62,62,62,62,40]),
[iquote('para_from,293.1.1,243.1.1.1,demod,62,62,62,62,40')] ).
cnf(323,plain,
multiply(multiply(multiply(A,multiply(identity,multiply(identity,multiply(identity,B)))),identity),identity) = multiply(multiply(multiply(A,identity),identity),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[317,317]),290,290,278])]),
[iquote('para_into,317.1.1.1,317.1.1,demod,290,290,278,flip.1')] ).
cnf(331,plain,
multiply(identity,multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))))) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[297,317]),6,6,290])]),
[iquote('para_into,297.1.1,317.1.1,demod,6,6,290,flip.1')] ).
cnf(343,plain,
multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,multiply(B,B)))),B)) = identity,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[331,41]),290,290,331,290,290,331,290,290,290,290,290,290,278,40]),
[iquote('para_from,330.1.1,41.1.1.2.2.1.1,demod,290,290,331,290,290,331,290,290,290,290,290,290,278,40')] ).
cnf(345,plain,
multiply(identity,multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity)))) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[331,268]),316,6,6,6])]),
[iquote('para_from,330.1.1,267.1.1.1.2.2.1,demod,316,6,6,6,flip.1')] ).
cnf(353,plain,
multiply(A,multiply(multiply(A,identity),multiply(multiply(multiply(A,A),identity),identity))) = identity,
inference(para_into,[status(thm),theory(equality)],[343,263]),
[iquote('para_into,343.1.1.2.1.2,263.1.1')] ).
cnf(359,plain,
multiply(multiply(A,identity),multiply(multiply(multiply(A,A),identity),identity)) = multiply(multiply(A,A),multiply(multiply(A,identity),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[353,247]),6])]),
[iquote('para_from,353.1.1,247.1.1.2.1.2.1,demod,6,flip.1')] ).
cnf(361,plain,
multiply(multiply(A,multiply(A,A)),multiply(identity,multiply(multiply(A,identity),identity))) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[345,268]),316,6,6,6])]),
[iquote('para_from,345.1.1,267.1.1.1.2.2.1,demod,316,6,6,6,flip.1')] ).
cnf(363,plain,
multiply(identity,multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity))) = identity,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[278,361]),290]),
[iquote('para_from,277.1.1,361.1.1.1,demod,290')] ).
cnf(366,plain,
multiply(multiply(A,multiply(identity,multiply(identity,B))),multiply(B,multiply(B,B))) = multiply(multiply(A,identity),identity),
inference(para_from,[status(thm),theory(equality)],[278,317]),
[iquote('para_from,277.1.1,317.1.1.1.2.2')] ).
cnf(373,plain,
multiply(A,multiply(multiply(multiply(A,multiply(A,A)),identity),identity)) = identity,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[363,268]),366,6,6])]),
[iquote('para_from,363.1.1,267.1.1.1.2.2.1,demod,366,6,6,flip.1')] ).
cnf(376,plain,
multiply(multiply(A,multiply(A,A)),identity) = multiply(A,multiply(multiply(A,A),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[373,257]),6,40])]),
[iquote('para_from,373.1.1,257.1.1.2.2.1,demod,6,40,flip.1')] ).
cnf(379,plain,
multiply(multiply(A,A),multiply(multiply(A,multiply(A,multiply(multiply(A,A),identity))),identity)) = multiply(A,A),
inference(para_from,[status(thm),theory(equality)],[376,247]),
[iquote('para_from,375.1.1,247.1.1.2.1.2')] ).
cnf(383,plain,
multiply(multiply(multiply(A,B),identity),identity) = multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[323,63]),8]),
[iquote('para_into,323.1.1.1.1.2.2,63.1.1,demod,8')] ).
cnf(384,plain,
multiply(multiply(multiply(A,identity),identity),multiply(multiply(B,identity),identity)) = multiply(multiply(multiply(A,B),identity),identity),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[383])]),
[iquote('copy,383,flip.1')] ).
cnf(385,plain,
multiply(A,multiply(multiply(multiply(A,identity),identity),multiply(multiply(multiply(A,A),identity),identity))) = identity,
inference(para_from,[status(thm),theory(equality)],[384,263]),
[iquote('para_from,384.1.1,263.1.1.2.2')] ).
cnf(389,plain,
multiply(multiply(identity,multiply(identity,multiply(identity,multiply(A,identity)))),multiply(A,A)) = multiply(A,multiply(A,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[359,323]),62,62,62,62,62,62,62,62,62,40,290,290,290,62,62,62,62,62,62,40,292]),
[iquote('para_into,359.1.1.2,323.1.1,demod,62,62,62,62,62,62,62,62,62,40,290,290,290,62,62,62,62,62,62,40,292')] ).
cnf(394,plain,
multiply(multiply(A,identity),identity) = multiply(A,identity),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[389,152]),152,62,62,62,40]),
[iquote('para_from,389.1.1,151.1.1.2.1.1.1.2.2,demod,152,62,62,62,40')] ).
cnf(399,plain,
multiply(A,multiply(multiply(A,identity),multiply(multiply(A,A),identity))) = identity,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[385]),394,394]),
[iquote('back_demod,385,demod,394,394')] ).
cnf(411,plain,
multiply(multiply(A,identity),multiply(multiply(A,A),identity)) = multiply(multiply(A,A),multiply(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[359]),394,394]),
[iquote('back_demod,359,demod,394,394')] ).
cnf(461,plain,
multiply(multiply(A,A),multiply(A,identity)) = multiply(multiply(A,identity),multiply(multiply(A,A),identity)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[411])]),
[iquote('copy,411,flip.1')] ).
cnf(464,plain,
multiply(multiply(A,A),multiply(A,identity)) = multiply(A,multiply(multiply(A,A),identity)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[394,376]),250,394,376]),
[iquote('para_into,393.1.1.1,375.1.1,demod,250,394,376')] ).
cnf(468,plain,
multiply(multiply(A,identity),multiply(multiply(A,A),identity)) = multiply(A,multiply(multiply(A,A),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[461]),464])]),
[iquote('back_demod,461,demod,464,flip.1')] ).
cnf(482,plain,
multiply(A,multiply(A,multiply(multiply(A,A),identity))) = identity,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[399]),468]),
[iquote('back_demod,399,demod,468')] ).
cnf(484,plain,
multiply(multiply(A,A),identity) = multiply(A,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[379]),482,6]),
[iquote('back_demod,379,demod,482,6')] ).
cnf(485,plain,
multiply(A,multiply(A,multiply(A,A))) = identity,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[482]),484]),
[iquote('back_demod,481,demod,484')] ).
cnf(487,plain,
$false,
inference(binary,[status(thm)],[485,1]),
[iquote('binary,485.1,1.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP119-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n021.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 05:14:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.45/2.69 ----- Otter 3.3f, August 2004 -----
% 2.45/2.69 The process was started by sandbox2 on n021.cluster.edu,
% 2.45/2.69 Wed Jul 27 05:14:53 2022
% 2.45/2.69 The command was "./otter". The process ID is 6506.
% 2.45/2.69
% 2.45/2.69 set(prolog_style_variables).
% 2.45/2.69 set(auto).
% 2.45/2.69 dependent: set(auto1).
% 2.45/2.69 dependent: set(process_input).
% 2.45/2.69 dependent: clear(print_kept).
% 2.45/2.69 dependent: clear(print_new_demod).
% 2.45/2.69 dependent: clear(print_back_demod).
% 2.45/2.69 dependent: clear(print_back_sub).
% 2.45/2.69 dependent: set(control_memory).
% 2.45/2.69 dependent: assign(max_mem, 12000).
% 2.45/2.69 dependent: assign(pick_given_ratio, 4).
% 2.45/2.69 dependent: assign(stats_level, 1).
% 2.45/2.69 dependent: assign(max_seconds, 10800).
% 2.45/2.69 clear(print_given).
% 2.45/2.69
% 2.45/2.69 list(usable).
% 2.45/2.69 0 [] A=A.
% 2.45/2.69 0 [] multiply(Y,multiply(multiply(Y,multiply(multiply(Y,Y),multiply(X,Z))),multiply(Z,multiply(Z,Z))))=X.
% 2.45/2.69 0 [] multiply(identity,identity)=identity.
% 2.45/2.69 0 [] multiply(a,multiply(a,multiply(a,a)))!=identity.
% 2.45/2.69 end_of_list.
% 2.45/2.69
% 2.45/2.69 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 2.45/2.69
% 2.45/2.69 All clauses are units, and equality is present; the
% 2.45/2.69 strategy will be Knuth-Bendix with positive clauses in sos.
% 2.45/2.69
% 2.45/2.69 dependent: set(knuth_bendix).
% 2.45/2.69 dependent: set(anl_eq).
% 2.45/2.69 dependent: set(para_from).
% 2.45/2.69 dependent: set(para_into).
% 2.45/2.69 dependent: clear(para_from_right).
% 2.45/2.69 dependent: clear(para_into_right).
% 2.45/2.69 dependent: set(para_from_vars).
% 2.45/2.69 dependent: set(eq_units_both_ways).
% 2.45/2.69 dependent: set(dynamic_demod_all).
% 2.45/2.69 dependent: set(dynamic_demod).
% 2.45/2.69 dependent: set(order_eq).
% 2.45/2.69 dependent: set(back_demod).
% 2.45/2.69 dependent: set(lrpo).
% 2.45/2.69
% 2.45/2.69 ------------> process usable:
% 2.45/2.69 ** KEPT (pick-wt=9): 1 [] multiply(a,multiply(a,multiply(a,a)))!=identity.
% 2.45/2.69
% 2.45/2.69 ------------> process sos:
% 2.45/2.69 ** KEPT (pick-wt=3): 2 [] A=A.
% 2.45/2.69 ** KEPT (pick-wt=19): 3 [] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C))))=B.
% 2.45/2.69 ---> New Demodulator: 4 [new_demod,3] multiply(A,multiply(multiply(A,multiply(multiply(A,A),multiply(B,C))),multiply(C,multiply(C,C))))=B.
% 2.45/2.69 ** KEPT (pick-wt=5): 5 [] multiply(identity,identity)=identity.
% 2.45/2.69 ---> New Demodulator: 6 [new_demod,5] multiply(identity,identity)=identity.
% 2.45/2.69 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 2.45/2.69 >>>> Starting back demodulation with 4.
% 2.45/2.69 >>>> Starting back demodulation with 6.
% 2.45/2.69
% 2.45/2.69 ======= end of input processing =======
% 2.45/2.69
% 2.45/2.69 =========== start of search ===========
% 2.45/2.69
% 2.45/2.69
% 2.45/2.69 Resetting weight limit to 23.
% 2.45/2.69
% 2.45/2.69
% 2.45/2.69 Resetting weight limit to 23.
% 2.45/2.69
% 2.45/2.69 sos_size=107
% 2.45/2.69 WARNING, demod_limit (given clause 86): 0 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% 9.41/9.62 WARNING, demod_limit stopped the demodulation of a clause.
% 9.41/9.62 This warning will not be repeated.
% 9.41/9.62
% 9.41/9.62
% 9.41/9.62
% 9.41/9.62 Resetting weight limit to 21.
% 9.41/9.62
% 9.41/9.62 iply(E,multiply(E,E))),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(identity,E))),multiply(E,multiply(E,E))),multiply(multiply(C,multiply(multiply(C,C),multiply(identity,E))),multiply(E,multiply(E,E))))),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(identity,E))),multiply(E,multiply(E,E))),multiply(multiply(multiply(C,multiply(multiply(C,C),multiply(identity,E))),multiply(E,multiply(E,E))),multiply(multiply(C,multiply(multiply(C,C),multiply(identity,E))),multiply(E,multiply(E,E)))))),multiply(D,F))),multiply(F,multiply(F,F)))))))))))))=identity.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62 WARNING, demod_limit.
% 9.41/9.62
% 9.41/9.62 Resetting weight limit to 21.
% 9.41/9.62
% 9.41/9.62 sos_size=44
% 9.41/9.62
% 9.41/9.62 -------- PROOF --------
% 9.41/9.62
% 9.41/9.62 ----> UNIT CONFLICT at 7.70 sec ----> 487 [binary,485.1,1.1] $F.
% 9.41/9.62
% 9.41/9.62 Length of proof is 63. Level of proof is 25.
% 9.41/9.62
% 9.41/9.62 ---------------- PROOF ----------------
% 9.41/9.62 % SZS status Unsatisfiable
% 9.41/9.62 % SZS output start Refutation
% See solution above
% 9.41/9.62 ------------ end of proof -------------
% 9.41/9.62
% 9.41/9.62
% 9.41/9.62 Search stopped by max_proofs option.
% 9.41/9.62
% 9.41/9.62
% 9.41/9.62 Search stopped by max_proofs option.
% 9.41/9.62
% 9.41/9.62 ============ end of search ============
% 9.41/9.62
% 9.41/9.62 -------------- statistics -------------
% 9.41/9.62 clauses given 130
% 9.41/9.62 clauses generated 29606
% 9.41/9.62 clauses kept 278
% 9.41/9.62 clauses forward subsumed 4985
% 9.41/9.62 clauses back subsumed 0
% 9.41/9.62 Kbytes malloced 7812
% 9.41/9.62
% 9.41/9.62 ----------- times (seconds) -----------
% 9.41/9.62 user CPU time 7.70 (0 hr, 0 min, 7 sec)
% 9.41/9.62 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 9.41/9.62 wall-clock time 9 (0 hr, 0 min, 9 sec)
% 9.41/9.62
% 9.41/9.62 That finishes the proof of the theorem.
% 9.41/9.62
% 9.41/9.62 Process 6506 finished Wed Jul 27 05:15:02 2022
% 9.41/9.62 Otter interrupted
% 9.41/9.62 PROOF FOUND
%------------------------------------------------------------------------------