TSTP Solution File: LAT022-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT022-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:01:48 EDT 2022
% Result : Unsatisfiable 6.03s 6.19s
% Output : Refutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of clauses : 154 ( 154 unt; 0 nHn; 4 RR)
% Number of literals : 154 ( 153 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 430 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('LAT022-1.p',unknown),
[] ).
cnf(4,axiom,
meet(A,A) = A,
file('LAT022-1.p',unknown),
[] ).
cnf(6,axiom,
join(A,A) = A,
file('LAT022-1.p',unknown),
[] ).
cnf(7,axiom,
meet(A,B) = meet(B,A),
file('LAT022-1.p',unknown),
[] ).
cnf(8,axiom,
join(A,B) = join(B,A),
file('LAT022-1.p',unknown),
[] ).
cnf(10,axiom,
meet(meet(A,B),C) = meet(A,meet(B,C)),
file('LAT022-1.p',unknown),
[] ).
cnf(12,axiom,
join(join(A,B),C) = join(A,join(B,C)),
file('LAT022-1.p',unknown),
[] ).
cnf(13,axiom,
join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)),
file('LAT022-1.p',unknown),
[] ).
cnf(15,axiom,
meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)),
file('LAT022-1.p',unknown),
[] ).
cnf(17,axiom,
join(meet(A,B),meet(C,join(A,B))) = meet(join(A,B),join(C,meet(A,B))),
file('LAT022-1.p',unknown),
[] ).
cnf(21,plain,
meet(a,join(meet(a,c),b)) != join(meet(a,b),meet(a,c)),
inference(para_from,[status(thm),theory(equality)],[8,1]),
[iquote('para_from,8.1.1,1.1.1.2')] ).
cnf(22,plain,
meet(A,meet(B,C)) = meet(B,meet(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[10,7]),10]),
[iquote('para_into,9.1.1.1,7.1.1,demod,10')] ).
cnf(24,plain,
meet(A,meet(A,B)) = meet(A,B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[10,4])]),
[iquote('para_into,9.1.1.1,3.1.1,flip.1')] ).
cnf(25,plain,
meet(A,meet(B,C)) = meet(B,meet(C,A)),
inference(para_into,[status(thm),theory(equality)],[10,7]),
[iquote('para_into,9.1.1,7.1.1')] ).
cnf(28,plain,
meet(A,meet(B,C)) = meet(C,meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[25])]),
[iquote('copy,25,flip.1')] ).
cnf(32,plain,
meet(A,meet(B,A)) = meet(A,B),
inference(para_into,[status(thm),theory(equality)],[24,7]),
[iquote('para_into,23.1.1.2,7.1.1')] ).
cnf(33,plain,
meet(A,meet(B,meet(C,A))) = meet(A,meet(B,C)),
inference(para_into,[status(thm),theory(equality)],[32,10]),
[iquote('para_into,31.1.1.2,9.1.1')] ).
cnf(36,plain,
meet(A,meet(B,meet(A,C))) = meet(A,meet(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[32,10]),10,10])]),
[iquote('para_from,31.1.1,9.1.1.1,demod,10,10,flip.1')] ).
cnf(37,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[12,8]),12]),
[iquote('para_into,11.1.1.1,8.1.1,demod,12')] ).
cnf(39,plain,
join(A,join(A,B)) = join(A,B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[12,6])]),
[iquote('para_into,11.1.1.1,5.1.1,flip.1')] ).
cnf(40,plain,
join(A,join(B,C)) = join(B,join(C,A)),
inference(para_into,[status(thm),theory(equality)],[12,8]),
[iquote('para_into,11.1.1,8.1.1')] ).
cnf(43,plain,
join(A,join(B,C)) = join(C,join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[40])]),
[iquote('copy,40,flip.1')] ).
cnf(47,plain,
join(A,join(B,A)) = join(A,B),
inference(para_into,[status(thm),theory(equality)],[39,8]),
[iquote('para_into,38.1.1.2,8.1.1')] ).
cnf(48,plain,
join(meet(A,join(B,join(C,D))),meet(A,join(B,C))) = meet(A,join(B,join(C,D))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[13,12]),12]),
[iquote('para_into,13.1.1.1.2,11.1.1,demod,12')] ).
cnf(50,plain,
join(meet(A,join(B,C)),meet(A,C)) = meet(A,join(C,B)),
inference(para_into,[status(thm),theory(equality)],[13,8]),
[iquote('para_into,13.1.1.1.2,8.1.1')] ).
cnf(54,plain,
join(A,join(B,meet(join(A,B),A))) = join(A,B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[13,4]),12,4]),
[iquote('para_into,13.1.1.1,3.1.1,demod,12,4')] ).
cnf(60,plain,
join(meet(A,join(B,C)),meet(B,A)) = meet(A,join(B,C)),
inference(para_into,[status(thm),theory(equality)],[13,7]),
[iquote('para_into,13.1.1.2,7.1.1')] ).
cnf(65,plain,
join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)),
inference(para_into,[status(thm),theory(equality)],[13,8]),
[iquote('para_into,13.1.1,8.1.1')] ).
cnf(73,plain,
join(A,join(B,join(A,C))) = join(A,join(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[47,12]),12,12])]),
[iquote('para_from,46.1.1,11.1.1.1,demod,12,12,flip.1')] ).
cnf(76,plain,
meet(A,meet(B,C)) = meet(A,meet(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[22,7]),10]),
[iquote('para_into,22.1.1,7.1.1,demod,10')] ).
cnf(82,plain,
meet(A,meet(B,C)) = meet(C,meet(B,A)),
inference(para_into,[status(thm),theory(equality)],[25,7]),
[iquote('para_into,25.1.1.2,7.1.1')] ).
cnf(101,plain,
meet(join(A,meet(B,C)),join(A,C)) = join(A,meet(C,B)),
inference(para_into,[status(thm),theory(equality)],[15,7]),
[iquote('para_into,15.1.1.1.2,7.1.1')] ).
cnf(107,plain,
meet(join(meet(A,B),C),join(C,A)) = join(C,meet(A,B)),
inference(para_into,[status(thm),theory(equality)],[15,8]),
[iquote('para_into,15.1.1.1,8.1.1')] ).
cnf(114,plain,
meet(join(A,meet(join(A,B),C)),join(A,B)) = join(A,meet(join(A,B),C)),
inference(para_into,[status(thm),theory(equality)],[15,39]),
[iquote('para_into,15.1.1.2,38.1.1')] ).
cnf(117,plain,
meet(join(A,meet(B,C)),join(B,A)) = join(A,meet(B,C)),
inference(para_into,[status(thm),theory(equality)],[15,8]),
[iquote('para_into,15.1.1.2,8.1.1')] ).
cnf(121,plain,
meet(join(A,B),join(A,meet(B,C))) = join(A,meet(B,C)),
inference(para_into,[status(thm),theory(equality)],[15,7]),
[iquote('para_into,15.1.1,7.1.1')] ).
cnf(135,plain,
join(A,join(B,C)) = join(A,join(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[37,8]),12]),
[iquote('para_into,37.1.1,8.1.1,demod,12')] ).
cnf(144,plain,
join(A,join(B,C)) = join(C,join(B,A)),
inference(para_into,[status(thm),theory(equality)],[40,8]),
[iquote('para_into,40.1.1.2,8.1.1')] ).
cnf(181,plain,
join(A,meet(B,A)) = meet(A,join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[17,4]),6,6,4]),
[iquote('para_into,17.1.1.1,3.1.1,demod,6,6,4')] ).
cnf(182,plain,
join(meet(A,join(B,A)),meet(C,join(A,B))) = meet(join(A,B),join(C,meet(A,join(B,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[17,47]),47]),
[iquote('para_into,17.1.1.2.2,46.1.1,demod,47')] ).
cnf(237,plain,
join(meet(A,join(meet(B,C),D)),meet(C,meet(B,A))) = meet(A,join(meet(B,C),D)),
inference(para_from,[status(thm),theory(equality)],[82,13]),
[iquote('para_from,82.1.1,13.1.1.2')] ).
cnf(254,plain,
join(meet(A,join(B,join(C,D))),meet(A,D)) = meet(A,join(D,join(C,B))),
inference(para_from,[status(thm),theory(equality)],[144,13]),
[iquote('para_from,144.1.1,13.1.1.1.2')] ).
cnf(260,plain,
meet(A,meet(B,join(B,meet(A,B)))) = join(meet(A,B),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[181,32]),10])]),
[iquote('para_into,181.1.1.2,31.1.1,demod,10,flip.1')] ).
cnf(264,plain,
meet(A,meet(B,join(C,meet(A,B)))) = join(meet(A,B),meet(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[181,25]),10])]),
[iquote('para_into,181.1.1.2,25.1.1,demod,10,flip.1')] ).
cnf(265,plain,
meet(join(A,B),join(A,join(meet(B,C),B))) = join(A,join(B,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[181,15]),12,73,12,73])]),
[iquote('para_into,181.1.1.2,15.1.1,demod,12,73,12,73,flip.1')] ).
cnf(269,plain,
meet(A,join(B,A)) = join(A,meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[181,7])]),
[iquote('para_into,181.1.1.2,7.1.1,flip.1')] ).
cnf(277,plain,
join(meet(A,B),meet(B,A)) = meet(A,B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[260]),264,4,6])]),
[iquote('back_demod,260,demod,264,4,6,flip.1')] ).
cnf(284,plain,
join(A,join(meet(A,B),meet(C,join(A,B)))) = meet(join(A,B),join(C,join(A,meet(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[182]),269,12,269]),
[iquote('back_demod,182,demod,269,12,269')] ).
cnf(294,plain,
meet(join(A,B),join(B,A)) = join(A,join(B,meet(join(A,B),B))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[269,47]),12]),
[iquote('para_into,268.1.1.2,46.1.1,demod,12')] ).
cnf(299,plain,
meet(join(A,B),join(A,join(B,C))) = join(A,join(B,meet(join(A,B),C))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[269,40]),12]),
[iquote('para_into,268.1.1.2,40.1.1,demod,12')] ).
cnf(301,plain,
meet(join(A,B),join(A,join(C,B))) = join(A,join(B,meet(join(A,B),C))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[269,37]),12]),
[iquote('para_into,268.1.1.2,37.1.1,demod,12')] ).
cnf(307,plain,
meet(A,join(A,B)) = join(A,meet(A,B)),
inference(para_into,[status(thm),theory(equality)],[269,8]),
[iquote('para_into,268.1.1.2,8.1.1')] ).
cnf(309,plain,
meet(join(A,B),B) = join(B,meet(B,A)),
inference(para_into,[status(thm),theory(equality)],[269,7]),
[iquote('para_into,268.1.1,7.1.1')] ).
cnf(313,plain,
join(A,join(B,meet(join(A,B),meet(B,C)))) = join(A,join(B,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[265]),301]),
[iquote('back_demod,265,demod,301')] ).
cnf(314,plain,
meet(join(A,B),join(B,A)) = join(A,join(B,meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[294]),309,39]),
[iquote('back_demod,294,demod,309,39')] ).
cnf(318,plain,
meet(A,join(B,meet(B,C))) = meet(join(C,B),meet(B,A)),
inference(para_from,[status(thm),theory(equality)],[269,82]),
[iquote('para_from,268.1.1,82.1.1.2')] ).
cnf(319,plain,
meet(A,join(B,meet(B,C))) = meet(join(C,B),meet(A,B)),
inference(para_from,[status(thm),theory(equality)],[269,28]),
[iquote('para_from,268.1.1,28.1.1.2')] ).
cnf(320,plain,
meet(A,join(B,meet(B,C))) = meet(B,meet(join(C,B),A)),
inference(para_from,[status(thm),theory(equality)],[269,25]),
[iquote('para_from,268.1.1,25.1.1.2')] ).
cnf(327,plain,
meet(join(A,meet(A,B)),C) = meet(A,meet(join(B,A),C)),
inference(para_from,[status(thm),theory(equality)],[269,10]),
[iquote('para_from,268.1.1,9.1.1.1')] ).
cnf(386,plain,
join(A,meet(B,C)) = join(meet(C,B),join(meet(B,C),A)),
inference(para_from,[status(thm),theory(equality)],[277,144]),
[iquote('para_from,276.1.1,144.1.1.2')] ).
cnf(387,plain,
join(A,meet(B,C)) = join(A,meet(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[277,135]),277]),
[iquote('para_from,276.1.1,135.1.1.2,demod,277')] ).
cnf(394,plain,
join(meet(A,B),join(meet(B,A),C)) = join(meet(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[277,12])]),
[iquote('para_from,276.1.1,11.1.1.1,flip.1')] ).
cnf(395,plain,
join(meet(A,B),C) = join(C,meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[386])]),394]),
[iquote('copy,386,flip.1,demod,394')] ).
cnf(396,plain,
join(A,meet(B,C)) = join(meet(C,B),A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[386]),394]),
[iquote('back_demod,386,demod,394')] ).
cnf(400,plain,
meet(A,join(B,join(A,C))) = join(A,meet(A,join(B,C))),
inference(para_into,[status(thm),theory(equality)],[307,37]),
[iquote('para_into,306.1.1.2,37.1.1')] ).
cnf(406,plain,
meet(join(A,B),A) = join(A,meet(A,B)),
inference(para_into,[status(thm),theory(equality)],[307,7]),
[iquote('para_into,306.1.1,7.1.1')] ).
cnf(413,plain,
join(A,join(B,meet(A,B))) = join(A,B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[54]),406,73]),
[iquote('back_demod,54,demod,406,73')] ).
cnf(461,plain,
join(A,join(B,meet(C,D))) = join(meet(D,C),join(A,B)),
inference(para_from,[status(thm),theory(equality)],[387,43]),
[iquote('para_from,387.1.1,43.1.1.2')] ).
cnf(495,plain,
join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[396,13])]),
[iquote('para_into,396.1.1,13.1.1,flip.1')] ).
cnf(500,plain,
meet(join(meet(A,B),C),join(C,B)) = join(C,meet(B,A)),
inference(para_from,[status(thm),theory(equality)],[396,15]),
[iquote('para_from,396.1.1,15.1.1.1')] ).
cnf(527,plain,
join(A,join(B,meet(B,A))) = join(A,B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[413,309]),39,12,39,12,6]),
[iquote('para_into,413.1.1.2.2,308.1.1,demod,39,12,39,12,6')] ).
cnf(546,plain,
join(A,join(meet(A,B),B)) = join(A,B),
inference(para_into,[status(thm),theory(equality)],[413,8]),
[iquote('para_into,413.1.1.2,8.1.1')] ).
cnf(550,plain,
join(meet(A,B),join(B,A)) = join(A,B),
inference(para_into,[status(thm),theory(equality)],[413,144]),
[iquote('para_into,413.1.1,144.1.1')] ).
cnf(552,plain,
join(meet(A,B),join(A,B)) = join(A,B),
inference(para_into,[status(thm),theory(equality)],[413,43]),
[iquote('para_into,413.1.1,43.1.1')] ).
cnf(557,plain,
meet(join(A,B),join(B,A)) = join(A,B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[314]),527]),
[iquote('back_demod,314,demod,527')] ).
cnf(587,plain,
join(meet(A,B),join(C,meet(C,meet(B,A)))) = join(meet(A,B),C),
inference(para_into,[status(thm),theory(equality)],[527,76]),
[iquote('para_into,526.1.1.2.2,76.1.1')] ).
cnf(608,plain,
meet(A,meet(B,join(A,meet(A,C)))) = meet(A,meet(B,join(A,C))),
inference(para_into,[status(thm),theory(equality)],[33,406]),
[iquote('para_into,33.1.1.2.2,405.1.1')] ).
cnf(611,plain,
meet(join(A,B),meet(C,join(A,meet(A,B)))) = meet(join(A,B),meet(C,A)),
inference(para_into,[status(thm),theory(equality)],[33,307]),
[iquote('para_into,33.1.1.2.2,306.1.1')] ).
cnf(681,plain,
join(meet(A,meet(B,C)),join(C,meet(B,A))) = join(meet(A,B),C),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[546,395]),10,12]),
[iquote('para_into,546.1.1,395.1.1,demod,10,12')] ).
cnf(770,plain,
join(meet(A,join(B,C)),join(B,join(A,C))) = join(A,join(B,C)),
inference(para_into,[status(thm),theory(equality)],[552,37]),
[iquote('para_into,552.1.1.2,37.1.1')] ).
cnf(815,plain,
meet(join(A,B),meet(C,join(B,A))) = meet(join(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[557,36]),32])]),
[iquote('para_from,556.1.1,35.1.1.2.2,demod,32,flip.1')] ).
cnf(816,plain,
meet(A,join(B,C)) = meet(join(C,B),meet(join(B,C),A)),
inference(para_from,[status(thm),theory(equality)],[557,82]),
[iquote('para_from,556.1.1,82.1.1.2')] ).
cnf(817,plain,
meet(A,join(B,C)) = meet(A,join(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[557,76]),557]),
[iquote('para_from,556.1.1,76.1.1.2,demod,557')] ).
cnf(818,plain,
meet(A,join(B,C)) = meet(join(C,B),A),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[557,28]),815]),
[iquote('para_from,556.1.1,28.1.1.2,demod,815')] ).
cnf(821,plain,
meet(join(A,B),meet(join(B,A),C)) = meet(join(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[557,10])]),
[iquote('para_from,556.1.1,9.1.1.1,flip.1')] ).
cnf(822,plain,
meet(join(A,B),C) = meet(C,join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[816])]),821]),
[iquote('copy,816,flip.1,demod,821')] ).
cnf(848,plain,
meet(A,meet(B,join(C,D))) = meet(B,meet(join(D,C),A)),
inference(para_from,[status(thm),theory(equality)],[817,25]),
[iquote('para_from,817.1.1,25.1.1.2')] ).
cnf(867,plain,
meet(A,join(meet(B,C),D)) = meet(join(meet(C,B),D),A),
inference(para_into,[status(thm),theory(equality)],[818,396]),
[iquote('para_into,818.1.1.2,396.1.1')] ).
cnf(874,plain,
meet(join(A,B),join(B,meet(A,C))) = join(B,meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[818,15])]),
[iquote('para_into,818.1.1,15.1.1,flip.1')] ).
cnf(878,plain,
meet(join(meet(A,B),C),D) = meet(D,join(meet(B,A),C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[867])]),
[iquote('copy,867,flip.1')] ).
cnf(906,plain,
meet(join(A,join(B,C)),D) = meet(D,join(C,join(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[822,43]),12]),
[iquote('para_into,822.1.1.1,43.1.1,demod,12')] ).
cnf(910,plain,
meet(join(A,B),join(meet(B,C),A)) = join(A,meet(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[822,15])]),
[iquote('para_into,822.1.1,15.1.1,flip.1')] ).
cnf(911,plain,
meet(A,join(B,join(C,D))) = meet(join(C,join(D,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[906])]),
[iquote('copy,906,flip.1')] ).
cnf(913,plain,
join(meet(A,join(B,C)),meet(A,join(C,B))) = meet(A,join(B,C)),
inference(para_from,[status(thm),theory(equality)],[822,277]),
[iquote('para_from,822.1.1,276.1.1.2')] ).
cnf(1102,plain,
join(meet(A,join(B,C)),meet(C,A)) = meet(A,join(C,B)),
inference(para_into,[status(thm),theory(equality)],[50,7]),
[iquote('para_into,50.1.1.2,7.1.1')] ).
cnf(1153,plain,
join(meet(A,join(B,C)),meet(A,C)) = meet(A,join(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[50,39]),913])]),
[iquote('para_from,50.1.1,38.1.1.2,demod,913,flip.1')] ).
cnf(1420,plain,
join(meet(A,B),meet(A,meet(B,join(A,C)))) = meet(A,meet(B,join(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[60,269]),10,24,10,24])]),
[iquote('para_from,60.1.1,268.1.1.2,demod,10,24,10,24,flip.1')] ).
cnf(1451,plain,
join(meet(A,B),meet(A,join(meet(B,A),C))) = meet(A,join(meet(B,A),C)),
inference(para_into,[status(thm),theory(equality)],[65,32]),
[iquote('para_into,64.1.1.1,31.1.1')] ).
cnf(1457,plain,
join(meet(A,B),meet(A,join(meet(A,B),C))) = meet(A,join(meet(A,B),C)),
inference(para_into,[status(thm),theory(equality)],[65,24]),
[iquote('para_into,64.1.1.1,23.1.1')] ).
cnf(1930,plain,
meet(join(A,B),join(A,meet(C,B))) = join(A,meet(B,C)),
inference(para_into,[status(thm),theory(equality)],[101,7]),
[iquote('para_into,101.1.1,7.1.1')] ).
cnf(1935,plain,
meet(join(A,B),join(meet(A,C),B)) = join(B,meet(A,C)),
inference(para_into,[status(thm),theory(equality)],[107,818]),
[iquote('para_into,107.1.1,818.1.1')] ).
cnf(1937,plain,
meet(join(meet(A,B),C),join(B,C)) = join(C,meet(B,A)),
inference(para_into,[status(thm),theory(equality)],[117,396]),
[iquote('para_into,117.1.1.1,396.1.1')] ).
cnf(1938,plain,
meet(A,meet(join(B,C),join(A,B))) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[117,65]),10,608,65]),
[iquote('para_into,117.1.1.1,64.1.1,demod,10,608,65')] ).
cnf(1952,plain,
meet(join(meet(A,B),A),C) = meet(join(B,A),meet(A,C)),
inference(para_into,[status(thm),theory(equality)],[318,818]),
[iquote('para_into,318.1.1,818.1.1')] ).
cnf(1954,plain,
meet(join(A,B),meet(B,A)) = meet(B,A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[318,269]),10,32,6,24])]),
[iquote('para_into,318.1.1,268.1.1,demod,10,32,6,24,flip.1')] ).
cnf(1963,plain,
meet(A,join(B,meet(B,A))) = meet(A,B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1954,527]),327,406,611,1954,327,406])]),
[iquote('para_into,1953.1.1.1,526.1.1,demod,327,406,611,1954,327,406,flip.1')] ).
cnf(2023,plain,
meet(A,join(meet(A,B),B)) = meet(A,B),
inference(para_into,[status(thm),theory(equality)],[1963,396]),
[iquote('para_into,1962.1.1.2,396.1.1')] ).
cnf(2047,plain,
meet(A,join(meet(A,join(B,C)),B)) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2023,48]),1457,2023]),
[iquote('para_from,2022.1.1,48.1.1.1,demod,1457,2023')] ).
cnf(2081,plain,
meet(A,join(meet(B,C),C)) = meet(C,meet(join(B,C),A)),
inference(para_into,[status(thm),theory(equality)],[320,396]),
[iquote('para_into,320.1.1.2,396.1.1')] ).
cnf(2082,plain,
meet(A,join(meet(B,C),B)) = meet(B,meet(join(C,B),A)),
inference(para_into,[status(thm),theory(equality)],[320,8]),
[iquote('para_into,320.1.1.2,8.1.1')] ).
cnf(2084,plain,
meet(A,meet(join(B,A),C)) = meet(C,join(meet(B,A),A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2081])]),
[iquote('copy,2081,flip.1')] ).
cnf(2085,plain,
meet(A,meet(join(B,A),C)) = meet(C,join(meet(A,B),A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2082])]),
[iquote('copy,2082,flip.1')] ).
cnf(2095,plain,
meet(join(meet(A,B),B),C) = meet(B,meet(join(A,B),C)),
inference(para_into,[status(thm),theory(equality)],[327,396]),
[iquote('para_into,326.1.1.1,396.1.1')] ).
cnf(2124,plain,
join(meet(A,B),meet(join(C,A),B)) = meet(B,join(A,C)),
inference(para_into,[status(thm),theory(equality)],[495,818]),
[iquote('para_into,494.1.1.2,818.1.1')] ).
cnf(2125,plain,
meet(A,join(B,C)) = join(meet(B,A),meet(join(C,B),A)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2124])]),
[iquote('copy,2124,flip.1')] ).
cnf(2126,plain,
meet(A,meet(join(B,A),join(B,C))) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[495,121]),2095,36,495]),
[iquote('para_from,494.1.1,121.1.1.2,demod,2095,36,495')] ).
cnf(2140,plain,
join(A,meet(B,join(C,meet(C,A)))) = join(A,meet(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[910,237]),269,12,495,910]),
[iquote('para_from,909.1.1,237.1.1.1,demod,269,12,495,910')] ).
cnf(2142,plain,
join(A,meet(B,meet(C,join(B,A)))) = join(A,meet(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1102,874]),10,12,1420,1935]),
[iquote('para_into,1102.1.1.1,874.1.1,demod,10,12,1420,1935')] ).
cnf(2145,plain,
join(A,meet(B,join(meet(C,B),A))) = join(A,meet(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1102,500]),12,1451,1937]),
[iquote('para_into,1102.1.1.1,500.1.1,demod,12,1451,1937')] ).
cnf(2150,plain,
join(meet(A,join(B,C)),meet(C,A)) = meet(A,join(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1102,39]),913])]),
[iquote('para_from,1102.1.1,38.1.1.2,demod,913,flip.1')] ).
cnf(2242,plain,
meet(join(A,B),join(C,meet(C,A))) = meet(join(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1938,36]),32,307])]),
[iquote('para_from,1938.1.1,35.1.1.2,demod,32,307,flip.1')] ).
cnf(2250,plain,
meet(A,join(meet(A,join(B,C)),C)) = meet(A,join(C,B)),
inference(para_into,[status(thm),theory(equality)],[2047,8]),
[iquote('para_into,2047.1.1.2.1.2,8.1.1')] ).
cnf(2252,plain,
meet(A,join(meet(join(B,C),A),C)) = meet(A,join(C,B)),
inference(para_into,[status(thm),theory(equality)],[2047,818]),
[iquote('para_into,2047.1.1.2.1,818.1.1')] ).
cnf(2279,plain,
join(meet(A,B),meet(join(C,A),B)) = meet(join(C,A),B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2125,818])]),
[iquote('para_into,2125.1.1,818.1.1,flip.1')] ).
cnf(2281,plain,
meet(join(A,B),meet(join(C,A),B)) = meet(B,join(A,C)),
inference(para_into,[status(thm),theory(equality)],[2126,848]),
[iquote('para_into,2126.1.1,848.1.1')] ).
cnf(2286,plain,
join(A,meet(B,join(meet(C,A),C))) = join(A,meet(C,B)),
inference(para_into,[status(thm),theory(equality)],[2140,8]),
[iquote('para_into,2140.1.1.2.2,8.1.1')] ).
cnf(2300,plain,
join(A,meet(join(A,B),meet(C,B))) = join(A,meet(B,C)),
inference(para_into,[status(thm),theory(equality)],[2140,319]),
[iquote('para_into,2140.1.1.2,319.1.1')] ).
cnf(2313,plain,
join(meet(A,join(B,meet(B,C))),C) = join(meet(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2140,550]),10,327,406,1963,681])]),
[iquote('para_from,2140.1.1,550.1.1.2,demod,10,327,406,1963,681,flip.1')] ).
cnf(2316,plain,
join(meet(A,B),join(C,meet(C,B))) = join(meet(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2142,1930]),307,587,307])]),
[iquote('para_into,2142.1.1.2.2,1930.1.1,demod,307,587,307,flip.1')] ).
cnf(2340,plain,
join(meet(join(meet(A,B),C),B),C) = join(C,meet(B,A)),
inference(para_into,[status(thm),theory(equality)],[2145,396]),
[iquote('para_into,2144.1.1,396.1.1')] ).
cnf(2350,plain,
meet(A,join(B,join(C,meet(C,A)))) = meet(join(B,C),A),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2150,1937]),12,10,299,313,2279]),
[iquote('para_from,2150.1.1,1936.1.1.1,demod,12,10,299,313,2279')] ).
cnf(2404,plain,
meet(join(A,B),join(meet(C,A),C)) = meet(join(A,B),C),
inference(para_into,[status(thm),theory(equality)],[2242,8]),
[iquote('para_into,2242.1.1.2,8.1.1')] ).
cnf(2408,plain,
meet(A,meet(join(B,A),C)) = meet(C,meet(join(B,C),A)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2242,2085]),327,2404]),
[iquote('para_from,2242.1.1,2085.1.1.2,demod,327,2404')] ).
cnf(2411,plain,
meet(join(meet(join(A,B),C),B),C) = meet(C,join(B,A)),
inference(para_into,[status(thm),theory(equality)],[2250,867]),
[iquote('para_into,2250.1.1,867.1.1')] ).
cnf(2432,plain,
join(meet(A,join(meet(B,C),B)),C) = join(meet(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2286,550]),10,1952,1954,681])]),
[iquote('para_from,2286.1.1,550.1.1.2,demod,10,1952,1954,681,flip.1')] ).
cnf(2441,plain,
join(meet(A,B),join(meet(C,A),B)) = join(meet(C,A),B),
inference(para_into,[status(thm),theory(equality)],[2316,461]),
[iquote('para_into,2316.1.1,461.1.1')] ).
cnf(2455,plain,
meet(join(A,join(meet(A,B),C)),B) = meet(join(C,A),B),
inference(para_into,[status(thm),theory(equality)],[2350,911]),
[iquote('para_into,2350.1.1,911.1.1')] ).
cnf(2464,plain,
meet(join(A,join(B,meet(B,C))),C) = meet(join(A,B),C),
inference(para_into,[status(thm),theory(equality)],[2350,7]),
[iquote('para_into,2350.1.1,7.1.1')] ).
cnf(2478,plain,
meet(A,join(B,join(meet(B,A),C))) = meet(A,join(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2350,2252]),2464,2411,12])]),
[iquote('para_from,2350.1.1,2252.1.1,demod,2464,2411,12,flip.1')] ).
cnf(2505,plain,
meet(A,meet(join(B,A),C)) = meet(A,join(meet(B,C),C)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2408,2084])]),
[iquote('para_into,2408.1.1,2084.1.1,flip.1')] ).
cnf(2525,plain,
meet(A,join(B,join(C,meet(B,A)))) = meet(A,join(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2432,254]),2300,1153]),
[iquote('para_into,2432.1.1,254.1.1,demod,2300,1153')] ).
cnf(2558,plain,
meet(join(meet(A,join(B,C)),B),C) = meet(C,join(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2455,284]),10,2464,2281])]),
[iquote('para_into,2455.1.1.1,284.1.1,demod,10,2464,2281,flip.1')] ).
cnf(2561,plain,
meet(A,join(B,meet(C,join(B,A)))) = meet(A,join(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2478,284]),2505,400,12,770,39,2525])]),
[iquote('para_into,2478.1.1.2,284.1.1,demod,2505,400,12,770,39,2525,flip.1')] ).
cnf(2596,plain,
meet(join(A,meet(join(A,B),C)),B) = meet(B,join(C,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2558,2340]),47,2561]),
[iquote('para_into,2558.1.1.1,2340.1.1,demod,47,2561')] ).
cnf(2605,plain,
meet(A,join(meet(join(B,A),C),B)) = meet(A,join(B,C)),
inference(para_into,[status(thm),theory(equality)],[2558,878]),
[iquote('para_into,2558.1.1,878.1.1')] ).
cnf(2616,plain,
meet(join(A,B),join(C,A)) = join(A,meet(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2596,39]),114])]),
[iquote('para_into,2595.1.1.1.2.1,38.1.1,demod,114,flip.1')] ).
cnf(2622,plain,
meet(join(A,B),join(A,C)) = join(A,meet(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2605,39]),2616,24])]),
[iquote('para_into,2605.1.1.2.1.1,38.1.1,demod,2616,24,flip.1')] ).
cnf(2625,plain,
join(A,meet(join(A,B),C)) = join(A,meet(B,join(C,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[114]),2622,2596])]),
[iquote('back_demod,113,demod,2622,2596,flip.1')] ).
cnf(2629,plain,
meet(join(A,B),join(A,C)) = join(A,meet(B,join(C,A))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2622]),2625]),
[iquote('back_demod,2621,demod,2625')] ).
cnf(2656,plain,
join(meet(join(meet(A,B),C),A),B) = join(meet(C,A),B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2629,2432]),12,2313,2441])]),
[iquote('para_from,2629.1.1,2432.1.1.1,demod,12,2313,2441,flip.1')] ).
cnf(2692,plain,
join(A,meet(B,join(meet(B,A),C))) = join(A,meet(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2656,2145]),2145])]),
[iquote('para_from,2656.1.1,2144.1.1.2.2,demod,2145,flip.1')] ).
cnf(2713,plain,
meet(A,join(meet(A,B),C)) = join(meet(A,B),meet(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2692,24]),1457]),
[iquote('para_into,2692.1.1.2.2.1,23.1.1,demod,1457')] ).
cnf(2714,plain,
join(meet(a,c),meet(a,b)) != join(meet(a,b),meet(a,c)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[21]),2713]),
[iquote('back_demod,21,demod,2713')] ).
cnf(2715,plain,
$false,
inference(binary,[status(thm)],[2714,8]),
[iquote('binary,2714.1,8.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT022-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 08:20:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.03/6.19 ----- Otter 3.3f, August 2004 -----
% 6.03/6.19 The process was started by sandbox2 on n029.cluster.edu,
% 6.03/6.19 Wed Jul 27 08:20:14 2022
% 6.03/6.19 The command was "./otter". The process ID is 15707.
% 6.03/6.19
% 6.03/6.19 set(prolog_style_variables).
% 6.03/6.19 set(auto).
% 6.03/6.19 dependent: set(auto1).
% 6.03/6.19 dependent: set(process_input).
% 6.03/6.19 dependent: clear(print_kept).
% 6.03/6.19 dependent: clear(print_new_demod).
% 6.03/6.19 dependent: clear(print_back_demod).
% 6.03/6.19 dependent: clear(print_back_sub).
% 6.03/6.19 dependent: set(control_memory).
% 6.03/6.19 dependent: assign(max_mem, 12000).
% 6.03/6.19 dependent: assign(pick_given_ratio, 4).
% 6.03/6.19 dependent: assign(stats_level, 1).
% 6.03/6.19 dependent: assign(max_seconds, 10800).
% 6.03/6.19 clear(print_given).
% 6.03/6.19
% 6.03/6.19 list(usable).
% 6.03/6.19 0 [] A=A.
% 6.03/6.19 0 [] meet(X,X)=X.
% 6.03/6.19 0 [] join(X,X)=X.
% 6.03/6.19 0 [] meet(X,Y)=meet(Y,X).
% 6.03/6.19 0 [] join(X,Y)=join(Y,X).
% 6.03/6.19 0 [] meet(meet(X,Y),Z)=meet(X,meet(Y,Z)).
% 6.03/6.19 0 [] join(join(X,Y),Z)=join(X,join(Y,Z)).
% 6.03/6.19 0 [] join(meet(X,join(Y,Z)),meet(X,Y))=meet(X,join(Y,Z)).
% 6.03/6.19 0 [] meet(join(X,meet(Y,Z)),join(X,Y))=join(X,meet(Y,Z)).
% 6.03/6.19 0 [] join(meet(X,Y),meet(Z,join(X,Y)))=meet(join(X,Y),join(Z,meet(X,Y))).
% 6.03/6.19 0 [] meet(a,join(b,meet(a,c)))!=join(meet(a,b),meet(a,c)).
% 6.03/6.19 end_of_list.
% 6.03/6.19
% 6.03/6.19 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 6.03/6.19
% 6.03/6.19 All clauses are units, and equality is present; the
% 6.03/6.19 strategy will be Knuth-Bendix with positive clauses in sos.
% 6.03/6.19
% 6.03/6.19 dependent: set(knuth_bendix).
% 6.03/6.19 dependent: set(anl_eq).
% 6.03/6.19 dependent: set(para_from).
% 6.03/6.19 dependent: set(para_into).
% 6.03/6.19 dependent: clear(para_from_right).
% 6.03/6.19 dependent: clear(para_into_right).
% 6.03/6.19 dependent: set(para_from_vars).
% 6.03/6.19 dependent: set(eq_units_both_ways).
% 6.03/6.19 dependent: set(dynamic_demod_all).
% 6.03/6.19 dependent: set(dynamic_demod).
% 6.03/6.19 dependent: set(order_eq).
% 6.03/6.19 dependent: set(back_demod).
% 6.03/6.19 dependent: set(lrpo).
% 6.03/6.19
% 6.03/6.19 ------------> process usable:
% 6.03/6.19 ** KEPT (pick-wt=15): 1 [] meet(a,join(b,meet(a,c)))!=join(meet(a,b),meet(a,c)).
% 6.03/6.19
% 6.03/6.19 ------------> process sos:
% 6.03/6.19 ** KEPT (pick-wt=3): 2 [] A=A.
% 6.03/6.19 ** KEPT (pick-wt=5): 3 [] meet(A,A)=A.
% 6.03/6.19 ---> New Demodulator: 4 [new_demod,3] meet(A,A)=A.
% 6.03/6.19 ** KEPT (pick-wt=5): 5 [] join(A,A)=A.
% 6.03/6.19 ---> New Demodulator: 6 [new_demod,5] join(A,A)=A.
% 6.03/6.19 ** KEPT (pick-wt=7): 7 [] meet(A,B)=meet(B,A).
% 6.03/6.19 ** KEPT (pick-wt=7): 8 [] join(A,B)=join(B,A).
% 6.03/6.19 ** KEPT (pick-wt=11): 9 [] meet(meet(A,B),C)=meet(A,meet(B,C)).
% 6.03/6.19 ---> New Demodulator: 10 [new_demod,9] meet(meet(A,B),C)=meet(A,meet(B,C)).
% 6.03/6.19 ** KEPT (pick-wt=11): 11 [] join(join(A,B),C)=join(A,join(B,C)).
% 6.03/6.19 ---> New Demodulator: 12 [new_demod,11] join(join(A,B),C)=join(A,join(B,C)).
% 6.03/6.19 ** KEPT (pick-wt=15): 13 [] join(meet(A,join(B,C)),meet(A,B))=meet(A,join(B,C)).
% 6.03/6.19 ---> New Demodulator: 14 [new_demod,13] join(meet(A,join(B,C)),meet(A,B))=meet(A,join(B,C)).
% 6.03/6.19 ** KEPT (pick-wt=15): 15 [] meet(join(A,meet(B,C)),join(A,B))=join(A,meet(B,C)).
% 6.03/6.19 ---> New Demodulator: 16 [new_demod,15] meet(join(A,meet(B,C)),join(A,B))=join(A,meet(B,C)).
% 6.03/6.19 ** KEPT (pick-wt=19): 17 [] join(meet(A,B),meet(C,join(A,B)))=meet(join(A,B),join(C,meet(A,B))).
% 6.03/6.19 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 6.03/6.19 >>>> Starting back demodulation with 4.
% 6.03/6.19 >>>> Starting back demodulation with 6.
% 6.03/6.19 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] meet(A,B)=meet(B,A).
% 6.03/6.19 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] join(A,B)=join(B,A).
% 6.03/6.19 >>>> Starting back demodulation with 10.
% 6.03/6.19 >>>> Starting back demodulation with 12.
% 6.03/6.19 >>>> Starting back demodulation with 14.
% 6.03/6.19 >>>> Starting back demodulation with 16.
% 6.03/6.19 ** KEPT (pick-wt=19): 18 [copy,17,flip.1] meet(join(A,B),join(C,meet(A,B)))=join(meet(A,B),meet(C,join(A,B))).
% 6.03/6.19 Following clause subsumed by 17 during input processing: 0 [copy,18,flip.1] join(meet(A,B),meet(C,join(A,B)))=meet(join(A,B),join(C,meet(A,B))).
% 6.03/6.19
% 6.03/6.19 ======= end of input processing =======
% 6.03/6.19
% 6.03/6.19 =========== start of search ===========
% 6.03/6.19
% 6.03/6.19
% 6.03/6.19 Resetting weight limit to 15.
% 6.03/6.19
% 6.03/6.19
% 6.03/6.19 Resetting weight limit to 15.
% 6.03/6.19
% 6.03/6.19 sos_size=1137
% 6.03/6.19
% 6.03/6.19 -------- PROOF --------
% 6.03/6.19
% 6.03/6.19 ----> UNIT CONFLICT at 4.28 sec ----> 2715 [binary,2714.1,8.1] $F.
% 6.03/6.19
% 6.03/6.19 Length of proof is 143. Level of proof is 25.
% 6.03/6.19
% 6.03/6.19 ---------------- PROOF ----------------
% 6.03/6.19 % SZS status Unsatisfiable
% 6.03/6.19 % SZS output start Refutation
% See solution above
% 6.03/6.20 ------------ end of proof -------------
% 6.03/6.20
% 6.03/6.20
% 6.03/6.20 Search stopped by max_proofs option.
% 6.03/6.20
% 6.03/6.20
% 6.03/6.20 Search stopped by max_proofs option.
% 6.03/6.20
% 6.03/6.20 ============ end of search ============
% 6.03/6.20
% 6.03/6.20 -------------- statistics -------------
% 6.03/6.20 clauses given 757
% 6.03/6.20 clauses generated 612980
% 6.03/6.20 clauses kept 1960
% 6.03/6.20 clauses forward subsumed 96520
% 6.03/6.20 clauses back subsumed 63
% 6.03/6.20 Kbytes malloced 5859
% 6.03/6.20
% 6.03/6.20 ----------- times (seconds) -----------
% 6.03/6.20 user CPU time 4.28 (0 hr, 0 min, 4 sec)
% 6.03/6.20 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 6.03/6.20 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.03/6.20
% 6.03/6.20 That finishes the proof of the theorem.
% 6.03/6.20
% 6.03/6.20 Process 15707 finished Wed Jul 27 08:20:20 2022
% 6.03/6.20 Otter interrupted
% 6.03/6.20 PROOF FOUND
%------------------------------------------------------------------------------