TSTP Solution File: REL006-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 13:11:47 EDT 2022
% Result : Unsatisfiable 1.82s 2.00s
% Output : Refutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of clauses : 108 ( 108 unt; 0 nHn; 31 RR)
% Number of literals : 108 ( 107 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 113 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
meet(sk1,converse(sk2)) != zero,
file('REL006-1.p',unknown),
[] ).
cnf(3,axiom,
join(A,B) = join(B,A),
file('REL006-1.p',unknown),
[] ).
cnf(4,axiom,
join(A,join(B,C)) = join(join(A,B),C),
file('REL006-1.p',unknown),
[] ).
cnf(6,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[4])]),
[iquote('copy,4,flip.1')] ).
cnf(7,axiom,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('REL006-1.p',unknown),
[] ).
cnf(8,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[7])]),
[iquote('copy,7,flip.1')] ).
cnf(10,axiom,
meet(A,B) = complement(join(complement(A),complement(B))),
file('REL006-1.p',unknown),
[] ).
cnf(12,plain,
complement(join(complement(A),complement(B))) = meet(A,B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[10])]),
[iquote('copy,10,flip.1')] ).
cnf(16,axiom,
composition(A,one) = A,
file('REL006-1.p',unknown),
[] ).
cnf(22,axiom,
converse(converse(A)) = A,
file('REL006-1.p',unknown),
[] ).
cnf(23,axiom,
converse(join(A,B)) = join(converse(A),converse(B)),
file('REL006-1.p',unknown),
[] ).
cnf(25,axiom,
converse(composition(A,B)) = composition(converse(B),converse(A)),
file('REL006-1.p',unknown),
[] ).
cnf(27,axiom,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('REL006-1.p',unknown),
[] ).
cnf(29,axiom,
top = join(A,complement(A)),
file('REL006-1.p',unknown),
[] ).
cnf(30,plain,
join(A,complement(A)) = top,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[29])]),
[iquote('copy,29,flip.1')] ).
cnf(32,axiom,
zero = meet(A,complement(A)),
file('REL006-1.p',unknown),
[] ).
cnf(34,plain,
meet(A,complement(A)) = zero,
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[32])]),
[iquote('copy,32,flip.1')] ).
cnf(35,axiom,
meet(converse(sk1),sk2) = zero,
file('REL006-1.p',unknown),
[] ).
cnf(37,plain,
join(meet(A,B),complement(join(complement(A),B))) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[8]),12]),
[iquote('back_demod,8,demod,12')] ).
cnf(39,plain,
join(complement(A),A) = top,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3,30])]),
[iquote('para_into,3.1.1,30.1.1,flip.1')] ).
cnf(42,plain,
complement(join(meet(A,B),complement(C))) = meet(join(complement(A),complement(B)),C),
inference(para_into,[status(thm),theory(equality)],[12,12]),
[iquote('para_into,11.1.1.1.1,11.1.1')] ).
cnf(43,plain,
complement(join(complement(A),meet(B,C))) = meet(A,join(complement(B),complement(C))),
inference(para_into,[status(thm),theory(equality)],[12,12]),
[iquote('para_into,11.1.1.1.2,11.1.1')] ).
cnf(45,plain,
complement(top) = meet(complement(A),A),
inference(para_into,[status(thm),theory(equality)],[12,39]),
[iquote('para_into,11.1.1.1,39.1.1')] ).
cnf(47,plain,
complement(top) = zero,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[12,30]),34]),
[iquote('para_into,11.1.1.1,30.1.1,demod,34')] ).
cnf(48,plain,
meet(A,B) = meet(B,A),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[12,3]),12]),
[iquote('para_into,11.1.1.1,3.1.1,demod,12')] ).
cnf(49,plain,
meet(complement(A),A) = zero,
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[45])]),47]),
[iquote('copy,45,flip.1,demod,47')] ).
cnf(53,plain,
meet(join(complement(A),complement(B)),meet(A,B)) = zero,
inference(para_from,[status(thm),theory(equality)],[12,34]),
[iquote('para_from,11.1.1,33.1.1.2')] ).
cnf(55,plain,
join(complement(A),join(complement(B),meet(A,B))) = top,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[12,30]),6]),
[iquote('para_from,11.1.1,30.1.1.2,demod,6')] ).
cnf(58,plain,
complement(join(complement(A),zero)) = meet(A,top),
inference(para_from,[status(thm),theory(equality)],[47,12]),
[iquote('para_from,46.1.1,11.1.1.1.2')] ).
cnf(59,plain,
join(zero,top) = top,
inference(para_from,[status(thm),theory(equality)],[47,39]),
[iquote('para_from,46.1.1,39.1.1.1')] ).
cnf(63,plain,
join(top,zero) = top,
inference(para_from,[status(thm),theory(equality)],[47,30]),
[iquote('para_from,46.1.1,30.1.1.2')] ).
cnf(65,plain,
complement(join(zero,complement(A))) = meet(top,A),
inference(para_from,[status(thm),theory(equality)],[47,12]),
[iquote('para_from,46.1.1,11.1.1.1.1')] ).
cnf(67,plain,
join(complement(A),join(A,B)) = join(top,B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[6,39])]),
[iquote('para_into,5.1.1.1,39.1.1,flip.1')] ).
cnf(71,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[6,3]),6]),
[iquote('para_into,5.1.1.1,3.1.1,demod,6')] ).
cnf(76,plain,
join(zero,join(top,A)) = join(top,A),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[59,6])]),
[iquote('para_from,59.1.1,5.1.1.1,flip.1')] ).
cnf(78,plain,
join(top,join(zero,A)) = join(top,A),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[63,6])]),
[iquote('para_from,63.1.1,5.1.1.1,flip.1')] ).
cnf(88,plain,
meet(converse(sk2),sk1) != zero,
inference(para_from,[status(thm),theory(equality)],[48,1]),
[iquote('para_from,48.1.1,1.1.1')] ).
cnf(98,plain,
complement(join(zero,zero)) = meet(top,top),
inference(para_into,[status(thm),theory(equality)],[58,47]),
[iquote('para_into,57.1.1.1.1,46.1.1')] ).
cnf(110,plain,
meet(meet(top,top),join(zero,zero)) = zero,
inference(para_from,[status(thm),theory(equality)],[98,49]),
[iquote('para_from,98.1.1,49.1.1.1')] ).
cnf(134,plain,
join(zero,join(A,top)) = join(top,A),
inference(para_into,[status(thm),theory(equality)],[76,3]),
[iquote('para_into,76.1.1.2,3.1.1')] ).
cnf(162,plain,
composition(converse(one),converse(A)) = converse(A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[25,16])]),
[iquote('para_into,25.1.1.1,16.1.1,flip.1')] ).
cnf(172,plain,
composition(converse(one),A) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[162,22]),22]),
[iquote('para_into,162.1.1.2,21.1.1,demod,22')] ).
cnf(175,plain,
converse(one) = one,
inference(para_into,[status(thm),theory(equality)],[172,16]),
[iquote('para_into,172.1.1,16.1.1')] ).
cnf(177,plain,
composition(one,A) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[172]),175]),
[iquote('back_demod,172,demod,175')] ).
cnf(179,plain,
join(complement(A),complement(A)) = complement(A),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[27,175]),177,177]),
[iquote('para_into,27.1.1.1.1,174.1.1,demod,177,177')] ).
cnf(215,plain,
join(zero,zero) = zero,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[179,47]),47,47]),
[iquote('para_into,178.1.1.1,46.1.1,demod,47,47')] ).
cnf(217,plain,
join(meet(A,B),meet(A,B)) = meet(A,B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[179,12]),12,12]),
[iquote('para_into,178.1.1.1,11.1.1,demod,12,12')] ).
cnf(226,plain,
meet(meet(top,top),zero) = zero,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[110]),215]),
[iquote('back_demod,110,demod,215')] ).
cnf(228,plain,
complement(zero) = meet(top,top),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[98]),215]),
[iquote('back_demod,98,demod,215')] ).
cnf(243,plain,
complement(complement(A)) = meet(A,A),
inference(para_from,[status(thm),theory(equality)],[179,12]),
[iquote('para_from,178.1.1,11.1.1.1')] ).
cnf(262,plain,
join(zero,complement(join(complement(converse(sk1)),sk2))) = converse(sk1),
inference(para_into,[status(thm),theory(equality)],[37,35]),
[iquote('para_into,37.1.1.1,35.1.1')] ).
cnf(265,plain,
join(zero,meet(A,A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[37,34]),179,243]),
[iquote('para_into,37.1.1.1,33.1.1,demod,179,243')] ).
cnf(277,plain,
join(meet(A,A),zero) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[37,39]),47]),
[iquote('para_into,37.1.1.2.1,39.1.1,demod,47')] ).
cnf(285,plain,
join(meet(A,complement(B)),meet(A,B)) = A,
inference(para_into,[status(thm),theory(equality)],[37,12]),
[iquote('para_into,37.1.1.2,11.1.1')] ).
cnf(294,plain,
join(zero,meet(meet(top,top),top)) = meet(top,top),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[226,37]),58]),
[iquote('para_from,226.1.1,37.1.1.1,demod,58')] ).
cnf(303,plain,
complement(meet(A,B)) = meet(join(complement(A),complement(B)),join(complement(A),complement(B))),
inference(para_into,[status(thm),theory(equality)],[243,12]),
[iquote('para_into,242.1.1.1,11.1.1')] ).
cnf(306,plain,
meet(top,complement(A)) = complement(A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[243,65]),265])]),
[iquote('para_from,242.1.1,65.1.1.1.2,demod,265,flip.1')] ).
cnf(308,plain,
meet(complement(A),top) = complement(A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[243,58]),277])]),
[iquote('para_from,242.1.1,57.1.1.1.1,demod,277,flip.1')] ).
cnf(310,plain,
meet(meet(A,A),complement(A)) = zero,
inference(para_from,[status(thm),theory(equality)],[243,49]),
[iquote('para_from,242.1.1,49.1.1.1')] ).
cnf(316,plain,
join(complement(A),meet(A,A)) = top,
inference(para_from,[status(thm),theory(equality)],[243,30]),
[iquote('para_from,242.1.1,30.1.1.2')] ).
cnf(321,plain,
join(top,meet(A,A)) = join(top,A),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[265,78])]),
[iquote('para_from,264.1.1,78.1.1.2,flip.1')] ).
cnf(372,plain,
meet(top,meet(A,B)) = meet(A,B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[306,12]),12]),
[iquote('para_into,306.1.1.2,11.1.1,demod,12')] ).
cnf(376,plain,
meet(meet(A,A),top) = meet(A,A),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[308,243]),243]),
[iquote('para_into,308.1.1.1,242.1.1,demod,243')] ).
cnf(386,plain,
meet(top,top) = top,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[294]),376,265])]),
[iquote('back_demod,294,demod,376,265,flip.1')] ).
cnf(391,plain,
complement(zero) = top,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[228]),386]),
[iquote('back_demod,228,demod,386')] ).
cnf(395,plain,
join(complement(A),complement(join(meet(A,A),top))) = complement(A),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[308,37]),243]),
[iquote('para_from,308.1.1,37.1.1.1,demod,243')] ).
cnf(398,plain,
complement(join(meet(A,B),top)) = meet(join(complement(A),complement(B)),zero),
inference(para_from,[status(thm),theory(equality)],[391,42]),
[iquote('para_from,391.1.1,41.1.1.1.2')] ).
cnf(407,plain,
join(complement(A),meet(complement(A),zero)) = complement(A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[395]),398,179]),
[iquote('back_demod,395,demod,398,179')] ).
cnf(486,plain,
join(zero,meet(meet(A,A),A)) = meet(A,A),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[310,37]),303,179,179,42,243,243,217]),
[iquote('para_from,310.1.1,37.1.1.1,demod,303,179,179,42,243,243,217')] ).
cnf(550,plain,
meet(join(complement(A),top),meet(A,zero)) = zero,
inference(para_into,[status(thm),theory(equality)],[53,391]),
[iquote('para_into,53.1.1.1.2,391.1.1')] ).
cnf(624,plain,
join(top,join(complement(A),meet(zero,A))) = top,
inference(para_into,[status(thm),theory(equality)],[55,391]),
[iquote('para_into,55.1.1.1,391.1.1')] ).
cnf(657,plain,
join(complement(A),top) = top,
inference(para_into,[status(thm),theory(equality)],[55,316]),
[iquote('para_into,55.1.1.2,316.1.1')] ).
cnf(663,plain,
meet(A,zero) = zero,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[550]),657,372]),
[iquote('back_demod,550,demod,657,372')] ).
cnf(665,plain,
join(complement(A),zero) = complement(A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[407]),663]),
[iquote('back_demod,407,demod,663')] ).
cnf(711,plain,
meet(zero,A) = zero,
inference(para_into,[status(thm),theory(equality)],[663,48]),
[iquote('para_into,662.1.1,48.1.1')] ).
cnf(712,plain,
join(top,complement(A)) = top,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[624]),711,665]),
[iquote('back_demod,624,demod,711,665')] ).
cnf(735,plain,
join(top,A) = top,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[712,243]),321]),
[iquote('para_into,712.1.1.2,242.1.1,demod,321')] ).
cnf(751,plain,
join(zero,join(A,top)) = top,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[134]),735]),
[iquote('back_demod,134,demod,735')] ).
cnf(754,plain,
join(complement(A),join(A,B)) = top,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[67]),735]),
[iquote('back_demod,67,demod,735')] ).
cnf(785,plain,
join(A,top) = top,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[71,59]),751]),
[iquote('para_into,71.1.1.2,59.1.1,demod,751')] ).
cnf(794,plain,
join(A,join(B,complement(A))) = top,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[71,30]),785])]),
[iquote('para_into,71.1.1.2,30.1.1,demod,785,flip.1')] ).
cnf(817,plain,
join(converse(top),converse(A)) = converse(top),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[735,23])]),
[iquote('para_from,734.1.1,23.1.1.1,flip.1')] ).
cnf(822,plain,
meet(A,A) = A,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[665,243]),277,243])]),
[iquote('para_into,664.1.1.1,242.1.1,demod,277,243,flip.1')] ).
cnf(850,plain,
join(zero,A) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[486]),822,822,822]),
[iquote('back_demod,486,demod,822,822,822')] ).
cnf(872,plain,
complement(complement(A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[243]),822]),
[iquote('back_demod,242,demod,822')] ).
cnf(891,plain,
complement(join(complement(converse(sk1)),sk2)) = converse(sk1),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[262]),850]),
[iquote('back_demod,262,demod,850')] ).
cnf(902,plain,
complement(join(complement(A),B)) = meet(A,complement(B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[822,43]),179]),
[iquote('para_from,821.1.1,43.1.1.1.2,demod,179')] ).
cnf(907,plain,
meet(converse(sk1),complement(sk2)) = converse(sk1),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[891]),902]),
[iquote('back_demod,891,demod,902')] ).
cnf(937,plain,
join(A,A) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[872,179]),872,872]),
[iquote('para_from,871.1.1,178.1.1.2,demod,872,872')] ).
cnf(954,plain,
join(A,join(B,A)) = join(B,A),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[937,71])]),
[iquote('para_from,937.1.1,71.1.1.2,flip.1')] ).
cnf(1036,plain,
join(converse(top),A) = converse(top),
inference(para_into,[status(thm),theory(equality)],[817,22]),
[iquote('para_into,817.1.1.2,21.1.1')] ).
cnf(1041,plain,
converse(top) = top,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[1036,794])]),
[iquote('para_into,1036.1.1,794.1.1,flip.1')] ).
cnf(1110,plain,
meet(complement(sk2),converse(sk1)) = converse(sk1),
inference(para_into,[status(thm),theory(equality)],[907,48]),
[iquote('para_into,907.1.1,48.1.1')] ).
cnf(1170,plain,
join(meet(A,B),A) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[285,954]),285]),
[iquote('para_from,284.1.1,954.1.1.2,demod,285')] ).
cnf(1172,plain,
join(converse(sk1),complement(sk2)) = complement(sk2),
inference(para_into,[status(thm),theory(equality)],[1170,1110]),
[iquote('para_into,1170.1.1.1,1110.1.1')] ).
cnf(1176,plain,
join(meet(A,B),B) = B,
inference(para_into,[status(thm),theory(equality)],[1170,48]),
[iquote('para_into,1170.1.1.1,48.1.1')] ).
cnf(1180,plain,
join(A,meet(B,A)) = A,
inference(para_into,[status(thm),theory(equality)],[1176,3]),
[iquote('para_into,1176.1.1,3.1.1')] ).
cnf(1186,plain,
join(sk1,converse(complement(sk2))) = converse(complement(sk2)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1172,23]),22])]),
[iquote('para_from,1172.1.1,23.1.1.1,demod,22,flip.1')] ).
cnf(1190,plain,
join(complement(sk1),converse(complement(sk2))) = top,
inference(para_from,[status(thm),theory(equality)],[1186,754]),
[iquote('para_from,1186.1.1,754.1.1.2')] ).
cnf(1192,plain,
join(converse(complement(sk2)),complement(sk1)) = top,
inference(para_into,[status(thm),theory(equality)],[1190,3]),
[iquote('para_into,1190.1.1,3.1.1')] ).
cnf(1196,plain,
join(complement(sk2),converse(complement(sk1))) = top,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1192,23]),1041,22])]),
[iquote('para_from,1192.1.1,23.1.1.1,demod,1041,22,flip.1')] ).
cnf(1250,plain,
meet(sk2,complement(converse(complement(sk1)))) = zero,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[902,1196]),47])]),
[iquote('para_into,901.1.1.1,1196.1.1,demod,47,flip.1')] ).
cnf(1258,plain,
meet(A,complement(join(B,A))) = zero,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[902,794]),47,872])]),
[iquote('para_into,901.1.1.1,794.1.1,demod,47,872,flip.1')] ).
cnf(1270,plain,
meet(sk2,converse(complement(sk1))) = sk2,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1250,285]),850]),
[iquote('para_from,1250.1.1,284.1.1.1,demod,850')] ).
cnf(1274,plain,
join(converse(complement(sk1)),sk2) = converse(complement(sk1)),
inference(para_from,[status(thm),theory(equality)],[1270,1180]),
[iquote('para_from,1270.1.1,1180.1.1.2')] ).
cnf(1344,plain,
join(complement(sk1),converse(sk2)) = complement(sk1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1274,23]),22,22])]),
[iquote('para_from,1274.1.1,23.1.1.1,demod,22,22,flip.1')] ).
cnf(1350,plain,
meet(converse(sk2),sk1) = zero,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1344,1258]),872]),
[iquote('para_from,1344.1.1,1258.1.1.2.1,demod,872')] ).
cnf(1352,plain,
$false,
inference(binary,[status(thm)],[1350,88]),
[iquote('binary,1350.1,88.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 09:58:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.77/1.92 ----- Otter 3.3f, August 2004 -----
% 1.77/1.92 The process was started by sandbox2 on n010.cluster.edu,
% 1.77/1.92 Wed Jul 27 09:58:25 2022
% 1.77/1.92 The command was "./otter". The process ID is 32576.
% 1.77/1.92
% 1.77/1.92 set(prolog_style_variables).
% 1.77/1.92 set(auto).
% 1.77/1.92 dependent: set(auto1).
% 1.77/1.92 dependent: set(process_input).
% 1.77/1.92 dependent: clear(print_kept).
% 1.77/1.92 dependent: clear(print_new_demod).
% 1.77/1.92 dependent: clear(print_back_demod).
% 1.77/1.92 dependent: clear(print_back_sub).
% 1.77/1.92 dependent: set(control_memory).
% 1.77/1.92 dependent: assign(max_mem, 12000).
% 1.77/1.92 dependent: assign(pick_given_ratio, 4).
% 1.77/1.92 dependent: assign(stats_level, 1).
% 1.77/1.92 dependent: assign(max_seconds, 10800).
% 1.77/1.92 clear(print_given).
% 1.77/1.92
% 1.77/1.92 list(usable).
% 1.77/1.92 0 [] A=A.
% 1.77/1.92 0 [] join(A,B)=join(B,A).
% 1.77/1.92 0 [] join(A,join(B,C))=join(join(A,B),C).
% 1.77/1.92 0 [] A=join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 1.77/1.92 0 [] meet(A,B)=complement(join(complement(A),complement(B))).
% 1.77/1.92 0 [] composition(A,composition(B,C))=composition(composition(A,B),C).
% 1.77/1.92 0 [] composition(A,one)=A.
% 1.77/1.92 0 [] composition(join(A,B),C)=join(composition(A,C),composition(B,C)).
% 1.77/1.92 0 [] converse(converse(A))=A.
% 1.77/1.92 0 [] converse(join(A,B))=join(converse(A),converse(B)).
% 1.77/1.92 0 [] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.77/1.92 0 [] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.77/1.92 0 [] top=join(A,complement(A)).
% 1.77/1.92 0 [] zero=meet(A,complement(A)).
% 1.77/1.92 0 [] meet(converse(sk1),sk2)=zero.
% 1.77/1.92 0 [] meet(sk1,converse(sk2))!=zero.
% 1.77/1.92 end_of_list.
% 1.77/1.92
% 1.77/1.92 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.77/1.92
% 1.77/1.92 All clauses are units, and equality is present; the
% 1.77/1.92 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.77/1.92
% 1.77/1.92 dependent: set(knuth_bendix).
% 1.77/1.92 dependent: set(anl_eq).
% 1.77/1.92 dependent: set(para_from).
% 1.77/1.92 dependent: set(para_into).
% 1.77/1.92 dependent: clear(para_from_right).
% 1.77/1.92 dependent: clear(para_into_right).
% 1.77/1.92 dependent: set(para_from_vars).
% 1.77/1.92 dependent: set(eq_units_both_ways).
% 1.77/1.92 dependent: set(dynamic_demod_all).
% 1.77/1.92 dependent: set(dynamic_demod).
% 1.77/1.92 dependent: set(order_eq).
% 1.77/1.92 dependent: set(back_demod).
% 1.77/1.92 dependent: set(lrpo).
% 1.77/1.92
% 1.77/1.92 ------------> process usable:
% 1.77/1.92 ** KEPT (pick-wt=6): 1 [] meet(sk1,converse(sk2))!=zero.
% 1.77/1.92
% 1.77/1.92 ------------> process sos:
% 1.77/1.92 ** KEPT (pick-wt=3): 2 [] A=A.
% 1.77/1.92 ** KEPT (pick-wt=7): 3 [] join(A,B)=join(B,A).
% 1.77/1.92 ** KEPT (pick-wt=11): 5 [copy,4,flip.1] join(join(A,B),C)=join(A,join(B,C)).
% 1.77/1.92 ---> New Demodulator: 6 [new_demod,5] join(join(A,B),C)=join(A,join(B,C)).
% 1.77/1.92 ** KEPT (pick-wt=14): 8 [copy,7,flip.1] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.77/1.92 ---> New Demodulator: 9 [new_demod,8] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B)))=A.
% 1.77/1.92 ** KEPT (pick-wt=10): 11 [copy,10,flip.1] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.77/1.92 ---> New Demodulator: 12 [new_demod,11] complement(join(complement(A),complement(B)))=meet(A,B).
% 1.77/1.92 ** KEPT (pick-wt=11): 14 [copy,13,flip.1] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.77/1.92 ---> New Demodulator: 15 [new_demod,14] composition(composition(A,B),C)=composition(A,composition(B,C)).
% 1.77/1.92 ** KEPT (pick-wt=5): 16 [] composition(A,one)=A.
% 1.77/1.92 ---> New Demodulator: 17 [new_demod,16] composition(A,one)=A.
% 1.77/1.92 ** KEPT (pick-wt=13): 19 [copy,18,flip.1] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.77/1.92 ---> New Demodulator: 20 [new_demod,19] join(composition(A,B),composition(C,B))=composition(join(A,C),B).
% 1.77/1.92 ** KEPT (pick-wt=5): 21 [] converse(converse(A))=A.
% 1.77/1.92 ---> New Demodulator: 22 [new_demod,21] converse(converse(A))=A.
% 1.77/1.92 ** KEPT (pick-wt=10): 23 [] converse(join(A,B))=join(converse(A),converse(B)).
% 1.77/1.92 ---> New Demodulator: 24 [new_demod,23] converse(join(A,B))=join(converse(A),converse(B)).
% 1.77/1.92 ** KEPT (pick-wt=10): 25 [] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.77/1.92 ---> New Demodulator: 26 [new_demod,25] converse(composition(A,B))=composition(converse(B),converse(A)).
% 1.77/1.92 ** KEPT (pick-wt=13): 27 [] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.77/1.92 ---> New Demodulator: 28 [new_demod,27] join(composition(converse(A),complement(composition(A,B))),complement(B))=complement(B).
% 1.82/2.00 ** KEPT (pick-wt=6): 30 [copy,29,flip.1] join(A,complement(A))=top.
% 1.82/2.00 ---> New Demodulator: 31 [new_demod,30] join(A,complement(A))=top.
% 1.82/2.00 ** KEPT (pick-wt=6): 33 [copy,32,flip.1] meet(A,complement(A))=zero.
% 1.82/2.00 ---> New Demodulator: 34 [new_demod,33] meet(A,complement(A))=zero.
% 1.82/2.00 ** KEPT (pick-wt=6): 35 [] meet(converse(sk1),sk2)=zero.
% 1.82/2.00 ---> New Demodulator: 36 [new_demod,35] meet(converse(sk1),sk2)=zero.
% 1.82/2.00 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 1.82/2.00 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] join(A,B)=join(B,A).
% 1.82/2.00 >>>> Starting back demodulation with 6.
% 1.82/2.00 >>>> Starting back demodulation with 9.
% 1.82/2.00 >>>> Starting back demodulation with 12.
% 1.82/2.00 >> back demodulating 8 with 12.
% 1.82/2.00 >>>> Starting back demodulation with 15.
% 1.82/2.00 >>>> Starting back demodulation with 17.
% 1.82/2.00 >>>> Starting back demodulation with 20.
% 1.82/2.00 >>>> Starting back demodulation with 22.
% 1.82/2.00 >>>> Starting back demodulation with 24.
% 1.82/2.00 >>>> Starting back demodulation with 26.
% 1.82/2.00 >>>> Starting back demodulation with 28.
% 1.82/2.00 >>>> Starting back demodulation with 31.
% 1.82/2.00 >>>> Starting back demodulation with 34.
% 1.82/2.00 >>>> Starting back demodulation with 36.
% 1.82/2.00 >>>> Starting back demodulation with 38.
% 1.82/2.00
% 1.82/2.00 ======= end of input processing =======
% 1.82/2.00
% 1.82/2.00 =========== start of search ===========
% 1.82/2.00
% 1.82/2.00
% 1.82/2.00 Resetting weight limit to 9.
% 1.82/2.00
% 1.82/2.00
% 1.82/2.00 Resetting weight limit to 9.
% 1.82/2.00
% 1.82/2.00 sos_size=177
% 1.82/2.00
% 1.82/2.00 -------- PROOF --------
% 1.82/2.00
% 1.82/2.00 ----> UNIT CONFLICT at 0.08 sec ----> 1352 [binary,1350.1,88.1] $F.
% 1.82/2.00
% 1.82/2.00 Length of proof is 94. Level of proof is 28.
% 1.82/2.00
% 1.82/2.00 ---------------- PROOF ----------------
% 1.82/2.00 % SZS status Unsatisfiable
% 1.82/2.00 % SZS output start Refutation
% See solution above
% 1.82/2.01 ------------ end of proof -------------
% 1.82/2.01
% 1.82/2.01
% 1.82/2.01 Search stopped by max_proofs option.
% 1.82/2.01
% 1.82/2.01
% 1.82/2.01 Search stopped by max_proofs option.
% 1.82/2.01
% 1.82/2.01 ============ end of search ============
% 1.82/2.01
% 1.82/2.01 -------------- statistics -------------
% 1.82/2.01 clauses given 230
% 1.82/2.01 clauses generated 7560
% 1.82/2.01 clauses kept 699
% 1.82/2.01 clauses forward subsumed 5102
% 1.82/2.01 clauses back subsumed 1
% 1.82/2.01 Kbytes malloced 5859
% 1.82/2.01
% 1.82/2.01 ----------- times (seconds) -----------
% 1.82/2.01 user CPU time 0.08 (0 hr, 0 min, 0 sec)
% 1.82/2.01 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 1.82/2.01 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.82/2.01
% 1.82/2.01 That finishes the proof of the theorem.
% 1.82/2.01
% 1.82/2.01 Process 32576 finished Wed Jul 27 09:58:26 2022
% 1.82/2.01 Otter interrupted
% 1.82/2.01 PROOF FOUND
%------------------------------------------------------------------------------