TSTP Solution File: REL005-3 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n015.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 : 600s
% DateTime : Mon Jul 18 19:15:13 EDT 2022
% Result : Unsatisfiable 4.73s 5.12s
% Output : Refutation 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of clauses : 119 ( 119 unt; 0 nHn; 9 RR)
% Number of literals : 119 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 181 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(A,B),join(B,A)),
file('REL005-3.p',unknown),
[] ).
cnf(2,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(complement(join(complement(A),complement(B))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(join(meet(A,B),complement(join(complement(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
[iquote('back_demod(3),demod([4])')] ).
cnf(7,plain,
equal(composition(A,one),A),
file('REL005-3.p',unknown),
[] ).
cnf(9,plain,
equal(converse(converse(A)),A),
file('REL005-3.p',unknown),
[] ).
cnf(10,plain,
equal(converse(join(A,B)),join(converse(A),converse(B))),
file('REL005-3.p',unknown),
[] ).
cnf(11,plain,
equal(converse(composition(A,B)),composition(converse(B),converse(A))),
file('REL005-3.p',unknown),
[] ).
cnf(12,plain,
equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)),
file('REL005-3.p',unknown),
[] ).
cnf(13,plain,
equal(join(A,complement(A)),top),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(14,plain,
equal(meet(A,complement(A)),zero),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(18,plain,
~ equal(converse(meet(sk1,sk2)),meet(converse(sk1),converse(sk2))),
file('REL005-3.p',unknown),
[] ).
cnf(21,plain,
equal(join(A,join(B,C)),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),2]),
[iquote('para(1,2),demod([2])')] ).
cnf(22,plain,
equal(join(complement(A),A),top),
inference(para,[status(thm),theory(equality)],[1,13]),
[iquote('para(1,13)')] ).
cnf(23,plain,
equal(meet(A,B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),4]),
[iquote('para(1,4),demod([4])')] ).
cnf(24,plain,
equal(meet(complement(A),A),zero),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,23]),1]),
[iquote('para(14,23),flip(1)')] ).
cnf(25,plain,
equal(complement(join(meet(A,B),complement(C))),meet(join(complement(A),complement(B)),C)),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(26,plain,
equal(complement(join(complement(A),meet(B,C))),meet(A,join(complement(B),complement(C)))),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(28,plain,
equal(join(meet(A,B),complement(join(B,complement(A)))),A),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(29,plain,
equal(join(meet(A,B),join(complement(join(complement(A),B)),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,2]),1]),
[iquote('para(5,2),flip(1)')] ).
cnf(30,plain,
equal(join(meet(join(complement(A),complement(B)),C),complement(join(meet(A,B),C))),join(complement(A),complement(B))),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(31,plain,
equal(join(meet(A,complement(B)),meet(A,B)),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(32,plain,
equal(composition(converse(one),converse(A)),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,11]),1]),
[iquote('para(7,11),flip(1)')] ).
cnf(33,plain,
equal(composition(converse(one),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,32]),9]),
[iquote('para(9,32),demod([9])')] ).
cnf(34,plain,
equal(converse(one),one),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[33,7]),1]),
[iquote('para(33,7),flip(1)')] ).
cnf(35,plain,
equal(composition(one,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[33]),34]),
[iquote('back_demod(33),demod([34])')] ).
cnf(38,plain,
equal(complement(top),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,4]),14]),
[iquote('para(13,4),demod([14])')] ).
cnf(47,plain,
equal(complement(join(zero,complement(A))),meet(top,A)),
inference(para,[status(thm),theory(equality)],[38,4]),
[iquote('para(38,4)')] ).
cnf(49,plain,
equal(complement(join(zero,zero)),meet(top,top)),
inference(para,[status(thm),theory(equality)],[38,47]),
[iquote('para(38,47)')] ).
cnf(66,plain,
equal(join(meet(A,complement(complement(A))),zero),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),38]),
[iquote('para(13,5),demod([38])')] ).
cnf(67,plain,
equal(join(converse(A),converse(complement(A))),converse(top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,10]),1]),
[iquote('para(13,10),flip(1)')] ).
cnf(70,plain,
equal(join(A,converse(complement(converse(A)))),converse(top)),
inference(para,[status(thm),theory(equality)],[9,67]),
[iquote('para(9,67)')] ).
cnf(71,plain,
equal(join(zero,meet(A,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,5]),4]),
[iquote('para(14,5),demod([4])')] ).
cnf(72,plain,
equal(join(meet(A,A),zero),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[71,1]),1]),
[iquote('para(71,1),flip(1)')] ).
cnf(144,plain,
equal(join(meet(complement(complement(A)),A),zero),A),
inference(para,[status(thm),theory(equality)],[23,66]),
[iquote('para(23,66)')] ).
cnf(146,plain,
equal(join(A,join(B,complement(A))),join(B,top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,21]),1]),
[iquote('para(13,21),flip(1)')] ).
cnf(154,plain,
equal(join(complement(A),join(A,B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[22,2]),1]),
[iquote('para(22,2),flip(1)')] ).
cnf(159,plain,
equal(join(meet(A,B),complement(join(complement(B),A))),B),
inference(para,[status(thm),theory(equality)],[23,5]),
[iquote('para(23,5)')] ).
cnf(181,plain,
equal(join(converse(complement(converse(A))),A),converse(top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,1]),1]),
[iquote('para(70,1),flip(1)')] ).
cnf(198,plain,
equal(join(zero,complement(join(complement(complement(A)),A))),complement(A)),
inference(para,[status(thm),theory(equality)],[24,5]),
[iquote('para(24,5)')] ).
cnf(199,plain,
equal(join(zero,meet(complement(complement(A)),A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[144,1]),1]),
[iquote('para(144,1),flip(1)')] ).
cnf(202,plain,
equal(complement(complement(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,31]),199]),1]),
[iquote('para(24,31),demod([199]),flip(1)')] ).
cnf(203,plain,
equal(join(zero,complement(join(A,A))),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[198]),202]),
[iquote('back_demod(198),demod([202])')] ).
cnf(206,plain,
equal(meet(join(complement(A),complement(B)),join(complement(A),B)),complement(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,25]),1]),
[iquote('para(5,25),flip(1)')] ).
cnf(207,plain,
equal(complement(join(zero,A)),meet(top,complement(A))),
inference(para,[status(thm),theory(equality)],[202,47]),
[iquote('para(202,47)')] ).
cnf(210,plain,
equal(meet(top,complement(zero)),meet(top,top)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[49]),207]),
[iquote('back_demod(49),demod([207])')] ).
cnf(215,plain,
equal(meet(complement(zero),top),meet(top,top)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[210,23]),1]),
[iquote('para(210,23),flip(1)')] ).
cnf(217,plain,
equal(join(meet(A,meet(B,C)),meet(A,join(complement(B),complement(C)))),A),
inference(para,[status(thm),theory(equality)],[26,5]),
[iquote('para(26,5)')] ).
cnf(226,plain,
equal(complement(join(A,complement(B))),meet(complement(A),B)),
inference(para,[status(thm),theory(equality)],[202,4]),
[iquote('para(202,4)')] ).
cnf(227,plain,
equal(join(meet(A,B),meet(complement(B),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[28]),226]),
[iquote('back_demod(28),demod([226])')] ).
cnf(228,plain,
equal(meet(complement(meet(A,B)),C),meet(join(complement(A),complement(B)),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[25]),226]),
[iquote('back_demod(25),demod([226])')] ).
cnf(229,plain,
equal(complement(join(complement(A),B)),meet(A,complement(B))),
inference(para,[status(thm),theory(equality)],[202,4]),
[iquote('para(202,4)')] ).
cnf(230,plain,
equal(join(meet(A,B),meet(B,complement(A))),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[159]),229]),
[iquote('back_demod(159),demod([229])')] ).
cnf(234,plain,
equal(join(meet(A,B),join(meet(A,complement(B)),C)),join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),229]),
[iquote('back_demod(29),demod([229])')] ).
cnf(239,plain,
equal(join(meet(A,top),meet(zero,A)),A),
inference(para,[status(thm),theory(equality)],[38,227]),
[iquote('para(38,227)')] ).
cnf(244,plain,
equal(complement(zero),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,239]),215,72]),1]),
[iquote('para(14,239),demod([215,72]),flip(1)')] ).
cnf(254,plain,
equal(join(meet(A,complement(B)),join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,2]),1]),
[iquote('para(31,2),flip(1)')] ).
cnf(256,plain,
equal(complement(join(A,top)),meet(complement(A),zero)),
inference(para,[status(thm),theory(equality)],[244,226]),
[iquote('para(244,226)')] ).
cnf(257,plain,
equal(join(meet(A,zero),meet(top,A)),A),
inference(para,[status(thm),theory(equality)],[244,227]),
[iquote('para(244,227)')] ).
cnf(260,plain,
equal(join(meet(A,complement(B)),meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[23,31]),
[iquote('para(23,31)')] ).
cnf(261,plain,
equal(join(meet(join(complement(A),B),meet(A,B)),complement(A)),join(complement(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,30]),202,202]),
[iquote('para(31,30),demod([202,202])')] ).
cnf(262,plain,
equal(join(meet(zero,A),meet(A,top)),A),
inference(para,[status(thm),theory(equality)],[244,230]),
[iquote('para(244,230)')] ).
cnf(263,plain,
equal(join(complement(A),complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[34,12]),35,35]),
[iquote('para(34,12),demod([35,35])')] ).
cnf(278,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[202,263]),202,202]),
[iquote('para(202,263),demod([202,202])')] ).
cnf(279,plain,
equal(join(zero,complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[203]),278]),
[iquote('back_demod(203),demod([278])')] ).
cnf(287,plain,
equal(join(zero,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[202,279]),202]),
[iquote('para(202,279),demod([202])')] ).
cnf(292,plain,
equal(meet(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[71]),287]),
[iquote('back_demod(71),demod([287])')] ).
cnf(293,plain,
equal(join(A,zero),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[72]),292]),
[iquote('back_demod(72),demod([292])')] ).
cnf(346,plain,
equal(join(A,join(top,meet(complement(A),zero))),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[256,13]),2]),
[iquote('para(256,13),demod([2])')] ).
cnf(366,plain,
equal(complement(join(A,B)),meet(complement(A),complement(B))),
inference(para,[status(thm),theory(equality)],[202,226]),
[iquote('para(202,226)')] ).
cnf(397,plain,
equal(join(top,A),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[278,154]),22]),1]),
[iquote('para(278,154),demod([22]),flip(1)')] ).
cnf(399,plain,
equal(join(A,top),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[346]),397]),
[iquote('back_demod(346),demod([397])')] ).
cnf(403,plain,
equal(join(A,join(B,complement(A))),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[146]),399]),
[iquote('back_demod(146),demod([399])')] ).
cnf(420,plain,
equal(converse(top),top),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[397,70]),1]),
[iquote('para(397,70),flip(1)')] ).
cnf(422,plain,
equal(join(converse(complement(converse(A))),A),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[181]),420]),
[iquote('back_demod(181),demod([420])')] ).
cnf(491,plain,
equal(meet(zero,complement(A)),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[397,366]),38,38]),1]),
[iquote('para(397,366),demod([38,38]),flip(1)')] ).
cnf(549,plain,
equal(join(meet(zero,A),meet(top,A)),A),
inference(para,[status(thm),theory(equality)],[23,257]),
[iquote('para(23,257)')] ).
cnf(567,plain,
equal(meet(zero,A),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[491,31]),287]),
[iquote('para(491,31),demod([287])')] ).
cnf(568,plain,
equal(meet(top,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[549]),567,287]),
[iquote('back_demod(549),demod([567,287])')] ).
cnf(571,plain,
equal(meet(A,top),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[262]),567,287]),
[iquote('back_demod(262),demod([567,287])')] ).
cnf(1533,plain,
equal(meet(complement(A),meet(complement(B),A)),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[403,366]),38,366,202]),1]),
[iquote('para(403,366),demod([38,366,202]),flip(1)')] ).
cnf(1538,plain,
equal(meet(complement(A),meet(B,A)),zero),
inference(para,[status(thm),theory(equality)],[202,1533]),
[iquote('para(202,1533)')] ).
cnf(1906,plain,
equal(complement(meet(A,B)),join(complement(A),complement(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,217]),228,292,287]),1]),
[iquote('para(24,217),demod([228,292,287]),flip(1)')] ).
cnf(1972,plain,
equal(meet(complement(A),join(complement(B),complement(A))),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1538,31]),1906,293]),
[iquote('para(1538,31),demod([1906,293])')] ).
cnf(1973,plain,
equal(meet(A,join(complement(B),A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[202,1972]),202,202]),
[iquote('para(202,1972),demod([202,202])')] ).
cnf(1975,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[202,1973]),
[iquote('para(202,1973)')] ).
cnf(2066,plain,
equal(join(complement(A),meet(join(complement(A),B),meet(A,B))),join(complement(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[206,230]),366,202,202]),
[iquote('para(206,230),demod([366,202,202])')] ).
cnf(2230,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[2,1975]),
[iquote('para(2,1975)')] ).
cnf(2281,plain,
equal(join(meet(A,B),A),join(A,meet(B,A))),
inference(para,[status(thm),theory(equality)],[260,234]),
[iquote('para(260,234)')] ).
cnf(2282,plain,
equal(join(A,meet(B,A)),join(meet(A,B),A)),
inference(flip,[status(thm),theory(equality)],[2281]),
[iquote('flip(2281)')] ).
cnf(2285,plain,
equal(join(converse(meet(join(complement(A),B),meet(A,B))),converse(complement(A))),join(converse(complement(A)),converse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[261,10]),10]),1]),
[iquote('para(261,10),demod([10]),flip(1)')] ).
cnf(2707,plain,
equal(join(A,meet(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[278,254]),31]),1]),
[iquote('para(278,254),demod([31]),flip(1)')] ).
cnf(2717,plain,
equal(join(meet(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2707,1]),1]),
[iquote('para(2707,1),flip(1)')] ).
cnf(2718,plain,
equal(join(A,meet(B,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2282]),2717]),
[iquote('back_demod(2282),demod([2717])')] ).
cnf(2760,plain,
equal(meet(meet(A,B),join(C,B)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[2718,2230]),
[iquote('para(2718,2230)')] ).
cnf(2794,plain,
equal(join(converse(A),converse(meet(A,B))),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2707,10]),1]),
[iquote('para(2707,10),flip(1)')] ).
cnf(3946,plain,
equal(meet(join(A,B),meet(C,B)),meet(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2760,23]),1]),
[iquote('para(2760,23),flip(1)')] ).
cnf(3968,plain,
equal(join(converse(meet(A,B)),converse(complement(A))),join(converse(complement(A)),converse(B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2285]),3946]),
[iquote('back_demod(2285),demod([3946])')] ).
cnf(3969,plain,
equal(join(converse(complement(A)),converse(B)),join(converse(meet(A,B)),converse(complement(A)))),
inference(flip,[status(thm),theory(equality)],[3968]),
[iquote('flip(3968)')] ).
cnf(3972,plain,
equal(join(complement(A),meet(A,B)),join(complement(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2066]),3946]),
[iquote('back_demod(2066),demod([3946])')] ).
cnf(4777,plain,
equal(meet(join(complement(A),complement(B)),join(B,complement(A))),complement(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[227,366]),1906,1906,202]),1]),
[iquote('para(227,366),demod([1906,1906,202]),flip(1)')] ).
cnf(4803,plain,
equal(meet(join(A,complement(B)),join(B,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[202,4777]),202,202]),
[iquote('para(202,4777),demod([202,202])')] ).
cnf(4816,plain,
equal(meet(join(complement(A),B),join(A,B)),B),
inference(para,[status(thm),theory(equality)],[1,4803]),
[iquote('para(1,4803)')] ).
cnf(4859,plain,
equal(meet(join(complement(A),B),A),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2707,4816]),3972]),
[iquote('para(2707,4816),demod([3972])')] ).
cnf(4872,plain,
equal(join(A,converse(complement(converse(complement(A))))),converse(complement(converse(complement(A))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[422,4803]),568]),
[iquote('para(422,4803),demod([568])')] ).
cnf(4873,plain,
equal(join(A,complement(converse(complement(converse(A))))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[422,4803]),571]),
[iquote('para(422,4803),demod([571])')] ).
cnf(4874,plain,
equal(join(converse(A),complement(converse(complement(A)))),converse(A)),
inference(para,[status(thm),theory(equality)],[9,4873]),
[iquote('para(9,4873)')] ).
cnf(4879,plain,
equal(join(converse(complement(A)),complement(converse(A))),converse(complement(A))),
inference(para,[status(thm),theory(equality)],[202,4874]),
[iquote('para(202,4874)')] ).
cnf(4948,plain,
equal(meet(complement(converse(A)),converse(complement(A))),complement(converse(A))),
inference(para,[status(thm),theory(equality)],[4879,1975]),
[iquote('para(4879,1975)')] ).
cnf(4950,plain,
equal(meet(converse(complement(A)),complement(converse(A))),complement(converse(A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4948,23]),1]),
[iquote('para(4948,23),flip(1)')] ).
cnf(6282,plain,
equal(converse(complement(converse(complement(converse(A))))),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4873,10]),4872]),1]),
[iquote('para(4873,10),demod([4872]),flip(1)')] ).
cnf(6285,plain,
equal(converse(complement(converse(complement(A)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,6282]),9]),
[iquote('para(9,6282),demod([9])')] ).
cnf(6286,plain,
equal(complement(converse(complement(A))),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6285,9]),1]),
[iquote('para(6285,9),flip(1)')] ).
cnf(6294,plain,
equal(meet(converse(complement(A)),converse(A)),zero),
inference(para,[status(thm),theory(equality)],[6286,14]),
[iquote('para(6286,14)')] ).
cnf(6639,plain,
equal(converse(complement(A)),complement(converse(A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6294,31]),4950,293]),1]),
[iquote('para(6294,31),demod([4950,293]),flip(1)')] ).
cnf(6990,plain,
equal(join(converse(meet(A,B)),complement(converse(A))),join(complement(converse(A)),converse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3969]),6639,6639]),1]),
[iquote('back_demod(3969),demod([6639,6639]),flip(1)')] ).
cnf(13855,plain,
equal(converse(meet(A,B)),meet(converse(A),converse(B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2794,4803]),6990,4859]),1]),
[iquote('para(2794,4803),demod([6990,4859]),flip(1)')] ).
cnf(13856,plain,
$false,
inference(conflict,[status(thm)],[13855,18]),
[iquote('conflict(13855,18)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n015.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 : 600
% 0.13/0.33 % DateTime : Fri Jul 8 07:13:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.72/1.09 ----- EQP 0.9e, May 2009 -----
% 0.72/1.09 The job began on n015.cluster.edu, Fri Jul 8 07:13:36 2022
% 0.72/1.09 The command was "./eqp09e".
% 0.72/1.09
% 0.72/1.09 set(prolog_style_variables).
% 0.72/1.09 set(lrpo).
% 0.72/1.09 set(basic_paramod).
% 0.72/1.09 set(functional_subsume).
% 0.72/1.09 set(ordered_paramod).
% 0.72/1.09 set(prime_paramod).
% 0.72/1.09 set(para_pairs).
% 0.72/1.09 assign(pick_given_ratio,4).
% 0.72/1.09 clear(print_kept).
% 0.72/1.09 clear(print_new_demod).
% 0.72/1.09 clear(print_back_demod).
% 0.72/1.09 clear(print_given).
% 0.72/1.09 assign(max_mem,64000).
% 0.72/1.09 end_of_commands.
% 0.72/1.09
% 0.72/1.09 Usable:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Sos:
% 0.72/1.09 0 (wt=-1) [] join(A,B) = join(B,A).
% 0.72/1.09 0 (wt=-1) [] join(A,join(B,C)) = join(join(A,B),C).
% 0.72/1.09 0 (wt=-1) [] A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 0.72/1.09 0 (wt=-1) [] meet(A,B) = complement(join(complement(A),complement(B))).
% 0.72/1.09 0 (wt=-1) [] composition(A,composition(B,C)) = composition(composition(A,B),C).
% 0.72/1.09 0 (wt=-1) [] composition(A,one) = A.
% 0.72/1.09 0 (wt=-1) [] composition(join(A,B),C) = join(composition(A,C),composition(B,C)).
% 0.72/1.09 0 (wt=-1) [] converse(converse(A)) = A.
% 0.72/1.09 0 (wt=-1) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.72/1.09 0 (wt=-1) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.72/1.09 0 (wt=-1) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.72/1.09 0 (wt=-1) [] top = join(A,complement(A)).
% 0.72/1.09 0 (wt=-1) [] zero = meet(A,complement(A)).
% 0.72/1.09 0 (wt=-1) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 0.72/1.09 0 (wt=-1) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 0.72/1.09 0 (wt=-1) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 0.72/1.09 0 (wt=-1) [] -(converse(meet(sk1,sk2)) = meet(converse(sk1),converse(sk2))).
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Demodulators:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Passive:
% 0.72/1.09 end_of_list.
% 0.72/1.09
% 0.72/1.09 Starting to process input.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 1 (wt=7) [] join(A,B) = join(B,A).
% 0.72/1.09 clause forward subsumed: 0 (wt=7) [flip(1)] join(B,A) = join(A,B).
% 0.72/1.09
% 0.72/1.09 ** KEPT: 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 0.72/1.09 2 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 3 (wt=14) [flip(1)] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A.
% 0.72/1.09 3 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 0.72/1.09 4 is a new demodulator.
% 0.72/1.09 -> 4 back demodulating 3.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 0.72/1.09 5 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 0.72/1.09 6 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 7 (wt=5) [] composition(A,one) = A.
% 0.72/1.09 7 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 0.72/1.09 8 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 9 (wt=5) [] converse(converse(A)) = A.
% 0.72/1.09 9 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 0.72/1.09 10 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 0.72/1.09 11 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 0.72/1.09 12 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 0.72/1.09 13 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 0.72/1.09 14 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 15 (wt=33) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 0.72/1.09 15 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 16 (wt=27) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 0.72/1.09 16 is a new demodulator.
% 0.72/1.09
% 0.72/1.09 ** KEPT: 17 (wt=27) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 4.73/5.12 17 is a new demodulator.
% 4.73/5.12
% 4.73/5.12 ** KEPT: 18 (wt=10) [] -(converse(meet(sk1,sk2)) = meet(converse(sk1),converse(sk2))).
% 4.73/5.12 ---------------- PROOF FOUND ----------------
% 4.73/5.12 % SZS status Unsatisfiable
% 4.73/5.12
% 4.73/5.12
% 4.73/5.12 After processing input:
% 4.73/5.12
% 4.73/5.12 Usable:
% 4.73/5.12 end_of_list.
% 4.73/5.12
% 4.73/5.12 Sos:
% 4.73/5.12 7 (wt=5) [] composition(A,one) = A.
% 4.73/5.12 9 (wt=5) [] converse(converse(A)) = A.
% 4.73/5.12 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 4.73/5.12 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 4.73/5.12 1 (wt=7) [] join(A,B) = join(B,A).
% 4.73/5.12 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 4.73/5.12 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 4.73/5.12 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 4.73/5.12 18 (wt=10) [] -(converse(meet(sk1,sk2)) = meet(converse(sk1),converse(sk2))).
% 4.73/5.12 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 4.73/5.12 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 4.73/5.12 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 4.73/5.12 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 4.73/5.12 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 4.73/5.12 16 (wt=27) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 4.73/5.12 17 (wt=27) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 4.73/5.12 15 (wt=33) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 4.73/5.12 end_of_list.
% 4.73/5.12
% 4.73/5.12 Demodulators:
% 4.73/5.12 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 4.73/5.12 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 4.73/5.12 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 4.73/5.12 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 4.73/5.12 7 (wt=5) [] composition(A,one) = A.
% 4.73/5.12 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 4.73/5.12 9 (wt=5) [] converse(converse(A)) = A.
% 4.73/5.12 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 4.73/5.12 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 4.73/5.12 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 4.73/5.12 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 4.73/5.12 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 4.73/5.12 15 (wt=33) [] join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))).
% 4.73/5.12 16 (wt=27) [] join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C).
% 4.73/5.12 17 (wt=27) [] join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C).
% 4.73/5.12 end_of_list.
% 4.73/5.12
% 4.73/5.12 Passive:
% 4.73/5.12 end_of_list.
% 4.73/5.12
% 4.73/5.12 UNIT CONFLICT from 13855 and 18 at 2.83 seconds.
% 4.73/5.12
% 4.73/5.12 ---------------- PROOF ----------------
% 4.73/5.12 % SZS output start Refutation
% See solution above
% 4.73/5.12 ------------ end of proof -------------
% 4.73/5.12
% 4.73/5.12
% 4.73/5.12 ------------- memory usage ------------
% 4.73/5.12 Memory dynamically allocated (tp_alloc): 36621.
% 4.73/5.12 type (bytes each) gets frees in use avail bytes
% 4.73/5.12 sym_ent ( 96) 61 0 61 0 5.7 K
% 4.73/5.12 term ( 16) 2688360 2211223 477137 45 9265.8 K
% 4.73/5.12 gen_ptr ( 8) 3024343 509936 2514407 118 19644.7 K
% 4.73/5.12 context ( 808) 3513256 3513254 2 8 7.9 K
% 4.73/5.12 trail ( 12) 115326 115326 0 9 0.1 K
% 4.73/5.12 bt_node ( 68) 1539879 1539876 3 33 2.4 K
% 4.73/5.12 ac_position (285432) 0 0 0 0 0.0 K
% 4.73/5.12 ac_match_pos (14044) 0 0 0 0 0.0 K
% 4.73/5.12 ac_match_free_vars_pos (4020)
% 4.73/5.12 0 0 0 0 0.0 K
% 4.73/5.12 discrim ( 12) 415101 92507 322594 0 3780.4 K
% 4.73/5.12 flat ( 40) 6087595 6087595 0 166 6.5 K
% 4.73/5.12 discrim_pos ( 12) 147794 147794 0 1 0.0 K
% 4.73/5.12 fpa_head ( 12) 52301 0 52301 0 612.9 K
% 4.73/5.12 fpa_tree ( 28) 74620 74620 0 55 1.5 K
% 4.73/5.12 fpa_pos ( 36) 22746 22746 0 1 0.0 K
% 4.73/5.12 literal ( 12) 86559 72704 13855 1 162.4 K
% 4.73/5.12 clause ( 24) 86559 72704 13855 1 324.8 K
% 4.73/5.12 list ( 12) 8950 8894 56 7 0.7 K
% 4.73/5.12 list_pos ( 20) 57652 16792 40860 0 798.0 K
% 4.73/5.12 pair_index ( 40) 2 0 2 0 0.1 K
% 4.73/5.12
% 4.73/5.12 -------------- statistics -------------
% 4.73/5.12 Clauses input 17
% 4.73/5.12 Usable input 0
% 4.73/5.12 Sos input 17
% 4.73/5.12 Demodulators input 0
% 4.73/5.12 Passive input 0
% 4.73/5.12
% 4.73/5.12 Processed BS (before search) 19
% 4.73/5.12 Forward subsumed BS 1
% 4.73/5.12 Kept BS 18
% 4.73/5.12 New demodulators BS 16
% 4.73/5.12 Back demodulated BS 1
% 4.73/5.12
% 4.73/5.12 Clauses or pairs given 212474
% 4.73/5.12 Clauses generated 62414
% 4.73/5.12 Forward subsumed 48577
% 4.73/5.12 Deleted by weight 0
% 4.73/5.12 Deleted by variable count 0
% 4.73/5.12 Kept 13837
% 4.73/5.12 New demodulators 8875
% 4.73/5.12 Back demodulated 3561
% 4.73/5.12 Ordered paramod prunes 0
% 4.73/5.12 Basic paramod prunes 927578
% 4.73/5.12 Prime paramod prunes 5763
% 4.73/5.12 Semantic prunes 0
% 4.73/5.12
% 4.73/5.12 Rewrite attmepts 1135697
% 4.73/5.12 Rewrites 133476
% 4.73/5.12
% 4.73/5.12 FPA overloads 0
% 4.73/5.12 FPA underloads 0
% 4.73/5.12
% 4.73/5.12 Usable size 0
% 4.73/5.12 Sos size 10292
% 4.73/5.12 Demodulators size 6422
% 4.73/5.12 Passive size 0
% 4.73/5.12 Disabled size 3562
% 4.73/5.12
% 4.73/5.12 Proofs found 1
% 4.73/5.12
% 4.73/5.12 ----------- times (seconds) ----------- Fri Jul 8 07:13:40 2022
% 4.73/5.12
% 4.73/5.12 user CPU time 2.83 (0 hr, 0 min, 2 sec)
% 4.73/5.12 system CPU time 1.20 (0 hr, 0 min, 1 sec)
% 4.73/5.12 wall-clock time 4 (0 hr, 0 min, 4 sec)
% 4.73/5.12 input time 0.00
% 4.73/5.12 paramodulation time 0.30
% 4.73/5.12 demodulation time 0.18
% 4.73/5.12 orient time 0.09
% 4.73/5.12 weigh time 0.02
% 4.73/5.12 forward subsume time 0.04
% 4.73/5.12 back demod find time 0.09
% 4.73/5.12 conflict time 0.01
% 4.73/5.12 LRPO time 0.04
% 4.73/5.12 store clause time 1.54
% 4.73/5.12 disable clause time 0.27
% 4.73/5.12 prime paramod time 0.08
% 4.73/5.12 semantics time 0.00
% 4.73/5.12
% 4.73/5.12 EQP interrupted
%------------------------------------------------------------------------------