TSTP Solution File: LAT022-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT022-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n032.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 : Sun Jul 17 04:34:18 EDT 2022
% Result : Unsatisfiable 2.83s 3.19s
% Output : Refutation 2.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of clauses : 120 ( 120 unt; 0 nHn; 5 RR)
% Number of literals : 120 ( 0 equ; 4 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 321 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT022-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(A,A),A),
file('LAT022-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,B),meet(B,A)),
file('LAT022-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,B),join(B,A)),
file('LAT022-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT022-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT022-1.p',unknown),
[] ).
cnf(7,plain,
equal(join(meet(A,join(B,C)),meet(A,B)),meet(A,join(B,C))),
file('LAT022-1.p',unknown),
[] ).
cnf(8,plain,
equal(meet(join(A,meet(B,C)),join(A,B)),join(A,meet(B,C))),
file('LAT022-1.p',unknown),
[] ).
cnf(9,plain,
equal(join(meet(A,B),meet(C,join(A,B))),meet(join(A,B),join(C,meet(A,B)))),
file('LAT022-1.p',unknown),
[] ).
cnf(11,plain,
~ equal(meet(a,join(b,meet(a,c))),join(meet(a,b),meet(a,c))),
file('LAT022-1.p',unknown),
[] ).
cnf(12,plain,
equal(meet(A,meet(A,B)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,5]),1]),
[iquote('para(1,5),flip(1)')] ).
cnf(14,plain,
equal(meet(A,meet(B,A)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[3,12]),
[iquote('para(3,12)')] ).
cnf(15,plain,
equal(meet(A,meet(B,C)),meet(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(19,plain,
equal(join(A,join(A,B)),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,6]),1]),
[iquote('para(2,6),flip(1)')] ).
cnf(20,plain,
equal(join(A,join(B,A)),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,4]),6]),1]),
[iquote('para(19,4),demod([6]),flip(1)')] ).
cnf(21,plain,
equal(join(A,join(B,C)),join(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(23,plain,
equal(join(A,join(B,C)),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,6]),6]),
[iquote('para(4,6),demod([6])')] ).
cnf(24,plain,
equal(join(A,join(B,meet(join(A,B),A))),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),6,1]),
[iquote('para(1,7),demod([6,1])')] ).
cnf(26,plain,
equal(join(meet(join(A,B),C),meet(C,A)),meet(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[3,7]),
[iquote('para(3,7)')] ).
cnf(27,plain,
equal(meet(A,join(B,C)),join(meet(join(B,C),A),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[26]),
[iquote('flip(26)')] ).
cnf(29,plain,
equal(join(meet(A,B),meet(A,join(B,C))),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,4]),1]),
[iquote('para(7,4),flip(1)')] ).
cnf(30,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(A,join(C,B))),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(31,plain,
equal(meet(A,join(B,C)),join(meet(A,join(C,B)),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[30]),
[iquote('flip(30)')] ).
cnf(40,plain,
equal(meet(A,meet(B,join(meet(A,B),A))),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,8]),5,2]),
[iquote('para(2,8),demod([5,2])')] ).
cnf(42,plain,
equal(meet(join(A,B),join(A,meet(B,C))),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,3]),1]),
[iquote('para(8,3),flip(1)')] ).
cnf(43,plain,
equal(meet(join(A,meet(B,C)),join(A,C)),join(A,meet(C,B))),
inference(para,[status(thm),theory(equality)],[3,8]),
[iquote('para(3,8)')] ).
cnf(44,plain,
equal(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,[status(thm),theory(equality)],[14,5]),5,5]),1]),
[iquote('para(14,5),demod([5,5]),flip(1)')] ).
cnf(48,plain,
equal(meet(join(A,meet(B,C)),join(B,A)),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,8]),
[iquote('para(4,8)')] ).
cnf(49,plain,
equal(meet(A,meet(B,C)),meet(C,meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,15]),5,14]),
[iquote('para(14,15),demod([5,14])')] ).
cnf(60,plain,
equal(join(A,meet(B,A)),meet(A,join(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,9]),2,2,1]),
[iquote('para(1,9),demod([2,2,1])')] ).
cnf(63,plain,
equal(meet(A,join(B,A)),join(A,meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,60]),1]),
[iquote('para(3,60),flip(1)')] ).
cnf(64,plain,
equal(meet(join(A,B),B),join(B,meet(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[63,3]),1]),
[iquote('para(63,3),flip(1)')] ).
cnf(67,plain,
equal(meet(join(A,B),join(C,meet(A,B))),join(meet(A,B),meet(join(A,B),C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,9]),1]),
[iquote('para(3,9),flip(1)')] ).
cnf(70,plain,
equal(meet(A,join(A,B)),join(A,meet(A,B))),
inference(para,[status(thm),theory(equality)],[4,63]),
[iquote('para(4,63)')] ).
cnf(71,plain,
equal(meet(join(A,B),A),join(A,meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,3]),1]),
[iquote('para(70,3),flip(1)')] ).
cnf(73,plain,
equal(join(A,join(B,join(A,meet(A,B)))),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[24]),71]),
[iquote('back_demod(24),demod([71])')] ).
cnf(75,plain,
~ equal(meet(a,join(meet(a,c),b)),join(meet(a,b),meet(a,c))),
inference(para,[status(thm),theory(equality)],[4,11]),
[iquote('para(4,11)')] ).
cnf(76,plain,
equal(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,[status(thm),theory(equality)],[20,6]),6,6]),1]),
[iquote('para(20,6),demod([6,6]),flip(1)')] ).
cnf(77,plain,
equal(join(A,join(B,meet(A,B))),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[73]),76]),
[iquote('back_demod(73),demod([76])')] ).
cnf(80,plain,
equal(join(A,join(B,join(C,A))),join(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[6,20]),
[iquote('para(6,20)')] ).
cnf(81,plain,
equal(join(A,join(B,meet(B,A))),join(A,B)),
inference(para,[status(thm),theory(equality)],[3,77]),
[iquote('para(3,77)')] ).
cnf(87,plain,
equal(join(A,join(B,C)),join(C,join(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20,21]),6,20]),
[iquote('para(20,21),demod([6,20])')] ).
cnf(104,plain,
equal(join(meet(A,B),join(B,meet(B,A))),join(meet(A,B),B)),
inference(para,[status(thm),theory(equality)],[14,81]),
[iquote('para(14,81)')] ).
cnf(110,plain,
equal(meet(A,join(B,meet(B,A))),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,40]),5,64,12]),
[iquote('para(3,40),demod([5,64,12])')] ).
cnf(148,plain,
equal(join(meet(A,B),meet(B,A)),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,27]),2]),1]),
[iquote('para(2,27),demod([2]),flip(1)')] ).
cnf(158,plain,
equal(meet(A,join(B,C)),join(meet(A,B),meet(join(B,C),A))),
inference(para,[status(thm),theory(equality)],[26,4]),
[iquote('para(26,4)')] ).
cnf(167,plain,
equal(join(A,join(meet(B,C),meet(A,B))),join(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,26]),71,6,76,42]),
[iquote('para(8,26),demod([71,6,76,42])')] ).
cnf(190,plain,
equal(meet(join(A,meet(A,B)),C),meet(A,meet(join(B,A),C))),
inference(para,[status(thm),theory(equality)],[63,5]),
[iquote('para(63,5)')] ).
cnf(217,plain,
equal(meet(A,join(B,meet(B,C))),meet(B,meet(join(C,B),A))),
inference(para,[status(thm),theory(equality)],[64,49]),
[iquote('para(64,49)')] ).
cnf(218,plain,
equal(meet(A,meet(join(B,A),C)),meet(C,join(A,meet(A,B)))),
inference(flip,[status(thm),theory(equality)],[217]),
[iquote('flip(217)')] ).
cnf(233,plain,
equal(meet(A,join(B,join(A,C))),join(A,meet(A,join(B,C)))),
inference(para,[status(thm),theory(equality)],[23,70]),
[iquote('para(23,70)')] ).
cnf(236,plain,
equal(meet(A,meet(join(B,A),C)),meet(join(A,B),meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[71,5]),190]),
[iquote('para(71,5),demod([190])')] ).
cnf(237,plain,
equal(meet(join(A,B),meet(A,C)),meet(A,meet(join(B,A),C))),
inference(flip,[status(thm),theory(equality)],[236]),
[iquote('flip(236)')] ).
cnf(288,plain,
equal(join(meet(join(A,B),C),meet(C,B)),meet(C,join(B,A))),
inference(para,[status(thm),theory(equality)],[3,30]),
[iquote('para(3,30)')] ).
cnf(289,plain,
equal(meet(A,join(B,C)),join(meet(join(C,B),A),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[288]),
[iquote('flip(288)')] ).
cnf(351,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(join(C,B),A)),
inference(para,[status(thm),theory(equality)],[31,3]),
[iquote('para(31,3)')] ).
cnf(352,plain,
equal(meet(join(A,B),C),join(meet(C,join(B,A)),meet(C,A))),
inference(flip,[status(thm),theory(equality)],[351]),
[iquote('flip(351)')] ).
cnf(353,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,31]),1]),
[iquote('para(4,31),flip(1)')] ).
cnf(354,plain,
equal(meet(join(A,B),C),meet(C,join(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[352]),353]),
[iquote('back_demod(352),demod([353])')] ).
cnf(355,plain,
equal(meet(A,join(B,C)),meet(join(C,B),A)),
inference(flip,[status(thm),theory(equality)],[354]),
[iquote('flip(354)')] ).
cnf(494,plain,
equal(join(meet(A,B),join(meet(B,A),C)),join(meet(B,A),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[148,6]),1]),
[iquote('para(148,6),flip(1)')] ).
cnf(502,plain,
equal(join(meet(A,B),join(C,meet(B,A))),join(C,meet(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[148,23]),1]),
[iquote('para(148,23),flip(1)')] ).
cnf(503,plain,
equal(join(A,meet(A,B)),join(meet(B,A),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[104]),502]),
[iquote('back_demod(104),demod([502])')] ).
cnf(506,plain,
equal(meet(join(meet(A,B),C),join(C,B)),join(C,meet(B,A))),
inference(para,[status(thm),theory(equality)],[4,43]),
[iquote('para(4,43)')] ).
cnf(517,plain,
equal(join(A,meet(B,C)),join(meet(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[148,87]),494]),
[iquote('para(148,87),demod([494])')] ).
cnf(538,plain,
equal(meet(A,join(B,join(C,meet(join(B,C),meet(A,B))))),join(meet(A,B),meet(join(B,C),A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,43]),5,63,6]),
[iquote('para(29,43),demod([5,63,6])')] ).
cnf(666,plain,
equal(meet(A,join(meet(B,C),C)),meet(join(meet(C,B),C),A)),
inference(para,[status(thm),theory(equality)],[503,355]),
[iquote('para(503,355)')] ).
cnf(667,plain,
equal(meet(join(meet(A,B),A),C),meet(C,join(meet(B,A),A))),
inference(flip,[status(thm),theory(equality)],[666]),
[iquote('flip(666)')] ).
cnf(741,plain,
equal(meet(A,meet(join(B,C),join(A,meet(A,B)))),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,48]),5,29]),
[iquote('para(29,48),demod([5,29])')] ).
cnf(782,plain,
equal(join(meet(A,B),meet(join(B,C),A)),meet(join(B,C),A)),
inference(para,[status(thm),theory(equality)],[158,3]),
[iquote('para(158,3)')] ).
cnf(783,plain,
equal(meet(A,join(B,join(C,meet(join(B,C),meet(A,B))))),meet(join(B,C),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[538]),782]),
[iquote('back_demod(538),demod([782])')] ).
cnf(786,plain,
equal(join(A,join(meet(B,C),meet(B,A))),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[3,167]),
[iquote('para(3,167)')] ).
cnf(789,plain,
equal(join(A,join(meet(A,B),meet(B,C))),join(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[4,167]),
[iquote('para(4,167)')] ).
cnf(803,plain,
equal(meet(join(meet(A,B),A),C),meet(A,meet(join(B,A),C))),
inference(para,[status(thm),theory(equality)],[4,190]),
[iquote('para(4,190)')] ).
cnf(804,plain,
equal(meet(A,meet(join(B,A),C)),meet(C,join(meet(B,A),A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[667]),803]),
[iquote('back_demod(667),demod([803])')] ).
cnf(855,plain,
equal(meet(join(A,join(B,C)),B),join(B,meet(B,join(A,C)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[233,3]),1]),
[iquote('para(233,3),flip(1)')] ).
cnf(863,plain,
equal(meet(join(A,B),meet(A,C)),meet(join(B,A),meet(C,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[236,3]),5]),
[iquote('para(236,3),demod([5])')] ).
cnf(864,plain,
equal(meet(join(A,B),meet(C,B)),meet(join(B,A),meet(B,C))),
inference(flip,[status(thm),theory(equality)],[863]),
[iquote('flip(863)')] ).
cnf(889,plain,
equal(meet(A,join(B,C)),join(meet(join(B,C),A),meet(A,C))),
inference(para,[status(thm),theory(equality)],[4,289]),
[iquote('para(4,289)')] ).
cnf(930,plain,
equal(meet(join(meet(A,B),C),join(B,C)),join(C,meet(B,A))),
inference(para,[status(thm),theory(equality)],[4,506]),
[iquote('para(4,506)')] ).
cnf(1021,plain,
equal(meet(A,meet(B,join(A,meet(A,C)))),meet(A,meet(B,join(C,A)))),
inference(para,[status(thm),theory(equality)],[63,44]),
[iquote('para(63,44)')] ).
cnf(1022,plain,
equal(meet(A,meet(join(B,C),join(B,A))),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[741]),1021]),
[iquote('back_demod(741),demod([1021])')] ).
cnf(1067,plain,
equal(join(meet(A,B),join(meet(B,C),A)),join(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[789,4]),6]),1]),
[iquote('para(789,4),demod([6]),flip(1)')] ).
cnf(1151,plain,
equal(meet(A,meet(B,join(C,A))),meet(B,join(meet(C,A),A))),
inference(para,[status(thm),theory(equality)],[3,804]),
[iquote('para(3,804)')] ).
cnf(1165,plain,
equal(meet(join(A,B),join(C,join(B,meet(B,A)))),join(B,join(meet(B,A),meet(join(A,B),C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[64,67]),6,2,64,6,2,6]),
[iquote('para(64,67),demod([6,2,64,6,2,6])')] ).
cnf(1236,plain,
equal(join(meet(join(A,B),C),meet(C,B)),meet(join(A,B),C)),
inference(para,[status(thm),theory(equality)],[889,3]),
[iquote('para(889,3)')] ).
cnf(1277,plain,
equal(meet(A,join(B,C)),meet(join(B,C),join(A,meet(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1022,3]),5,64]),
[iquote('para(1022,3),demod([5,64])')] ).
cnf(1353,plain,
equal(meet(join(A,B),join(C,meet(C,A))),meet(join(A,B),C)),
inference(para,[status(thm),theory(equality)],[1277,3]),
[iquote('para(1277,3)')] ).
cnf(1700,plain,
equal(join(A,join(B,meet(join(A,B),meet(C,A)))),join(A,join(B,meet(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,930]),64,6,6]),
[iquote('para(19,930),demod([64,6,6])')] ).
cnf(1701,plain,
equal(meet(A,join(B,join(C,meet(B,A)))),meet(join(B,C),A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[783]),1700]),
[iquote('back_demod(783),demod([1700])')] ).
cnf(1708,plain,
equal(meet(A,join(B,join(meet(C,A),C))),meet(join(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,1701]),6]),
[iquote('para(4,1701),demod([6])')] ).
cnf(1709,plain,
equal(meet(join(A,B),C),meet(C,join(B,join(meet(A,C),A)))),
inference(flip,[status(thm),theory(equality)],[1708]),
[iquote('flip(1708)')] ).
cnf(1737,plain,
equal(meet(join(A,B),C),meet(C,join(A,join(meet(B,C),B)))),
inference(para,[status(thm),theory(equality)],[4,1709]),
[iquote('para(4,1709)')] ).
cnf(1774,plain,
equal(meet(A,join(B,join(meet(C,A),C))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[1737,3]),
[iquote('para(1737,3)')] ).
cnf(1946,plain,
equal(meet(A,meet(B,join(meet(C,A),A))),meet(A,meet(B,join(C,A)))),
inference(para,[status(thm),theory(equality)],[1151,12]),
[iquote('para(1151,12)')] ).
cnf(1980,plain,
equal(join(meet(join(A,meet(B,C)),B),meet(B,C)),meet(join(A,meet(B,C)),B)),
inference(para,[status(thm),theory(equality)],[12,1236]),
[iquote('para(12,1236)')] ).
cnf(3656,plain,
equal(meet(A,meet(B,join(C,A))),meet(B,join(A,meet(A,join(C,B))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[110,218]),190,6,1353,855]),
[iquote('para(110,218),demod([190,6,1353,855])')] ).
cnf(3658,plain,
equal(meet(A,join(B,meet(B,join(C,A)))),meet(A,join(B,meet(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3656,3]),5,64]),
[iquote('para(3656,3),demod([5,64])')] ).
cnf(3659,plain,
equal(meet(A,join(B,meet(B,C))),meet(B,join(A,meet(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3658,3]),190,6,855,3658]),
[iquote('para(3658,3),demod([190,6,855,3658])')] ).
cnf(3662,plain,
equal(meet(A,join(B,meet(B,C))),meet(A,meet(join(C,A),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3659,3]),190]),
[iquote('para(3659,3),demod([190])')] ).
cnf(3671,plain,
equal(meet(A,meet(join(B,A),C)),meet(A,join(C,meet(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,3662]),1]),
[iquote('para(3,3662),flip(1)')] ).
cnf(3740,plain,
equal(meet(join(A,B),meet(A,C)),meet(A,join(C,meet(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[237]),3671]),
[iquote('back_demod(237),demod([3671])')] ).
cnf(3786,plain,
equal(meet(join(A,B),meet(C,B)),meet(B,join(C,meet(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[864]),3740]),
[iquote('back_demod(864),demod([3740])')] ).
cnf(3802,plain,
equal(meet(A,meet(B,join(C,A))),meet(A,join(B,meet(C,B)))),
inference(para,[status(thm),theory(equality)],[3,3671]),
[iquote('para(3,3671)')] ).
cnf(3803,plain,
equal(meet(A,join(B,meet(C,B))),meet(A,meet(B,join(C,A)))),
inference(flip,[status(thm),theory(equality)],[3802]),
[iquote('flip(3802)')] ).
cnf(3817,plain,
equal(meet(A,join(B,meet(C,B))),meet(A,meet(B,join(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3740,3]),5]),
[iquote('para(3740,3),demod([5])')] ).
cnf(3833,plain,
equal(meet(A,meet(B,join(C,A))),meet(A,join(B,meet(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,3803]),1]),
[iquote('para(3,3803),flip(1)')] ).
cnf(3863,plain,
equal(meet(A,join(B,meet(B,meet(C,A)))),meet(A,join(B,meet(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1946]),3833,3833]),
[iquote('back_demod(1946),demod([3833,3833])')] ).
cnf(3871,plain,
equal(meet(A,meet(B,join(A,C))),meet(A,join(B,meet(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,3817]),1]),
[iquote('para(3,3817),flip(1)')] ).
cnf(3925,plain,
equal(meet(A,join(B,meet(B,C))),join(meet(A,B),meet(A,meet(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,3786]),64,5,5,3871,3863]),1]),
[iquote('para(12,3786),demod([64,5,5,3871,3863]),flip(1)')] ).
cnf(5577,plain,
~ equal(meet(join(b,meet(a,c)),a),join(meet(a,b),meet(a,c))),
inference(para,[status(thm),theory(equality)],[355,75]),
[iquote('para(355,75)')] ).
cnf(11008,plain,
equal(join(A,join(meet(A,B),meet(join(B,A),C))),join(A,meet(join(B,A),C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[63,1067]),6,80]),
[iquote('para(63,1067),demod([6,80])')] ).
cnf(11009,plain,
equal(meet(join(A,B),join(C,join(B,meet(B,A)))),join(B,meet(join(A,B),C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1165]),11008]),
[iquote('back_demod(1165),demod([11008])')] ).
cnf(11832,plain,
equal(meet(join(A,B),join(C,B)),join(B,meet(join(A,B),C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[63,1774]),6,20,11009]),1]),
[iquote('para(63,1774),demod([6,20,11009]),flip(1)')] ).
cnf(11846,plain,
equal(join(A,meet(join(B,A),C)),join(A,meet(join(C,A),B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11832,3]),11832]),
[iquote('para(11832,3),demod([11832])')] ).
cnf(11848,plain,
equal(join(A,meet(join(B,A),C)),join(A,meet(B,join(C,A)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,11846]),1]),
[iquote('para(3,11846),flip(1)')] ).
cnf(11924,plain,
equal(join(meet(join(A,B),C),B),join(B,meet(A,join(C,B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11848,4]),1]),
[iquote('para(11848,4),flip(1)')] ).
cnf(11927,plain,
equal(meet(join(A,meet(B,C)),B),join(meet(B,C),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1980]),11924,3925,786]),1]),
[iquote('back_demod(1980),demod([11924,3925,786]),flip(1)')] ).
cnf(11960,plain,
~ equal(join(meet(a,c),meet(b,a)),join(meet(a,b),meet(a,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5577]),11927]),
[iquote('back_demod(5577),demod([11927])')] ).
cnf(11961,plain,
$false,
inference(conflict,[status(thm)],[11960,517]),
[iquote('conflict(11960,517)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT022-1 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.10 % Command : tptp2X_and_run_eqp %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 29 00:02:12 EDT 2022
% 0.09/0.29 % CPUTime :
% 2.83/3.19 ----- EQP 0.9e, May 2009 -----
% 2.83/3.19 The job began on n032.cluster.edu, Wed Jun 29 00:02:13 2022
% 2.83/3.19 The command was "./eqp09e".
% 2.83/3.19
% 2.83/3.19 set(prolog_style_variables).
% 2.83/3.19 set(lrpo).
% 2.83/3.19 set(basic_paramod).
% 2.83/3.19 set(functional_subsume).
% 2.83/3.19 set(ordered_paramod).
% 2.83/3.19 set(prime_paramod).
% 2.83/3.19 set(para_pairs).
% 2.83/3.19 assign(pick_given_ratio,4).
% 2.83/3.19 clear(print_kept).
% 2.83/3.19 clear(print_new_demod).
% 2.83/3.19 clear(print_back_demod).
% 2.83/3.19 clear(print_given).
% 2.83/3.19 assign(max_mem,64000).
% 2.83/3.19 end_of_commands.
% 2.83/3.19
% 2.83/3.19 Usable:
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 Sos:
% 2.83/3.19 0 (wt=-1) [] meet(A,A) = A.
% 2.83/3.19 0 (wt=-1) [] join(A,A) = A.
% 2.83/3.19 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 2.83/3.19 0 (wt=-1) [] join(A,B) = join(B,A).
% 2.83/3.19 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 2.83/3.19 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 2.83/3.19 0 (wt=-1) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 2.83/3.19 0 (wt=-1) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 2.83/3.19 0 (wt=-1) [] join(meet(A,B),meet(C,join(A,B))) = meet(join(A,B),join(C,meet(A,B))).
% 2.83/3.19 0 (wt=-1) [] -(meet(a,join(b,meet(a,c))) = join(meet(a,b),meet(a,c))).
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 Demodulators:
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 Passive:
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 Starting to process input.
% 2.83/3.19
% 2.83/3.19 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 2.83/3.19 1 is a new demodulator.
% 2.83/3.19
% 2.83/3.19 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 2.83/3.19 2 is a new demodulator.
% 2.83/3.19
% 2.83/3.19 ** KEPT: 3 (wt=7) [] meet(A,B) = meet(B,A).
% 2.83/3.19 clause forward subsumed: 0 (wt=7) [flip(3)] meet(B,A) = meet(A,B).
% 2.83/3.19
% 2.83/3.19 ** KEPT: 4 (wt=7) [] join(A,B) = join(B,A).
% 2.83/3.19 clause forward subsumed: 0 (wt=7) [flip(4)] join(B,A) = join(A,B).
% 2.83/3.19
% 2.83/3.19 ** KEPT: 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 2.83/3.19 5 is a new demodulator.
% 2.83/3.19
% 2.83/3.19 ** KEPT: 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 2.83/3.19 6 is a new demodulator.
% 2.83/3.19
% 2.83/3.19 ** KEPT: 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 2.83/3.19 7 is a new demodulator.
% 2.83/3.19
% 2.83/3.19 ** KEPT: 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 2.83/3.19 8 is a new demodulator.
% 2.83/3.19
% 2.83/3.19 ** KEPT: 9 (wt=19) [] join(meet(A,B),meet(C,join(A,B))) = meet(join(A,B),join(C,meet(A,B))).
% 2.83/3.19
% 2.83/3.19 ** KEPT: 10 (wt=19) [flip(9)] meet(join(A,B),join(C,meet(A,B))) = join(meet(A,B),meet(C,join(A,B))).
% 2.83/3.19 clause forward subsumed: 0 (wt=19) [flip(10)] join(meet(A,B),meet(C,join(A,B))) = meet(join(A,B),join(C,meet(A,B))).
% 2.83/3.19
% 2.83/3.19 ** KEPT: 11 (wt=15) [] -(meet(a,join(b,meet(a,c))) = join(meet(a,b),meet(a,c))).
% 2.83/3.19 ---------------- PROOF FOUND ----------------
% 2.83/3.19 % SZS status Unsatisfiable
% 2.83/3.19
% 2.83/3.19
% 2.83/3.19 After processing input:
% 2.83/3.19
% 2.83/3.19 Usable:
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 Sos:
% 2.83/3.19 1 (wt=5) [] meet(A,A) = A.
% 2.83/3.19 2 (wt=5) [] join(A,A) = A.
% 2.83/3.19 3 (wt=7) [] meet(A,B) = meet(B,A).
% 2.83/3.19 4 (wt=7) [] join(A,B) = join(B,A).
% 2.83/3.19 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 2.83/3.19 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 2.83/3.19 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 2.83/3.19 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 2.83/3.19 11 (wt=15) [] -(meet(a,join(b,meet(a,c))) = join(meet(a,b),meet(a,c))).
% 2.83/3.19 9 (wt=19) [] join(meet(A,B),meet(C,join(A,B))) = meet(join(A,B),join(C,meet(A,B))).
% 2.83/3.19 10 (wt=19) [flip(9)] meet(join(A,B),join(C,meet(A,B))) = join(meet(A,B),meet(C,join(A,B))).
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 Demodulators:
% 2.83/3.19 1 (wt=5) [] meet(A,A) = A.
% 2.83/3.19 2 (wt=5) [] join(A,A) = A.
% 2.83/3.19 5 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 2.83/3.19 6 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 2.83/3.19 7 (wt=15) [] join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)).
% 2.83/3.19 8 (wt=15) [] meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)).
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 Passive:
% 2.83/3.19 end_of_list.
% 2.83/3.19
% 2.83/3.19 UNIT CONFLICT from 11960 and 517 at 1.73 seconds.
% 2.83/3.19
% 2.83/3.19 ---------------- PROOF ----------------
% 2.83/3.19 % SZS output start Refutation
% See solution above
% 2.83/3.19 ------------ end of proof -------------
% 2.83/3.19
% 2.83/3.19
% 2.83/3.19 ------------- memory usage ------------
% 2.83/3.19 Memory dynamically allocated (tp_alloc): 17578.
% 2.83/3.19 type (bytes each) gets frees in use avail bytes
% 2.83/3.19 sym_ent ( 96) 56 0 56 0 5.2 K
% 2.83/3.19 term ( 16) 1832712 1546134 286578 24 5551.0 K
% 2.83/3.19 gen_ptr ( 8) 1508555 331058 1177497 119 9200.1 K
% 2.83/3.19 context ( 808) 951966 951964 2 6 6.3 K
% 2.83/3.19 trail ( 12) 524119 524119 0 6 0.1 K
% 2.83/3.19 bt_node ( 68) 219315 219312 3 14 1.1 K
% 2.83/3.19 ac_position (285432) 0 0 0 0 0.0 K
% 2.83/3.19 ac_match_pos (14044) 0 0 0 0 0.0 K
% 2.83/3.19 ac_match_free_vars_pos (4020)
% 2.83/3.19 0 0 0 0 0.0 K
% 2.83/3.19 discrim ( 12) 152982 46120 106862 1983 1275.5 K
% 2.83/3.19 flat ( 40) 4152863 4152863 0 71 2.8 K
% 2.83/3.19 discrim_pos ( 12) 105315 105315 0 1 0.0 K
% 2.83/3.19 fpa_head ( 12) 5510 0 5510 0 64.6 K
% 2.83/3.19 fpa_tree ( 28) 18050 18050 0 25 0.7 K
% 2.83/3.19 fpa_pos ( 36) 16755 16755 0 1 0.0 K
% 2.83/3.19 literal ( 12) 87101 75141 11960 0 140.2 K
% 2.83/3.19 clause ( 24) 87101 75141 11960 0 280.3 K
% 2.83/3.19 list ( 12) 4854 4796 58 3 0.7 K
% 2.83/3.19 list_pos ( 20) 48436 16947 31489 288 620.6 K
% 2.83/3.19 pair_index ( 40) 2 0 2 0 0.1 K
% 2.83/3.19
% 2.83/3.19 -------------- statistics -------------
% 2.83/3.19 Clauses input 10
% 2.83/3.19 Usable input 0
% 2.83/3.19 Sos input 10
% 2.83/3.19 Demodulators input 0
% 2.83/3.19 Passive input 0
% 2.83/3.19
% 2.83/3.19 Processed BS (before search) 14
% 2.83/3.19 Forward subsumed BS 3
% 2.83/3.19 Kept BS 11
% 2.83/3.19 New demodulators BS 6
% 2.83/3.19 Back demodulated BS 0
% 2.83/3.19
% 2.83/3.19 Clauses or pairs given 27514
% 2.83/3.19 Clauses generated 44344
% 2.83/3.19 Forward subsumed 32395
% 2.83/3.19 Deleted by weight 0
% 2.83/3.19 Deleted by variable count 0
% 2.83/3.19 Kept 11949
% 2.83/3.19 New demodulators 4789
% 2.83/3.19 Back demodulated 3820
% 2.83/3.19 Ordered paramod prunes 0
% 2.83/3.19 Basic paramod prunes 32925
% 2.83/3.19 Prime paramod prunes 936
% 2.83/3.19 Semantic prunes 0
% 2.83/3.19
% 2.83/3.19 Rewrite attmepts 614451
% 2.83/3.19 Rewrites 81681
% 2.83/3.19
% 2.83/3.19 FPA overloads 0
% 2.83/3.19 FPA underloads 0
% 2.83/3.19
% 2.83/3.19 Usable size 0
% 2.83/3.19 Sos size 8139
% 2.83/3.19 Demodulators size 3226
% 2.83/3.19 Passive size 0
% 2.83/3.19 Disabled size 3820
% 2.83/3.19
% 2.83/3.19 Proofs found 1
% 2.83/3.20
% 2.83/3.20 ----------- times (seconds) ----------- Wed Jun 29 00:02:15 2022
% 2.83/3.20
% 2.83/3.20 user CPU time 1.73 (0 hr, 0 min, 1 sec)
% 2.83/3.20 system CPU time 0.54 (0 hr, 0 min, 0 sec)
% 2.83/3.20 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.83/3.20 input time 0.00
% 2.83/3.20 paramodulation time 0.12
% 2.83/3.20 demodulation time 0.14
% 2.83/3.20 orient time 0.10
% 2.83/3.20 weigh time 0.02
% 2.83/3.20 forward subsume time 0.05
% 2.83/3.20 back demod find time 0.23
% 2.83/3.20 conflict time 0.02
% 2.83/3.20 LRPO time 0.05
% 2.83/3.20 store clause time 0.66
% 2.83/3.20 disable clause time 0.24
% 2.83/3.20 prime paramod time 0.03
% 2.83/3.20 semantics time 0.00
% 2.83/3.20
% 2.83/3.20 EQP interrupted
%------------------------------------------------------------------------------