TSTP Solution File: LAT026-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT026-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n009.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 04:34:20 EDT 2022
% Result : Unsatisfiable 4.21s 4.62s
% Output : Refutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of clauses : 111 ( 111 unt; 0 nHn; 2 RR)
% Number of literals : 111 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 310 ( 86 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT026-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(A,A),A),
file('LAT026-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,B),meet(B,A)),
file('LAT026-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,B),join(B,A)),
file('LAT026-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(meet(join(A,B),join(C,B)),B),B),
file('LAT026-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(join(meet(A,B),meet(C,B)),B),B),
file('LAT026-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(A,join(B,join(A,C))),A),
file('LAT026-1.p',unknown),
[] ).
cnf(8,plain,
~ equal(meet(meet(a,b),c),meet(a,meet(b,c))),
file('LAT026-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[2,7]),
[iquote('para(2,7)')] ).
cnf(10,plain,
equal(meet(A,join(A,B)),A),
inference(para,[status(thm),theory(equality)],[2,7]),
[iquote('para(2,7)')] ).
cnf(11,plain,
equal(meet(join(A,B),B),B),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(12,plain,
equal(meet(join(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[10,3]),1]),
[iquote('para(10,3),flip(1)')] ).
cnf(14,plain,
equal(meet(meet(join(A,B),join(C,A)),A),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(15,plain,
equal(meet(meet(join(A,B),join(B,C)),B),B),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(18,plain,
equal(join(meet(A,B),B),B),
inference(para,[status(thm),theory(equality)],[2,6]),
[iquote('para(2,6)')] ).
cnf(19,plain,
equal(join(A,meet(B,A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,4]),1]),
[iquote('para(18,4),flip(1)')] ).
cnf(20,plain,
equal(join(join(meet(A,B),meet(C,A)),A),A),
inference(para,[status(thm),theory(equality)],[3,6]),
[iquote('para(3,6)')] ).
cnf(21,plain,
equal(join(join(meet(A,B),meet(B,C)),B),B),
inference(para,[status(thm),theory(equality)],[3,6]),
[iquote('para(3,6)')] ).
cnf(25,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(26,plain,
equal(meet(A,join(join(A,B),C)),A),
inference(para,[status(thm),theory(equality)],[4,7]),
[iquote('para(4,7)')] ).
cnf(27,plain,
equal(join(join(A,meet(B,join(C,join(A,D)))),join(C,join(A,D))),join(C,join(A,D))),
inference(para,[status(thm),theory(equality)],[7,6]),
[iquote('para(7,6)')] ).
cnf(28,plain,
equal(join(join(meet(A,join(B,join(C,D))),C),join(B,join(C,D))),join(B,join(C,D))),
inference(para,[status(thm),theory(equality)],[7,6]),
[iquote('para(7,6)')] ).
cnf(34,plain,
equal(meet(A,join(join(B,A),C)),A),
inference(para,[status(thm),theory(equality)],[4,25]),
[iquote('para(4,25)')] ).
cnf(36,plain,
equal(join(join(A,meet(B,join(C,A))),join(C,A)),join(C,A)),
inference(para,[status(thm),theory(equality)],[9,6]),
[iquote('para(9,6)')] ).
cnf(37,plain,
equal(join(join(meet(A,join(B,C)),C),join(B,C)),join(B,C)),
inference(para,[status(thm),theory(equality)],[9,6]),
[iquote('para(9,6)')] ).
cnf(38,plain,
equal(join(join(A,meet(B,join(A,C))),join(A,C)),join(A,C)),
inference(para,[status(thm),theory(equality)],[10,6]),
[iquote('para(10,6)')] ).
cnf(41,plain,
equal(join(join(meet(A,B),A),A),A),
inference(para,[status(thm),theory(equality)],[1,20]),
[iquote('para(1,20)')] ).
cnf(42,plain,
equal(join(A,join(meet(A,B),A)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[41,4]),1]),
[iquote('para(41,4),flip(1)')] ).
cnf(46,plain,
equal(join(join(A,join(B,A)),join(B,A)),join(B,A)),
inference(para,[status(thm),theory(equality)],[11,41]),
[iquote('para(11,41)')] ).
cnf(47,plain,
equal(join(join(A,join(A,B)),join(A,B)),join(A,B)),
inference(para,[status(thm),theory(equality)],[12,41]),
[iquote('para(12,41)')] ).
cnf(48,plain,
equal(join(meet(A,B),A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[42,9]),11]),1]),
[iquote('para(42,9),demod([11]),flip(1)')] ).
cnf(49,plain,
equal(join(A,meet(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[48,4]),1]),
[iquote('para(48,4),flip(1)')] ).
cnf(51,plain,
equal(meet(A,meet(join(A,B),join(C,A))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,3]),1]),
[iquote('para(14,3),flip(1)')] ).
cnf(52,plain,
equal(meet(meet(A,B),join(C,A)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[48,7]),
[iquote('para(48,7)')] ).
cnf(58,plain,
equal(meet(meet(A,join(B,meet(C,A))),meet(C,A)),meet(C,A)),
inference(para,[status(thm),theory(equality)],[18,14]),
[iquote('para(18,14)')] ).
cnf(60,plain,
equal(join(join(meet(A,B),meet(A,C)),A),A),
inference(para,[status(thm),theory(equality)],[3,20]),
[iquote('para(3,20)')] ).
cnf(66,plain,
equal(meet(meet(A,join(B,meet(A,C))),meet(A,C)),meet(A,C)),
inference(para,[status(thm),theory(equality)],[48,14]),
[iquote('para(48,14)')] ).
cnf(70,plain,
equal(join(A,join(meet(B,A),meet(A,C))),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[21,4]),1]),
[iquote('para(21,4),flip(1)')] ).
cnf(74,plain,
equal(meet(meet(A,join(B,join(meet(A,C),meet(D,A)))),join(meet(A,C),meet(D,A))),join(meet(A,C),meet(D,A))),
inference(para,[status(thm),theory(equality)],[20,14]),
[iquote('para(20,14)')] ).
cnf(89,plain,
equal(meet(meet(join(meet(A,B),C),A),meet(A,B)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[49,14]),
[iquote('para(49,14)')] ).
cnf(93,plain,
equal(meet(meet(A,B),join(A,C)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[4,52]),
[iquote('para(4,52)')] ).
cnf(120,plain,
equal(join(join(A,B),join(B,join(A,C))),join(B,join(A,C))),
inference(para,[status(thm),theory(equality)],[10,27]),
[iquote('para(10,27)')] ).
cnf(127,plain,
equal(join(join(join(A,join(B,C)),B),join(A,join(B,C))),join(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[1,28]),
[iquote('para(1,28)')] ).
cnf(142,plain,
equal(join(A,join(B,A)),join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,46]),120]),
[iquote('para(4,46),demod([120])')] ).
cnf(143,plain,
equal(join(join(A,B),B),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[142,4]),1]),
[iquote('para(142,4),flip(1)')] ).
cnf(144,plain,
equal(join(A,join(A,B)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[47]),143]),
[iquote('back_demod(47),demod([143])')] ).
cnf(149,plain,
equal(join(join(A,B),A),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[144,4]),1]),
[iquote('para(144,4),flip(1)')] ).
cnf(150,plain,
equal(join(join(A,join(B,C)),B),join(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[127]),149]),
[iquote('back_demod(127),demod([149])')] ).
cnf(167,plain,
equal(join(join(A,B),join(B,A)),join(B,A)),
inference(para,[status(thm),theory(equality)],[10,36]),
[iquote('para(10,36)')] ).
cnf(174,plain,
equal(join(join(A,B),join(join(C,B),A)),join(join(C,B),A)),
inference(para,[status(thm),theory(equality)],[34,36]),
[iquote('para(34,36)')] ).
cnf(177,plain,
equal(join(join(A,B),meet(C,B)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,150]),18]),
[iquote('para(18,150),demod([18])')] ).
cnf(179,plain,
equal(join(join(A,B),meet(C,A)),join(B,A)),
inference(para,[status(thm),theory(equality)],[4,177]),
[iquote('para(4,177)')] ).
cnf(187,plain,
equal(join(A,meet(B,meet(A,C))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[49,177]),49]),
[iquote('para(49,177),demod([49])')] ).
cnf(189,plain,
equal(join(join(A,B),join(join(A,C),B)),join(join(A,C),B)),
inference(para,[status(thm),theory(equality)],[26,37]),
[iquote('para(26,37)')] ).
cnf(192,plain,
equal(join(A,B),join(meet(C,B),join(B,A))),
inference(para,[status(thm),theory(equality)],[179,4]),
[iquote('para(179,4)')] ).
cnf(195,plain,
equal(join(meet(A,B),join(B,C)),join(B,C)),
inference(para,[status(thm),theory(equality)],[192,4]),
[iquote('para(192,4)')] ).
cnf(204,plain,
equal(meet(meet(join(A,join(B,meet(C,join(B,D)))),join(B,D)),join(B,meet(C,join(B,D)))),join(B,meet(C,join(B,D)))),
inference(para,[status(thm),theory(equality)],[38,15]),
[iquote('para(38,15)')] ).
cnf(232,plain,
equal(join(join(A,B),meet(B,C)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[48,150]),48]),
[iquote('para(48,150),demod([48])')] ).
cnf(234,plain,
equal(join(join(A,B),meet(A,C)),join(B,A)),
inference(para,[status(thm),theory(equality)],[4,232]),
[iquote('para(4,232)')] ).
cnf(237,plain,
equal(join(A,meet(meet(B,A),C)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,232]),19]),
[iquote('para(19,232),demod([19])')] ).
cnf(240,plain,
equal(join(A,meet(meet(A,B),C)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[49,232]),49]),
[iquote('para(49,232),demod([49])')] ).
cnf(247,plain,
equal(join(A,B),join(meet(B,C),join(B,A))),
inference(para,[status(thm),theory(equality)],[234,4]),
[iquote('para(234,4)')] ).
cnf(250,plain,
equal(join(meet(A,B),join(A,C)),join(A,C)),
inference(para,[status(thm),theory(equality)],[247,4]),
[iquote('para(247,4)')] ).
cnf(268,plain,
equal(join(join(meet(meet(join(A,B),join(C,A)),D),A),meet(join(A,B),join(C,A))),meet(join(A,B),join(C,A))),
inference(para,[status(thm),theory(equality)],[51,20]),
[iquote('para(51,20)')] ).
cnf(500,plain,
equal(meet(meet(join(A,B),join(C,meet(A,D))),meet(A,D)),meet(A,D)),
inference(para,[status(thm),theory(equality)],[250,14]),
[iquote('para(250,14)')] ).
cnf(658,plain,
equal(join(meet(A,B),meet(B,A)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[70,74]),10]),1]),
[iquote('para(70,74),demod([10]),flip(1)')] ).
cnf(910,plain,
equal(join(join(A,join(B,C)),join(B,A)),join(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[120,4]),1]),
[iquote('para(120,4),flip(1)')] ).
cnf(916,plain,
equal(join(join(join(A,B),C),join(C,B)),join(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[174,4]),1]),
[iquote('para(174,4),flip(1)')] ).
cnf(918,plain,
equal(join(join(join(A,B),C),join(A,C)),join(join(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[189,4]),1]),
[iquote('para(189,4),flip(1)')] ).
cnf(980,plain,
equal(join(join(A,meet(B,C)),join(B,A)),join(B,A)),
inference(para,[status(thm),theory(equality)],[93,36]),
[iquote('para(93,36)')] ).
cnf(983,plain,
equal(join(join(meet(A,B),C),join(A,C)),join(A,C)),
inference(para,[status(thm),theory(equality)],[4,980]),
[iquote('para(4,980)')] ).
cnf(1095,plain,
equal(meet(join(A,B),join(B,join(A,C))),join(A,B)),
inference(para,[status(thm),theory(equality)],[910,9]),
[iquote('para(910,9)')] ).
cnf(1096,plain,
equal(meet(join(A,join(B,C)),join(B,A)),join(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1095,3]),1]),
[iquote('para(1095,3),flip(1)')] ).
cnf(3519,plain,
equal(meet(meet(A,B),meet(A,meet(B,C))),meet(A,meet(B,C))),
inference(para,[status(thm),theory(equality)],[187,66]),
[iquote('para(187,66)')] ).
cnf(3531,plain,
equal(meet(meet(A,B),meet(meet(C,B),A)),meet(meet(C,B),A)),
inference(para,[status(thm),theory(equality)],[237,58]),
[iquote('para(237,58)')] ).
cnf(3533,plain,
equal(meet(meet(A,B),meet(meet(C,A),B)),meet(meet(C,A),B)),
inference(para,[status(thm),theory(equality)],[3,3531]),
[iquote('para(3,3531)')] ).
cnf(3534,plain,
equal(meet(meet(meet(A,B),C),meet(B,C)),meet(meet(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3533,3]),1]),
[iquote('para(3533,3),flip(1)')] ).
cnf(3560,plain,
equal(meet(meet(A,B),meet(meet(B,C),A)),meet(meet(B,C),A)),
inference(para,[status(thm),theory(equality)],[240,58]),
[iquote('para(240,58)')] ).
cnf(3562,plain,
equal(meet(meet(A,B),meet(meet(A,C),B)),meet(meet(A,C),B)),
inference(para,[status(thm),theory(equality)],[3,3560]),
[iquote('para(3,3560)')] ).
cnf(3563,plain,
equal(meet(meet(meet(A,B),C),meet(A,C)),meet(meet(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3562,3]),1]),
[iquote('para(3562,3),flip(1)')] ).
cnf(3861,plain,
equal(meet(meet(A,join(B,C)),meet(A,C)),meet(A,C)),
inference(para,[status(thm),theory(equality)],[177,66]),
[iquote('para(177,66)')] ).
cnf(3862,plain,
equal(meet(meet(A,B),meet(A,join(C,B))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3861,3]),1]),
[iquote('para(3861,3),flip(1)')] ).
cnf(4207,plain,
equal(meet(meet(join(A,B),C),meet(C,A)),meet(C,A)),
inference(para,[status(thm),theory(equality)],[195,89]),
[iquote('para(195,89)')] ).
cnf(4224,plain,
equal(meet(meet(join(A,B),C),meet(C,join(B,A))),meet(C,join(B,A))),
inference(para,[status(thm),theory(equality)],[167,4207]),
[iquote('para(167,4207)')] ).
cnf(4345,plain,
equal(meet(meet(join(A,B),C),meet(A,C)),meet(A,C)),
inference(para,[status(thm),theory(equality)],[19,500]),
[iquote('para(19,500)')] ).
cnf(4347,plain,
equal(meet(meet(A,join(B,C)),meet(B,A)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[3,4345]),
[iquote('para(3,4345)')] ).
cnf(4365,plain,
equal(meet(meet(join(A,B),C),meet(join(B,A),C)),meet(join(B,A),C)),
inference(para,[status(thm),theory(equality)],[167,4345]),
[iquote('para(167,4345)')] ).
cnf(4386,plain,
equal(join(join(meet(meet(A,join(B,C)),D),meet(B,A)),meet(A,join(B,C))),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[4347,60]),
[iquote('para(4347,60)')] ).
cnf(4662,plain,
equal(meet(meet(A,join(B,C)),meet(join(C,B),A)),meet(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4224,3]),1]),
[iquote('para(4224,3),flip(1)')] ).
cnf(4691,plain,
equal(meet(A,join(B,C)),meet(join(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,4365]),4662]),
[iquote('para(3,4365),demod([4662])')] ).
cnf(4692,plain,
equal(meet(join(A,B),C),meet(C,join(B,A))),
inference(flip,[status(thm),theory(equality)],[4691]),
[iquote('flip(4691)')] ).
cnf(4709,plain,
equal(meet(A,meet(B,C)),meet(meet(C,B),A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[658,4691]),658]),
[iquote('para(658,4691),demod([658])')] ).
cnf(8108,plain,
equal(join(join(A,meet(B,join(A,C))),C),join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[204,268]),1096,918,1096]),
[iquote('para(204,268),demod([1096,918,1096])')] ).
cnf(8133,plain,
equal(join(join(A,B),join(B,C)),join(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[7,8108]),
[iquote('para(7,8108)')] ).
cnf(8145,plain,
equal(join(join(A,B),join(C,B)),join(join(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[916]),8133]),
[iquote('back_demod(916),demod([8133])')] ).
cnf(8162,plain,
equal(join(join(meet(A,B),C),A),join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[983]),8145]),
[iquote('back_demod(983),demod([8145])')] ).
cnf(8168,plain,
equal(join(meet(A,join(B,C)),meet(B,A)),meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4386]),8162]),
[iquote('back_demod(4386),demod([8162])')] ).
cnf(9187,plain,
equal(join(meet(A,B),meet(meet(C,B),A)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,8168]),18]),
[iquote('para(18,8168),demod([18])')] ).
cnf(9235,plain,
equal(join(meet(A,B),meet(meet(B,C),A)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[48,8168]),48]),
[iquote('para(48,8168),demod([48])')] ).
cnf(9236,plain,
equal(join(meet(A,B),meet(meet(A,C),B)),meet(B,A)),
inference(para,[status(thm),theory(equality)],[3,9235]),
[iquote('para(3,9235)')] ).
cnf(9241,plain,
equal(meet(A,B),join(meet(meet(B,C),A),meet(B,A))),
inference(para,[status(thm),theory(equality)],[9236,4]),
[iquote('para(9236,4)')] ).
cnf(9247,plain,
equal(join(meet(meet(A,B),C),meet(A,C)),meet(A,C)),
inference(para,[status(thm),theory(equality)],[9241,3]),
[iquote('para(9241,3)')] ).
cnf(11990,plain,
equal(meet(meet(A,join(B,C)),C),meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3862,9187]),9247]),1]),
[iquote('para(3862,9187),demod([9247]),flip(1)')] ).
cnf(12034,plain,
equal(meet(A,meet(B,join(C,A))),meet(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11990,3]),1]),
[iquote('para(11990,3),flip(1)')] ).
cnf(12040,plain,
equal(meet(meet(join(A,B),C),B),meet(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12034,4709]),1]),
[iquote('para(12034,4709),flip(1)')] ).
cnf(12055,plain,
equal(meet(meet(A,join(B,C)),B),meet(A,B)),
inference(para,[status(thm),theory(equality)],[4692,12040]),
[iquote('para(4692,12040)')] ).
cnf(12058,plain,
equal(meet(meet(A,B),meet(C,B)),meet(A,meet(C,B))),
inference(para,[status(thm),theory(equality)],[18,12055]),
[iquote('para(18,12055)')] ).
cnf(12088,plain,
equal(meet(meet(A,B),meet(A,C)),meet(meet(A,B),C)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3563]),12058]),
[iquote('back_demod(3563),demod([12058])')] ).
cnf(12098,plain,
equal(meet(meet(A,B),meet(B,C)),meet(A,meet(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3519]),12088]),
[iquote('back_demod(3519),demod([12088])')] ).
cnf(12161,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3534]),12058,12098]),1]),
[iquote('back_demod(3534),demod([12058,12098]),flip(1)')] ).
cnf(12162,plain,
$false,
inference(conflict,[status(thm)],[12161,8]),
[iquote('conflict(12161,8)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT026-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 16:57:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.21/4.62 ----- EQP 0.9e, May 2009 -----
% 4.21/4.62 The job began on n009.cluster.edu, Wed Jun 29 16:57:23 2022
% 4.21/4.62 The command was "./eqp09e".
% 4.21/4.62
% 4.21/4.62 set(prolog_style_variables).
% 4.21/4.62 set(lrpo).
% 4.21/4.62 set(basic_paramod).
% 4.21/4.62 set(functional_subsume).
% 4.21/4.62 set(ordered_paramod).
% 4.21/4.62 set(prime_paramod).
% 4.21/4.62 set(para_pairs).
% 4.21/4.62 assign(pick_given_ratio,4).
% 4.21/4.62 clear(print_kept).
% 4.21/4.62 clear(print_new_demod).
% 4.21/4.62 clear(print_back_demod).
% 4.21/4.62 clear(print_given).
% 4.21/4.62 assign(max_mem,64000).
% 4.21/4.62 end_of_commands.
% 4.21/4.62
% 4.21/4.62 Usable:
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 Sos:
% 4.21/4.62 0 (wt=-1) [] meet(A,A) = A.
% 4.21/4.62 0 (wt=-1) [] join(A,A) = A.
% 4.21/4.62 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 4.21/4.62 0 (wt=-1) [] join(A,B) = join(B,A).
% 4.21/4.62 0 (wt=-1) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 4.21/4.62 0 (wt=-1) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 4.21/4.62 0 (wt=-1) [] meet(A,join(B,join(A,C))) = A.
% 4.21/4.62 0 (wt=-1) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 Demodulators:
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 Passive:
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 Starting to process input.
% 4.21/4.62
% 4.21/4.62 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 4.21/4.62 1 is a new demodulator.
% 4.21/4.62
% 4.21/4.62 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 4.21/4.62 2 is a new demodulator.
% 4.21/4.62
% 4.21/4.62 ** KEPT: 3 (wt=7) [] meet(A,B) = meet(B,A).
% 4.21/4.62 clause forward subsumed: 0 (wt=7) [flip(3)] meet(B,A) = meet(A,B).
% 4.21/4.62
% 4.21/4.62 ** KEPT: 4 (wt=7) [] join(A,B) = join(B,A).
% 4.21/4.62 clause forward subsumed: 0 (wt=7) [flip(4)] join(B,A) = join(A,B).
% 4.21/4.62
% 4.21/4.62 ** KEPT: 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 4.21/4.62 5 is a new demodulator.
% 4.21/4.62
% 4.21/4.62 ** KEPT: 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 4.21/4.62 6 is a new demodulator.
% 4.21/4.62
% 4.21/4.62 ** KEPT: 7 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 4.21/4.62 7 is a new demodulator.
% 4.21/4.62
% 4.21/4.62 ** KEPT: 8 (wt=11) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 4.21/4.62 ---------------- PROOF FOUND ----------------
% 4.21/4.62 % SZS status Unsatisfiable
% 4.21/4.62
% 4.21/4.62
% 4.21/4.62 After processing input:
% 4.21/4.62
% 4.21/4.62 Usable:
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 Sos:
% 4.21/4.62 1 (wt=5) [] meet(A,A) = A.
% 4.21/4.62 2 (wt=5) [] join(A,A) = A.
% 4.21/4.62 3 (wt=7) [] meet(A,B) = meet(B,A).
% 4.21/4.62 4 (wt=7) [] join(A,B) = join(B,A).
% 4.21/4.62 7 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 4.21/4.62 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 4.21/4.62 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 4.21/4.62 8 (wt=11) [] -(meet(meet(a,b),c) = meet(a,meet(b,c))).
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 Demodulators:
% 4.21/4.62 1 (wt=5) [] meet(A,A) = A.
% 4.21/4.62 2 (wt=5) [] join(A,A) = A.
% 4.21/4.62 5 (wt=11) [] meet(meet(join(A,B),join(C,B)),B) = B.
% 4.21/4.62 6 (wt=11) [] join(join(meet(A,B),meet(C,B)),B) = B.
% 4.21/4.62 7 (wt=9) [] meet(A,join(B,join(A,C))) = A.
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 Passive:
% 4.21/4.62 end_of_list.
% 4.21/4.62
% 4.21/4.62 UNIT CONFLICT from 12161 and 8 at 2.32 seconds.
% 4.21/4.62
% 4.21/4.62 ---------------- PROOF ----------------
% 4.21/4.62 % SZS output start Refutation
% See solution above
% 4.21/4.62 ------------ end of proof -------------
% 4.21/4.62
% 4.21/4.62
% 4.21/4.62 ------------- memory usage ------------
% 4.21/4.62 Memory dynamically allocated (tp_alloc): 18554.
% 4.21/4.62 type (bytes each) gets frees in use avail bytes
% 4.21/4.62 sym_ent ( 96) 56 0 56 0 5.2 K
% 4.21/4.62 term ( 16) 3068159 2788480 279679 30 5415.6 K
% 4.21/4.62 gen_ptr ( 8) 1910278 720865 1189413 110 9293.1 K
% 4.21/4.62 context ( 808) 1943442 1943440 2 6 6.3 K
% 4.21/4.62 trail ( 12) 491419 491419 0 8 0.1 K
% 4.21/4.62 bt_node ( 68) 877269 877266 3 30 2.2 K
% 4.21/4.62 ac_position (285432) 0 0 0 0 0.0 K
% 4.21/4.62 ac_match_pos (14044) 0 0 0 0 0.0 K
% 4.21/4.62 ac_match_free_vars_pos (4020)
% 4.21/4.62 0 0 0 0 0.0 K
% 4.21/4.62 discrim ( 12) 219854 117970 101884 47645 1752.3 K
% 4.21/4.62 flat ( 40) 6223545 6223545 0 49 1.9 K
% 4.21/4.62 discrim_pos ( 12) 130669 130669 0 1 0.0 K
% 4.21/4.62 fpa_head ( 12) 17592 0 17592 0 206.2 K
% 4.21/4.62 fpa_tree ( 28) 44862 44862 0 19 0.5 K
% 4.21/4.62 fpa_pos ( 36) 23350 23350 0 1 0.0 K
% 4.21/4.62 literal ( 12) 113632 101471 12161 1 142.5 K
% 4.21/4.62 clause ( 24) 113632 101471 12161 1 285.0 K
% 4.21/4.62 list ( 12) 11248 11190 58 6 0.8 K
% 4.21/4.62 list_pos ( 20) 59850 29694 30156 2122 630.4 K
% 4.21/4.62 pair_index ( 40) 2 0 2 0 0.1 K
% 4.21/4.62
% 4.21/4.62 -------------- statistics -------------
% 4.21/4.62 Clauses input 8
% 4.21/4.62 Usable input 0
% 4.21/4.62 Sos input 8
% 4.21/4.62 Demodulators input 0
% 4.21/4.62 Passive input 0
% 4.21/4.62
% 4.21/4.62 Processed BS (before search) 10
% 4.21/4.62 Forward subsumed BS 2
% 4.21/4.62 Kept BS 8
% 4.21/4.62 New demodulators BS 5
% 4.21/4.62 Back demodulated BS 0
% 4.21/4.62
% 4.21/4.62 Clauses or pairs given 161808
% 4.21/4.62 Clauses generated 88160
% 4.21/4.62 Forward subsumed 76007
% 4.21/4.62 Deleted by weight 0
% 4.21/4.62 Deleted by variable count 0
% 4.21/4.62 Kept 12153
% 4.21/4.62 New demodulators 11184
% 4.21/4.62 Back demodulated 6044
% 4.21/4.62 Ordered paramod prunes 0
% 4.21/4.62 Basic paramod prunes 829298
% 4.21/4.62 Prime paramod prunes 1376
% 4.21/4.62 Semantic prunes 0
% 4.21/4.62
% 4.21/4.62 Rewrite attmepts 862741
% 4.21/4.62 Rewrites 117714
% 4.21/4.62
% 4.21/4.62 FPA overloads 0
% 4.21/4.62 FPA underloads 0
% 4.21/4.62
% 4.21/4.62 Usable size 0
% 4.21/4.62 Sos size 6116
% 4.21/4.62 Demodulators size 5717
% 4.21/4.62 Passive size 0
% 4.21/4.62 Disabled size 6044
% 4.21/4.62
% 4.21/4.62 Proofs found 1
% 4.21/4.62
% 4.21/4.62 ----------- times (seconds) ----------- Wed Jun 29 16:57:26 2022
% 4.21/4.62
% 4.21/4.62 user CPU time 2.32 (0 hr, 0 min, 2 sec)
% 4.21/4.62 system CPU time 1.25 (0 hr, 0 min, 1 sec)
% 4.21/4.62 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 4.21/4.62 input time 0.00
% 4.21/4.62 paramodulation time 0.36
% 4.21/4.62 demodulation time 0.20
% 4.21/4.62 orient time 0.14
% 4.21/4.62 weigh time 0.03
% 4.21/4.62 forward subsume time 0.05
% 4.21/4.62 back demod find time 0.28
% 4.21/4.62 conflict time 0.01
% 4.21/4.62 LRPO time 0.06
% 4.21/4.62 store clause time 0.58
% 4.21/4.62 disable clause time 0.34
% 4.21/4.62 prime paramod time 0.11
% 4.21/4.62 semantics time 0.00
% 4.21/4.62
% 4.21/4.62 EQP interrupted
%------------------------------------------------------------------------------