TSTP Solution File: LAT023-1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:01:48 EDT 2022
% Result : Unsatisfiable 4.56s 4.78s
% Output : Refutation 4.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of clauses : 100 ( 100 unt; 0 nHn; 3 RR)
% Number of literals : 100 ( 99 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 266 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('LAT023-1.p',unknown),
[] ).
cnf(4,axiom,
meet(A,A) = A,
file('LAT023-1.p',unknown),
[] ).
cnf(6,axiom,
join(A,A) = A,
file('LAT023-1.p',unknown),
[] ).
cnf(7,axiom,
meet(A,B) = meet(B,A),
file('LAT023-1.p',unknown),
[] ).
cnf(8,axiom,
join(A,B) = join(B,A),
file('LAT023-1.p',unknown),
[] ).
cnf(10,axiom,
meet(meet(A,B),C) = meet(A,meet(B,C)),
file('LAT023-1.p',unknown),
[] ).
cnf(12,axiom,
join(join(A,B),C) = join(A,join(B,C)),
file('LAT023-1.p',unknown),
[] ).
cnf(13,axiom,
join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)),
file('LAT023-1.p',unknown),
[] ).
cnf(16,axiom,
meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)),
file('LAT023-1.p',unknown),
[] ).
cnf(17,axiom,
join(meet(join(A,B),C),B) = join(meet(join(C,B),A),B),
file('LAT023-1.p',unknown),
[] ).
cnf(20,plain,
meet(a,join(meet(a,c),b)) != join(meet(a,b),meet(a,c)),
inference(para_from,[status(thm),theory(equality)],[8,1]),
[iquote('para_from,8.1.1,1.1.1.2')] ).
cnf(21,plain,
meet(A,meet(B,C)) = meet(B,meet(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[10,7]),10]),
[iquote('para_into,9.1.1.1,7.1.1,demod,10')] ).
cnf(23,plain,
meet(A,meet(A,B)) = meet(A,B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[10,4])]),
[iquote('para_into,9.1.1.1,3.1.1,flip.1')] ).
cnf(24,plain,
meet(A,meet(B,C)) = meet(B,meet(C,A)),
inference(para_into,[status(thm),theory(equality)],[10,7]),
[iquote('para_into,9.1.1,7.1.1')] ).
cnf(30,plain,
meet(A,meet(B,A)) = meet(A,B),
inference(para_into,[status(thm),theory(equality)],[23,7]),
[iquote('para_into,22.1.1.2,7.1.1')] ).
cnf(34,plain,
meet(A,meet(B,meet(A,C))) = meet(A,meet(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[30,10]),10,10])]),
[iquote('para_from,30.1.1,9.1.1.1,demod,10,10,flip.1')] ).
cnf(36,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[12,8]),12]),
[iquote('para_into,11.1.1.1,8.1.1,demod,12')] ).
cnf(38,plain,
join(A,join(A,B)) = join(A,B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[12,6])]),
[iquote('para_into,11.1.1.1,5.1.1,flip.1')] ).
cnf(39,plain,
join(A,join(B,C)) = join(B,join(C,A)),
inference(para_into,[status(thm),theory(equality)],[12,8]),
[iquote('para_into,11.1.1,8.1.1')] ).
cnf(42,plain,
join(A,join(B,C)) = join(C,join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[39])]),
[iquote('copy,39,flip.1')] ).
cnf(46,plain,
join(A,join(B,A)) = join(A,B),
inference(para_into,[status(thm),theory(equality)],[38,8]),
[iquote('para_into,37.1.1.2,8.1.1')] ).
cnf(50,plain,
join(meet(A,meet(B,join(C,D))),meet(A,meet(B,C))) = meet(A,meet(B,join(C,D))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[13,10]),10,10]),
[iquote('para_into,13.1.1.1,9.1.1,demod,10,10')] ).
cnf(59,plain,
join(meet(A,join(B,C)),meet(B,A)) = meet(A,join(B,C)),
inference(para_into,[status(thm),theory(equality)],[13,7]),
[iquote('para_into,13.1.1.2,7.1.1')] ).
cnf(61,plain,
join(meet(A,join(A,B)),A) = meet(A,join(A,B)),
inference(para_into,[status(thm),theory(equality)],[13,4]),
[iquote('para_into,13.1.1.2,3.1.1')] ).
cnf(64,plain,
join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)),
inference(para_into,[status(thm),theory(equality)],[13,8]),
[iquote('para_into,13.1.1,8.1.1')] ).
cnf(70,plain,
join(A,join(B,join(C,A))) = join(A,join(B,C)),
inference(para_into,[status(thm),theory(equality)],[46,12]),
[iquote('para_into,45.1.1.2,11.1.1')] ).
cnf(81,plain,
meet(A,meet(B,C)) = meet(C,meet(B,A)),
inference(para_into,[status(thm),theory(equality)],[24,7]),
[iquote('para_into,24.1.1.2,7.1.1')] ).
cnf(107,plain,
meet(join(meet(A,B),C),join(C,A)) = join(C,meet(A,B)),
inference(para_into,[status(thm),theory(equality)],[16,8]),
[iquote('para_into,15.1.1.1,8.1.1')] ).
cnf(112,plain,
meet(join(A,meet(join(A,B),C)),join(A,B)) = join(A,meet(join(A,B),C)),
inference(para_into,[status(thm),theory(equality)],[16,38]),
[iquote('para_into,15.1.1.2,37.1.1')] ).
cnf(121,plain,
meet(join(A,B),join(A,meet(B,C))) = join(A,meet(B,C)),
inference(para_into,[status(thm),theory(equality)],[16,7]),
[iquote('para_into,15.1.1,7.1.1')] ).
cnf(134,plain,
join(A,join(B,C)) = join(A,join(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[36,8]),12]),
[iquote('para_into,36.1.1,8.1.1,demod,12')] ).
cnf(143,plain,
join(A,join(B,C)) = join(C,join(B,A)),
inference(para_into,[status(thm),theory(equality)],[39,8]),
[iquote('para_into,39.1.1.2,8.1.1')] ).
cnf(153,plain,
join(meet(A,B),join(C,meet(A,join(B,D)))) = join(C,meet(A,join(B,D))),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[42,13])]),
[iquote('para_into,42.1.1.2,13.1.1,flip.1')] ).
cnf(181,plain,
join(meet(join(A,B),B),B) = join(meet(B,A),B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[17,6])]),
[iquote('para_into,17.1.1.1.1,5.1.1,flip.1')] ).
cnf(193,plain,
join(meet(join(A,B),C),B) = join(meet(A,join(C,B)),B),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[17,7])]),
[iquote('para_into,17.1.1.1,7.1.1,flip.1')] ).
cnf(194,plain,
join(meet(A,join(A,B)),B) = join(A,B),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[17,4]),12,6,12,6,193])]),
[iquote('para_into,17.1.1.1,3.1.1,demod,12,6,12,6,193,flip.1')] ).
cnf(215,plain,
join(meet(A,B),B) = join(meet(B,A),B),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[181]),193,6]),
[iquote('back_demod,181,demod,193,6')] ).
cnf(269,plain,
join(meet(A,join(B,A)),B) = join(A,B),
inference(para_into,[status(thm),theory(equality)],[194,8]),
[iquote('para_into,194.1.1.1.2,8.1.1')] ).
cnf(282,plain,
join(A,meet(B,join(B,A))) = join(B,A),
inference(para_into,[status(thm),theory(equality)],[194,8]),
[iquote('para_into,194.1.1,8.1.1')] ).
cnf(303,plain,
join(meet(A,B),meet(B,A)) = meet(B,A),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[215,30]),10,4,6]),
[iquote('para_into,215.1.1.1,30.1.1,demod,10,4,6')] ).
cnf(408,plain,
join(meet(join(A,B),B),A) = join(B,A),
inference(para_into,[status(thm),theory(equality)],[269,7]),
[iquote('para_into,269.1.1.1,7.1.1')] ).
cnf(459,plain,
meet(join(A,B),join(B,A)) = join(A,B),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[282,16]),282]),
[iquote('para_from,281.1.1,15.1.1.1,demod,282')] ).
cnf(460,plain,
join(meet(A,join(B,C)),meet(A,C)) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[282,13]),282]),
[iquote('para_from,281.1.1,13.1.1.1.2,demod,282')] ).
cnf(479,plain,
join(A,meet(B,C)) = join(meet(B,C),join(meet(C,B),A)),
inference(para_from,[status(thm),theory(equality)],[303,143]),
[iquote('para_from,302.1.1,143.1.1.2')] ).
cnf(480,plain,
join(A,meet(B,C)) = join(A,meet(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[303,134]),303]),
[iquote('para_from,302.1.1,134.1.1.2,demod,303')] ).
cnf(488,plain,
join(meet(A,B),join(meet(B,A),C)) = join(meet(B,A),C),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[303,12])]),
[iquote('para_from,302.1.1,11.1.1.1,flip.1')] ).
cnf(489,plain,
join(meet(A,B),C) = join(C,meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[479])]),488]),
[iquote('copy,479,flip.1,demod,488')] ).
cnf(490,plain,
join(A,meet(B,C)) = join(meet(C,B),A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[479]),488]),
[iquote('back_demod,479,demod,488')] ).
cnf(516,plain,
join(meet(A,meet(B,join(C,meet(B,A)))),C) = join(meet(B,A),C),
inference(para_into,[status(thm),theory(equality)],[408,81]),
[iquote('para_into,407.1.1.1,81.1.1')] ).
cnf(534,plain,
join(A,meet(join(A,B),B)) = join(B,A),
inference(para_into,[status(thm),theory(equality)],[408,8]),
[iquote('para_into,407.1.1,8.1.1')] ).
cnf(552,plain,
join(meet(join(A,B),B),join(B,A)) = join(B,A),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[408,38]),408]),
[iquote('para_from,407.1.1,37.1.1.2,demod,408')] ).
cnf(641,plain,
meet(A,join(B,C)) = meet(join(C,B),meet(join(B,C),A)),
inference(para_from,[status(thm),theory(equality)],[459,81]),
[iquote('para_from,458.1.1,81.1.1.2')] ).
cnf(648,plain,
meet(join(A,B),meet(join(B,A),C)) = meet(join(A,B),C),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[459,10])]),
[iquote('para_from,458.1.1,9.1.1.1,flip.1')] ).
cnf(649,plain,
meet(join(A,B),C) = meet(C,join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[641])]),648]),
[iquote('copy,641,flip.1,demod,648')] ).
cnf(650,plain,
meet(A,join(B,C)) = meet(join(C,B),A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[641]),648]),
[iquote('back_demod,641,demod,648')] ).
cnf(705,plain,
join(meet(A,B),C) = join(meet(B,A),C),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[480,269]),10,516]),
[iquote('para_from,480.1.1,269.1.1.1.2,demod,10,516')] ).
cnf(803,plain,
meet(join(meet(A,B),C),D) = meet(D,join(meet(B,A),C)),
inference(para_into,[status(thm),theory(equality)],[649,490]),
[iquote('para_into,649.1.1.1,490.1.1')] ).
cnf(811,plain,
meet(join(A,B),join(meet(B,C),A)) = join(A,meet(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[649,16])]),
[iquote('para_into,649.1.1,15.1.1,flip.1')] ).
cnf(813,plain,
meet(A,join(meet(B,C),D)) = meet(join(meet(C,B),D),A),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[803])]),
[iquote('copy,803,flip.1')] ).
cnf(870,plain,
meet(join(meet(A,B),meet(C,D)),join(meet(B,A),C)) = join(meet(B,A),meet(C,D)),
inference(para_from,[status(thm),theory(equality)],[705,16]),
[iquote('para_from,705.1.1,15.1.1.1')] ).
cnf(889,plain,
join(meet(A,join(B,A)),A) = meet(A,join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[61,534]),534]),
[iquote('para_into,61.1.1.1.2,533.1.1,demod,534')] ).
cnf(898,plain,
join(meet(A,B),B) = meet(B,join(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[61,650]),193,6]),
[iquote('para_into,61.1.1.1,650.1.1,demod,193,6')] ).
cnf(915,plain,
join(A,join(meet(join(B,A),join(B,join(A,C))),B)) = meet(join(B,A),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[61,42]),12,12]),
[iquote('para_into,61.1.1,42.1.1,demod,12,12')] ).
cnf(920,plain,
meet(join(A,B),join(A,join(B,C))) = join(A,join(meet(A,join(A,join(B,C))),B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[61,36]),12,193,12,12,46,12])]),
[iquote('para_into,61.1.1,36.1.1,demod,12,193,12,12,46,12,flip.1')] ).
cnf(922,plain,
join(A,meet(A,join(A,B))) = meet(A,join(A,B)),
inference(para_into,[status(thm),theory(equality)],[61,8]),
[iquote('para_into,61.1.1,8.1.1')] ).
cnf(933,plain,
join(A,join(meet(A,join(A,join(B,C))),B)) = join(B,meet(A,join(A,join(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[915]),920,12,12,70,70,922,920])]),
[iquote('back_demod,915,demod,920,12,12,70,70,922,920,flip.1')] ).
cnf(939,plain,
meet(join(A,B),join(A,join(B,C))) = join(B,meet(A,join(A,join(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[920]),933]),
[iquote('back_demod,919,demod,933')] ).
cnf(957,plain,
join(meet(join(A,B),C),join(B,A)) = join(A,meet(B,join(B,join(A,C)))),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[898,650]),12,939]),
[iquote('para_into,898.1.1.1,650.1.1,demod,12,939')] ).
cnf(975,plain,
meet(A,join(A,B)) = join(meet(A,B),A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[898,7])]),
[iquote('para_into,898.1.1.1,7.1.1,flip.1')] ).
cnf(982,plain,
join(A,join(meet(B,A),B)) = join(B,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[552]),957,46,975]),
[iquote('back_demod,552,demod,957,46,975')] ).
cnf(1232,plain,
meet(A,join(B,A)) = join(meet(A,B),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[975,46]),975,889])]),
[iquote('para_into,974.1.1.2,45.1.1,demod,975,889,flip.1')] ).
cnf(1244,plain,
meet(join(A,B),B) = join(meet(B,A),B),
inference(para_into,[status(thm),theory(equality)],[975,650]),
[iquote('para_into,974.1.1,650.1.1')] ).
cnf(1248,plain,
meet(join(A,B),A) = join(meet(A,B),A),
inference(para_into,[status(thm),theory(equality)],[975,7]),
[iquote('para_into,974.1.1,7.1.1')] ).
cnf(1272,plain,
meet(A,meet(B,join(meet(A,C),A))) = meet(A,meet(B,join(A,C))),
inference(para_from,[status(thm),theory(equality)],[975,34]),
[iquote('para_from,974.1.1,34.1.1.2.2')] ).
cnf(1273,plain,
meet(A,join(meet(B,C),B)) = meet(join(B,C),meet(B,A)),
inference(para_from,[status(thm),theory(equality)],[975,81]),
[iquote('para_from,974.1.1,81.1.1.2')] ).
cnf(1276,plain,
meet(A,join(meet(B,C),B)) = meet(B,meet(A,join(B,C))),
inference(para_from,[status(thm),theory(equality)],[975,21]),
[iquote('para_from,974.1.1,21.1.1.2')] ).
cnf(1306,plain,
join(A,join(B,meet(A,B))) = join(B,A),
inference(para_into,[status(thm),theory(equality)],[982,489]),
[iquote('para_into,982.1.1.2,489.1.1')] ).
cnf(1389,plain,
join(meet(A,join(B,C)),meet(A,join(meet(C,B),C))) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[50,459]),1244,459]),
[iquote('para_into,50.1.1.1.2,458.1.1,demod,1244,459')] ).
cnf(1800,plain,
meet(A,join(meet(B,C),B)) = meet(B,meet(A,join(C,B))),
inference(para_from,[status(thm),theory(equality)],[1232,21]),
[iquote('para_from,1232.1.1,21.1.1.2')] ).
cnf(2127,plain,
join(meet(A,join(B,C)),meet(C,A)) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[59,1306]),1306]),
[iquote('para_into,59.1.1.1.2,1305.1.1,demod,1306')] ).
cnf(2131,plain,
join(meet(A,B),meet(A,join(C,B))) = meet(A,join(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[64,1306]),1306]),
[iquote('para_into,63.1.1.2.2,1305.1.1,demod,1306')] ).
cnf(2135,plain,
meet(A,meet(join(B,C),join(A,B))) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[64,16]),10,1272,64]),
[iquote('para_from,63.1.1,15.1.1.1,demod,10,1272,64')] ).
cnf(2168,plain,
join(A,meet(join(B,A),C)) = join(A,meet(B,join(C,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[107,46]),193,107])]),
[iquote('para_into,106.1.1.2,45.1.1,demod,193,107,flip.1')] ).
cnf(2178,plain,
join(meet(A,B),join(A,meet(B,C))) = join(A,meet(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[121,64]),1248,12,38,121]),
[iquote('para_from,120.1.1,63.1.1.2,demod,1248,12,38,121')] ).
cnf(2190,plain,
join(A,meet(join(A,B),C)) = join(A,meet(B,join(C,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[112,8]),2168,16])]),
[iquote('para_into,112.1.1.1.2.1,8.1.1,demod,2168,16,flip.1')] ).
cnf(2213,plain,
join(meet(A,B),meet(B,join(C,A))) = meet(B,join(C,A)),
inference(para_into,[status(thm),theory(equality)],[460,490]),
[iquote('para_into,460.1.1,490.1.1')] ).
cnf(2287,plain,
meet(join(meet(A,B),B),C) = meet(join(B,A),meet(B,C)),
inference(para_into,[status(thm),theory(equality)],[1273,813]),
[iquote('para_into,1273.1.1,813.1.1')] ).
cnf(2311,plain,
meet(A,join(B,meet(B,C))) = meet(B,meet(A,join(B,C))),
inference(para_into,[status(thm),theory(equality)],[1276,8]),
[iquote('para_into,1276.1.1.2,8.1.1')] ).
cnf(2314,plain,
meet(A,meet(B,join(A,C))) = meet(B,join(A,meet(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2311])]),
[iquote('copy,2311,flip.1')] ).
cnf(2388,plain,
meet(A,join(B,meet(B,C))) = meet(B,meet(A,join(C,B))),
inference(para_into,[status(thm),theory(equality)],[1800,8]),
[iquote('para_into,1800.1.1.2,8.1.1')] ).
cnf(2390,plain,
meet(A,meet(B,join(C,A))) = meet(B,join(A,meet(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[2388])]),
[iquote('copy,2388,flip.1')] ).
cnf(2391,plain,
meet(join(A,B),meet(A,join(C,B))) = meet(A,join(C,B)),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2127,811]),2287,23,2213]),
[iquote('para_from,2127.1.1,811.1.1.2,demod,2287,23,2213')] ).
cnf(2396,plain,
meet(join(A,B),join(C,A)) = join(A,meet(B,join(C,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2131,1248]),12,2190,12,6,2178])]),
[iquote('para_into,2131.1.1.1,1247.1.1,demod,12,2190,12,6,2178,flip.1')] ).
cnf(2406,plain,
meet(A,join(B,meet(C,join(A,B)))) = meet(A,join(B,C)),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2135]),2396]),
[iquote('back_demod,2135,demod,2396')] ).
cnf(2542,plain,
meet(join(A,B),meet(A,join(B,C))) = meet(A,join(C,B)),
inference(para_into,[status(thm),theory(equality)],[2391,8]),
[iquote('para_into,2391.1.1.2.2,8.1.1')] ).
cnf(2557,plain,
meet(A,meet(B,join(A,C))) = meet(B,meet(A,join(B,C))),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[2406,2390]),10,2542,10,1244,1389]),
[iquote('para_from,2405.1.1,2390.1.1.2,demod,10,2542,10,1244,1389')] ).
cnf(2667,plain,
meet(A,meet(B,join(A,C))) = meet(A,join(B,meet(B,C))),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2557,2314])]),
[iquote('para_into,2557.1.1,2314.1.1,flip.1')] ).
cnf(2674,plain,
meet(A,join(meet(B,C),B)) = meet(B,join(A,meet(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1276]),2667]),
[iquote('back_demod,1276,demod,2667')] ).
cnf(2758,plain,
meet(A,join(meet(A,B),C)) = join(meet(A,C),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2674,870]),12,2168,10,2667,23,153,2406])]),
[iquote('para_into,2674.1.1,870.1.1,demod,12,2168,10,2667,23,153,2406,flip.1')] ).
cnf(2760,plain,
$false,
inference(binary,[status(thm)],[2758,20]),
[iquote('binary,2758.1,20.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 08:34:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.56/4.78 ----- Otter 3.3f, August 2004 -----
% 4.56/4.78 The process was started by sandbox on n008.cluster.edu,
% 4.56/4.78 Wed Jul 27 08:34:23 2022
% 4.56/4.78 The command was "./otter". The process ID is 29668.
% 4.56/4.78
% 4.56/4.78 set(prolog_style_variables).
% 4.56/4.78 set(auto).
% 4.56/4.78 dependent: set(auto1).
% 4.56/4.78 dependent: set(process_input).
% 4.56/4.78 dependent: clear(print_kept).
% 4.56/4.78 dependent: clear(print_new_demod).
% 4.56/4.78 dependent: clear(print_back_demod).
% 4.56/4.78 dependent: clear(print_back_sub).
% 4.56/4.78 dependent: set(control_memory).
% 4.56/4.78 dependent: assign(max_mem, 12000).
% 4.56/4.78 dependent: assign(pick_given_ratio, 4).
% 4.56/4.78 dependent: assign(stats_level, 1).
% 4.56/4.78 dependent: assign(max_seconds, 10800).
% 4.56/4.78 clear(print_given).
% 4.56/4.78
% 4.56/4.78 list(usable).
% 4.56/4.78 0 [] A=A.
% 4.56/4.78 0 [] meet(X,X)=X.
% 4.56/4.78 0 [] join(X,X)=X.
% 4.56/4.78 0 [] meet(X,Y)=meet(Y,X).
% 4.56/4.78 0 [] join(X,Y)=join(Y,X).
% 4.56/4.78 0 [] meet(meet(X,Y),Z)=meet(X,meet(Y,Z)).
% 4.56/4.78 0 [] join(join(X,Y),Z)=join(X,join(Y,Z)).
% 4.56/4.78 0 [] join(meet(X,join(Y,Z)),meet(X,Y))=meet(X,join(Y,Z)).
% 4.56/4.78 0 [] meet(join(X,meet(Y,Z)),join(X,Y))=join(X,meet(Y,Z)).
% 4.56/4.78 0 [] join(meet(join(X,Y),Z),Y)=join(meet(join(Z,Y),X),Y).
% 4.56/4.78 0 [] meet(a,join(b,meet(a,c)))!=join(meet(a,b),meet(a,c)).
% 4.56/4.78 end_of_list.
% 4.56/4.78
% 4.56/4.78 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 4.56/4.78
% 4.56/4.78 All clauses are units, and equality is present; the
% 4.56/4.78 strategy will be Knuth-Bendix with positive clauses in sos.
% 4.56/4.78
% 4.56/4.78 dependent: set(knuth_bendix).
% 4.56/4.78 dependent: set(anl_eq).
% 4.56/4.78 dependent: set(para_from).
% 4.56/4.78 dependent: set(para_into).
% 4.56/4.78 dependent: clear(para_from_right).
% 4.56/4.78 dependent: clear(para_into_right).
% 4.56/4.78 dependent: set(para_from_vars).
% 4.56/4.78 dependent: set(eq_units_both_ways).
% 4.56/4.78 dependent: set(dynamic_demod_all).
% 4.56/4.78 dependent: set(dynamic_demod).
% 4.56/4.78 dependent: set(order_eq).
% 4.56/4.78 dependent: set(back_demod).
% 4.56/4.78 dependent: set(lrpo).
% 4.56/4.78
% 4.56/4.78 ------------> process usable:
% 4.56/4.78 ** KEPT (pick-wt=15): 1 [] meet(a,join(b,meet(a,c)))!=join(meet(a,b),meet(a,c)).
% 4.56/4.78
% 4.56/4.78 ------------> process sos:
% 4.56/4.78 ** KEPT (pick-wt=3): 2 [] A=A.
% 4.56/4.78 ** KEPT (pick-wt=5): 3 [] meet(A,A)=A.
% 4.56/4.78 ---> New Demodulator: 4 [new_demod,3] meet(A,A)=A.
% 4.56/4.78 ** KEPT (pick-wt=5): 5 [] join(A,A)=A.
% 4.56/4.78 ---> New Demodulator: 6 [new_demod,5] join(A,A)=A.
% 4.56/4.78 ** KEPT (pick-wt=7): 7 [] meet(A,B)=meet(B,A).
% 4.56/4.78 ** KEPT (pick-wt=7): 8 [] join(A,B)=join(B,A).
% 4.56/4.78 ** KEPT (pick-wt=11): 9 [] meet(meet(A,B),C)=meet(A,meet(B,C)).
% 4.56/4.78 ---> New Demodulator: 10 [new_demod,9] meet(meet(A,B),C)=meet(A,meet(B,C)).
% 4.56/4.78 ** KEPT (pick-wt=11): 11 [] join(join(A,B),C)=join(A,join(B,C)).
% 4.56/4.78 ---> New Demodulator: 12 [new_demod,11] join(join(A,B),C)=join(A,join(B,C)).
% 4.56/4.78 ** KEPT (pick-wt=15): 13 [] join(meet(A,join(B,C)),meet(A,B))=meet(A,join(B,C)).
% 4.56/4.78 ---> New Demodulator: 14 [new_demod,13] join(meet(A,join(B,C)),meet(A,B))=meet(A,join(B,C)).
% 4.56/4.78 ** KEPT (pick-wt=15): 15 [] meet(join(A,meet(B,C)),join(A,B))=join(A,meet(B,C)).
% 4.56/4.78 ---> New Demodulator: 16 [new_demod,15] meet(join(A,meet(B,C)),join(A,B))=join(A,meet(B,C)).
% 4.56/4.78 ** KEPT (pick-wt=15): 17 [] join(meet(join(A,B),C),B)=join(meet(join(C,B),A),B).
% 4.56/4.78 Following clause subsumed by 2 during input processing: 0 [copy,2,flip.1] A=A.
% 4.56/4.78 >>>> Starting back demodulation with 4.
% 4.56/4.78 >>>> Starting back demodulation with 6.
% 4.56/4.78 Following clause subsumed by 7 during input processing: 0 [copy,7,flip.1] meet(A,B)=meet(B,A).
% 4.56/4.78 Following clause subsumed by 8 during input processing: 0 [copy,8,flip.1] join(A,B)=join(B,A).
% 4.56/4.78 >>>> Starting back demodulation with 10.
% 4.56/4.78 >>>> Starting back demodulation with 12.
% 4.56/4.78 >>>> Starting back demodulation with 14.
% 4.56/4.78 >>>> Starting back demodulation with 16.
% 4.56/4.78 Following clause subsumed by 17 during input processing: 0 [copy,17,flip.1] join(meet(join(A,B),C),B)=join(meet(join(C,B),A),B).
% 4.56/4.78
% 4.56/4.78 ======= end of input processing =======
% 4.56/4.78
% 4.56/4.78 =========== start of search ===========
% 4.56/4.78
% 4.56/4.78
% 4.56/4.78 Resetting weight limit to 15.
% 4.56/4.78
% 4.56/4.78
% 4.56/4.78 Resetting weight limit to 15.
% 4.56/4.78
% 4.56/4.78 sos_size=883
% 4.56/4.78
% 4.56/4.78 -------- PROOF --------
% 4.56/4.78
% 4.56/4.78 ----> UNIT CONFLICT at 2.91 sec ----> 2760 [binary,2758.1,20.1] $F.
% 4.56/4.78
% 4.56/4.78 Length of proof is 89. Level of proof is 17.
% 4.56/4.78
% 4.56/4.78 ---------------- PROOF ----------------
% 4.56/4.78 % SZS status Unsatisfiable
% 4.56/4.78 % SZS output start Refutation
% See solution above
% 4.56/4.78 ------------ end of proof -------------
% 4.56/4.78
% 4.56/4.78
% 4.56/4.78 Search stopped by max_proofs option.
% 4.56/4.78
% 4.56/4.78
% 4.56/4.78 Search stopped by max_proofs option.
% 4.56/4.78
% 4.56/4.78 ============ end of search ============
% 4.56/4.78
% 4.56/4.78 -------------- statistics -------------
% 4.56/4.78 clauses given 654
% 4.56/4.78 clauses generated 445928
% 4.56/4.78 clauses kept 1851
% 4.56/4.78 clauses forward subsumed 73487
% 4.56/4.78 clauses back subsumed 98
% 4.56/4.78 Kbytes malloced 4882
% 4.56/4.78
% 4.56/4.78 ----------- times (seconds) -----------
% 4.56/4.78 user CPU time 2.91 (0 hr, 0 min, 2 sec)
% 4.56/4.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 4.56/4.78 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 4.56/4.78
% 4.56/4.78 That finishes the proof of the theorem.
% 4.56/4.78
% 4.56/4.78 Process 29668 finished Wed Jul 27 08:34:28 2022
% 4.56/4.78 Otter interrupted
% 4.56/4.78 PROOF FOUND
%------------------------------------------------------------------------------