TSTP Solution File: LAT009-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %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 : 600s
% DateTime : Sun Jul 17 04:34:14 EDT 2022
% Result : Unsatisfiable 1.04s 1.43s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of clauses : 70 ( 70 unt; 0 nHn; 6 RR)
% Number of literals : 70 ( 0 equ; 5 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 : 175 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(meet(A,A),A),
file('LAT009-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(A,A),A),
file('LAT009-1.p',unknown),
[] ).
cnf(3,plain,
equal(meet(A,join(A,B)),A),
file('LAT009-1.p',unknown),
[] ).
cnf(4,plain,
equal(join(A,meet(A,B)),A),
file('LAT009-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(A,B),meet(B,A)),
file('LAT009-1.p',unknown),
[] ).
cnf(6,plain,
equal(join(A,B),join(B,A)),
file('LAT009-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(meet(A,B),C),meet(A,meet(B,C))),
file('LAT009-1.p',unknown),
[] ).
cnf(8,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
file('LAT009-1.p',unknown),
[] ).
cnf(9,plain,
equal(meet(join(meet(join(A,B),C),B),join(C,A)),join(meet(join(meet(A,B),C),B),meet(C,A))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(10,plain,
~ equal(meet(join(a,b),join(a,c)),join(a,meet(b,c))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(11,plain,
equal(meet(join(A,B),A),A),
inference(para,[status(thm),theory(equality)],[5,3]),
[iquote('para(5,3)')] ).
cnf(12,plain,
equal(join(A,meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[5,4]),
[iquote('para(5,4)')] ).
cnf(13,plain,
equal(meet(A,join(B,A)),A),
inference(para,[status(thm),theory(equality)],[6,3]),
[iquote('para(6,3)')] ).
cnf(14,plain,
equal(join(meet(A,B),A),A),
inference(para,[status(thm),theory(equality)],[6,4]),
[iquote('para(6,4)')] ).
cnf(16,plain,
equal(meet(A,meet(A,B)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,7]),1]),
[iquote('para(1,7),flip(1)')] ).
cnf(17,plain,
equal(join(A,join(B,A)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[11,4]),8]),
[iquote('para(11,4),demod([8])')] ).
cnf(19,plain,
equal(meet(A,meet(join(A,B),C)),meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,7]),1]),
[iquote('para(3,7),flip(1)')] ).
cnf(21,plain,
equal(join(meet(A,B),meet(A,meet(B,C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[7,4]),
[iquote('para(7,4)')] ).
cnf(22,plain,
equal(meet(A,meet(B,A)),meet(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,13]),7]),
[iquote('para(4,13),demod([7])')] ).
cnf(23,plain,
equal(meet(join(A,B),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),1]),
[iquote('para(13,5),flip(1)')] ).
cnf(24,plain,
equal(meet(A,meet(B,C)),meet(C,meet(A,B))),
inference(para,[status(thm),theory(equality)],[7,5]),
[iquote('para(7,5)')] ).
cnf(27,plain,
equal(join(A,join(A,B)),join(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2,8]),1]),
[iquote('para(2,8),flip(1)')] ).
cnf(30,plain,
equal(join(A,join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,8]),1]),
[iquote('para(4,8),flip(1)')] ).
cnf(31,plain,
equal(join(A,join(B,C)),join(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[8,6]),
[iquote('para(8,6)')] ).
cnf(36,plain,
equal(meet(join(meet(A,B),meet(A,C)),join(B,A)),join(meet(A,C),meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,9]),16,11]),
[iquote('para(4,9),demod([16,11])')] ).
cnf(37,plain,
equal(meet(join(meet(join(meet(A,B),C),A),C),A),join(meet(A,C),meet(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,9]),7,14,16]),
[iquote('para(4,9),demod([7,14,16])')] ).
cnf(39,plain,
equal(join(meet(join(meet(A,B),C),B),meet(C,A)),meet(join(C,A),join(meet(join(A,B),C),B))),
inference(para,[status(thm),theory(equality)],[9,5]),
[iquote('para(9,5)')] ).
cnf(50,plain,
equal(meet(join(meet(join(meet(A,B),C),B),join(meet(C,A),B)),join(C,join(A,meet(join(A,B),C)))),join(meet(join(meet(join(A,B),meet(C,B)),join(C,A)),B),meet(join(C,A),meet(join(A,B),C)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,9]),8,8,7]),
[iquote('para(9,9),demod([8,8,7])')] ).
cnf(51,plain,
~ equal(meet(join(b,a),join(a,c)),join(a,meet(b,c))),
inference(para,[status(thm),theory(equality)],[6,10]),
[iquote('para(6,10)')] ).
cnf(54,plain,
equal(meet(join(A,B),meet(C,A)),meet(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19,5]),7]),1]),
[iquote('para(19,5),demod([7]),flip(1)')] ).
cnf(55,plain,
equal(meet(join(meet(join(meet(A,B),C),B),join(meet(C,A),B)),join(C,join(A,meet(join(A,B),C)))),join(meet(join(meet(join(A,B),meet(C,B)),join(C,A)),B),meet(C,join(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[50]),54]),
[iquote('back_demod(50),demod([54])')] ).
cnf(56,plain,
equal(meet(A,meet(B,join(A,C))),meet(A,B)),
inference(para,[status(thm),theory(equality)],[5,19]),
[iquote('para(5,19)')] ).
cnf(57,plain,
equal(join(A,meet(B,meet(C,A))),A),
inference(para,[status(thm),theory(equality)],[7,12]),
[iquote('para(7,12)')] ).
cnf(58,plain,
equal(join(A,join(B,meet(C,A))),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,57]),8]),
[iquote('para(3,57),demod([8])')] ).
cnf(59,plain,
equal(meet(join(meet(join(meet(A,B),C),B),join(meet(C,A),B)),join(C,A)),join(meet(join(meet(join(A,B),meet(C,B)),join(C,A)),B),meet(C,join(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[55]),58]),
[iquote('back_demod(55),demod([58])')] ).
cnf(60,plain,
equal(join(A,join(meet(B,A),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,8]),1]),
[iquote('para(12,8),flip(1)')] ).
cnf(63,plain,
equal(join(A,meet(B,meet(A,C))),A),
inference(para,[status(thm),theory(equality)],[5,57]),
[iquote('para(5,57)')] ).
cnf(66,plain,
equal(meet(join(meet(join(meet(A,B),C),B),C),B),join(meet(join(meet(A,meet(B,C)),B),C),meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,9]),7,22]),
[iquote('para(12,9),demod([7,22])')] ).
cnf(72,plain,
equal(join(meet(A,meet(B,C)),B),B),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[63,6]),1]),
[iquote('para(63,6),flip(1)')] ).
cnf(73,plain,
equal(meet(join(meet(join(meet(A,B),C),B),C),B),join(meet(B,C),meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[66]),72]),
[iquote('back_demod(66),demod([72])')] ).
cnf(75,plain,
equal(join(meet(A,B),join(A,C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,8]),1]),
[iquote('para(14,8),flip(1)')] ).
cnf(76,plain,
equal(join(meet(join(meet(A,B),C),A),meet(C,meet(A,B))),meet(A,join(C,meet(A,B)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,9]),14,7,22]),1]),
[iquote('para(14,9),demod([14,7,22]),flip(1)')] ).
cnf(106,plain,
equal(meet(join(A,B),meet(C,B)),meet(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,24]),1]),
[iquote('para(13,24),flip(1)')] ).
cnf(107,plain,
equal(meet(join(meet(join(meet(A,B),C),B),join(meet(C,A),B)),join(C,A)),join(meet(join(C,A),B),meet(C,join(A,B)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[59]),106,75]),
[iquote('back_demod(59),demod([106,75])')] ).
cnf(112,plain,
equal(meet(A,meet(join(B,meet(C,A)),C)),meet(C,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,24]),1]),
[iquote('para(23,24),flip(1)')] ).
cnf(115,plain,
equal(join(meet(A,B),join(C,A)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,6]),8]),1]),
[iquote('para(30,6),demod([8]),flip(1)')] ).
cnf(124,plain,
equal(join(meet(A,B),join(C,B)),join(C,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,31]),1]),
[iquote('para(12,31),flip(1)')] ).
cnf(125,plain,
equal(meet(join(meet(A,B),C),join(A,B)),join(meet(join(A,B),C),meet(A,join(B,C)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[107]),124]),
[iquote('back_demod(107),demod([124])')] ).
cnf(142,plain,
equal(join(meet(A,join(B,C)),meet(A,C)),meet(A,join(B,C))),
inference(para,[status(thm),theory(equality)],[23,21]),
[iquote('para(23,21)')] ).
cnf(183,plain,
equal(join(meet(join(meet(join(A,B),C),A),C),A),meet(join(A,C),join(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[27,9]),8,11,3]),1]),
[iquote('para(27,9),demod([8,11,3]),flip(1)')] ).
cnf(291,plain,
equal(join(meet(join(A,B),C),join(B,A)),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[17,115]),8,2]),
[iquote('para(17,115),demod([8,2])')] ).
cnf(317,plain,
equal(join(meet(A,meet(B,C)),meet(B,A)),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,36]),7,1,7,21,7,1,7,22]),1]),
[iquote('para(12,36),demod([7,1,7,21,7,1,7,22]),flip(1)')] ).
cnf(344,plain,
equal(join(meet(join(meet(A,B),C),A),C),join(meet(A,B),C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[37,4]),8,60,291]),1]),
[iquote('para(37,4),demod([8,60,291]),flip(1)')] ).
cnf(345,plain,
equal(meet(join(meet(A,B),C),A),join(meet(A,C),meet(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[37]),344]),
[iquote('back_demod(37),demod([344])')] ).
cnf(351,plain,
equal(meet(A,join(B,meet(A,C))),join(meet(A,B),meet(A,C))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[76]),345,8,12]),1]),
[iquote('back_demod(76),demod([345,8,12]),flip(1)')] ).
cnf(362,plain,
equal(join(meet(join(A,B),join(A,C)),meet(B,A)),meet(join(B,A),join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3,39]),27,14]),
[iquote('para(3,39),demod([27,14])')] ).
cnf(363,plain,
equal(meet(join(A,B),join(B,C)),join(meet(join(B,A),join(B,C)),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[362]),
[iquote('flip(362)')] ).
cnf(452,plain,
equal(meet(join(A,meet(B,C)),B),join(meet(B,C),meet(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[23,317]),351,17]),1]),
[iquote('para(23,317),demod([351,17]),flip(1)')] ).
cnf(453,plain,
equal(meet(A,join(meet(B,A),meet(B,C))),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[112]),452]),
[iquote('back_demod(112),demod([452])')] ).
cnf(475,plain,
equal(meet(A,join(meet(join(B,C),A),C)),meet(join(B,C),A)),
inference(para,[status(thm),theory(equality)],[23,453]),
[iquote('para(23,453)')] ).
cnf(718,plain,
equal(meet(join(meet(A,B),C),B),join(meet(B,C),meet(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[73,5]),475]),1]),
[iquote('para(73,5),demod([475]),flip(1)')] ).
cnf(722,plain,
equal(meet(join(A,B),join(A,C)),join(meet(B,join(A,C)),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[183]),718,8,124]),1]),
[iquote('back_demod(183),demod([718,8,124]),flip(1)')] ).
cnf(725,plain,
equal(meet(join(A,B),join(B,C)),join(meet(A,join(B,C)),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[363]),722,8,12]),
[iquote('back_demod(363),demod([722,8,12])')] ).
cnf(726,plain,
~ equal(join(meet(b,join(a,c)),a),join(a,meet(b,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[51]),725]),
[iquote('back_demod(51),demod([725])')] ).
cnf(757,plain,
~ equal(join(meet(b,join(c,a)),a),join(a,meet(b,c))),
inference(para,[status(thm),theory(equality)],[6,726]),
[iquote('para(6,726)')] ).
cnf(974,plain,
equal(join(meet(A,B),meet(A,join(C,B))),meet(A,join(C,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[142,6]),1]),
[iquote('para(142,6),flip(1)')] ).
cnf(1146,plain,
equal(meet(A,join(meet(A,B),C)),join(meet(A,C),meet(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[345,5]),1]),
[iquote('para(345,5),flip(1)')] ).
cnf(1582,plain,
equal(meet(A,join(B,C)),join(meet(A,C),meet(A,B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[125,56]),351,19,974,1146]),
[iquote('para(125,56),demod([351,19,974,1146])')] ).
cnf(1789,plain,
~ equal(join(meet(b,c),a),join(a,meet(b,c))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[757]),1582,8,124]),
[iquote('back_demod(757),demod([1582,8,124])')] ).
cnf(1790,plain,
$false,
inference(conflict,[status(thm)],[1789,6]),
[iquote('conflict(1789,6)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : tptp2X_and_run_eqp %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 29 22:22:38 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.04/1.43 ----- EQP 0.9e, May 2009 -----
% 1.04/1.43 The job began on n008.cluster.edu, Wed Jun 29 22:22:38 2022
% 1.04/1.43 The command was "./eqp09e".
% 1.04/1.43
% 1.04/1.43 set(prolog_style_variables).
% 1.04/1.43 set(lrpo).
% 1.04/1.43 set(basic_paramod).
% 1.04/1.43 set(functional_subsume).
% 1.04/1.43 set(ordered_paramod).
% 1.04/1.43 set(prime_paramod).
% 1.04/1.43 set(para_pairs).
% 1.04/1.43 assign(pick_given_ratio,4).
% 1.04/1.43 clear(print_kept).
% 1.04/1.43 clear(print_new_demod).
% 1.04/1.43 clear(print_back_demod).
% 1.04/1.43 clear(print_given).
% 1.04/1.43 assign(max_mem,64000).
% 1.04/1.43 end_of_commands.
% 1.04/1.43
% 1.04/1.43 Usable:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Sos:
% 1.04/1.43 0 (wt=-1) [] meet(A,A) = A.
% 1.04/1.43 0 (wt=-1) [] join(A,A) = A.
% 1.04/1.43 0 (wt=-1) [] meet(A,join(A,B)) = A.
% 1.04/1.43 0 (wt=-1) [] join(A,meet(A,B)) = A.
% 1.04/1.43 0 (wt=-1) [] meet(A,B) = meet(B,A).
% 1.04/1.43 0 (wt=-1) [] join(A,B) = join(B,A).
% 1.04/1.43 0 (wt=-1) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.04/1.43 0 (wt=-1) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.04/1.43 0 (wt=-1) [] join(meet(join(meet(A,B),C),B),meet(C,A)) = meet(join(meet(join(A,B),C),B),join(C,A)).
% 1.04/1.43 0 (wt=-1) [] -(join(a,meet(b,c)) = meet(join(a,b),join(a,c))).
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Demodulators:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Passive:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Starting to process input.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 1 (wt=5) [] meet(A,A) = A.
% 1.04/1.43 1 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 2 (wt=5) [] join(A,A) = A.
% 1.04/1.43 2 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.04/1.43 3 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.04/1.43 4 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.04/1.43 clause forward subsumed: 0 (wt=7) [flip(5)] meet(B,A) = meet(A,B).
% 1.04/1.43
% 1.04/1.43 ** KEPT: 6 (wt=7) [] join(A,B) = join(B,A).
% 1.04/1.43 clause forward subsumed: 0 (wt=7) [flip(6)] join(B,A) = join(A,B).
% 1.04/1.43
% 1.04/1.43 ** KEPT: 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.04/1.43 7 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.04/1.43 8 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 9 (wt=23) [flip(1)] meet(join(meet(join(A,B),C),B),join(C,A)) = join(meet(join(meet(A,B),C),B),meet(C,A)).
% 1.04/1.43 9 is a new demodulator.
% 1.04/1.43
% 1.04/1.43 ** KEPT: 10 (wt=13) [flip(1)] -(meet(join(a,b),join(a,c)) = join(a,meet(b,c))).
% 1.04/1.43 ---------------- PROOF FOUND ----------------
% 1.04/1.43 % SZS status Unsatisfiable
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 After processing input:
% 1.04/1.43
% 1.04/1.43 Usable:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Sos:
% 1.04/1.43 1 (wt=5) [] meet(A,A) = A.
% 1.04/1.43 2 (wt=5) [] join(A,A) = A.
% 1.04/1.43 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.04/1.43 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.04/1.43 5 (wt=7) [] meet(A,B) = meet(B,A).
% 1.04/1.43 6 (wt=7) [] join(A,B) = join(B,A).
% 1.04/1.43 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.04/1.43 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.04/1.43 10 (wt=13) [flip(1)] -(meet(join(a,b),join(a,c)) = join(a,meet(b,c))).
% 1.04/1.43 9 (wt=23) [flip(1)] meet(join(meet(join(A,B),C),B),join(C,A)) = join(meet(join(meet(A,B),C),B),meet(C,A)).
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Demodulators:
% 1.04/1.43 1 (wt=5) [] meet(A,A) = A.
% 1.04/1.43 2 (wt=5) [] join(A,A) = A.
% 1.04/1.43 3 (wt=7) [] meet(A,join(A,B)) = A.
% 1.04/1.43 4 (wt=7) [] join(A,meet(A,B)) = A.
% 1.04/1.43 7 (wt=11) [] meet(meet(A,B),C) = meet(A,meet(B,C)).
% 1.04/1.43 8 (wt=11) [] join(join(A,B),C) = join(A,join(B,C)).
% 1.04/1.43 9 (wt=23) [flip(1)] meet(join(meet(join(A,B),C),B),join(C,A)) = join(meet(join(meet(A,B),C),B),meet(C,A)).
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 Passive:
% 1.04/1.43 end_of_list.
% 1.04/1.43
% 1.04/1.43 UNIT CONFLICT from 1789 and 6 at 0.15 seconds.
% 1.04/1.43
% 1.04/1.43 ---------------- PROOF ----------------
% 1.04/1.43 % SZS output start Refutation
% See solution above
% 1.04/1.43 ------------ end of proof -------------
% 1.04/1.43
% 1.04/1.43
% 1.04/1.43 ------------- memory usage ------------
% 1.04/1.43 Memory dynamically allocated (tp_alloc): 2929.
% 1.04/1.43 type (bytes each) gets frees in use avail bytes
% 1.04/1.43 sym_ent ( 96) 56 0 56 0 5.2 K
% 1.04/1.43 term ( 16) 305495 267226 38269 48 741.4 K
% 1.04/1.43 gen_ptr ( 8) 231733 77592 154141 69 1204.8 K
% 1.04/1.43 context ( 808) 165080 165078 2 7 7.1 K
% 1.04/1.43 trail ( 12) 34129 34129 0 6 0.1 K
% 1.04/1.43 bt_node ( 68) 54852 54847 5 12 1.1 K
% 1.04/1.43 ac_position (285432) 0 0 0 0 0.0 K
% 1.04/1.43 ac_match_pos (14044) 0 0 0 0 0.0 K
% 1.04/1.43 ac_match_free_vars_pos (4020)
% 1.04/1.43 0 0 0 0 0.0 K
% 1.04/1.43 discrim ( 12) 28560 14913 13647 3577 201.8 K
% 1.04/1.43 flat ( 40) 564145 564145 0 51 2.0 K
% 1.04/1.43 discrim_pos ( 12) 18531 18531 0 1 0.0 K
% 1.04/1.43 fpa_head ( 12) 3219 0 3219 0 37.7 K
% 1.04/1.43 fpa_tree ( 28) 5094 5094 0 21 0.6 K
% 1.04/1.43 fpa_pos ( 36) 3144 3144 0 1 0.0 K
% 1.04/1.43 literal ( 12) 13287 11498 1789 0 21.0 K
% 1.04/1.43 clause ( 24) 13287 11498 1789 0 41.9 K
% 1.04/1.43 list ( 12) 1414 1357 57 3 0.7 K
% 1.04/1.43 list_pos ( 20) 8684 4228 4456 1006 106.7 K
% 1.04/1.43 pair_index ( 40) 2 0 2 0 0.1 K
% 1.04/1.43
% 1.04/1.43 -------------- statistics -------------
% 1.04/1.43 Clauses input 10
% 1.04/1.43 Usable input 0
% 1.04/1.43 Sos input 10
% 1.04/1.43 Demodulators input 0
% 1.04/1.43 Passive input 0
% 1.04/1.43
% 1.04/1.43 Processed BS (before search) 12
% 1.04/1.43 Forward subsumed BS 2
% 1.04/1.43 Kept BS 10
% 1.04/1.43 New demodulators BS 7
% 1.04/1.43 Back demodulated BS 0
% 1.04/1.43
% 1.04/1.43 Clauses or pairs given 8255
% 1.04/1.43 Clauses generated 8750
% 1.04/1.43 Forward subsumed 6971
% 1.04/1.43 Deleted by weight 0
% 1.04/1.43 Deleted by variable count 0
% 1.04/1.43 Kept 1779
% 1.04/1.43 New demodulators 1348
% 1.04/1.43 Back demodulated 880
% 1.04/1.43 Ordered paramod prunes 0
% 1.04/1.43 Basic paramod prunes 17406
% 1.04/1.43 Prime paramod prunes 352
% 1.04/1.43 Semantic prunes 0
% 1.04/1.43
% 1.04/1.43 Rewrite attmepts 88792
% 1.04/1.43 Rewrites 16231
% 1.04/1.43
% 1.04/1.43 FPA overloads 0
% 1.04/1.43 FPA underloads 0
% 1.04/1.43
% 1.04/1.43 Usable size 0
% 1.04/1.43 Sos size 908
% 1.04/1.43 Demodulators size 681
% 1.04/1.43 Passive size 0
% 1.04/1.43 Disabled size 880
% 1.04/1.43
% 1.04/1.43 Proofs found 1
% 1.04/1.43
% 1.04/1.43 ----------- times (seconds) ----------- Wed Jun 29 22:22:39 2022
% 1.04/1.43
% 1.04/1.43 user CPU time 0.15 (0 hr, 0 min, 0 sec)
% 1.04/1.43 system CPU time 0.19 (0 hr, 0 min, 0 sec)
% 1.04/1.43 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.04/1.43 input time 0.00
% 1.04/1.43 paramodulation time 0.02
% 1.04/1.43 demodulation time 0.02
% 1.04/1.43 orient time 0.02
% 1.04/1.43 weigh time 0.00
% 1.04/1.43 forward subsume time 0.01
% 1.04/1.43 back demod find time 0.01
% 1.04/1.43 conflict time 0.00
% 1.04/1.43 LRPO time 0.01
% 1.04/1.44 store clause time 0.02
% 1.04/1.44 disable clause time 0.01
% 1.04/1.44 prime paramod time 0.01
% 1.04/1.44 semantics time 0.00
% 1.04/1.44
% 1.04/1.44 EQP interrupted
%------------------------------------------------------------------------------