TSTP Solution File: REL047-1 by EQP---0.9e
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:16:12 EDT 2022
% Result : Unsatisfiable 7.26s 7.65s
% Output : Refutation 7.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of clauses : 102 ( 102 unt; 0 nHn; 14 RR)
% Number of literals : 102 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 154 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(join(A,B),join(B,A)),
file('REL047-1.p',unknown),
[] ).
cnf(2,plain,
equal(join(join(A,B),C),join(A,join(B,C))),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(3,plain,
equal(join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),A),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(4,plain,
equal(complement(join(complement(A),complement(B))),meet(A,B)),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(5,plain,
equal(join(meet(A,B),complement(join(complement(A),B))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),4]),
[iquote('back_demod(3),demod([4])')] ).
cnf(7,plain,
equal(composition(A,one),A),
file('REL047-1.p',unknown),
[] ).
cnf(9,plain,
equal(converse(converse(A)),A),
file('REL047-1.p',unknown),
[] ).
cnf(11,plain,
equal(converse(composition(A,B)),composition(converse(B),converse(A))),
file('REL047-1.p',unknown),
[] ).
cnf(12,plain,
equal(join(composition(converse(A),complement(composition(A,B))),complement(B)),complement(B)),
file('REL047-1.p',unknown),
[] ).
cnf(13,plain,
equal(join(A,complement(A)),top),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(14,plain,
equal(meet(A,complement(A)),zero),
inference(flip,[status(thm),theory(equality)],[1]),
[iquote('flip(1)')] ).
cnf(15,plain,
equal(join(sk1,sk2),sk2),
file('REL047-1.p',unknown),
[] ).
cnf(16,plain,
equal(join(sk1,sk3),sk3),
file('REL047-1.p',unknown),
[] ).
cnf(17,plain,
~ equal(join(sk1,meet(sk2,sk3)),meet(sk2,sk3)),
file('REL047-1.p',unknown),
[] ).
cnf(18,plain,
equal(join(A,join(B,C)),join(C,join(A,B))),
inference(para,[status(thm),theory(equality)],[2,1]),
[iquote('para(2,1)')] ).
cnf(19,plain,
equal(join(A,join(B,C)),join(B,join(C,A))),
inference(flip,[status(thm),theory(equality)],[18]),
[iquote('flip(18)')] ).
cnf(20,plain,
equal(join(A,join(B,C)),join(B,join(A,C))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,2]),2]),
[iquote('para(1,2),demod([2])')] ).
cnf(21,plain,
equal(meet(A,B),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,4]),4]),
[iquote('para(1,4),demod([4])')] ).
cnf(22,plain,
equal(complement(join(meet(A,B),complement(C))),meet(join(complement(A),complement(B)),C)),
inference(para,[status(thm),theory(equality)],[4,4]),
[iquote('para(4,4)')] ).
cnf(25,plain,
equal(join(complement(join(complement(A),B)),meet(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,1]),1]),
[iquote('para(5,1),flip(1)')] ).
cnf(26,plain,
equal(join(meet(A,B),complement(join(B,complement(A)))),A),
inference(para,[status(thm),theory(equality)],[1,5]),
[iquote('para(1,5)')] ).
cnf(27,plain,
equal(join(meet(A,B),join(complement(join(complement(A),B)),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[5,2]),1]),
[iquote('para(5,2),flip(1)')] ).
cnf(30,plain,
equal(join(meet(A,complement(B)),meet(A,B)),A),
inference(para,[status(thm),theory(equality)],[4,5]),
[iquote('para(4,5)')] ).
cnf(31,plain,
equal(join(complement(A),A),top),
inference(para,[status(thm),theory(equality)],[1,13]),
[iquote('para(1,13)')] ).
cnf(32,plain,
equal(meet(complement(A),A),zero),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,21]),1]),
[iquote('para(14,21),flip(1)')] ).
cnf(39,plain,
equal(composition(converse(one),converse(A)),converse(A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,11]),1]),
[iquote('para(7,11),flip(1)')] ).
cnf(40,plain,
equal(composition(converse(one),A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[9,39]),9]),
[iquote('para(9,39),demod([9])')] ).
cnf(41,plain,
equal(converse(one),one),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[40,7]),1]),
[iquote('para(40,7),flip(1)')] ).
cnf(42,plain,
equal(composition(one,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[40]),41]),
[iquote('back_demod(40),demod([41])')] ).
cnf(56,plain,
equal(join(A,join(complement(A),B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,2]),1]),
[iquote('para(13,2),flip(1)')] ).
cnf(58,plain,
equal(complement(top),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,4]),14]),
[iquote('para(13,4),demod([14])')] ).
cnf(59,plain,
equal(join(complement(A),join(complement(B),meet(A,B))),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,13]),2]),
[iquote('para(4,13),demod([2])')] ).
cnf(60,plain,
equal(join(meet(A,complement(complement(A))),zero),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[13,5]),58]),
[iquote('para(13,5),demod([58])')] ).
cnf(65,plain,
equal(join(zero,meet(A,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,5]),4]),
[iquote('para(14,5),demod([4])')] ).
cnf(75,plain,
equal(join(meet(A,A),zero),A),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[65,1]),1]),
[iquote('para(65,1),flip(1)')] ).
cnf(106,plain,
equal(complement(join(zero,complement(A))),meet(top,A)),
inference(para,[status(thm),theory(equality)],[58,4]),
[iquote('para(58,4)')] ).
cnf(107,plain,
equal(complement(join(complement(A),zero)),meet(A,top)),
inference(para,[status(thm),theory(equality)],[58,4]),
[iquote('para(58,4)')] ).
cnf(108,plain,
equal(complement(join(zero,zero)),meet(top,top)),
inference(para,[status(thm),theory(equality)],[58,106]),
[iquote('para(58,106)')] ).
cnf(127,plain,
equal(join(meet(join(complement(A),B),meet(A,B)),complement(A)),join(complement(A),B)),
inference(para,[status(thm),theory(equality)],[25,5]),
[iquote('para(25,5)')] ).
cnf(138,plain,
equal(join(meet(A,complement(B)),meet(B,A)),A),
inference(para,[status(thm),theory(equality)],[4,26]),
[iquote('para(4,26)')] ).
cnf(148,plain,
equal(join(meet(join(A,complement(B)),meet(B,A)),complement(B)),join(A,complement(B))),
inference(para,[status(thm),theory(equality)],[26,26]),
[iquote('para(26,26)')] ).
cnf(188,plain,
equal(join(meet(A,complement(B)),join(meet(A,B),C)),join(A,C)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,2]),1]),
[iquote('para(30,2),flip(1)')] ).
cnf(191,plain,
equal(join(meet(A,complement(B)),join(C,meet(A,B))),join(C,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[30,20]),1]),
[iquote('para(30,20),flip(1)')] ).
cnf(194,plain,
equal(join(complement(A),join(A,B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,2]),1]),
[iquote('para(31,2),flip(1)')] ).
cnf(200,plain,
equal(join(meet(A,B),top),join(top,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[31,27]),56]),
[iquote('para(31,27),demod([56])')] ).
cnf(203,plain,
equal(join(zero,complement(join(A,complement(complement(A))))),complement(A)),
inference(para,[status(thm),theory(equality)],[32,26]),
[iquote('para(32,26)')] ).
cnf(204,plain,
equal(join(zero,meet(complement(complement(A)),A)),complement(complement(A))),
inference(para,[status(thm),theory(equality)],[32,30]),
[iquote('para(32,30)')] ).
cnf(252,plain,
equal(join(meet(complement(complement(A)),A),zero),A),
inference(para,[status(thm),theory(equality)],[21,60]),
[iquote('para(21,60)')] ).
cnf(255,plain,
equal(join(complement(A),complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[41,12]),42,42]),
[iquote('para(41,12),demod([42,42])')] ).
cnf(256,plain,
equal(join(zero,zero),zero),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[58,255]),58,58]),
[iquote('para(58,255),demod([58,58])')] ).
cnf(258,plain,
equal(complement(zero),meet(top,top)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[108]),256]),
[iquote('back_demod(108),demod([256])')] ).
cnf(294,plain,
equal(join(top,meet(A,B)),join(top,B)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[200,1]),1]),
[iquote('para(200,1),flip(1)')] ).
cnf(295,plain,
equal(complement(complement(A)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[252,1]),204]),1]),
[iquote('para(252,1),demod([204]),flip(1)')] ).
cnf(296,plain,
equal(join(zero,complement(join(A,A))),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[203]),295]),
[iquote('back_demod(203),demod([295])')] ).
cnf(298,plain,
equal(meet(top,top),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[58,295]),258]),
[iquote('para(58,295),demod([258])')] ).
cnf(302,plain,
equal(complement(zero),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[258]),298]),
[iquote('back_demod(258),demod([298])')] ).
cnf(313,plain,
equal(join(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[295,255]),295,295]),
[iquote('para(295,255),demod([295,295])')] ).
cnf(314,plain,
equal(join(zero,complement(A)),complement(A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[296]),313]),
[iquote('back_demod(296),demod([313])')] ).
cnf(316,plain,
equal(meet(top,A),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[106]),314,295]),1]),
[iquote('back_demod(106),demod([314,295]),flip(1)')] ).
cnf(324,plain,
equal(join(zero,A),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[295,314]),295]),
[iquote('para(295,314),demod([295])')] ).
cnf(327,plain,
equal(meet(A,A),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[65]),324]),
[iquote('back_demod(65),demod([324])')] ).
cnf(328,plain,
equal(join(A,zero),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[75]),327]),
[iquote('back_demod(75),demod([327])')] ).
cnf(331,plain,
equal(meet(A,top),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[107]),328,295]),1]),
[iquote('back_demod(107),demod([328,295]),flip(1)')] ).
cnf(370,plain,
equal(complement(join(complement(A),top)),meet(A,zero)),
inference(para,[status(thm),theory(equality)],[302,4]),
[iquote('para(302,4)')] ).
cnf(376,plain,
equal(complement(join(A,top)),meet(complement(A),zero)),
inference(para,[status(thm),theory(equality)],[295,370]),
[iquote('para(295,370)')] ).
cnf(424,plain,
equal(join(A,top),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[376,13]),2,294,328]),
[iquote('para(376,13),demod([2,294,328])')] ).
cnf(426,plain,
equal(join(top,A),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[200]),424]),1]),
[iquote('back_demod(200),demod([424]),flip(1)')] ).
cnf(429,plain,
equal(join(complement(A),join(A,B)),top),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[194]),426]),
[iquote('back_demod(194),demod([426])')] ).
cnf(469,plain,
equal(complement(meet(A,B)),join(complement(A),complement(B))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[58,22]),328,331]),
[iquote('para(58,22),demod([328,331])')] ).
cnf(495,plain,
equal(join(A,join(complement(B),meet(join(complement(A),C),B))),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[59,27]),424]),1]),
[iquote('para(59,27),demod([424]),flip(1)')] ).
cnf(508,plain,
equal(complement(join(A,complement(B))),meet(complement(A),B)),
inference(para,[status(thm),theory(equality)],[295,4]),
[iquote('para(295,4)')] ).
cnf(547,plain,
equal(complement(join(A,B)),meet(complement(A),complement(B))),
inference(para,[status(thm),theory(equality)],[295,508]),
[iquote('para(295,508)')] ).
cnf(1335,plain,
equal(join(meet(meet(A,B),join(complement(A),B)),complement(A)),join(complement(A),B)),
inference(para,[status(thm),theory(equality)],[21,127]),
[iquote('para(21,127)')] ).
cnf(1473,plain,
equal(join(meet(A,B),A),join(A,meet(B,A))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[138,188]),295]),
[iquote('para(138,188),demod([295])')] ).
cnf(1474,plain,
equal(join(A,meet(B,A)),join(meet(A,B),A)),
inference(flip,[status(thm),theory(equality)],[1473]),
[iquote('flip(1473)')] ).
cnf(2320,plain,
equal(meet(A,meet(complement(A),complement(B))),zero),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[429,547]),58,295,547]),1]),
[iquote('para(429,547),demod([58,295,547]),flip(1)')] ).
cnf(2322,plain,
equal(meet(A,meet(complement(A),B)),zero),
inference(para,[status(thm),theory(equality)],[295,2320]),
[iquote('para(295,2320)')] ).
cnf(3308,plain,
equal(meet(A,join(A,complement(B))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[2322,30]),469,295,328]),
[iquote('para(2322,30),demod([469,295,328])')] ).
cnf(3309,plain,
equal(meet(A,join(A,B)),A),
inference(para,[status(thm),theory(equality)],[295,3308]),
[iquote('para(295,3308)')] ).
cnf(3409,plain,
equal(join(A,meet(A,B)),A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[313,188]),30]),1]),
[iquote('para(313,188),demod([30]),flip(1)')] ).
cnf(3410,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)],[313,191]),30]),1]),
[iquote('para(313,191),demod([30]),flip(1)')] ).
cnf(3411,plain,
equal(join(A,meet(B,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1474]),3410]),
[iquote('back_demod(1474),demod([3410])')] ).
cnf(9874,plain,
equal(meet(A,join(B,join(C,A))),A),
inference(para,[status(thm),theory(equality)],[19,3309]),
[iquote('para(19,3309)')] ).
cnf(9880,plain,
equal(meet(meet(A,B),join(C,B)),meet(A,B)),
inference(para,[status(thm),theory(equality)],[3411,9874]),
[iquote('para(3411,9874)')] ).
cnf(9882,plain,
equal(join(meet(A,B),complement(A)),join(complement(A),B)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1335]),9880]),
[iquote('back_demod(1335),demod([9880])')] ).
cnf(9884,plain,
equal(join(complement(A),join(meet(join(complement(B),C),A),B)),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[495,1]),2]),1]),
[iquote('para(495,1),demod([2]),flip(1)')] ).
cnf(9897,plain,
equal(join(meet(complement(A),B),A),join(A,B)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[295,9882]),295]),
[iquote('para(295,9882),demod([295])')] ).
cnf(9938,plain,
equal(join(meet(A,complement(B)),B),join(B,A)),
inference(para,[status(thm),theory(equality)],[21,9897]),
[iquote('para(21,9897)')] ).
cnf(10479,plain,
equal(join(meet(A,B),join(C,A)),join(C,A)),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3409,18]),1]),
[iquote('para(3409,18),flip(1)')] ).
cnf(15172,plain,
equal(meet(join(complement(A),complement(B)),A),meet(complement(B),A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[148,547]),547,295,469,547,295,469,10479,295]),1]),
[iquote('para(148,547),demod([547,295,469,547,295,469,10479,295]),flip(1)')] ).
cnf(15217,plain,
equal(meet(join(complement(A),B),A),meet(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[295,15172]),295]),
[iquote('para(295,15172),demod([295])')] ).
cnf(15241,plain,
equal(meet(join(A,complement(B)),B),meet(A,B)),
inference(para,[status(thm),theory(equality)],[1,15217]),
[iquote('para(1,15217)')] ).
cnf(17484,plain,
equal(join(complement(A),join(meet(join(B,C),A),complement(B))),top),
inference(para,[status(thm),theory(equality)],[295,9884]),
[iquote('para(295,9884)')] ).
cnf(19499,plain,
equal(join(complement(A),join(meet(sk2,A),complement(sk1))),top),
inference(para,[status(thm),theory(equality)],[15,17484]),
[iquote('para(15,17484)')] ).
cnf(19502,plain,
equal(join(A,join(meet(sk2,complement(A)),complement(sk1))),top),
inference(para,[status(thm),theory(equality)],[295,19499]),
[iquote('para(295,19499)')] ).
cnf(19511,plain,
equal(join(meet(sk2,complement(A)),join(complement(sk1),A)),top),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19502,1]),2]),1]),
[iquote('para(19502,1),demod([2]),flip(1)')] ).
cnf(19631,plain,
equal(join(meet(sk2,join(sk1,complement(A))),complement(sk1)),top),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[3409,19511]),469,295]),
[iquote('para(3409,19511),demod([469,295])')] ).
cnf(19636,plain,
equal(join(meet(sk2,join(sk1,A)),complement(sk1)),top),
inference(para,[status(thm),theory(equality)],[295,19631]),
[iquote('para(295,19631)')] ).
cnf(19639,plain,
equal(join(meet(sk2,sk3),complement(sk1)),top),
inference(para,[status(thm),theory(equality)],[16,19636]),
[iquote('para(16,19636)')] ).
cnf(20322,plain,
equal(meet(meet(sk2,sk3),sk1),sk1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[19639,15241]),316]),1]),
[iquote('para(19639,15241),demod([316]),flip(1)')] ).
cnf(20389,plain,
equal(join(sk1,meet(sk2,sk3)),meet(sk2,sk3)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[20322,30]),9938]),
[iquote('para(20322,30),demod([9938])')] ).
cnf(20390,plain,
$false,
inference(conflict,[status(thm)],[20389,17]),
[iquote('conflict(20389,17)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : tptp2X_and_run_eqp %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 08:44:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.26/7.65 ----- EQP 0.9e, May 2009 -----
% 7.26/7.65 The job began on n006.cluster.edu, Fri Jul 8 08:44:22 2022
% 7.26/7.65 The command was "./eqp09e".
% 7.26/7.65
% 7.26/7.65 set(prolog_style_variables).
% 7.26/7.65 set(lrpo).
% 7.26/7.65 set(basic_paramod).
% 7.26/7.65 set(functional_subsume).
% 7.26/7.65 set(ordered_paramod).
% 7.26/7.65 set(prime_paramod).
% 7.26/7.65 set(para_pairs).
% 7.26/7.65 assign(pick_given_ratio,4).
% 7.26/7.65 clear(print_kept).
% 7.26/7.65 clear(print_new_demod).
% 7.26/7.65 clear(print_back_demod).
% 7.26/7.65 clear(print_given).
% 7.26/7.65 assign(max_mem,64000).
% 7.26/7.65 end_of_commands.
% 7.26/7.65
% 7.26/7.65 Usable:
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 Sos:
% 7.26/7.65 0 (wt=-1) [] join(A,B) = join(B,A).
% 7.26/7.65 0 (wt=-1) [] join(A,join(B,C)) = join(join(A,B),C).
% 7.26/7.65 0 (wt=-1) [] A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))).
% 7.26/7.65 0 (wt=-1) [] meet(A,B) = complement(join(complement(A),complement(B))).
% 7.26/7.65 0 (wt=-1) [] composition(A,composition(B,C)) = composition(composition(A,B),C).
% 7.26/7.65 0 (wt=-1) [] composition(A,one) = A.
% 7.26/7.65 0 (wt=-1) [] composition(join(A,B),C) = join(composition(A,C),composition(B,C)).
% 7.26/7.65 0 (wt=-1) [] converse(converse(A)) = A.
% 7.26/7.65 0 (wt=-1) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 7.26/7.65 0 (wt=-1) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 7.26/7.65 0 (wt=-1) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 7.26/7.65 0 (wt=-1) [] top = join(A,complement(A)).
% 7.26/7.65 0 (wt=-1) [] zero = meet(A,complement(A)).
% 7.26/7.65 0 (wt=-1) [] join(sk1,sk2) = sk2.
% 7.26/7.65 0 (wt=-1) [] join(sk1,sk3) = sk3.
% 7.26/7.65 0 (wt=-1) [] -(join(sk1,meet(sk2,sk3)) = meet(sk2,sk3)).
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 Demodulators:
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 Passive:
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 Starting to process input.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 1 (wt=7) [] join(A,B) = join(B,A).
% 7.26/7.65 clause forward subsumed: 0 (wt=7) [flip(1)] join(B,A) = join(A,B).
% 7.26/7.65
% 7.26/7.65 ** KEPT: 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 7.26/7.65 2 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 3 (wt=14) [flip(1)] join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A.
% 7.26/7.65 3 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 7.26/7.65 4 is a new demodulator.
% 7.26/7.65 -> 4 back demodulating 3.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 7.26/7.65 5 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 7.26/7.65 6 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 7 (wt=5) [] composition(A,one) = A.
% 7.26/7.65 7 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 7.26/7.65 8 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 9 (wt=5) [] converse(converse(A)) = A.
% 7.26/7.65 9 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 7.26/7.65 10 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 7.26/7.65 11 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 7.26/7.65 12 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 7.26/7.65 13 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 7.26/7.65 14 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 15 (wt=5) [] join(sk1,sk2) = sk2.
% 7.26/7.65 15 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 16 (wt=5) [] join(sk1,sk3) = sk3.
% 7.26/7.65 16 is a new demodulator.
% 7.26/7.65
% 7.26/7.65 ** KEPT: 17 (wt=9) [] -(join(sk1,meet(sk2,sk3)) = meet(sk2,sk3)).
% 7.26/7.65 ---------------- PROOF FOUND ----------------
% 7.26/7.65 % SZS status Unsatisfiable
% 7.26/7.65
% 7.26/7.65
% 7.26/7.65 After processing input:
% 7.26/7.65
% 7.26/7.65 Usable:
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 Sos:
% 7.26/7.65 7 (wt=5) [] composition(A,one) = A.
% 7.26/7.65 9 (wt=5) [] converse(converse(A)) = A.
% 7.26/7.65 15 (wt=5) [] join(sk1,sk2) = sk2.
% 7.26/7.65 16 (wt=5) [] join(sk1,sk3) = sk3.
% 7.26/7.65 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 7.26/7.65 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 7.26/7.65 1 (wt=7) [] join(A,B) = join(B,A).
% 7.26/7.65 17 (wt=9) [] -(join(sk1,meet(sk2,sk3)) = meet(sk2,sk3)).
% 7.26/7.65 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 7.26/7.65 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 7.26/7.65 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 7.26/7.65 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 7.26/7.65 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 7.26/7.65 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 7.26/7.65 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 7.26/7.65 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 Demodulators:
% 7.26/7.65 2 (wt=11) [flip(1)] join(join(A,B),C) = join(A,join(B,C)).
% 7.26/7.65 4 (wt=10) [flip(1)] complement(join(complement(A),complement(B))) = meet(A,B).
% 7.26/7.65 5 (wt=11) [back_demod(3),demod([4])] join(meet(A,B),complement(join(complement(A),B))) = A.
% 7.26/7.65 6 (wt=11) [flip(1)] composition(composition(A,B),C) = composition(A,composition(B,C)).
% 7.26/7.65 7 (wt=5) [] composition(A,one) = A.
% 7.26/7.65 8 (wt=13) [flip(1)] join(composition(A,B),composition(C,B)) = composition(join(A,C),B).
% 7.26/7.65 9 (wt=5) [] converse(converse(A)) = A.
% 7.26/7.65 10 (wt=10) [] converse(join(A,B)) = join(converse(A),converse(B)).
% 7.26/7.65 11 (wt=10) [] converse(composition(A,B)) = composition(converse(B),converse(A)).
% 7.26/7.65 12 (wt=13) [] join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B).
% 7.26/7.65 13 (wt=6) [flip(1)] join(A,complement(A)) = top.
% 7.26/7.65 14 (wt=6) [flip(1)] meet(A,complement(A)) = zero.
% 7.26/7.65 15 (wt=5) [] join(sk1,sk2) = sk2.
% 7.26/7.65 16 (wt=5) [] join(sk1,sk3) = sk3.
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 Passive:
% 7.26/7.65 end_of_list.
% 7.26/7.65
% 7.26/7.65 UNIT CONFLICT from 20389 and 17 at 5.24 seconds.
% 7.26/7.65
% 7.26/7.65 ---------------- PROOF ----------------
% 7.26/7.65 % SZS output start Refutation
% See solution above
% 7.26/7.65 ------------ end of proof -------------
% 7.26/7.65
% 7.26/7.65
% 7.26/7.65 ------------- memory usage ------------
% 7.26/7.65 Memory dynamically allocated (tp_alloc): 54687.
% 7.26/7.65 type (bytes each) gets frees in use avail bytes
% 7.26/7.65 sym_ent ( 96) 62 0 62 0 5.8 K
% 7.26/7.65 term ( 16) 3627327 2912243 715084 36 13887.5 K
% 7.26/7.65 gen_ptr ( 8) 4840592 791399 4049193 101 31635.1 K
% 7.26/7.65 context ( 808) 3798966 3798964 2 6 6.3 K
% 7.26/7.65 trail ( 12) 261505 261505 0 8 0.1 K
% 7.26/7.65 bt_node ( 68) 1622147 1622144 3 42 3.0 K
% 7.26/7.65 ac_position (285432) 0 0 0 0 0.0 K
% 7.26/7.65 ac_match_pos (14044) 0 0 0 0 0.0 K
% 7.26/7.65 ac_match_free_vars_pos (4020)
% 7.26/7.65 0 0 0 0 0.0 K
% 7.26/7.65 discrim ( 12) 610718 234492 376226 0 4408.9 K
% 7.26/7.65 flat ( 40) 9072637 9072637 0 163 6.4 K
% 7.26/7.65 discrim_pos ( 12) 172154 172154 0 1 0.0 K
% 7.26/7.65 fpa_head ( 12) 39650 0 39650 0 464.6 K
% 7.26/7.65 fpa_tree ( 28) 159083 159083 0 69 1.9 K
% 7.26/7.65 fpa_pos ( 36) 33183 33183 0 1 0.0 K
% 7.26/7.65 literal ( 12) 117242 96853 20389 1 238.9 K
% 7.26/7.65 clause ( 24) 117242 96853 20389 1 477.9 K
% 7.26/7.65 list ( 12) 12853 12797 56 11 0.8 K
% 7.26/7.65 list_pos ( 20) 87168 31392 55776 0 1089.4 K
% 7.26/7.65 pair_index ( 40) 2 0 2 0 0.1 K
% 7.26/7.65
% 7.26/7.65 -------------- statistics -------------
% 7.26/7.65 Clauses input 16
% 7.26/7.65 Usable input 0
% 7.26/7.65 Sos input 16
% 7.26/7.65 Demodulators input 0
% 7.26/7.65 Passive input 0
% 7.26/7.65
% 7.26/7.65 Processed BS (before search) 18
% 7.26/7.65 Forward subsumed BS 1
% 7.26/7.65 Kept BS 17
% 7.26/7.65 New demodulators BS 15
% 7.26/7.65 Back demodulated BS 1
% 7.26/7.65
% 7.26/7.65 Clauses or pairs given 234469
% 7.26/7.65 Clauses generated 72747
% 7.26/7.65 Forward subsumed 52375
% 7.26/7.65 Deleted by weight 0
% 7.26/7.65 Deleted by variable count 0
% 7.26/7.65 Kept 20372
% 7.26/7.65 New demodulators 12779
% 7.26/7.65 Back demodulated 6508
% 7.26/7.65 Ordered paramod prunes 0
% 7.26/7.65 Basic paramod prunes 1157063
% 7.26/7.65 Prime paramod prunes 3137
% 7.26/7.65 Semantic prunes 0
% 7.26/7.65
% 7.26/7.65 Rewrite attmepts 1441459
% 7.26/7.65 Rewrites 149100
% 7.26/7.65
% 7.26/7.65 FPA overloads 0
% 7.26/7.65 FPA underloads 0
% 7.26/7.65
% 7.26/7.65 Usable size 0
% 7.26/7.65 Sos size 13879
% 7.26/7.65 Demodulators size 7630
% 7.26/7.65 Passive size 0
% 7.26/7.65 Disabled size 6509
% 7.26/7.65
% 7.26/7.65 Proofs found 1
% 7.26/7.65
% 7.26/7.65 ----------- times (seconds) ----------- Fri Jul 8 08:44:28 2022
% 7.26/7.65
% 7.26/7.65 user CPU time 5.24 (0 hr, 0 min, 5 sec)
% 7.26/7.65 system CPU time 1.31 (0 hr, 0 min, 1 sec)
% 7.26/7.65 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 7.27/7.66 input time 0.00
% 7.27/7.66 paramodulation time 0.43
% 7.27/7.66 demodulation time 0.34
% 7.27/7.66 orient time 0.15
% 7.27/7.66 weigh time 0.03
% 7.27/7.66 forward subsume time 0.10
% 7.27/7.66 back demod find time 0.42
% 7.27/7.66 conflict time 0.02
% 7.27/7.66 LRPO time 0.08
% 7.27/7.66 store clause time 2.60
% 7.27/7.66 disable clause time 0.68
% 7.27/7.66 prime paramod time 0.08
% 7.27/7.66 semantics time 0.00
% 7.27/7.66
% 7.27/7.66 EQP interrupted
%------------------------------------------------------------------------------