TSTP Solution File: REL031-2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : REL031-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 20:02:09 EDT 2022
% Result : Unsatisfiable 261.25s 261.47s
% Output : Refutation 267.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 19
% Syntax : Number of clauses : 217 ( 217 unt; 0 nHn; 217 RR)
% Number of literals : 217 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(join(composition(converse(sk1),sk1),one),one),
file('REL031-2.p',unknown),
[] ).
cnf(2,axiom,
equal(join(composition(converse(sk2),sk2),one),one),
file('REL031-2.p',unknown),
[] ).
cnf(3,axiom,
~ equal(join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one),one),
file('REL031-2.p',unknown),
[] ).
cnf(4,axiom,
equal(join(u,v),join(v,u)),
file('REL031-2.p',unknown),
[] ).
cnf(5,axiom,
equal(join(join(u,v),w),join(u,join(v,w))),
file('REL031-2.p',unknown),
[] ).
cnf(6,axiom,
equal(join(complement(join(complement(u),complement(v))),complement(join(complement(u),v))),u),
file('REL031-2.p',unknown),
[] ).
cnf(7,axiom,
equal(complement(join(complement(u),complement(v))),meet(u,v)),
file('REL031-2.p',unknown),
[] ).
cnf(8,axiom,
equal(composition(composition(u,v),w),composition(u,composition(v,w))),
file('REL031-2.p',unknown),
[] ).
cnf(9,axiom,
equal(composition(u,one),u),
file('REL031-2.p',unknown),
[] ).
cnf(10,axiom,
equal(join(composition(u,v),composition(w,v)),composition(join(u,w),v)),
file('REL031-2.p',unknown),
[] ).
cnf(11,axiom,
equal(converse(converse(u)),u),
file('REL031-2.p',unknown),
[] ).
cnf(12,axiom,
equal(join(converse(u),converse(v)),converse(join(u,v))),
file('REL031-2.p',unknown),
[] ).
cnf(13,axiom,
equal(composition(converse(u),converse(v)),converse(composition(v,u))),
file('REL031-2.p',unknown),
[] ).
cnf(14,axiom,
equal(join(composition(converse(u),complement(composition(u,v))),complement(v)),complement(v)),
file('REL031-2.p',unknown),
[] ).
cnf(15,axiom,
equal(join(u,complement(u)),top),
file('REL031-2.p',unknown),
[] ).
cnf(16,axiom,
equal(meet(u,complement(u)),zero),
file('REL031-2.p',unknown),
[] ).
cnf(17,axiom,
equal(join(meet(composition(u,v),w),composition(meet(u,composition(w,converse(v))),meet(v,composition(converse(u),w)))),composition(meet(u,composition(w,converse(v))),meet(v,composition(converse(u),w)))),
file('REL031-2.p',unknown),
[] ).
cnf(18,axiom,
equal(join(meet(composition(u,v),w),meet(composition(u,meet(v,composition(converse(u),w))),w)),meet(composition(u,meet(v,composition(converse(u),w))),w)),
file('REL031-2.p',unknown),
[] ).
cnf(19,axiom,
equal(join(meet(composition(u,v),w),meet(composition(meet(u,composition(w,converse(v))),v),w)),meet(composition(meet(u,composition(w,converse(v))),v),w)),
file('REL031-2.p',unknown),
[] ).
cnf(20,plain,
equal(join(one,composition(converse(sk2),sk2)),one),
inference(rew,[status(thm),theory(equality)],[4,2]),
[iquote('0:Rew:4.0,2.0')] ).
cnf(21,plain,
equal(join(one,composition(converse(sk1),sk1)),one),
inference(rew,[status(thm),theory(equality)],[4,1]),
[iquote('0:Rew:4.0,1.0')] ).
cnf(22,plain,
equal(join(complement(u),composition(converse(v),complement(composition(v,u)))),complement(u)),
inference(rew,[status(thm),theory(equality)],[4,14]),
[iquote('0:Rew:4.0,14.0')] ).
cnf(23,plain,
~ equal(join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))),one),
inference(rew,[status(thm),theory(equality)],[4,3]),
[iquote('0:Rew:4.0,3.0')] ).
cnf(24,plain,
equal(join(meet(u,v),complement(join(complement(u),v))),u),
inference(rew,[status(thm),theory(equality)],[7,6]),
[iquote('0:Rew:7.0,6.0')] ).
cnf(37,plain,
equal(converse(composition(converse(u),v)),composition(converse(v),u)),
inference(spr,[status(thm),theory(equality)],[11,13]),
[iquote('0:SpR:11.0,13.0')] ).
cnf(42,plain,
equal(converse(join(u,converse(v))),join(converse(u),v)),
inference(spr,[status(thm),theory(equality)],[11,12]),
[iquote('0:SpR:11.0,12.0')] ).
cnf(43,plain,
equal(converse(join(converse(u),v)),join(u,converse(v))),
inference(spr,[status(thm),theory(equality)],[11,12]),
[iquote('0:SpR:11.0,12.0')] ).
cnf(47,plain,
equal(join(join(complement(u),complement(v)),meet(u,v)),top),
inference(spr,[status(thm),theory(equality)],[7,15]),
[iquote('0:SpR:7.0,15.0')] ).
cnf(48,plain,
equal(meet(join(complement(u),complement(v)),w),complement(join(meet(u,v),complement(w)))),
inference(spr,[status(thm),theory(equality)],[7]),
[iquote('0:SpR:7.0,7.0')] ).
cnf(51,plain,
equal(meet(u,complement(u)),complement(top)),
inference(spr,[status(thm),theory(equality)],[15,7]),
[iquote('0:SpR:15.0,7.0')] ).
cnf(52,plain,
equal(complement(join(complement(u),complement(v))),meet(v,u)),
inference(spr,[status(thm),theory(equality)],[4,7]),
[iquote('0:SpR:4.0,7.0')] ).
cnf(54,plain,
equal(complement(top),zero),
inference(rew,[status(thm),theory(equality)],[16,51]),
[iquote('0:Rew:16.0,51.0')] ).
cnf(55,plain,
equal(meet(u,v),meet(v,u)),
inference(rew,[status(thm),theory(equality)],[7,52]),
[iquote('0:Rew:7.0,52.0')] ).
cnf(56,plain,
equal(join(meet(composition(u,v),w),meet(w,composition(meet(u,composition(w,converse(v))),v))),meet(w,composition(meet(u,composition(w,converse(v))),v))),
inference(rew,[status(thm),theory(equality)],[55,19]),
[iquote('0:Rew:55.0,19.0')] ).
cnf(57,plain,
equal(join(meet(composition(u,v),w),meet(w,composition(u,meet(v,composition(converse(u),w))))),meet(w,composition(u,meet(v,composition(converse(u),w))))),
inference(rew,[status(thm),theory(equality)],[55,18]),
[iquote('0:Rew:55.0,18.0')] ).
cnf(60,plain,
equal(join(meet(u,v),join(complement(u),complement(v))),top),
inference(rew,[status(thm),theory(equality)],[4,47]),
[iquote('0:Rew:4.0,47.0')] ).
cnf(65,plain,
equal(complement(join(zero,complement(u))),meet(top,u)),
inference(spr,[status(thm),theory(equality)],[54,7]),
[iquote('0:SpR:54.0,7.0')] ).
cnf(77,plain,
equal(join(meet(join(complement(u),complement(v)),w),complement(join(meet(u,v),w))),join(complement(u),complement(v))),
inference(spr,[status(thm),theory(equality)],[7,24]),
[iquote('0:SpR:7.0,24.0')] ).
cnf(78,plain,
equal(join(meet(top,u),complement(join(zero,u))),top),
inference(spr,[status(thm),theory(equality)],[54,24]),
[iquote('0:SpR:54.0,24.0')] ).
cnf(79,plain,
equal(join(meet(u,complement(complement(u))),complement(top)),u),
inference(spr,[status(thm),theory(equality)],[15,24]),
[iquote('0:SpR:15.0,24.0')] ).
cnf(80,plain,
equal(join(meet(u,v),complement(join(v,complement(u)))),u),
inference(spr,[status(thm),theory(equality)],[4,24]),
[iquote('0:SpR:4.0,24.0')] ).
cnf(82,plain,
equal(join(meet(u,complement(v)),meet(u,v)),u),
inference(spr,[status(thm),theory(equality)],[7,24]),
[iquote('0:SpR:7.0,24.0')] ).
cnf(83,plain,
equal(join(zero,complement(join(complement(u),complement(u)))),u),
inference(spr,[status(thm),theory(equality)],[16,24]),
[iquote('0:SpR:16.0,24.0')] ).
cnf(88,plain,
equal(join(zero,meet(u,complement(complement(u)))),u),
inference(rew,[status(thm),theory(equality)],[4,79,54]),
[iquote('0:Rew:4.0,79.0,54.0,79.0')] ).
cnf(89,plain,
equal(join(meet(u,v),meet(u,complement(v))),u),
inference(rew,[status(thm),theory(equality)],[4,82]),
[iquote('0:Rew:4.0,82.0')] ).
cnf(90,plain,
equal(join(zero,meet(u,u)),u),
inference(rew,[status(thm),theory(equality)],[7,83]),
[iquote('0:Rew:7.0,83.0')] ).
cnf(91,plain,
equal(join(complement(join(meet(u,v),w)),meet(join(complement(u),complement(v)),w)),join(complement(u),complement(v))),
inference(rew,[status(thm),theory(equality)],[4,77]),
[iquote('0:Rew:4.0,77.0')] ).
cnf(92,plain,
equal(join(complement(join(meet(u,v),w)),complement(join(meet(u,v),complement(w)))),join(complement(u),complement(v))),
inference(rew,[status(thm),theory(equality)],[48,91]),
[iquote('0:Rew:48.0,91.0')] ).
cnf(99,plain,
equal(meet(join(zero,complement(u)),meet(top,u)),zero),
inference(spr,[status(thm),theory(equality)],[65,16]),
[iquote('0:SpR:65.0,16.0')] ).
cnf(101,plain,
equal(complement(join(meet(top,u),complement(v))),meet(join(zero,complement(u)),v)),
inference(spr,[status(thm),theory(equality)],[65,7]),
[iquote('0:SpR:65.0,7.0')] ).
cnf(104,plain,
equal(complement(join(complement(u),meet(top,v))),meet(u,join(zero,complement(v)))),
inference(spr,[status(thm),theory(equality)],[65,7]),
[iquote('0:SpR:65.0,7.0')] ).
cnf(113,plain,
equal(meet(meet(top,u),join(zero,complement(u))),zero),
inference(rew,[status(thm),theory(equality)],[55,99]),
[iquote('0:Rew:55.0,99.0')] ).
cnf(127,plain,
equal(composition(converse(u),composition(converse(v),w)),composition(converse(composition(v,u)),w)),
inference(spr,[status(thm),theory(equality)],[13,8]),
[iquote('0:SpR:13.0,8.0')] ).
cnf(163,plain,
equal(join(u,join(v,complement(join(u,v)))),top),
inference(spr,[status(thm),theory(equality)],[5,15]),
[iquote('0:SpR:5.0,15.0')] ).
cnf(164,plain,
equal(join(u,join(v,w)),join(w,join(u,v))),
inference(spr,[status(thm),theory(equality)],[5,4]),
[iquote('0:SpR:5.0,4.0')] ).
cnf(168,plain,
equal(join(u,join(complement(u),v)),join(top,v)),
inference(spr,[status(thm),theory(equality)],[15,5]),
[iquote('0:SpR:15.0,5.0')] ).
cnf(171,plain,
equal(join(one,join(composition(converse(sk2),sk2),u)),join(one,u)),
inference(spr,[status(thm),theory(equality)],[20,5]),
[iquote('0:SpR:20.0,5.0')] ).
cnf(175,plain,
equal(join(meet(u,v),join(complement(join(complement(u),v)),w)),join(u,w)),
inference(spr,[status(thm),theory(equality)],[24,5]),
[iquote('0:SpR:24.0,5.0')] ).
cnf(180,plain,
equal(join(complement(u),join(meet(v,u),complement(v))),top),
inference(rew,[status(thm),theory(equality)],[164,60]),
[iquote('0:Rew:164.0,60.0')] ).
cnf(186,plain,
equal(join(complement(u),join(complement(v),meet(v,u))),top),
inference(rew,[status(thm),theory(equality)],[4,180]),
[iquote('0:Rew:4.0,180.0')] ).
cnf(269,plain,
equal(join(complement(one),composition(converse(u),complement(u))),complement(one)),
inference(spr,[status(thm),theory(equality)],[9,22]),
[iquote('0:SpR:9.0,22.0')] ).
cnf(279,plain,
equal(join(zero,composition(converse(u),complement(composition(u,top)))),zero),
inference(spr,[status(thm),theory(equality)],[54,22]),
[iquote('0:SpR:54.0,22.0')] ).
cnf(325,plain,
equal(meet(meet(u,top),join(zero,complement(u))),zero),
inference(spr,[status(thm),theory(equality)],[55,113]),
[iquote('0:SpR:55.0,113.0')] ).
cnf(346,plain,
equal(join(composition(u,v),join(composition(w,v),x)),join(composition(join(u,w),v),x)),
inference(spr,[status(thm),theory(equality)],[10,5]),
[iquote('0:SpR:10.0,5.0')] ).
cnf(436,plain,
equal(join(zero,complement(join(complement(meet(u,top)),join(zero,complement(u))))),meet(u,top)),
inference(spr,[status(thm),theory(equality)],[325,24]),
[iquote('0:SpR:325.0,24.0')] ).
cnf(456,plain,
equal(join(zero,complement(join(zero,join(complement(u),complement(meet(u,top)))))),meet(u,top)),
inference(rew,[status(thm),theory(equality)],[164,436]),
[iquote('0:Rew:164.0,436.0')] ).
cnf(459,plain,
equal(join(meet(composition(u,converse(v)),w),meet(w,composition(meet(u,composition(w,v)),converse(v)))),meet(w,composition(meet(u,composition(w,v)),converse(v)))),
inference(spr,[status(thm),theory(equality)],[11,56]),
[iquote('0:SpR:11.0,56.0')] ).
cnf(560,plain,
equal(composition(composition(converse(u),v),converse(w)),converse(composition(w,composition(converse(v),u)))),
inference(spr,[status(thm),theory(equality)],[37,13]),
[iquote('0:SpR:37.0,13.0')] ).
cnf(572,plain,
equal(composition(converse(one),u),converse(converse(u))),
inference(spr,[status(thm),theory(equality)],[9,37]),
[iquote('0:SpR:9.0,37.0')] ).
cnf(575,plain,
equal(composition(converse(one),u),u),
inference(rew,[status(thm),theory(equality)],[11,572]),
[iquote('0:Rew:11.0,572.0')] ).
cnf(580,plain,
equal(composition(converse(u),composition(v,converse(w))),converse(composition(w,composition(converse(v),u)))),
inference(rew,[status(thm),theory(equality)],[8,560]),
[iquote('0:Rew:8.0,560.0')] ).
cnf(585,plain,
equal(converse(one),one),
inference(spr,[status(thm),theory(equality)],[575,9]),
[iquote('0:SpR:575.0,9.0')] ).
cnf(588,plain,
equal(join(u,composition(v,u)),composition(join(converse(one),v),u)),
inference(spr,[status(thm),theory(equality)],[575,10]),
[iquote('0:SpR:575.0,10.0')] ).
cnf(594,plain,
equal(join(complement(u),complement(composition(one,u))),complement(u)),
inference(spr,[status(thm),theory(equality)],[575,22]),
[iquote('0:SpR:575.0,22.0')] ).
cnf(600,plain,
equal(composition(one,u),u),
inference(rew,[status(thm),theory(equality)],[585,575]),
[iquote('0:Rew:585.0,575.0')] ).
cnf(611,plain,
equal(join(complement(u),complement(u)),complement(u)),
inference(rew,[status(thm),theory(equality)],[600,594]),
[iquote('0:Rew:600.0,594.0')] ).
cnf(612,plain,
equal(join(u,composition(v,u)),composition(join(one,v),u)),
inference(rew,[status(thm),theory(equality)],[585,588]),
[iquote('0:Rew:585.0,588.0')] ).
cnf(707,plain,
equal(meet(u,u),complement(complement(u))),
inference(spr,[status(thm),theory(equality)],[611,7]),
[iquote('0:SpR:611.0,7.0')] ).
cnf(713,plain,
equal(join(zero,zero),zero),
inference(spr,[status(thm),theory(equality)],[54,611]),
[iquote('0:SpR:54.0,611.0')] ).
cnf(735,plain,
equal(join(zero,complement(complement(u))),u),
inference(rew,[status(thm),theory(equality)],[707,90]),
[iquote('0:Rew:707.0,90.0')] ).
cnf(770,plain,
equal(join(zero,join(zero,u)),join(zero,u)),
inference(spr,[status(thm),theory(equality)],[713,5]),
[iquote('0:SpR:713.0,5.0')] ).
cnf(787,plain,
equal(meet(top,complement(u)),complement(u)),
inference(spr,[status(thm),theory(equality)],[735,65]),
[iquote('0:SpR:735.0,65.0')] ).
cnf(794,plain,
equal(join(zero,complement(meet(u,v))),join(complement(u),complement(v))),
inference(spr,[status(thm),theory(equality)],[7,735]),
[iquote('0:SpR:7.0,735.0')] ).
cnf(827,plain,
equal(join(complement(u),complement(join(zero,complement(u)))),top),
inference(spr,[status(thm),theory(equality)],[787,78]),
[iquote('0:SpR:787.0,78.0')] ).
cnf(835,plain,
equal(join(complement(u),meet(top,u)),top),
inference(rew,[status(thm),theory(equality)],[65,827]),
[iquote('0:Rew:65.0,827.0')] ).
cnf(915,plain,
equal(join(complement(u),join(meet(top,u),v)),join(top,v)),
inference(spr,[status(thm),theory(equality)],[835,5]),
[iquote('0:SpR:835.0,5.0')] ).
cnf(920,plain,
equal(join(complement(u),meet(u,top)),top),
inference(spr,[status(thm),theory(equality)],[55,835]),
[iquote('0:SpR:55.0,835.0')] ).
cnf(945,plain,
equal(join(meet(u,meet(u,top)),complement(top)),u),
inference(spr,[status(thm),theory(equality)],[920,24]),
[iquote('0:SpR:920.0,24.0')] ).
cnf(955,plain,
equal(join(zero,meet(u,meet(u,top))),u),
inference(rew,[status(thm),theory(equality)],[4,945,54]),
[iquote('0:Rew:4.0,945.0,54.0,945.0')] ).
cnf(1056,plain,
equal(join(zero,u),u),
inference(spr,[status(thm),theory(equality)],[88,770]),
[iquote('0:SpR:88.0,770.0')] ).
cnf(1063,plain,
equal(complement(complement(u)),u),
inference(rew,[status(thm),theory(equality)],[1056,735]),
[iquote('0:Rew:1056.0,735.0')] ).
cnf(1064,plain,
equal(meet(top,u),complement(complement(u))),
inference(rew,[status(thm),theory(equality)],[1056,65]),
[iquote('0:Rew:1056.0,65.0')] ).
cnf(1070,plain,
equal(join(zero,complement(join(complement(u),complement(meet(u,top))))),meet(u,top)),
inference(rew,[status(thm),theory(equality)],[1056,456]),
[iquote('0:Rew:1056.0,456.0')] ).
cnf(1074,plain,
equal(composition(converse(u),complement(composition(u,top))),zero),
inference(rew,[status(thm),theory(equality)],[1056,279]),
[iquote('0:Rew:1056.0,279.0')] ).
cnf(1076,plain,
equal(join(complement(u),complement(v)),complement(meet(u,v))),
inference(rew,[status(thm),theory(equality)],[1056,794]),
[iquote('0:Rew:1056.0,794.0')] ).
cnf(1078,plain,
equal(complement(join(complement(u),meet(top,v))),meet(u,complement(v))),
inference(rew,[status(thm),theory(equality)],[1056,104]),
[iquote('0:Rew:1056.0,104.0')] ).
cnf(1080,plain,
equal(complement(join(meet(top,u),complement(v))),meet(complement(u),v)),
inference(rew,[status(thm),theory(equality)],[1056,101]),
[iquote('0:Rew:1056.0,101.0')] ).
cnf(1085,plain,
equal(meet(u,meet(u,top)),u),
inference(rew,[status(thm),theory(equality)],[1056,955]),
[iquote('0:Rew:1056.0,955.0')] ).
cnf(1087,plain,
equal(meet(u,u),u),
inference(rew,[status(thm),theory(equality)],[1063,707]),
[iquote('0:Rew:1063.0,707.0')] ).
cnf(1100,plain,
equal(meet(top,u),u),
inference(rew,[status(thm),theory(equality)],[1063,1064]),
[iquote('0:Rew:1063.0,1064.0')] ).
cnf(1104,plain,
equal(join(complement(u),join(u,v)),join(top,v)),
inference(rew,[status(thm),theory(equality)],[1100,915]),
[iquote('0:Rew:1100.0,915.0')] ).
cnf(1124,plain,
equal(complement(meet(join(meet(u,v),w),join(meet(u,v),complement(w)))),join(complement(u),complement(v))),
inference(rew,[status(thm),theory(equality)],[1076,92]),
[iquote('0:Rew:1076.0,92.0')] ).
cnf(1130,plain,
equal(join(u,join(v,complement(u))),join(top,v)),
inference(rew,[status(thm),theory(equality)],[164,1104]),
[iquote('0:Rew:164.0,1104.0')] ).
cnf(1141,plain,
equal(complement(join(complement(u),v)),meet(u,complement(v))),
inference(rew,[status(thm),theory(equality)],[1100,1078]),
[iquote('0:Rew:1100.0,1078.0')] ).
cnf(1144,plain,
equal(join(meet(u,v),join(meet(u,complement(v)),w)),join(u,w)),
inference(rew,[status(thm),theory(equality)],[1141,175]),
[iquote('0:Rew:1141.0,175.0')] ).
cnf(1145,plain,
equal(complement(join(u,complement(v))),meet(complement(u),v)),
inference(rew,[status(thm),theory(equality)],[1100,1080]),
[iquote('0:Rew:1100.0,1080.0')] ).
cnf(1146,plain,
equal(join(meet(u,v),meet(complement(v),u)),u),
inference(rew,[status(thm),theory(equality)],[1145,80]),
[iquote('0:Rew:1145.0,80.0')] ).
cnf(1150,plain,
equal(meet(u,top),u),
inference(rew,[status(thm),theory(equality)],[1056,1070,1063,1085,1076]),
[iquote('0:Rew:1056.0,1070.0,1063.0,1070.0,1085.0,1070.0,1076.0,1070.0')] ).
cnf(1168,plain,
equal(complement(meet(join(meet(u,v),w),join(meet(u,v),complement(w)))),complement(meet(u,v))),
inference(rew,[status(thm),theory(equality)],[1076,1124]),
[iquote('0:Rew:1076.0,1124.0')] ).
cnf(1171,plain,
equal(complement(zero),top),
inference(spr,[status(thm),theory(equality)],[1056,15]),
[iquote('0:SpR:1056.0,15.0')] ).
cnf(1172,plain,
equal(join(u,zero),u),
inference(spr,[status(thm),theory(equality)],[1056,4]),
[iquote('0:SpR:1056.0,4.0')] ).
cnf(1176,plain,
equal(join(converse(zero),u),converse(converse(u))),
inference(spr,[status(thm),theory(equality)],[1056,42]),
[iquote('0:SpR:1056.0,42.0')] ).
cnf(1189,plain,
equal(join(converse(zero),u),u),
inference(rew,[status(thm),theory(equality)],[11,1176]),
[iquote('0:Rew:11.0,1176.0')] ).
cnf(1265,plain,
equal(join(u,converse(complement(converse(u)))),converse(top)),
inference(spr,[status(thm),theory(equality)],[15,43]),
[iquote('0:SpR:15.0,43.0')] ).
cnf(1307,plain,
equal(converse(zero),zero),
inference(spr,[status(thm),theory(equality)],[1189,1172]),
[iquote('0:SpR:1189.0,1172.0')] ).
cnf(1355,plain,
equal(composition(converse(complement(composition(u,top))),u),converse(zero)),
inference(spr,[status(thm),theory(equality)],[1074,37]),
[iquote('0:SpR:1074.0,37.0')] ).
cnf(1358,plain,
equal(composition(u,complement(composition(converse(u),top))),zero),
inference(spr,[status(thm),theory(equality)],[11,1074]),
[iquote('0:SpR:11.0,1074.0')] ).
cnf(1370,plain,
equal(composition(converse(complement(composition(u,top))),u),zero),
inference(rew,[status(thm),theory(equality)],[1307,1355]),
[iquote('0:Rew:1307.0,1355.0')] ).
cnf(1498,plain,
equal(join(top,converse(complement(converse(complement(u))))),join(u,converse(top))),
inference(spr,[status(thm),theory(equality)],[1265,168]),
[iquote('0:SpR:1265.0,168.0')] ).
cnf(1818,plain,
equal(composition(complement(composition(top,top)),complement(zero)),zero),
inference(spr,[status(thm),theory(equality)],[1370,1358]),
[iquote('0:SpR:1370.0,1358.0')] ).
cnf(1830,plain,
equal(composition(complement(composition(top,top)),top),zero),
inference(rew,[status(thm),theory(equality)],[1171,1818]),
[iquote('0:Rew:1171.0,1818.0')] ).
cnf(1849,plain,
equal(join(meet(zero,u),composition(meet(complement(composition(top,top)),composition(u,converse(top))),meet(top,composition(converse(complement(composition(top,top))),u)))),composition(meet(complement(composition(top,top)),composition(u,converse(top))),meet(top,composition(converse(complement(composition(top,top))),u)))),
inference(spr,[status(thm),theory(equality)],[1830,17]),
[iquote('0:SpR:1830.0,17.0')] ).
cnf(1861,plain,
equal(join(meet(zero,u),composition(meet(complement(composition(top,top)),composition(u,converse(top))),composition(converse(complement(composition(top,top))),u))),composition(meet(complement(composition(top,top)),composition(u,converse(top))),composition(converse(complement(composition(top,top))),u))),
inference(rew,[status(thm),theory(equality)],[1100,1849]),
[iquote('0:Rew:1100.0,1849.0')] ).
cnf(1950,plain,
equal(join(complement(u),join(complement(u),u)),top),
inference(spr,[status(thm),theory(equality)],[1087,186]),
[iquote('0:SpR:1087.0,186.0')] ).
cnf(1962,plain,
equal(join(top,complement(u)),top),
inference(rew,[status(thm),theory(equality)],[4,1950,15]),
[iquote('0:Rew:4.0,1950.0,15.0,1950.0,4.0,1950.0')] ).
cnf(1973,plain,
equal(join(u,top),top),
inference(spr,[status(thm),theory(equality)],[1962,163]),
[iquote('0:SpR:1962.0,163.0')] ).
cnf(1976,plain,
equal(join(top,u),top),
inference(spr,[status(thm),theory(equality)],[1063,1962]),
[iquote('0:SpR:1063.0,1962.0')] ).
cnf(1988,plain,
equal(join(u,converse(top)),top),
inference(rew,[status(thm),theory(equality)],[1976,1498]),
[iquote('0:Rew:1976.0,1498.0')] ).
cnf(1991,plain,
equal(join(u,join(v,complement(u))),top),
inference(rew,[status(thm),theory(equality)],[1976,1130]),
[iquote('0:Rew:1976.0,1130.0')] ).
cnf(2001,plain,
equal(join(u,converse(top)),converse(top)),
inference(spr,[status(thm),theory(equality)],[1973,43]),
[iquote('0:SpR:1973.0,43.0')] ).
cnf(2006,plain,
equal(converse(top),top),
inference(rew,[status(thm),theory(equality)],[1988,2001]),
[iquote('0:Rew:1988.0,2001.0')] ).
cnf(2016,plain,
equal(join(meet(zero,u),composition(meet(complement(composition(top,top)),composition(u,top)),composition(converse(complement(composition(top,top))),u))),composition(meet(complement(composition(top,top)),composition(u,top)),composition(converse(complement(composition(top,top))),u))),
inference(rew,[status(thm),theory(equality)],[2006,1861]),
[iquote('0:Rew:2006.0,1861.0')] ).
cnf(2033,plain,
equal(composition(top,complement(composition(top,top))),zero),
inference(spr,[status(thm),theory(equality)],[2006,1074]),
[iquote('0:SpR:2006.0,1074.0')] ).
cnf(2040,plain,
equal(join(complement(u),composition(top,complement(composition(top,u)))),complement(u)),
inference(spr,[status(thm),theory(equality)],[2006,22]),
[iquote('0:SpR:2006.0,22.0')] ).
cnf(2124,plain,
equal(join(zero,composition(u,complement(composition(top,top)))),composition(join(top,u),complement(composition(top,top)))),
inference(spr,[status(thm),theory(equality)],[2033,10]),
[iquote('0:SpR:2033.0,10.0')] ).
cnf(2131,plain,
equal(composition(u,complement(composition(top,top))),zero),
inference(rew,[status(thm),theory(equality)],[1056,2124,2033,1976]),
[iquote('0:Rew:1056.0,2124.0,2033.0,2124.0,1976.0,2124.0')] ).
cnf(2225,plain,
equal(composition(converse(complement(composition(top,top))),u),converse(zero)),
inference(spr,[status(thm),theory(equality)],[2131,37]),
[iquote('0:SpR:2131.0,37.0')] ).
cnf(2226,plain,
equal(complement(composition(top,top)),zero),
inference(spr,[status(thm),theory(equality)],[2131,600]),
[iquote('0:SpR:2131.0,600.0')] ).
cnf(2228,plain,
equal(composition(u,zero),zero),
inference(rew,[status(thm),theory(equality)],[2226,2131]),
[iquote('0:Rew:2226.0,2131.0')] ).
cnf(2234,plain,
equal(join(meet(zero,u),composition(meet(zero,composition(u,top)),composition(converse(zero),u))),composition(meet(zero,composition(u,top)),composition(converse(zero),u))),
inference(rew,[status(thm),theory(equality)],[2226,2016]),
[iquote('0:Rew:2226.0,2016.0')] ).
cnf(2325,plain,
equal(composition(converse(complement(composition(top,top))),u),zero),
inference(rew,[status(thm),theory(equality)],[1307,2225]),
[iquote('0:Rew:1307.0,2225.0')] ).
cnf(2326,plain,
equal(composition(converse(zero),u),zero),
inference(rew,[status(thm),theory(equality)],[2226,2325]),
[iquote('0:Rew:2226.0,2325.0')] ).
cnf(2327,plain,
equal(composition(zero,u),zero),
inference(rew,[status(thm),theory(equality)],[1307,2326]),
[iquote('0:Rew:1307.0,2326.0')] ).
cnf(2403,plain,
equal(join(meet(zero,u),composition(meet(zero,composition(u,top)),composition(zero,u))),composition(meet(zero,composition(u,top)),composition(zero,u))),
inference(rew,[status(thm),theory(equality)],[1307,2234]),
[iquote('0:Rew:1307.0,2234.0')] ).
cnf(2404,plain,
equal(join(meet(zero,u),zero),zero),
inference(rew,[status(thm),theory(equality)],[2228,2403,2327]),
[iquote('0:Rew:2228.0,2403.0,2327.0,2403.0')] ).
cnf(2405,plain,
equal(meet(zero,u),zero),
inference(rew,[status(thm),theory(equality)],[1056,2404,4]),
[iquote('0:Rew:1056.0,2404.0,4.0,2404.0')] ).
cnf(2900,plain,
equal(composition(top,top),complement(zero)),
inference(spr,[status(thm),theory(equality)],[2226,1063]),
[iquote('0:SpR:2226.0,1063.0')] ).
cnf(2911,plain,
equal(composition(top,top),top),
inference(rew,[status(thm),theory(equality)],[1171,2900]),
[iquote('0:Rew:1171.0,2900.0')] ).
cnf(2931,plain,
equal(composition(top,composition(top,u)),composition(top,u)),
inference(spr,[status(thm),theory(equality)],[2911,8]),
[iquote('0:SpR:2911.0,8.0')] ).
cnf(2934,plain,
equal(join(meet(top,u),meet(u,composition(top,meet(top,composition(converse(top),u))))),meet(u,composition(top,meet(top,composition(converse(top),u))))),
inference(spr,[status(thm),theory(equality)],[2911,57]),
[iquote('0:SpR:2911.0,57.0')] ).
cnf(2946,plain,
equal(join(u,meet(u,composition(top,composition(top,u)))),meet(u,composition(top,composition(top,u)))),
inference(rew,[status(thm),theory(equality)],[1100,2934,2006]),
[iquote('0:Rew:1100.0,2934.0,1100.0,2934.0,2006.0,2934.0')] ).
cnf(2947,plain,
equal(join(u,meet(u,composition(top,u))),meet(u,composition(top,u))),
inference(rew,[status(thm),theory(equality)],[2931,2946]),
[iquote('0:Rew:2931.0,2946.0')] ).
cnf(3300,plain,
equal(join(one,composition(join(converse(sk2),u),sk2)),join(one,composition(u,sk2))),
inference(spr,[status(thm),theory(equality)],[10,171]),
[iquote('0:SpR:10.0,171.0')] ).
cnf(3340,plain,
equal(join(complement(composition(top,u)),composition(converse(top),complement(composition(top,u)))),complement(composition(top,u))),
inference(spr,[status(thm),theory(equality)],[2931,22]),
[iquote('0:SpR:2931.0,22.0')] ).
cnf(3357,plain,
equal(join(complement(composition(top,u)),composition(top,complement(composition(top,u)))),complement(composition(top,u))),
inference(rew,[status(thm),theory(equality)],[2006,3340]),
[iquote('0:Rew:2006.0,3340.0')] ).
cnf(3358,plain,
equal(composition(join(one,top),complement(composition(top,u))),complement(composition(top,u))),
inference(rew,[status(thm),theory(equality)],[612,3357]),
[iquote('0:Rew:612.0,3357.0')] ).
cnf(3359,plain,
equal(composition(top,complement(composition(top,u))),complement(composition(top,u))),
inference(rew,[status(thm),theory(equality)],[1973,3358]),
[iquote('0:Rew:1973.0,3358.0')] ).
cnf(3360,plain,
equal(join(complement(u),complement(composition(top,u))),complement(u)),
inference(rew,[status(thm),theory(equality)],[3359,2040]),
[iquote('0:Rew:3359.0,2040.0')] ).
cnf(3361,plain,
equal(complement(meet(u,composition(top,u))),complement(u)),
inference(rew,[status(thm),theory(equality)],[1076,3360]),
[iquote('0:Rew:1076.0,3360.0')] ).
cnf(3415,plain,
equal(meet(u,composition(top,u)),complement(complement(u))),
inference(spr,[status(thm),theory(equality)],[3361,1063]),
[iquote('0:SpR:3361.0,1063.0')] ).
cnf(3437,plain,
equal(meet(u,composition(top,u)),u),
inference(rew,[status(thm),theory(equality)],[1063,3415]),
[iquote('0:Rew:1063.0,3415.0')] ).
cnf(3439,plain,
equal(join(u,u),u),
inference(rew,[status(thm),theory(equality)],[3437,2947]),
[iquote('0:Rew:3437.0,2947.0')] ).
cnf(3548,plain,
equal(join(u,join(u,v)),join(u,v)),
inference(spr,[status(thm),theory(equality)],[3439,5]),
[iquote('0:SpR:3439.0,5.0')] ).
cnf(3678,plain,
equal(join(meet(u,v),u),u),
inference(spr,[status(thm),theory(equality)],[89,3548]),
[iquote('0:SpR:89.0,3548.0')] ).
cnf(3690,plain,
equal(join(u,meet(u,v)),u),
inference(rew,[status(thm),theory(equality)],[4,3678]),
[iquote('0:Rew:4.0,3678.0')] ).
cnf(3813,plain,
equal(join(u,meet(v,u)),u),
inference(spr,[status(thm),theory(equality)],[55,3690]),
[iquote('0:SpR:55.0,3690.0')] ).
cnf(3838,plain,
equal(join(u,converse(meet(v,converse(u)))),converse(converse(u))),
inference(spr,[status(thm),theory(equality)],[3813,43]),
[iquote('0:SpR:3813.0,43.0')] ).
cnf(3864,plain,
equal(join(u,converse(meet(v,converse(u)))),u),
inference(rew,[status(thm),theory(equality)],[11,3838]),
[iquote('0:Rew:11.0,3838.0')] ).
cnf(4673,plain,
equal(join(u,complement(meet(u,v))),top),
inference(spr,[status(thm),theory(equality)],[1144,1991]),
[iquote('0:SpR:1144.0,1991.0')] ).
cnf(6497,plain,
equal(join(composition(join(u,v),w),complement(composition(v,w))),join(composition(u,w),top)),
inference(spr,[status(thm),theory(equality)],[15,346]),
[iquote('0:SpR:15.0,346.0')] ).
cnf(6562,plain,
equal(join(complement(composition(u,v)),composition(join(w,u),v)),top),
inference(rew,[status(thm),theory(equality)],[4,6497,1976]),
[iquote('0:Rew:4.0,6497.0,1976.0,6497.0,4.0,6497.0')] ).
cnf(7994,plain,
equal(meet(join(meet(u,v),w),join(meet(u,v),complement(w))),complement(complement(meet(u,v)))),
inference(spr,[status(thm),theory(equality)],[1168,1063]),
[iquote('0:SpR:1168.0,1063.0')] ).
cnf(8119,plain,
equal(meet(join(meet(u,v),w),join(meet(u,v),complement(w))),meet(u,v)),
inference(rew,[status(thm),theory(equality)],[1063,7994]),
[iquote('0:Rew:1063.0,7994.0')] ).
cnf(11286,plain,
equal(complement(meet(u,meet(complement(u),v))),top),
inference(spr,[status(thm),theory(equality)],[1076,4673]),
[iquote('0:SpR:1076.0,4673.0')] ).
cnf(11321,plain,
equal(complement(meet(complement(u),v)),join(u,complement(v))),
inference(spr,[status(thm),theory(equality)],[1063,1076]),
[iquote('0:SpR:1063.0,1076.0')] ).
cnf(11459,plain,
equal(meet(u,meet(complement(u),v)),complement(top)),
inference(spr,[status(thm),theory(equality)],[11286,1063]),
[iquote('0:SpR:11286.0,1063.0')] ).
cnf(11539,plain,
equal(meet(u,meet(complement(u),v)),zero),
inference(rew,[status(thm),theory(equality)],[54,11459]),
[iquote('0:Rew:54.0,11459.0')] ).
cnf(11577,plain,
equal(join(zero,meet(u,complement(meet(complement(u),v)))),u),
inference(spr,[status(thm),theory(equality)],[11539,89]),
[iquote('0:SpR:11539.0,89.0')] ).
cnf(11618,plain,
equal(meet(complement(u),meet(u,v)),zero),
inference(spr,[status(thm),theory(equality)],[1063,11539]),
[iquote('0:SpR:1063.0,11539.0')] ).
cnf(11648,plain,
equal(meet(u,complement(meet(complement(u),v))),u),
inference(rew,[status(thm),theory(equality)],[1056,11577]),
[iquote('0:Rew:1056.0,11577.0')] ).
cnf(11649,plain,
equal(meet(u,join(u,complement(v))),u),
inference(rew,[status(thm),theory(equality)],[11321,11648]),
[iquote('0:Rew:11321.0,11648.0')] ).
cnf(11692,plain,
equal(meet(complement(u),meet(v,u)),zero),
inference(spr,[status(thm),theory(equality)],[55,11618]),
[iquote('0:SpR:55.0,11618.0')] ).
cnf(12188,plain,
equal(meet(u,join(u,v)),u),
inference(spr,[status(thm),theory(equality)],[1063,11649]),
[iquote('0:SpR:1063.0,11649.0')] ).
cnf(12279,plain,
equal(meet(u,join(v,u)),u),
inference(spr,[status(thm),theory(equality)],[4,12188]),
[iquote('0:SpR:4.0,12188.0')] ).
cnf(12570,plain,
equal(meet(complement(join(u,v)),v),zero),
inference(spr,[status(thm),theory(equality)],[12279,11692]),
[iquote('0:SpR:12279.0,11692.0')] ).
cnf(12710,plain,
equal(meet(u,complement(join(v,u))),zero),
inference(rew,[status(thm),theory(equality)],[55,12570]),
[iquote('0:Rew:55.0,12570.0')] ).
cnf(13467,plain,
equal(meet(converse(meet(u,converse(v))),complement(v)),zero),
inference(spr,[status(thm),theory(equality)],[3864,12710]),
[iquote('0:SpR:3864.0,12710.0')] ).
cnf(13480,plain,
equal(meet(composition(converse(u),complement(u)),complement(complement(one))),zero),
inference(spr,[status(thm),theory(equality)],[269,12710]),
[iquote('0:SpR:269.0,12710.0')] ).
cnf(13604,plain,
equal(meet(complement(u),converse(meet(v,converse(u)))),zero),
inference(rew,[status(thm),theory(equality)],[55,13467]),
[iquote('0:Rew:55.0,13467.0')] ).
cnf(13647,plain,
equal(meet(one,composition(converse(u),complement(u))),zero),
inference(rew,[status(thm),theory(equality)],[55,13480,1063]),
[iquote('0:Rew:55.0,13480.0,1063.0,13480.0')] ).
cnf(14808,plain,
equal(join(meet(composition(one,converse(complement(u))),converse(u)),meet(converse(u),composition(zero,converse(complement(u))))),meet(converse(u),composition(zero,converse(complement(u))))),
inference(spr,[status(thm),theory(equality)],[13647,459]),
[iquote('0:SpR:13647.0,459.0')] ).
cnf(14855,plain,
equal(meet(converse(u),converse(complement(u))),zero),
inference(rew,[status(thm),theory(equality)],[1056,14808,4,55,600,2405,2327]),
[iquote('0:Rew:1056.0,14808.0,4.0,14808.0,55.0,14808.0,600.0,14808.0,2405.0,14808.0,55.0,14808.0,2327.0,14808.0')] ).
cnf(15029,plain,
equal(join(zero,meet(converse(u),complement(converse(complement(u))))),converse(u)),
inference(spr,[status(thm),theory(equality)],[14855,89]),
[iquote('0:SpR:14855.0,89.0')] ).
cnf(15067,plain,
equal(meet(u,converse(complement(converse(u)))),zero),
inference(spr,[status(thm),theory(equality)],[11,14855]),
[iquote('0:SpR:11.0,14855.0')] ).
cnf(15101,plain,
equal(meet(converse(u),complement(converse(complement(u)))),converse(u)),
inference(rew,[status(thm),theory(equality)],[1056,15029]),
[iquote('0:Rew:1056.0,15029.0')] ).
cnf(15206,plain,
equal(join(zero,meet(u,complement(converse(complement(converse(u)))))),u),
inference(spr,[status(thm),theory(equality)],[15067,89]),
[iquote('0:SpR:15067.0,89.0')] ).
cnf(15284,plain,
equal(meet(u,complement(converse(complement(converse(u))))),u),
inference(rew,[status(thm),theory(equality)],[1056,15206]),
[iquote('0:Rew:1056.0,15206.0')] ).
cnf(16142,plain,
equal(join(meet(complement(converse(complement(converse(complement(u))))),u),complement(u)),complement(converse(complement(converse(complement(u)))))),
inference(spr,[status(thm),theory(equality)],[15284,1146]),
[iquote('0:SpR:15284.0,1146.0')] ).
cnf(16195,plain,
equal(join(complement(u),meet(u,complement(converse(complement(converse(complement(u))))))),complement(converse(complement(converse(complement(u)))))),
inference(rew,[status(thm),theory(equality)],[4,16142,55]),
[iquote('0:Rew:4.0,16142.0,55.0,16142.0')] ).
cnf(23550,plain,
equal(meet(complement(converse(u)),converse(meet(v,u))),zero),
inference(spr,[status(thm),theory(equality)],[11,13604]),
[iquote('0:SpR:11.0,13604.0')] ).
cnf(29154,plain,
equal(meet(complement(converse(complement(converse(complement(u))))),converse(converse(u))),zero),
inference(spr,[status(thm),theory(equality)],[15101,23550]),
[iquote('0:SpR:15101.0,23550.0')] ).
cnf(29256,plain,
equal(meet(u,complement(converse(complement(converse(complement(u)))))),zero),
inference(rew,[status(thm),theory(equality)],[55,29154,11]),
[iquote('0:Rew:55.0,29154.0,11.0,29154.0')] ).
cnf(29257,plain,
equal(complement(converse(complement(converse(complement(u))))),join(complement(u),zero)),
inference(rew,[status(thm),theory(equality)],[29256,16195]),
[iquote('0:Rew:29256.0,16195.0')] ).
cnf(29258,plain,
equal(complement(converse(complement(converse(complement(u))))),complement(u)),
inference(rew,[status(thm),theory(equality)],[1056,29257,4]),
[iquote('0:Rew:1056.0,29257.0,4.0,29257.0')] ).
cnf(29404,plain,
equal(complement(converse(complement(converse(u)))),u),
inference(spr,[status(thm),theory(equality)],[1063,29258]),
[iquote('0:SpR:1063.0,29258.0')] ).
cnf(29722,plain,
equal(converse(complement(converse(u))),complement(u)),
inference(spr,[status(thm),theory(equality)],[29404,1063]),
[iquote('0:SpR:29404.0,1063.0')] ).
cnf(30047,plain,
equal(complement(converse(u)),converse(complement(u))),
inference(spr,[status(thm),theory(equality)],[29722,11]),
[iquote('0:SpR:29722.0,11.0')] ).
cnf(42835,plain,
equal(join(complement(composition(composition(converse(sk1),sk1),u)),composition(one,u)),top),
inference(spr,[status(thm),theory(equality)],[21,6562]),
[iquote('0:SpR:21.0,6562.0')] ).
cnf(42991,plain,
equal(join(u,complement(composition(converse(sk1),composition(sk1,u)))),top),
inference(rew,[status(thm),theory(equality)],[4,42835,8,600]),
[iquote('0:Rew:4.0,42835.0,8.0,42835.0,600.0,42835.0')] ).
cnf(164473,plain,
equal(join(u,converse(complement(composition(converse(sk1),composition(sk1,converse(u)))))),converse(top)),
inference(spr,[status(thm),theory(equality)],[42991,43]),
[iquote('0:SpR:42991.0,43.0')] ).
cnf(164642,plain,
equal(join(u,complement(composition(u,composition(converse(sk1),sk1)))),top),
inference(rew,[status(thm),theory(equality)],[11,164473,30047,580,2006]),
[iquote('0:Rew:11.0,164473.0,30047.0,164473.0,580.0,164473.0,2006.0,164473.0')] ).
cnf(168238,plain,
equal(meet(join(u,v),join(u,complement(v))),u),
inference(spr,[status(thm),theory(equality)],[1150,8119]),
[iquote('0:SpR:1150.0,8119.0')] ).
cnf(202188,plain,
equal(meet(join(u,composition(u,composition(converse(sk1),sk1))),top),u),
inference(spr,[status(thm),theory(equality)],[164642,168238]),
[iquote('0:SpR:164642.0,168238.0')] ).
cnf(202457,plain,
equal(join(u,composition(u,composition(converse(sk1),sk1))),u),
inference(rew,[status(thm),theory(equality)],[1100,202188,55]),
[iquote('0:Rew:1100.0,202188.0,55.0,202188.0')] ).
cnf(202762,plain,
equal(join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2)),join(one,composition(converse(sk2),sk2))),
inference(spr,[status(thm),theory(equality)],[202457,3300]),
[iquote('0:SpR:202457.0,3300.0')] ).
cnf(202916,plain,
equal(join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))),one),
inference(rew,[status(thm),theory(equality)],[8,202762,127,20]),
[iquote('0:Rew:8.0,202762.0,127.0,202762.0,20.0,202762.0')] ).
cnf(202917,plain,
$false,
inference(mrr,[status(thm)],[202916,23]),
[iquote('0:MRR:202916.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL031-2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 11:14:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 261.25/261.47
% 261.25/261.47 SPASS V 3.9
% 261.25/261.47 SPASS beiseite: Proof found.
% 261.25/261.47 % SZS status Theorem
% 261.25/261.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 261.25/261.47 SPASS derived 120733 clauses, backtracked 0 clauses, performed 0 splits and kept 15168 clauses.
% 261.25/261.47 SPASS allocated 266119 KBytes.
% 261.25/261.47 SPASS spent 0:4:20.87 on the problem.
% 261.25/261.47 0:00:00.04 for the input.
% 261.25/261.47 0:00:00.00 for the FLOTTER CNF translation.
% 261.25/261.47 0:00:01.01 for inferences.
% 261.25/261.47 0:00:00.00 for the backtracking.
% 261.25/261.47 0:4:19.52 for the reduction.
% 261.25/261.47
% 261.25/261.47
% 261.25/261.47 Here is a proof with depth 20, length 217 :
% 261.25/261.47 % SZS output start Refutation
% See solution above
% 267.88/268.09 Formulae used in the proof : goals_17 goals_18 goals_19 maddux1_join_commutativity_1 maddux2_join_associativity_2 maddux3_a_kind_of_de_Morgan_3 maddux4_definiton_of_meet_4 composition_associativity_5 composition_identity_6 composition_distributivity_7 converse_idempotence_8 converse_additivity_9 converse_multiplicativity_10 converse_cancellativity_11 def_top_12 def_zero_13 dedekind_law_14 modular_law_1_15 modular_law_2_16
% 267.88/268.09
%------------------------------------------------------------------------------