%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : REL045-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 20:02:28 EDT 2022
% Result : Unsatisfiable 3.96s 4.18s
% Output : Refutation 4.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 17
% Syntax : Number of clauses : 108 ( 108 unt; 0 nHn; 108 RR)
% Number of literals : 108 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(join(sk1,composition(composition(sk1,converse(sk1)),sk1)),composition(composition(sk1,converse(sk1)),sk1)),
file('REL045-2.p',unknown),
[] ).
cnf(2,axiom,
equal(join(u,v),join(v,u)),
file('REL045-2.p',unknown),
[] ).
cnf(3,axiom,
equal(join(join(u,v),w),join(u,join(v,w))),
file('REL045-2.p',unknown),
[] ).
cnf(4,axiom,
equal(join(complement(join(complement(u),complement(v))),complement(join(complement(u),v))),u),
file('REL045-2.p',unknown),
[] ).
cnf(5,axiom,
equal(complement(join(complement(u),complement(v))),meet(u,v)),
file('REL045-2.p',unknown),
[] ).
cnf(6,axiom,
equal(composition(composition(u,v),w),composition(u,composition(v,w))),
file('REL045-2.p',unknown),
[] ).
cnf(7,axiom,
equal(composition(u,one),u),
file('REL045-2.p',unknown),
[] ).
cnf(8,axiom,
equal(join(composition(u,v),composition(w,v)),composition(join(u,w),v)),
file('REL045-2.p',unknown),
[] ).
cnf(9,axiom,
equal(converse(converse(u)),u),
file('REL045-2.p',unknown),
[] ).
cnf(10,axiom,
equal(join(converse(u),converse(v)),converse(join(u,v))),
file('REL045-2.p',unknown),
[] ).
cnf(11,axiom,
equal(composition(converse(u),converse(v)),converse(composition(v,u))),
file('REL045-2.p',unknown),
[] ).
cnf(12,axiom,
equal(join(composition(converse(u),complement(composition(u,v))),complement(v)),complement(v)),
file('REL045-2.p',unknown),
[] ).
cnf(13,axiom,
equal(join(u,complement(u)),top),
file('REL045-2.p',unknown),
[] ).
cnf(14,axiom,
equal(meet(u,complement(u)),zero),
file('REL045-2.p',unknown),
[] ).
cnf(15,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('REL045-2.p',unknown),
[] ).
cnf(16,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('REL045-2.p',unknown),
[] ).
cnf(17,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('REL045-2.p',unknown),
[] ).
cnf(18,plain,
equal(join(complement(u),composition(converse(v),complement(composition(v,u)))),complement(u)),
inference(rew,[status(thm),theory(equality)],[2,12]),
[iquote('0:Rew:2.0,12.0')] ).
cnf(19,plain,
equal(join(meet(u,v),complement(join(complement(u),v))),u),
inference(rew,[status(thm),theory(equality)],[5,4]),
[iquote('0:Rew:5.0,4.0')] ).
cnf(20,plain,
~ equal(join(sk1,composition(sk1,composition(converse(sk1),sk1))),composition(sk1,composition(converse(sk1),sk1))),
inference(rew,[status(thm),theory(equality)],[6,1]),
[iquote('0:Rew:6.0,1.0')] ).
cnf(31,plain,
equal(converse(composition(converse(u),v)),composition(converse(v),u)),
inference(spr,[status(thm),theory(equality)],[9,11]),
[iquote('0:SpR:9.0,11.0')] ).
cnf(37,plain,
equal(converse(join(converse(u),v)),join(u,converse(v))),
inference(spr,[status(thm),theory(equality)],[9,10]),
[iquote('0:SpR:9.0,10.0')] ).
cnf(75,plain,
equal(join(join(complement(u),complement(v)),meet(u,v)),top),
inference(spr,[status(thm),theory(equality)],[5,13]),
[iquote('0:SpR:5.0,13.0')] ).
cnf(79,plain,
equal(meet(u,complement(u)),complement(top)),
inference(spr,[status(thm),theory(equality)],[13,5]),
[iquote('0:SpR:13.0,5.0')] ).
cnf(80,plain,
equal(complement(join(complement(u),complement(v))),meet(v,u)),
inference(spr,[status(thm),theory(equality)],[2,5]),
[iquote('0:SpR:2.0,5.0')] ).
cnf(82,plain,
equal(complement(top),zero),
inference(rew,[status(thm),theory(equality)],[14,79]),
[iquote('0:Rew:14.0,79.0')] ).
cnf(83,plain,
equal(meet(u,v),meet(v,u)),
inference(rew,[status(thm),theory(equality)],[5,80]),
[iquote('0:Rew:5.0,80.0')] ).
cnf(84,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)],[83,17]),
[iquote('0:Rew:83.0,17.0')] ).
cnf(85,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)],[83,16]),
[iquote('0:Rew:83.0,16.0')] ).
cnf(88,plain,
equal(join(meet(u,v),join(complement(u),complement(v))),top),
inference(rew,[status(thm),theory(equality)],[2,75]),
[iquote('0:Rew:2.0,75.0')] ).
cnf(93,plain,
equal(join(meet(u,complement(complement(u))),complement(top)),u),
inference(spr,[status(thm),theory(equality)],[13,19]),
[iquote('0:SpR:13.0,19.0')] ).
cnf(96,plain,
equal(join(meet(u,complement(v)),meet(u,v)),u),
inference(spr,[status(thm),theory(equality)],[5,19]),
[iquote('0:SpR:5.0,19.0')] ).
cnf(97,plain,
equal(join(zero,complement(join(complement(u),complement(u)))),u),
inference(spr,[status(thm),theory(equality)],[14,19]),
[iquote('0:SpR:14.0,19.0')] ).
cnf(98,plain,
equal(join(complement(top),meet(u,complement(complement(u)))),u),
inference(rew,[status(thm),theory(equality)],[2,93]),
[iquote('0:Rew:2.0,93.0')] ).
cnf(99,plain,
equal(join(zero,meet(u,complement(complement(u)))),u),
inference(rew,[status(thm),theory(equality)],[82,98]),
[iquote('0:Rew:82.0,98.0')] ).
cnf(100,plain,
equal(join(meet(u,v),meet(u,complement(v))),u),
inference(rew,[status(thm),theory(equality)],[2,96]),
[iquote('0:Rew:2.0,96.0')] ).
cnf(101,plain,
equal(join(zero,meet(u,u)),u),
inference(rew,[status(thm),theory(equality)],[5,97]),
[iquote('0:Rew:5.0,97.0')] ).
cnf(106,plain,
equal(complement(join(zero,complement(u))),meet(top,u)),
inference(spr,[status(thm),theory(equality)],[82,5]),
[iquote('0:SpR:82.0,5.0')] ).
cnf(159,plain,
equal(join(u,join(v,complement(join(u,v)))),top),
inference(spr,[status(thm),theory(equality)],[3,13]),
[iquote('0:SpR:3.0,13.0')] ).
cnf(160,plain,
equal(join(u,join(v,w)),join(w,join(u,v))),
inference(spr,[status(thm),theory(equality)],[3,2]),
[iquote('0:SpR:3.0,2.0')] ).
cnf(166,plain,
equal(join(u,join(complement(u),v)),join(top,v)),
inference(spr,[status(thm),theory(equality)],[13,3]),
[iquote('0:SpR:13.0,3.0')] ).
cnf(174,plain,
equal(join(complement(u),join(meet(v,u),complement(v))),top),
inference(rew,[status(thm),theory(equality)],[160,88]),
[iquote('0:Rew:160.0,88.0')] ).
cnf(180,plain,
equal(join(complement(u),join(complement(v),meet(v,u))),top),
inference(rew,[status(thm),theory(equality)],[2,174]),
[iquote('0:Rew:2.0,174.0')] ).
cnf(226,plain,
equal(join(zero,composition(converse(u),complement(composition(u,top)))),zero),
inference(spr,[status(thm),theory(equality)],[82,18]),
[iquote('0:SpR:82.0,18.0')] ).
cnf(264,plain,
equal(join(composition(u,v),composition(w,composition(x,v))),composition(join(u,composition(w,x)),v)),
inference(spr,[status(thm),theory(equality)],[6,8]),
[iquote('0:SpR:6.0,8.0')] ).
cnf(566,plain,
equal(composition(converse(one),u),converse(converse(u))),
inference(spr,[status(thm),theory(equality)],[7,31]),
[iquote('0:SpR:7.0,31.0')] ).
cnf(569,plain,
equal(composition(converse(one),u),u),
inference(rew,[status(thm),theory(equality)],[9,566]),
[iquote('0:Rew:9.0,566.0')] ).
cnf(590,plain,
equal(join(meet(composition(u,converse(v)),w),composition(meet(u,composition(w,v)),meet(converse(v),composition(converse(u),w)))),composition(meet(u,composition(w,v)),meet(converse(v),composition(converse(u),w)))),
inference(spr,[status(thm),theory(equality)],[9,15]),
[iquote('0:SpR:9.0,15.0')] ).
cnf(611,plain,
equal(converse(one),one),
inference(spr,[status(thm),theory(equality)],[569,7]),
[iquote('0:SpR:569.0,7.0')] ).
cnf(614,plain,
equal(join(u,composition(v,u)),composition(join(converse(one),v),u)),
inference(spr,[status(thm),theory(equality)],[569,8]),
[iquote('0:SpR:569.0,8.0')] ).
cnf(623,plain,
equal(join(complement(u),complement(composition(one,u))),complement(u)),
inference(spr,[status(thm),theory(equality)],[569,18]),
[iquote('0:SpR:569.0,18.0')] ).
cnf(629,plain,
equal(composition(one,u),u),
inference(rew,[status(thm),theory(equality)],[611,569]),
[iquote('0:Rew:611.0,569.0')] ).
cnf(644,plain,
equal(join(complement(u),complement(u)),complement(u)),
inference(rew,[status(thm),theory(equality)],[629,623]),
[iquote('0:Rew:629.0,623.0')] ).
cnf(645,plain,
equal(join(u,composition(v,u)),composition(join(one,v),u)),
inference(rew,[status(thm),theory(equality)],[611,614]),
[iquote('0:Rew:611.0,614.0')] ).
cnf(716,plain,
equal(meet(u,u),complement(complement(u))),
inference(spr,[status(thm),theory(equality)],[644,5]),
[iquote('0:SpR:644.0,5.0')] ).
cnf(722,plain,
equal(join(zero,zero),zero),
inference(spr,[status(thm),theory(equality)],[82,644]),
[iquote('0:SpR:82.0,644.0')] ).
cnf(744,plain,
equal(join(zero,complement(complement(u))),u),
inference(rew,[status(thm),theory(equality)],[716,101]),
[iquote('0:Rew:716.0,101.0')] ).
cnf(785,plain,
equal(join(zero,complement(meet(u,v))),join(complement(u),complement(v))),
inference(spr,[status(thm),theory(equality)],[5,744]),
[iquote('0:SpR:5.0,744.0')] ).
cnf(816,plain,
equal(join(zero,join(zero,u)),join(zero,u)),
inference(spr,[status(thm),theory(equality)],[722,3]),
[iquote('0:SpR:722.0,3.0')] ).
cnf(1067,plain,
equal(join(zero,u),u),
inference(spr,[status(thm),theory(equality)],[99,816]),
[iquote('0:SpR:99.0,816.0')] ).
cnf(1074,plain,
equal(complement(complement(u)),u),
inference(rew,[status(thm),theory(equality)],[1067,744]),
[iquote('0:Rew:1067.0,744.0')] ).
cnf(1075,plain,
equal(meet(top,u),complement(complement(u))),
inference(rew,[status(thm),theory(equality)],[1067,106]),
[iquote('0:Rew:1067.0,106.0')] ).
cnf(1082,plain,
equal(composition(converse(u),complement(composition(u,top))),zero),
inference(rew,[status(thm),theory(equality)],[1067,226]),
[iquote('0:Rew:1067.0,226.0')] ).
cnf(1087,plain,
equal(join(complement(u),complement(v)),complement(meet(u,v))),
inference(rew,[status(thm),theory(equality)],[1067,785]),
[iquote('0:Rew:1067.0,785.0')] ).
cnf(1098,plain,
equal(meet(u,u),u),
inference(rew,[status(thm),theory(equality)],[1074,716]),
[iquote('0:Rew:1074.0,716.0')] ).
cnf(1111,plain,
equal(meet(top,u),u),
inference(rew,[status(thm),theory(equality)],[1074,1075]),
[iquote('0:Rew:1074.0,1075.0')] ).
cnf(1182,plain,
equal(complement(zero),top),
inference(spr,[status(thm),theory(equality)],[1067,13]),
[iquote('0:SpR:1067.0,13.0')] ).
cnf(1241,plain,
equal(join(u,converse(complement(converse(u)))),converse(top)),
inference(spr,[status(thm),theory(equality)],[13,37]),
[iquote('0:SpR:13.0,37.0')] ).
cnf(1504,plain,
equal(join(top,converse(complement(converse(complement(u))))),join(u,converse(top))),
inference(spr,[status(thm),theory(equality)],[1241,166]),
[iquote('0:SpR:1241.0,166.0')] ).
cnf(1951,plain,
equal(join(complement(u),join(complement(u),u)),top),
inference(spr,[status(thm),theory(equality)],[1098,180]),
[iquote('0:SpR:1098.0,180.0')] ).
cnf(1963,plain,
equal(join(top,complement(u)),top),
inference(rew,[status(thm),theory(equality)],[2,1951,13]),
[iquote('0:Rew:2.0,1951.0,13.0,1951.0,2.0,1951.0')] ).
cnf(1974,plain,
equal(join(u,top),top),
inference(spr,[status(thm),theory(equality)],[1963,159]),
[iquote('0:SpR:1963.0,159.0')] ).
cnf(1978,plain,
equal(join(top,u),top),
inference(spr,[status(thm),theory(equality)],[1074,1963]),
[iquote('0:SpR:1074.0,1963.0')] ).
cnf(1983,plain,
equal(join(u,converse(top)),top),
inference(rew,[status(thm),theory(equality)],[1978,1504]),
[iquote('0:Rew:1978.0,1504.0')] ).
cnf(1999,plain,
equal(join(u,converse(top)),converse(top)),
inference(spr,[status(thm),theory(equality)],[1974,37]),
[iquote('0:SpR:1974.0,37.0')] ).
cnf(2004,plain,
equal(converse(top),top),
inference(rew,[status(thm),theory(equality)],[1983,1999]),
[iquote('0:Rew:1983.0,1999.0')] ).
cnf(2030,plain,
equal(composition(top,complement(composition(top,top))),zero),
inference(spr,[status(thm),theory(equality)],[2004,1082]),
[iquote('0:SpR:2004.0,1082.0')] ).
cnf(2037,plain,
equal(join(complement(u),composition(top,complement(composition(top,u)))),complement(u)),
inference(spr,[status(thm),theory(equality)],[2004,18]),
[iquote('0:SpR:2004.0,18.0')] ).
cnf(2121,plain,
equal(join(zero,composition(u,complement(composition(top,top)))),composition(join(top,u),complement(composition(top,top)))),
inference(spr,[status(thm),theory(equality)],[2030,8]),
[iquote('0:SpR:2030.0,8.0')] ).
cnf(2128,plain,
equal(composition(u,complement(composition(top,top))),zero),
inference(rew,[status(thm),theory(equality)],[1067,2121,2030,1978]),
[iquote('0:Rew:1067.0,2121.0,2030.0,2121.0,1978.0,2121.0')] ).
cnf(2223,plain,
equal(complement(composition(top,top)),zero),
inference(spr,[status(thm),theory(equality)],[2128,629]),
[iquote('0:SpR:2128.0,629.0')] ).
cnf(2883,plain,
equal(composition(top,top),complement(zero)),
inference(spr,[status(thm),theory(equality)],[2223,1074]),
[iquote('0:SpR:2223.0,1074.0')] ).
cnf(2894,plain,
equal(composition(top,top),top),
inference(rew,[status(thm),theory(equality)],[1182,2883]),
[iquote('0:Rew:1182.0,2883.0')] ).
cnf(2914,plain,
equal(composition(top,composition(top,u)),composition(top,u)),
inference(spr,[status(thm),theory(equality)],[2894,6]),
[iquote('0:SpR:2894.0,6.0')] ).
cnf(2916,plain,
equal(join(meet(top,u),meet(u,composition(meet(top,composition(u,converse(top))),top))),meet(u,composition(meet(top,composition(u,converse(top))),top))),
inference(spr,[status(thm),theory(equality)],[2894,84]),
[iquote('0:SpR:2894.0,84.0')] ).
cnf(2917,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)],[2894,85]),
[iquote('0:SpR:2894.0,85.0')] ).
cnf(2929,plain,
equal(join(u,meet(u,composition(top,composition(top,u)))),meet(u,composition(top,composition(top,u)))),
inference(rew,[status(thm),theory(equality)],[1111,2917,2004]),
[iquote('0:Rew:1111.0,2917.0,1111.0,2917.0,2004.0,2917.0')] ).
cnf(2930,plain,
equal(join(u,meet(u,composition(top,u))),meet(u,composition(top,u))),
inference(rew,[status(thm),theory(equality)],[2914,2929]),
[iquote('0:Rew:2914.0,2929.0')] ).
cnf(2931,plain,
equal(join(u,meet(u,composition(u,top))),meet(u,composition(u,top))),
inference(rew,[status(thm),theory(equality)],[1111,2916,2894,6,2004]),
[iquote('0:Rew:1111.0,2916.0,2894.0,2916.0,6.0,2916.0,1111.0,2916.0,2004.0,2916.0')] ).
cnf(3318,plain,
equal(join(complement(composition(top,u)),composition(converse(top),complement(composition(top,u)))),complement(composition(top,u))),
inference(spr,[status(thm),theory(equality)],[2914,18]),
[iquote('0:SpR:2914.0,18.0')] ).
cnf(3335,plain,
equal(join(complement(composition(top,u)),composition(top,complement(composition(top,u)))),complement(composition(top,u))),
inference(rew,[status(thm),theory(equality)],[2004,3318]),
[iquote('0:Rew:2004.0,3318.0')] ).
cnf(3336,plain,
equal(composition(join(one,top),complement(composition(top,u))),complement(composition(top,u))),
inference(rew,[status(thm),theory(equality)],[645,3335]),
[iquote('0:Rew:645.0,3335.0')] ).
cnf(3337,plain,
equal(composition(top,complement(composition(top,u))),complement(composition(top,u))),
inference(rew,[status(thm),theory(equality)],[1974,3336]),
[iquote('0:Rew:1974.0,3336.0')] ).
cnf(3338,plain,
equal(join(complement(u),complement(composition(top,u))),complement(u)),
inference(rew,[status(thm),theory(equality)],[3337,2037]),
[iquote('0:Rew:3337.0,2037.0')] ).
cnf(3339,plain,
equal(complement(meet(u,composition(top,u))),complement(u)),
inference(rew,[status(thm),theory(equality)],[1087,3338]),
[iquote('0:Rew:1087.0,3338.0')] ).
cnf(3393,plain,
equal(meet(u,composition(top,u)),complement(complement(u))),
inference(spr,[status(thm),theory(equality)],[3339,1074]),
[iquote('0:SpR:3339.0,1074.0')] ).
cnf(3416,plain,
equal(meet(u,composition(top,u)),u),
inference(rew,[status(thm),theory(equality)],[1074,3393]),
[iquote('0:Rew:1074.0,3393.0')] ).
cnf(3418,plain,
equal(join(u,u),u),
inference(rew,[status(thm),theory(equality)],[3416,2930]),
[iquote('0:Rew:3416.0,2930.0')] ).
cnf(3484,plain,
equal(join(u,join(u,v)),join(u,v)),
inference(spr,[status(thm),theory(equality)],[3418,3]),
[iquote('0:SpR:3418.0,3.0')] ).
cnf(3653,plain,
equal(join(meet(u,v),u),u),
inference(spr,[status(thm),theory(equality)],[100,3484]),
[iquote('0:SpR:100.0,3484.0')] ).
cnf(3666,plain,
equal(join(u,meet(u,v)),u),
inference(rew,[status(thm),theory(equality)],[2,3653]),
[iquote('0:Rew:2.0,3653.0')] ).
cnf(3672,plain,
equal(meet(u,composition(u,top)),u),
inference(rew,[status(thm),theory(equality)],[3666,2931]),
[iquote('0:Rew:3666.0,2931.0')] ).
cnf(6948,plain,
equal(join(u,composition(v,composition(w,u))),composition(join(one,composition(v,w)),u)),
inference(spr,[status(thm),theory(equality)],[629,264]),
[iquote('0:SpR:629.0,264.0')] ).
cnf(6964,plain,
~ equal(composition(join(one,composition(sk1,converse(sk1))),sk1),composition(sk1,composition(converse(sk1),sk1))),
inference(rew,[status(thm),theory(equality)],[6948,20]),
[iquote('0:Rew:6948.0,20.0')] ).
cnf(17039,plain,
equal(join(meet(composition(u,converse(top)),u),composition(u,meet(converse(top),composition(converse(u),u)))),composition(u,meet(converse(top),composition(converse(u),u)))),
inference(spr,[status(thm),theory(equality)],[3672,590]),
[iquote('0:SpR:3672.0,590.0')] ).
cnf(17098,plain,
equal(join(u,composition(u,composition(converse(u),u))),composition(u,composition(converse(u),u))),
inference(rew,[status(thm),theory(equality)],[3672,17039,83,1111,2004]),
[iquote('0:Rew:3672.0,17039.0,83.0,17039.0,1111.0,17039.0,2004.0,17039.0')] ).
cnf(17099,plain,
equal(composition(join(one,composition(u,converse(u))),u),composition(u,composition(converse(u),u))),
inference(rew,[status(thm),theory(equality)],[6948,17098]),
[iquote('0:Rew:6948.0,17098.0')] ).
cnf(17100,plain,
$false,
inference(unc,[status(thm)],[17099,6964]),
[iquote('0:UnC:17099.0,6964.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL045-2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.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 16:13:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.96/4.18
% 3.96/4.18 SPASS V 3.9
% 3.96/4.18 SPASS beiseite: Proof found.
% 3.96/4.18 % SZS status Theorem
% 3.96/4.18 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.96/4.18 SPASS derived 10833 clauses, backtracked 0 clauses, performed 0 splits and kept 2377 clauses.
% 3.96/4.18 SPASS allocated 84853 KBytes.
% 3.96/4.18 SPASS spent 0:00:03.82 on the problem.
% 3.96/4.18 0:00:00.03 for the input.
% 3.96/4.18 0:00:00.00 for the FLOTTER CNF translation.
% 3.96/4.18 0:00:00.09 for inferences.
% 3.96/4.18 0:00:00.00 for the backtracking.
% 3.96/4.18 0:00:03.66 for the reduction.
% 3.96/4.18
% 3.96/4.18
% 3.96/4.18 Here is a proof with depth 14, length 108 :
% 3.96/4.18 % SZS output start Refutation
% See solution above
% 4.11/4.31 Formulae used in the proof : goals_17 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
% 4.11/4.31
%------------------------------------------------------------------------------