TSTP Solution File: LAT006-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:48:32 EDT 2022
% Result : Unsatisfiable 9.22s 9.44s
% Output : Refutation 9.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of clauses : 95 ( 95 unt; 0 nHn; 95 RR)
% Number of literals : 95 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(meet(u,join(u,v)),u),
file('LAT006-1.p',unknown),
[] ).
cnf(2,axiom,
equal(join(meet(u,v),meet(w,v)),meet(v,join(w,u))),
file('LAT006-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(meet(meet(a,b),c),meet(a,meet(b,c))),
file('LAT006-1.p',unknown),
[] ).
cnf(5,plain,
equal(meet(meet(u,v),meet(v,join(w,u))),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[2,1]),
[iquote('0:SpR:2.0,1.0')] ).
cnf(7,plain,
equal(meet(join(u,v),join(u,w)),join(meet(w,join(u,v)),u)),
inference(spr,[status(thm),theory(equality)],[1,2]),
[iquote('0:SpR:1.0,2.0')] ).
cnf(8,plain,
equal(meet(join(u,v),join(w,u)),join(u,meet(w,join(u,v)))),
inference(spr,[status(thm),theory(equality)],[1,2]),
[iquote('0:SpR:1.0,2.0')] ).
cnf(10,plain,
equal(meet(meet(u,join(v,w)),join(x,meet(w,u))),join(meet(w,u),meet(x,meet(u,join(v,w))))),
inference(spr,[status(thm),theory(equality)],[5,2]),
[iquote('0:SpR:5.0,2.0')] ).
cnf(14,plain,
equal(meet(meet(u,v),v),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[1,5]),
[iquote('0:SpR:1.0,5.0')] ).
cnf(20,plain,
equal(join(meet(u,join(v,w)),join(meet(w,join(v,x)),v)),meet(join(v,w),join(join(v,x),u))),
inference(spr,[status(thm),theory(equality)],[7,2]),
[iquote('0:SpR:7.0,2.0')] ).
cnf(26,plain,
equal(meet(u,join(meet(v,u),w)),join(meet(w,u),meet(v,u))),
inference(spr,[status(thm),theory(equality)],[14,2]),
[iquote('0:SpR:14.0,2.0')] ).
cnf(27,plain,
equal(meet(u,join(v,meet(w,u))),join(meet(w,u),meet(v,u))),
inference(spr,[status(thm),theory(equality)],[14,2]),
[iquote('0:SpR:14.0,2.0')] ).
cnf(34,plain,
equal(meet(u,join(meet(v,u),w)),meet(u,join(v,w))),
inference(rew,[status(thm),theory(equality)],[2,26]),
[iquote('0:Rew:2.0,26.0')] ).
cnf(35,plain,
equal(meet(u,join(v,meet(w,u))),meet(u,join(v,w))),
inference(rew,[status(thm),theory(equality)],[2,27]),
[iquote('0:Rew:2.0,27.0')] ).
cnf(48,plain,
equal(meet(u,meet(u,join(v,w))),meet(u,join(w,meet(v,u)))),
inference(spr,[status(thm),theory(equality)],[2,34]),
[iquote('0:SpR:2.0,34.0')] ).
cnf(49,plain,
equal(meet(u,meet(u,join(v,w))),meet(u,join(w,v))),
inference(rew,[status(thm),theory(equality)],[35,48]),
[iquote('0:Rew:35.0,48.0')] ).
cnf(80,plain,
equal(meet(u,join(v,u)),meet(u,u)),
inference(spr,[status(thm),theory(equality)],[1,49]),
[iquote('0:SpR:1.0,49.0')] ).
cnf(100,plain,
equal(join(meet(u,v),meet(meet(w,v),join(meet(u,v),x))),meet(join(meet(u,v),x),meet(v,join(u,w)))),
inference(spr,[status(thm),theory(equality)],[2,8]),
[iquote('0:SpR:2.0,8.0')] ).
cnf(108,plain,
equal(meet(u,u),u),
inference(spr,[status(thm),theory(equality)],[80,1]),
[iquote('0:SpR:80.0,1.0')] ).
cnf(114,plain,
equal(join(meet(u,join(v,w)),meet(w,w)),meet(join(v,w),join(w,u))),
inference(spr,[status(thm),theory(equality)],[80,2]),
[iquote('0:SpR:80.0,2.0')] ).
cnf(115,plain,
equal(join(meet(u,u),meet(v,join(w,u))),meet(join(w,u),join(v,u))),
inference(spr,[status(thm),theory(equality)],[80,2]),
[iquote('0:SpR:80.0,2.0')] ).
cnf(121,plain,
equal(meet(u,join(v,u)),u),
inference(rew,[status(thm),theory(equality)],[108,80]),
[iquote('0:Rew:108.0,80.0')] ).
cnf(131,plain,
equal(meet(join(u,v),join(v,w)),join(meet(w,join(u,v)),v)),
inference(rew,[status(thm),theory(equality)],[108,114]),
[iquote('0:Rew:108.0,114.0')] ).
cnf(133,plain,
equal(meet(join(u,v),join(w,v)),join(v,meet(w,join(u,v)))),
inference(rew,[status(thm),theory(equality)],[108,115]),
[iquote('0:Rew:108.0,115.0')] ).
cnf(138,plain,
equal(join(meet(u,join(v,u)),v),join(v,u)),
inference(spr,[status(thm),theory(equality)],[108,7]),
[iquote('0:SpR:108.0,7.0')] ).
cnf(142,plain,
equal(meet(u,join(u,v)),join(meet(v,u),u)),
inference(spr,[status(thm),theory(equality)],[108,2]),
[iquote('0:SpR:108.0,2.0')] ).
cnf(150,plain,
equal(join(u,v),join(v,u)),
inference(rew,[status(thm),theory(equality)],[121,138]),
[iquote('0:Rew:121.0,138.0')] ).
cnf(151,plain,
equal(meet(join(u,v),join(u,w)),join(u,meet(w,join(u,v)))),
inference(rew,[status(thm),theory(equality)],[150,7]),
[iquote('0:Rew:150.0,7.0')] ).
cnf(153,plain,
equal(meet(join(u,v),join(v,w)),join(v,meet(w,join(u,v)))),
inference(rew,[status(thm),theory(equality)],[150,131]),
[iquote('0:Rew:150.0,131.0')] ).
cnf(161,plain,
equal(join(meet(u,join(v,w)),join(v,meet(w,join(v,x)))),meet(join(v,w),join(join(v,x),u))),
inference(rew,[status(thm),theory(equality)],[150,20]),
[iquote('0:Rew:150.0,20.0')] ).
cnf(167,plain,
equal(join(meet(u,v),v),v),
inference(rew,[status(thm),theory(equality)],[1,142]),
[iquote('0:Rew:1.0,142.0')] ).
cnf(168,plain,
equal(join(u,meet(v,u)),u),
inference(rew,[status(thm),theory(equality)],[150,167]),
[iquote('0:Rew:150.0,167.0')] ).
cnf(197,plain,
equal(join(meet(u,v),meet(w,v)),meet(v,join(u,w))),
inference(spr,[status(thm),theory(equality)],[150,2]),
[iquote('0:SpR:150.0,2.0')] ).
cnf(214,plain,
equal(meet(u,join(v,w)),meet(u,join(w,v))),
inference(rew,[status(thm),theory(equality)],[2,197]),
[iquote('0:Rew:2.0,197.0')] ).
cnf(255,plain,
equal(meet(u,meet(u,v)),meet(u,join(meet(w,v),v))),
inference(spr,[status(thm),theory(equality)],[168,49]),
[iquote('0:SpR:168.0,49.0')] ).
cnf(267,plain,
equal(join(u,u),u),
inference(spr,[status(thm),theory(equality)],[108,168]),
[iquote('0:SpR:108.0,168.0')] ).
cnf(274,plain,
equal(meet(u,meet(u,v)),meet(u,v)),
inference(rew,[status(thm),theory(equality)],[168,255,150]),
[iquote('0:Rew:168.0,255.0,150.0,255.0')] ).
cnf(285,plain,
equal(meet(meet(u,v),meet(v,u)),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[267,5]),
[iquote('0:SpR:267.0,5.0')] ).
cnf(287,plain,
equal(meet(u,join(v,v)),meet(v,u)),
inference(spr,[status(thm),theory(equality)],[267,2]),
[iquote('0:SpR:267.0,2.0')] ).
cnf(292,plain,
equal(meet(u,v),meet(v,u)),
inference(rew,[status(thm),theory(equality)],[267,287]),
[iquote('0:Rew:267.0,287.0')] ).
cnf(293,plain,
equal(meet(u,meet(v,u)),meet(v,u)),
inference(rew,[status(thm),theory(equality)],[292,14]),
[iquote('0:Rew:292.0,14.0')] ).
cnf(294,plain,
~ equal(meet(c,meet(a,b)),meet(a,meet(b,c))),
inference(rew,[status(thm),theory(equality)],[292,3]),
[iquote('0:Rew:292.0,3.0')] ).
cnf(314,plain,
equal(meet(meet(u,v),meet(join(w,u),v)),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[292,5]),
[iquote('0:SpR:292.0,5.0')] ).
cnf(315,plain,
equal(meet(join(u,v),join(v,w)),join(v,meet(u,join(v,w)))),
inference(spr,[status(thm),theory(equality)],[292,8]),
[iquote('0:SpR:292.0,8.0')] ).
cnf(316,plain,
equal(join(meet(u,v),meet(v,w)),meet(v,join(w,u))),
inference(spr,[status(thm),theory(equality)],[292,2]),
[iquote('0:SpR:292.0,2.0')] ).
cnf(321,plain,
equal(join(u,meet(u,v)),u),
inference(spr,[status(thm),theory(equality)],[292,168]),
[iquote('0:SpR:292.0,168.0')] ).
cnf(345,plain,
equal(join(u,meet(v,join(w,u))),join(u,meet(w,join(u,v)))),
inference(rew,[status(thm),theory(equality)],[153,315]),
[iquote('0:Rew:153.0,315.0')] ).
cnf(434,plain,
equal(meet(meet(u,v),meet(meet(u,v),join(w,u))),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[274,5]),
[iquote('0:SpR:274.0,5.0')] ).
cnf(451,plain,
equal(meet(meet(u,v),join(w,u)),meet(u,v)),
inference(rew,[status(thm),theory(equality)],[274,434]),
[iquote('0:Rew:274.0,434.0')] ).
cnf(463,plain,
equal(join(meet(u,meet(v,w)),meet(v,w)),meet(meet(v,w),join(w,u))),
inference(spr,[status(thm),theory(equality)],[293,2]),
[iquote('0:SpR:293.0,2.0')] ).
cnf(465,plain,
equal(meet(meet(u,v),meet(meet(u,v),join(w,v))),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[293,5]),
[iquote('0:SpR:293.0,5.0')] ).
cnf(488,plain,
equal(meet(meet(u,v),join(w,v)),meet(u,v)),
inference(rew,[status(thm),theory(equality)],[274,465]),
[iquote('0:Rew:274.0,465.0')] ).
cnf(489,plain,
equal(meet(meet(u,v),join(v,w)),meet(u,v)),
inference(rew,[status(thm),theory(equality)],[168,463,150]),
[iquote('0:Rew:168.0,463.0,150.0,463.0')] ).
cnf(592,plain,
equal(meet(u,join(v,w)),meet(join(w,v),u)),
inference(spr,[status(thm),theory(equality)],[214,292]),
[iquote('0:SpR:214.0,292.0')] ).
cnf(901,plain,
equal(join(meet(u,v),meet(u,meet(v,join(w,u)))),meet(meet(v,join(w,u)),u)),
inference(spr,[status(thm),theory(equality)],[321,10]),
[iquote('0:SpR:321.0,10.0')] ).
cnf(922,plain,
equal(meet(meet(u,join(v,w)),join(x,meet(v,u))),join(meet(v,u),meet(x,meet(u,join(v,w))))),
inference(spr,[status(thm),theory(equality)],[214,10]),
[iquote('0:SpR:214.0,10.0')] ).
cnf(932,plain,
equal(join(meet(u,v),meet(u,meet(v,join(w,u)))),meet(u,meet(v,join(w,u)))),
inference(rew,[status(thm),theory(equality)],[292,901]),
[iquote('0:Rew:292.0,901.0')] ).
cnf(1067,plain,
equal(meet(u,join(v,join(u,w))),u),
inference(spr,[status(thm),theory(equality)],[1,488]),
[iquote('0:SpR:1.0,488.0')] ).
cnf(1543,plain,
equal(join(join(u,v),meet(w,u)),join(u,v)),
inference(spr,[status(thm),theory(equality)],[489,168]),
[iquote('0:SpR:489.0,168.0')] ).
cnf(1556,plain,
equal(meet(meet(u,meet(v,w)),meet(w,join(x,v))),meet(u,meet(v,w))),
inference(spr,[status(thm),theory(equality)],[2,489]),
[iquote('0:SpR:2.0,489.0')] ).
cnf(1615,plain,
equal(meet(join(meet(u,v),w),meet(v,join(x,u))),join(meet(u,v),meet(w,meet(v,join(x,u))))),
inference(spr,[status(thm),theory(equality)],[592,10]),
[iquote('0:SpR:592.0,10.0')] ).
cnf(2467,plain,
equal(meet(join(u,v),join(join(u,w),v)),join(v,join(u,meet(v,join(u,w))))),
inference(spr,[status(thm),theory(equality)],[121,161]),
[iquote('0:SpR:121.0,161.0')] ).
cnf(2489,plain,
equal(join(u,meet(v,join(u,join(v,w)))),join(u,join(v,meet(u,join(v,w))))),
inference(rew,[status(thm),theory(equality)],[345,2467,133]),
[iquote('0:Rew:345.0,2467.0,133.0,2467.0')] ).
cnf(2490,plain,
equal(join(u,join(v,meet(u,join(v,w)))),join(u,v)),
inference(rew,[status(thm),theory(equality)],[1067,2489]),
[iquote('0:Rew:1067.0,2489.0')] ).
cnf(4581,plain,
equal(join(join(meet(u,v),w),meet(v,u)),join(meet(u,v),w)),
inference(spr,[status(thm),theory(equality)],[285,1543]),
[iquote('0:SpR:285.0,1543.0')] ).
cnf(4623,plain,
equal(join(meet(u,v),join(meet(v,u),w)),join(meet(v,u),w)),
inference(rew,[status(thm),theory(equality)],[150,4581]),
[iquote('0:Rew:150.0,4581.0')] ).
cnf(4812,plain,
equal(meet(join(meet(u,v),meet(w,meet(x,v))),meet(v,join(u,x))),join(meet(u,v),meet(meet(x,v),join(meet(u,v),w)))),
inference(spr,[status(thm),theory(equality)],[35,100]),
[iquote('0:SpR:35.0,100.0')] ).
cnf(4913,plain,
equal(meet(meet(u,join(v,w)),join(meet(x,meet(w,u)),meet(v,u))),meet(join(meet(v,u),x),meet(u,join(v,w)))),
inference(rew,[status(thm),theory(equality)],[592,4812,100]),
[iquote('0:Rew:592.0,4812.0,100.0,4812.0')] ).
cnf(4914,plain,
equal(meet(join(meet(u,v),w),meet(v,join(u,x))),join(meet(u,v),meet(w,meet(x,v)))),
inference(rew,[status(thm),theory(equality)],[1556,4913,922]),
[iquote('0:Rew:1556.0,4913.0,922.0,4913.0')] ).
cnf(4915,plain,
equal(join(meet(u,v),meet(meet(w,v),join(meet(u,v),x))),join(meet(u,v),meet(x,meet(w,v)))),
inference(rew,[status(thm),theory(equality)],[4914,100]),
[iquote('0:Rew:4914.0,100.0')] ).
cnf(5774,plain,
equal(meet(join(meet(u,v),w),join(meet(u,v),meet(w,meet(x,v)))),meet(join(meet(u,v),w),join(meet(u,v),meet(x,v)))),
inference(spr,[status(thm),theory(equality)],[4915,35]),
[iquote('0:SpR:4915.0,35.0')] ).
cnf(6015,plain,
equal(meet(join(meet(u,v),w),meet(v,join(x,u))),join(meet(u,v),meet(w,meet(x,v)))),
inference(rew,[status(thm),theory(equality)],[451,5774,151,2]),
[iquote('0:Rew:451.0,5774.0,151.0,5774.0,2.0,5774.0')] ).
cnf(6016,plain,
equal(join(meet(u,v),meet(w,meet(v,join(x,u)))),join(meet(u,v),meet(w,meet(x,v)))),
inference(rew,[status(thm),theory(equality)],[1615,6015]),
[iquote('0:Rew:1615.0,6015.0')] ).
cnf(6017,plain,
equal(meet(meet(u,join(v,w)),join(x,meet(w,u))),join(meet(w,u),meet(x,meet(v,u)))),
inference(rew,[status(thm),theory(equality)],[6016,10]),
[iquote('0:Rew:6016.0,10.0')] ).
cnf(6085,plain,
equal(join(meet(u,v),meet(u,meet(w,v))),meet(u,meet(v,join(w,u)))),
inference(rew,[status(thm),theory(equality)],[6016,932]),
[iquote('0:Rew:6016.0,932.0')] ).
cnf(7184,plain,
equal(join(meet(u,join(v,u)),meet(w,meet(v,join(v,u)))),meet(join(v,u),join(w,meet(u,join(v,u))))),
inference(spr,[status(thm),theory(equality)],[108,6017]),
[iquote('0:SpR:108.0,6017.0')] ).
cnf(7259,plain,
equal(meet(join(u,v),join(w,v)),join(v,meet(w,u))),
inference(rew,[status(thm),theory(equality)],[1,7184,121]),
[iquote('0:Rew:1.0,7184.0,121.0,7184.0')] ).
cnf(7260,plain,
equal(join(u,meet(v,join(w,u))),join(u,meet(v,w))),
inference(rew,[status(thm),theory(equality)],[133,7259]),
[iquote('0:Rew:133.0,7259.0')] ).
cnf(7266,plain,
equal(join(u,meet(v,join(u,w))),join(u,meet(w,v))),
inference(rew,[status(thm),theory(equality)],[7260,345]),
[iquote('0:Rew:7260.0,345.0')] ).
cnf(7329,plain,
equal(join(u,join(v,meet(w,u))),join(u,v)),
inference(rew,[status(thm),theory(equality)],[7266,2490]),
[iquote('0:Rew:7266.0,2490.0')] ).
cnf(9572,plain,
equal(join(u,join(meet(v,u),w)),join(u,w)),
inference(spr,[status(thm),theory(equality)],[150,7329]),
[iquote('0:SpR:150.0,7329.0')] ).
cnf(10506,plain,
equal(join(meet(u,v),join(meet(v,u),w)),join(meet(u,v),w)),
inference(spr,[status(thm),theory(equality)],[285,9572]),
[iquote('0:SpR:285.0,9572.0')] ).
cnf(10563,plain,
equal(join(meet(u,v),w),join(meet(v,u),w)),
inference(rew,[status(thm),theory(equality)],[4623,10506]),
[iquote('0:Rew:4623.0,10506.0')] ).
cnf(12209,plain,
equal(meet(meet(meet(u,v),w),meet(v,w)),meet(meet(u,v),w)),
inference(spr,[status(thm),theory(equality)],[168,314]),
[iquote('0:SpR:168.0,314.0')] ).
cnf(12336,plain,
equal(meet(meet(u,v),meet(meet(w,u),v)),meet(meet(w,u),v)),
inference(rew,[status(thm),theory(equality)],[292,12209]),
[iquote('0:Rew:292.0,12209.0')] ).
cnf(12454,plain,
equal(join(meet(u,v),meet(u,w)),meet(u,join(w,v))),
inference(spr,[status(thm),theory(equality)],[316,10563]),
[iquote('0:SpR:316.0,10563.0')] ).
cnf(12574,plain,
equal(meet(u,join(meet(v,w),w)),meet(u,meet(w,join(v,u)))),
inference(rew,[status(thm),theory(equality)],[12454,6085]),
[iquote('0:Rew:12454.0,6085.0')] ).
cnf(12601,plain,
equal(meet(u,meet(v,join(w,u))),meet(u,v)),
inference(rew,[status(thm),theory(equality)],[168,12574,150]),
[iquote('0:Rew:168.0,12574.0,150.0,12574.0')] ).
cnf(13463,plain,
equal(meet(meet(u,v),meet(w,v)),meet(meet(u,v),w)),
inference(spr,[status(thm),theory(equality)],[168,12601]),
[iquote('0:SpR:168.0,12601.0')] ).
cnf(13472,plain,
equal(meet(meet(u,v),meet(w,u)),meet(meet(u,v),w)),
inference(spr,[status(thm),theory(equality)],[321,12601]),
[iquote('0:SpR:321.0,12601.0')] ).
cnf(13573,plain,
equal(meet(meet(u,v),meet(w,u)),meet(meet(w,u),v)),
inference(rew,[status(thm),theory(equality)],[13463,12336]),
[iquote('0:Rew:13463.0,12336.0')] ).
cnf(13644,plain,
equal(meet(meet(u,v),w),meet(meet(w,u),v)),
inference(rew,[status(thm),theory(equality)],[13472,13573]),
[iquote('0:Rew:13472.0,13573.0')] ).
cnf(14380,plain,
equal(meet(meet(u,v),w),meet(u,meet(v,w))),
inference(spr,[status(thm),theory(equality)],[13644,292]),
[iquote('0:SpR:13644.0,292.0')] ).
cnf(14398,plain,
equal(meet(meet(u,v),w),meet(meet(v,w),u)),
inference(spr,[status(thm),theory(equality)],[13644]),
[iquote('0:SpR:13644.0,13644.0')] ).
cnf(15291,plain,
equal(meet(u,meet(v,w)),meet(v,meet(w,u))),
inference(rew,[status(thm),theory(equality)],[14380,14398]),
[iquote('0:Rew:14380.0,14398.0,14380.0,14398.0')] ).
cnf(15292,plain,
$false,
inference(unc,[status(thm)],[15291,294]),
[iquote('0:UnC:15291.0,294.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.09 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n015.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Thu Jun 30 04:57:26 EDT 2022
% 0.08/0.29 % CPUTime :
% 9.22/9.44
% 9.22/9.44 SPASS V 3.9
% 9.22/9.44 SPASS beiseite: Proof found.
% 9.22/9.44 % SZS status Theorem
% 9.22/9.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.22/9.44 SPASS derived 11256 clauses, backtracked 0 clauses, performed 0 splits and kept 2745 clauses.
% 9.22/9.44 SPASS allocated 79998 KBytes.
% 9.22/9.44 SPASS spent 0:00:09.14 on the problem.
% 9.22/9.44 0:00:00.03 for the input.
% 9.22/9.44 0:00:00.00 for the FLOTTER CNF translation.
% 9.22/9.44 0:00:00.13 for inferences.
% 9.22/9.44 0:00:00.00 for the backtracking.
% 9.22/9.44 0:00:08.95 for the reduction.
% 9.22/9.44
% 9.22/9.44
% 9.22/9.44 Here is a proof with depth 12, length 95 :
% 9.22/9.44 % SZS output start Refutation
% See solution above
% 9.31/9.51 Formulae used in the proof : absorption distribution prove_associativity_of_meet
% 9.31/9.51
%------------------------------------------------------------------------------