TSTP Solution File: REL011+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : REL011+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 20:01:37 EDT 2022
% Result : Theorem 0.46s 0.71s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 15
% Syntax : Number of clauses : 115 ( 115 unt; 0 nHn; 115 RR)
% Number of literals : 115 ( 0 equ; 2 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 : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(composition(u,one),u),
file('REL011+2.p',unknown),
[] ).
cnf(2,axiom,
equal(converse(converse(u)),u),
file('REL011+2.p',unknown),
[] ).
cnf(3,axiom,
equal(join(u,complement(u)),top),
file('REL011+2.p',unknown),
[] ).
cnf(4,axiom,
equal(meet(u,complement(u)),zero),
file('REL011+2.p',unknown),
[] ).
cnf(5,axiom,
equal(join(u,v),join(v,u)),
file('REL011+2.p',unknown),
[] ).
cnf(6,axiom,
equal(meet(skc3,composition(converse(skc4),skc5)),zero),
file('REL011+2.p',unknown),
[] ).
cnf(7,axiom,
~ equal(meet(composition(skc4,skc3),skc5),zero),
file('REL011+2.p',unknown),
[] ).
cnf(8,axiom,
equal(complement(join(complement(u),complement(v))),meet(u,v)),
file('REL011+2.p',unknown),
[] ).
cnf(9,axiom,
equal(join(converse(u),converse(v)),converse(join(u,v))),
file('REL011+2.p',unknown),
[] ).
cnf(10,axiom,
equal(composition(converse(u),converse(v)),converse(composition(v,u))),
file('REL011+2.p',unknown),
[] ).
cnf(11,axiom,
equal(join(join(u,v),w),join(u,join(v,w))),
file('REL011+2.p',unknown),
[] ).
cnf(13,axiom,
equal(join(composition(u,v),composition(w,v)),composition(join(u,w),v)),
file('REL011+2.p',unknown),
[] ).
cnf(14,axiom,
equal(join(composition(converse(u),complement(composition(u,v))),complement(v)),complement(v)),
file('REL011+2.p',unknown),
[] ).
cnf(15,axiom,
equal(join(complement(join(complement(u),complement(v))),complement(join(complement(u),v))),u),
file('REL011+2.p',unknown),
[] ).
cnf(18,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('REL011+2.p',unknown),
[] ).
cnf(19,plain,
equal(join(complement(u),composition(converse(v),complement(composition(v,u)))),complement(u)),
inference(rew,[status(thm),theory(equality)],[5,14]),
[iquote('0:Rew:5.0,14.0')] ).
cnf(20,plain,
equal(join(meet(u,v),complement(join(complement(u),v))),u),
inference(rew,[status(thm),theory(equality)],[8,15]),
[iquote('0:Rew:8.0,15.0')] ).
cnf(32,plain,
equal(converse(composition(converse(u),v)),composition(converse(v),u)),
inference(spr,[status(thm),theory(equality)],[2,10]),
[iquote('0:SpR:2.0,10.0')] ).
cnf(37,plain,
equal(converse(join(u,converse(v))),join(converse(u),v)),
inference(spr,[status(thm),theory(equality)],[2,9]),
[iquote('0:SpR:2.0,9.0')] ).
cnf(38,plain,
equal(converse(join(converse(u),v)),join(u,converse(v))),
inference(spr,[status(thm),theory(equality)],[2,9]),
[iquote('0:SpR:2.0,9.0')] ).
cnf(46,plain,
equal(meet(u,complement(u)),complement(top)),
inference(spr,[status(thm),theory(equality)],[3,8]),
[iquote('0:SpR:3.0,8.0')] ).
cnf(47,plain,
equal(complement(join(complement(u),complement(v))),meet(v,u)),
inference(spr,[status(thm),theory(equality)],[5,8]),
[iquote('0:SpR:5.0,8.0')] ).
cnf(49,plain,
equal(complement(top),zero),
inference(rew,[status(thm),theory(equality)],[4,46]),
[iquote('0:Rew:4.0,46.0')] ).
cnf(50,plain,
equal(meet(u,v),meet(v,u)),
inference(rew,[status(thm),theory(equality)],[8,47]),
[iquote('0:Rew:8.0,47.0')] ).
cnf(51,plain,
~ equal(meet(skc5,composition(skc4,skc3)),zero),
inference(rew,[status(thm),theory(equality)],[50,7]),
[iquote('0:Rew:50.0,7.0')] ).
cnf(59,plain,
equal(meet(top,zero),zero),
inference(spr,[status(thm),theory(equality)],[49,4]),
[iquote('0:SpR:49.0,4.0')] ).
cnf(61,plain,
equal(complement(join(zero,complement(u))),meet(top,u)),
inference(spr,[status(thm),theory(equality)],[49,8]),
[iquote('0:SpR:49.0,8.0')] ).
cnf(64,plain,
equal(meet(zero,top),zero),
inference(rew,[status(thm),theory(equality)],[50,59]),
[iquote('0:Rew:50.0,59.0')] ).
cnf(74,plain,
equal(meet(join(zero,complement(u)),meet(top,u)),zero),
inference(spr,[status(thm),theory(equality)],[61,4]),
[iquote('0:SpR:61.0,4.0')] ).
cnf(81,plain,
equal(complement(join(zero,zero)),meet(top,top)),
inference(spr,[status(thm),theory(equality)],[49,61]),
[iquote('0:SpR:49.0,61.0')] ).
cnf(84,plain,
equal(meet(meet(top,u),join(zero,complement(u))),zero),
inference(rew,[status(thm),theory(equality)],[50,74]),
[iquote('0:Rew:50.0,74.0')] ).
cnf(88,plain,
equal(meet(join(zero,zero),meet(top,top)),zero),
inference(spr,[status(thm),theory(equality)],[81,4]),
[iquote('0:SpR:81.0,4.0')] ).
cnf(96,plain,
equal(meet(meet(top,top),join(zero,zero)),zero),
inference(rew,[status(thm),theory(equality)],[50,88]),
[iquote('0:Rew:50.0,88.0')] ).
cnf(116,plain,
equal(join(meet(top,u),complement(join(zero,u))),top),
inference(spr,[status(thm),theory(equality)],[49,20]),
[iquote('0:SpR:49.0,20.0')] ).
cnf(120,plain,
equal(join(meet(u,complement(v)),meet(u,v)),u),
inference(spr,[status(thm),theory(equality)],[8,20]),
[iquote('0:SpR:8.0,20.0')] ).
cnf(121,plain,
equal(join(zero,complement(join(complement(u),complement(u)))),u),
inference(spr,[status(thm),theory(equality)],[4,20]),
[iquote('0:SpR:4.0,20.0')] ).
cnf(124,plain,
equal(join(zero,complement(join(complement(zero),top))),zero),
inference(spr,[status(thm),theory(equality)],[64,20]),
[iquote('0:SpR:64.0,20.0')] ).
cnf(126,plain,
equal(join(zero,complement(join(complement(meet(top,top)),join(zero,zero)))),meet(top,top)),
inference(spr,[status(thm),theory(equality)],[96,20]),
[iquote('0:SpR:96.0,20.0')] ).
cnf(127,plain,
equal(join(zero,complement(join(top,complement(zero)))),zero),
inference(rew,[status(thm),theory(equality)],[5,124]),
[iquote('0:Rew:5.0,124.0')] ).
cnf(129,plain,
equal(join(meet(u,v),meet(u,complement(v))),u),
inference(rew,[status(thm),theory(equality)],[5,120]),
[iquote('0:Rew:5.0,120.0')] ).
cnf(130,plain,
equal(join(zero,meet(u,u)),u),
inference(rew,[status(thm),theory(equality)],[8,121]),
[iquote('0:Rew:8.0,121.0')] ).
cnf(133,plain,
equal(join(zero,complement(join(join(zero,zero),complement(meet(top,top))))),meet(top,top)),
inference(rew,[status(thm),theory(equality)],[5,126]),
[iquote('0:Rew:5.0,126.0')] ).
cnf(134,plain,
equal(join(zero,complement(join(zero,join(zero,complement(meet(top,top)))))),meet(top,top)),
inference(rew,[status(thm),theory(equality)],[11,133]),
[iquote('0:Rew:11.0,133.0')] ).
cnf(209,plain,
equal(join(u,join(v,complement(join(u,v)))),top),
inference(spr,[status(thm),theory(equality)],[11,3]),
[iquote('0:SpR:11.0,3.0')] ).
cnf(210,plain,
equal(join(u,join(v,w)),join(w,join(u,v))),
inference(spr,[status(thm),theory(equality)],[11,5]),
[iquote('0:SpR:11.0,5.0')] ).
cnf(216,plain,
equal(join(u,join(complement(u),v)),join(top,v)),
inference(spr,[status(thm),theory(equality)],[3,11]),
[iquote('0:SpR:3.0,11.0')] ).
cnf(221,plain,
equal(join(zero,join(complement(join(top,complement(zero))),u)),join(zero,u)),
inference(spr,[status(thm),theory(equality)],[127,11]),
[iquote('0:SpR:127.0,11.0')] ).
cnf(280,plain,
equal(join(zero,composition(converse(u),complement(composition(u,top)))),zero),
inference(spr,[status(thm),theory(equality)],[49,19]),
[iquote('0:SpR:49.0,19.0')] ).
cnf(302,plain,
equal(meet(meet(u,top),join(zero,complement(u))),zero),
inference(spr,[status(thm),theory(equality)],[50,84]),
[iquote('0:SpR:50.0,84.0')] ).
cnf(405,plain,
equal(join(zero,complement(join(complement(meet(u,top)),join(zero,complement(u))))),meet(u,top)),
inference(spr,[status(thm),theory(equality)],[302,20]),
[iquote('0:SpR:302.0,20.0')] ).
cnf(428,plain,
equal(join(zero,complement(join(zero,join(complement(u),complement(meet(u,top)))))),meet(u,top)),
inference(rew,[status(thm),theory(equality)],[210,405]),
[iquote('0:Rew:210.0,405.0')] ).
cnf(616,plain,
equal(join(meet(composition(skc4,skc3),skc5),composition(meet(skc4,composition(skc5,converse(skc3))),zero)),composition(meet(skc4,composition(skc5,converse(skc3))),zero)),
inference(spr,[status(thm),theory(equality)],[6,18]),
[iquote('0:SpR:6.0,18.0')] ).
cnf(632,plain,
equal(join(meet(skc5,composition(skc4,skc3)),composition(meet(skc4,composition(skc5,converse(skc3))),zero)),composition(meet(skc4,composition(skc5,converse(skc3))),zero)),
inference(rew,[status(thm),theory(equality)],[50,616]),
[iquote('0:Rew:50.0,616.0')] ).
cnf(653,plain,
equal(composition(converse(one),u),converse(converse(u))),
inference(spr,[status(thm),theory(equality)],[1,32]),
[iquote('0:SpR:1.0,32.0')] ).
cnf(656,plain,
equal(composition(converse(one),u),u),
inference(rew,[status(thm),theory(equality)],[2,653]),
[iquote('0:Rew:2.0,653.0')] ).
cnf(667,plain,
equal(converse(one),one),
inference(spr,[status(thm),theory(equality)],[656,1]),
[iquote('0:SpR:656.0,1.0')] ).
cnf(678,plain,
equal(join(complement(u),complement(composition(one,u))),complement(u)),
inference(spr,[status(thm),theory(equality)],[656,19]),
[iquote('0:SpR:656.0,19.0')] ).
cnf(685,plain,
equal(composition(one,u),u),
inference(rew,[status(thm),theory(equality)],[667,656]),
[iquote('0:Rew:667.0,656.0')] ).
cnf(700,plain,
equal(join(complement(u),complement(u)),complement(u)),
inference(rew,[status(thm),theory(equality)],[685,678]),
[iquote('0:Rew:685.0,678.0')] ).
cnf(811,plain,
equal(meet(u,u),complement(complement(u))),
inference(spr,[status(thm),theory(equality)],[700,8]),
[iquote('0:SpR:700.0,8.0')] ).
cnf(817,plain,
equal(join(zero,zero),zero),
inference(spr,[status(thm),theory(equality)],[49,700]),
[iquote('0:SpR:49.0,700.0')] ).
cnf(822,plain,
equal(meet(top,top),complement(zero)),
inference(rew,[status(thm),theory(equality)],[817,81]),
[iquote('0:Rew:817.0,81.0')] ).
cnf(836,plain,
equal(join(zero,complement(join(zero,join(zero,complement(complement(zero)))))),complement(zero)),
inference(rew,[status(thm),theory(equality)],[822,134]),
[iquote('0:Rew:822.0,134.0')] ).
cnf(839,plain,
equal(join(zero,complement(complement(u))),u),
inference(rew,[status(thm),theory(equality)],[811,130]),
[iquote('0:Rew:811.0,130.0')] ).
cnf(866,plain,
equal(join(zero,complement(zero)),complement(zero)),
inference(rew,[status(thm),theory(equality)],[817,836,839]),
[iquote('0:Rew:817.0,836.0,839.0,836.0')] ).
cnf(867,plain,
equal(complement(zero),top),
inference(rew,[status(thm),theory(equality)],[3,866]),
[iquote('0:Rew:3.0,866.0')] ).
cnf(875,plain,
equal(join(zero,join(complement(join(top,top)),u)),join(zero,u)),
inference(rew,[status(thm),theory(equality)],[867,221]),
[iquote('0:Rew:867.0,221.0')] ).
cnf(897,plain,
equal(complement(join(top,complement(u))),meet(zero,u)),
inference(spr,[status(thm),theory(equality)],[867,8]),
[iquote('0:SpR:867.0,8.0')] ).
cnf(906,plain,
equal(join(top,top),top),
inference(spr,[status(thm),theory(equality)],[867,700]),
[iquote('0:SpR:867.0,700.0')] ).
cnf(916,plain,
equal(join(zero,join(complement(top),u)),join(zero,u)),
inference(rew,[status(thm),theory(equality)],[906,875]),
[iquote('0:Rew:906.0,875.0')] ).
cnf(940,plain,
equal(join(zero,join(zero,u)),join(zero,u)),
inference(rew,[status(thm),theory(equality)],[49,916]),
[iquote('0:Rew:49.0,916.0')] ).
cnf(961,plain,
equal(join(top,join(top,u)),join(top,u)),
inference(spr,[status(thm),theory(equality)],[906,11]),
[iquote('0:SpR:906.0,11.0')] ).
cnf(970,plain,
equal(meet(top,complement(u)),complement(u)),
inference(spr,[status(thm),theory(equality)],[839,61]),
[iquote('0:SpR:839.0,61.0')] ).
cnf(976,plain,
equal(join(zero,complement(meet(u,v))),join(complement(u),complement(v))),
inference(spr,[status(thm),theory(equality)],[8,839]),
[iquote('0:SpR:8.0,839.0')] ).
cnf(999,plain,
equal(join(complement(u),complement(join(zero,complement(u)))),top),
inference(spr,[status(thm),theory(equality)],[970,116]),
[iquote('0:SpR:970.0,116.0')] ).
cnf(1012,plain,
equal(join(complement(u),meet(top,u)),top),
inference(rew,[status(thm),theory(equality)],[61,999]),
[iquote('0:Rew:61.0,999.0')] ).
cnf(1056,plain,
equal(join(complement(u),meet(u,top)),top),
inference(spr,[status(thm),theory(equality)],[50,1012]),
[iquote('0:SpR:50.0,1012.0')] ).
cnf(1077,plain,
equal(join(meet(u,meet(u,top)),complement(top)),u),
inference(spr,[status(thm),theory(equality)],[1056,20]),
[iquote('0:SpR:1056.0,20.0')] ).
cnf(1091,plain,
equal(join(zero,meet(u,meet(u,top))),u),
inference(rew,[status(thm),theory(equality)],[5,1077,49]),
[iquote('0:Rew:5.0,1077.0,49.0,1077.0')] ).
cnf(1179,plain,
equal(meet(top,join(top,complement(u))),complement(join(zero,meet(zero,u)))),
inference(spr,[status(thm),theory(equality)],[897,61]),
[iquote('0:SpR:897.0,61.0')] ).
cnf(1194,plain,
equal(meet(zero,join(zero,complement(u))),complement(join(top,meet(top,u)))),
inference(spr,[status(thm),theory(equality)],[61,897]),
[iquote('0:SpR:61.0,897.0')] ).
cnf(1225,plain,
equal(join(zero,u),u),
inference(spr,[status(thm),theory(equality)],[839,940]),
[iquote('0:SpR:839.0,940.0')] ).
cnf(1233,plain,
equal(complement(complement(u)),u),
inference(rew,[status(thm),theory(equality)],[1225,839]),
[iquote('0:Rew:1225.0,839.0')] ).
cnf(1234,plain,
equal(meet(top,u),complement(complement(u))),
inference(rew,[status(thm),theory(equality)],[1225,61]),
[iquote('0:Rew:1225.0,61.0')] ).
cnf(1237,plain,
equal(composition(converse(u),complement(composition(u,top))),zero),
inference(rew,[status(thm),theory(equality)],[1225,280]),
[iquote('0:Rew:1225.0,280.0')] ).
cnf(1240,plain,
equal(join(zero,complement(join(complement(u),complement(meet(u,top))))),meet(u,top)),
inference(rew,[status(thm),theory(equality)],[1225,428]),
[iquote('0:Rew:1225.0,428.0')] ).
cnf(1245,plain,
equal(meet(u,meet(u,top)),u),
inference(rew,[status(thm),theory(equality)],[1225,1091]),
[iquote('0:Rew:1225.0,1091.0')] ).
cnf(1249,plain,
equal(meet(top,join(top,complement(u))),complement(meet(zero,u))),
inference(rew,[status(thm),theory(equality)],[1225,1179]),
[iquote('0:Rew:1225.0,1179.0')] ).
cnf(1251,plain,
equal(join(complement(u),complement(v)),complement(meet(u,v))),
inference(rew,[status(thm),theory(equality)],[1225,976]),
[iquote('0:Rew:1225.0,976.0')] ).
cnf(1258,plain,
equal(complement(join(top,meet(top,u))),meet(zero,complement(u))),
inference(rew,[status(thm),theory(equality)],[1225,1194]),
[iquote('0:Rew:1225.0,1194.0')] ).
cnf(1270,plain,
equal(meet(top,u),u),
inference(rew,[status(thm),theory(equality)],[1233,1234]),
[iquote('0:Rew:1233.0,1234.0')] ).
cnf(1298,plain,
equal(join(top,complement(u)),complement(meet(zero,u))),
inference(rew,[status(thm),theory(equality)],[1270,1249]),
[iquote('0:Rew:1270.0,1249.0')] ).
cnf(1307,plain,
equal(meet(zero,complement(u)),complement(join(top,u))),
inference(rew,[status(thm),theory(equality)],[1270,1258]),
[iquote('0:Rew:1270.0,1258.0')] ).
cnf(1324,plain,
equal(meet(u,top),u),
inference(rew,[status(thm),theory(equality)],[1225,1240,1233,1245,1251]),
[iquote('0:Rew:1225.0,1240.0,1233.0,1240.0,1245.0,1240.0,1251.0,1240.0')] ).
cnf(1499,plain,
equal(join(u,converse(complement(converse(u)))),converse(top)),
inference(spr,[status(thm),theory(equality)],[3,38]),
[iquote('0:SpR:3.0,38.0')] ).
cnf(1621,plain,
equal(join(u,complement(meet(zero,join(u,top)))),top),
inference(spr,[status(thm),theory(equality)],[1298,209]),
[iquote('0:SpR:1298.0,209.0')] ).
cnf(1831,plain,
equal(join(top,converse(top)),converse(top)),
inference(spr,[status(thm),theory(equality)],[1499,961]),
[iquote('0:SpR:1499.0,961.0')] ).
cnf(1867,plain,
equal(join(converse(top),top),converse(converse(top))),
inference(spr,[status(thm),theory(equality)],[1831,37]),
[iquote('0:SpR:1831.0,37.0')] ).
cnf(1870,plain,
equal(converse(top),top),
inference(rew,[status(thm),theory(equality)],[1831,1867,5,2]),
[iquote('0:Rew:1831.0,1867.0,5.0,1867.0,2.0,1867.0')] ).
cnf(1899,plain,
equal(join(u,meet(u,complement(top))),u),
inference(spr,[status(thm),theory(equality)],[1324,129]),
[iquote('0:SpR:1324.0,129.0')] ).
cnf(1908,plain,
equal(join(u,meet(u,zero)),u),
inference(rew,[status(thm),theory(equality)],[49,1899]),
[iquote('0:Rew:49.0,1899.0')] ).
cnf(1931,plain,
equal(composition(top,complement(composition(top,top))),zero),
inference(spr,[status(thm),theory(equality)],[1870,1237]),
[iquote('0:SpR:1870.0,1237.0')] ).
cnf(1960,plain,
equal(join(u,complement(u)),join(top,meet(complement(u),zero))),
inference(spr,[status(thm),theory(equality)],[1908,216]),
[iquote('0:SpR:1908.0,216.0')] ).
cnf(1970,plain,
equal(complement(meet(zero,join(top,u))),top),
inference(rew,[status(thm),theory(equality)],[3,1960,1298,1307,50]),
[iquote('0:Rew:3.0,1960.0,1298.0,1960.0,1307.0,1960.0,50.0,1960.0')] ).
cnf(2085,plain,
equal(join(composition(u,complement(composition(top,top))),zero),composition(join(u,top),complement(composition(top,top)))),
inference(spr,[status(thm),theory(equality)],[1931,13]),
[iquote('0:SpR:1931.0,13.0')] ).
cnf(2089,plain,
equal(composition(join(u,top),complement(composition(top,top))),composition(u,complement(composition(top,top)))),
inference(rew,[status(thm),theory(equality)],[1225,2085,5]),
[iquote('0:Rew:1225.0,2085.0,5.0,2085.0')] ).
cnf(2208,plain,
equal(complement(meet(zero,join(u,top))),top),
inference(spr,[status(thm),theory(equality)],[5,1970]),
[iquote('0:SpR:5.0,1970.0')] ).
cnf(2231,plain,
equal(join(u,top),top),
inference(rew,[status(thm),theory(equality)],[2208,1621]),
[iquote('0:Rew:2208.0,1621.0')] ).
cnf(2249,plain,
equal(composition(top,complement(composition(top,top))),composition(u,complement(composition(top,top)))),
inference(rew,[status(thm),theory(equality)],[2231,2089]),
[iquote('0:Rew:2231.0,2089.0')] ).
cnf(2271,plain,
equal(composition(u,complement(composition(top,top))),zero),
inference(rew,[status(thm),theory(equality)],[1931,2249]),
[iquote('0:Rew:1931.0,2249.0')] ).
cnf(2472,plain,
equal(complement(composition(top,top)),zero),
inference(spr,[status(thm),theory(equality)],[2271,685]),
[iquote('0:SpR:2271.0,685.0')] ).
cnf(2473,plain,
equal(composition(u,zero),zero),
inference(rew,[status(thm),theory(equality)],[2472,2271]),
[iquote('0:Rew:2472.0,2271.0')] ).
cnf(2521,plain,
equal(join(meet(skc5,composition(skc4,skc3)),zero),zero),
inference(rew,[status(thm),theory(equality)],[2473,632]),
[iquote('0:Rew:2473.0,632.0')] ).
cnf(2557,plain,
equal(meet(skc5,composition(skc4,skc3)),zero),
inference(rew,[status(thm),theory(equality)],[1225,2521,5]),
[iquote('0:Rew:1225.0,2521.0,5.0,2521.0')] ).
cnf(2558,plain,
$false,
inference(mrr,[status(thm)],[2557,51]),
[iquote('0:MRR:2557.0,51.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL011+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 07:49:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.71
% 0.46/0.71 SPASS V 3.9
% 0.46/0.71 SPASS beiseite: Proof found.
% 0.46/0.71 % SZS status Theorem
% 0.46/0.71 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71 SPASS derived 1679 clauses, backtracked 0 clauses, performed 0 splits and kept 593 clauses.
% 0.46/0.71 SPASS allocated 88402 KBytes.
% 0.46/0.71 SPASS spent 0:00:00.37 on the problem.
% 0.46/0.71 0:00:00.03 for the input.
% 0.46/0.71 0:00:00.03 for the FLOTTER CNF translation.
% 0.46/0.71 0:00:00.02 for inferences.
% 0.46/0.71 0:00:00.00 for the backtracking.
% 0.46/0.71 0:00:00.27 for the reduction.
% 0.46/0.71
% 0.46/0.71
% 0.46/0.71 Here is a proof with depth 12, length 115 :
% 0.46/0.71 % SZS output start Refutation
% See solution above
% 0.55/0.73 Formulae used in the proof : composition_identity converse_idempotence def_top def_zero maddux1_join_commutativity goals maddux4_definiton_of_meet converse_additivity converse_multiplicativity maddux2_join_associativity composition_distributivity converse_cancellativity maddux3_a_kind_of_de_Morgan dedekind_law
% 0.55/0.73
%------------------------------------------------------------------------------