TSTP Solution File: LAT313+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:50:37 EDT 2022
% Result : Theorem 0.43s 0.61s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 27
% Syntax : Number of clauses : 82 ( 24 unt; 34 nHn; 82 RR)
% Number of literals : 245 ( 0 equ; 141 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc9),
file('LAT313+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc9),
file('LAT313+1.p',unknown),
[] ).
cnf(3,axiom,
v14_lattices(skc9),
file('LAT313+1.p',unknown),
[] ).
cnf(11,axiom,
m2_filter_2(skc10,skc9),
file('LAT313+1.p',unknown),
[] ).
cnf(12,axiom,
~ v3_struct_0(skc9),
file('LAT313+1.p',unknown),
[] ).
cnf(16,axiom,
r1_tarski(u,u),
file('LAT313+1.p',unknown),
[] ).
cnf(17,axiom,
r2_hidden(k6_lattices(skc9),skc10),
file('LAT313+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ r1_tarski(u,v)
| m1_subset_1(u,k1_zfmisc_1(v)) ),
file('LAT313+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ r1_filter_2(u1_struct_0(skc9),skc10,k17_filter_2(skc9))
| ~ equal(u1_struct_0(skc9),skc10) ),
file('LAT313+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| m2_filter_2(k17_filter_2(u),u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| v3_struct_0(u)
| equal(u1_struct_0(u),k17_filter_2(u)) ),
file('LAT313+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v1_xboole_0(v)
| ~ m2_filter_2(v,u)
| v3_struct_0(u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| m2_lattice4(v,u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u))) ),
file('LAT313+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| r1_filter_2(u1_struct_0(u),k19_filter_2(u,v),v) ),
file('LAT313+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ equal(u,v)
| ~ m1_subset_1(v,k1_zfmisc_1(w))
| ~ m1_subset_1(u,k1_zfmisc_1(w))
| v1_xboole_0(w)
| r1_filter_2(w,u,v) ),
file('LAT313+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(v))
| ~ r1_filter_2(v,w,u)
| v1_xboole_0(v)
| equal(w,u) ),
file('LAT313+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v14_lattices(u)
| ~ r2_hidden(k6_lattices(u),v)
| ~ m1_subset_1(v,k1_zfmisc_1(u1_struct_0(u)))
| equal(k19_filter_2(u,v),u1_struct_0(u))
| v3_struct_0(u)
| v1_xboole_0(v) ),
file('LAT313+1.p',unknown),
[] ).
cnf(67,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| v3_struct_0(u)
| m1_subset_1(v,k1_zfmisc_1(k17_filter_2(u))) ),
inference(rew,[status(thm),theory(equality)],[55,58]),
[iquote('0:Rew:55.3,58.4')] ).
cnf(68,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_filter_2(v,u)
| v3_struct_0(u)
| r1_filter_2(k17_filter_2(u),k19_filter_2(u,v),v) ),
inference(rew,[status(thm),theory(equality)],[55,59]),
[iquote('0:Rew:55.3,59.4')] ).
cnf(70,plain,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ v14_lattices(u)
| ~ r2_hidden(k6_lattices(u),v)
| ~ m1_subset_1(v,k1_zfmisc_1(k17_filter_2(u)))
| equal(k19_filter_2(u,v),k17_filter_2(u))
| v3_struct_0(u)
| v1_xboole_0(v) ),
inference(rew,[status(thm),theory(equality)],[55,65]),
[iquote('0:Rew:55.3,65.5,55.3,65.4')] ).
cnf(71,plain,
( ~ v14_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,k1_zfmisc_1(k17_filter_2(u)))
| ~ r2_hidden(k6_lattices(u),v)
| v3_struct_0(u)
| equal(k19_filter_2(u,v),k17_filter_2(u)) ),
inference(mrr,[status(thm)],[70,32]),
[iquote('0:MRR:70.7,32.0')] ).
cnf(81,plain,
( ~ v10_lattices(skc9)
| ~ m2_lattice4(u,skc9)
| v3_struct_0(skc9)
| m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc9))) ),
inference(res,[status(thm),theory(equality)],[2,67]),
[iquote('0:Res:2.0,67.1')] ).
cnf(83,plain,
( ~ v10_lattices(skc9)
| v3_struct_0(skc9)
| equal(u1_struct_0(skc9),k17_filter_2(skc9)) ),
inference(res,[status(thm),theory(equality)],[2,55]),
[iquote('0:Res:2.0,55.1')] ).
cnf(84,plain,
( ~ v10_lattices(skc9)
| v3_struct_0(skc9)
| m2_filter_2(k17_filter_2(skc9),skc9) ),
inference(res,[status(thm),theory(equality)],[2,49]),
[iquote('0:Res:2.0,49.1')] ).
cnf(88,plain,
( ~ v10_lattices(skc9)
| v4_lattices(skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.0,40.0')] ).
cnf(89,plain,
( ~ v10_lattices(skc9)
| v5_lattices(skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[2,41]),
[iquote('0:Res:2.0,41.0')] ).
cnf(90,plain,
( ~ v10_lattices(skc9)
| v6_lattices(skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[2,42]),
[iquote('0:Res:2.0,42.0')] ).
cnf(91,plain,
( ~ v10_lattices(skc9)
| v7_lattices(skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[2,43]),
[iquote('0:Res:2.0,43.0')] ).
cnf(92,plain,
( ~ v10_lattices(skc9)
| v8_lattices(skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[2,44]),
[iquote('0:Res:2.0,44.0')] ).
cnf(93,plain,
( ~ v10_lattices(skc9)
| v9_lattices(skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[2,45]),
[iquote('0:Res:2.0,45.0')] ).
cnf(94,plain,
l1_lattices(skc9),
inference(res,[status(thm),theory(equality)],[2,24]),
[iquote('0:Res:2.0,24.0')] ).
cnf(95,plain,
l2_lattices(skc9),
inference(res,[status(thm),theory(equality)],[2,25]),
[iquote('0:Res:2.0,25.0')] ).
cnf(96,plain,
( ~ v1_xboole_0(u)
| ~ v10_lattices(skc9)
| ~ m2_filter_2(u,skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[2,56]),
[iquote('0:Res:2.0,56.2')] ).
cnf(137,plain,
( ~ v10_lattices(skc9)
| ~ l3_lattices(skc9)
| v3_struct_0(skc9)
| r1_filter_2(k17_filter_2(skc9),k19_filter_2(skc9,skc10),skc10) ),
inference(res,[status(thm),theory(equality)],[11,68]),
[iquote('0:Res:11.0,68.2')] ).
cnf(138,plain,
( ~ v10_lattices(skc9)
| ~ l3_lattices(skc9)
| m2_lattice4(skc10,skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[11,57]),
[iquote('0:Res:11.0,57.2')] ).
cnf(140,plain,
v4_lattices(skc9),
inference(mrr,[status(thm)],[88,1,12]),
[iquote('0:MRR:88.0,88.2,1.0,12.0')] ).
cnf(141,plain,
v5_lattices(skc9),
inference(mrr,[status(thm)],[89,1,12]),
[iquote('0:MRR:89.0,89.2,1.0,12.0')] ).
cnf(142,plain,
v6_lattices(skc9),
inference(mrr,[status(thm)],[90,1,12]),
[iquote('0:MRR:90.0,90.2,1.0,12.0')] ).
cnf(143,plain,
v7_lattices(skc9),
inference(mrr,[status(thm)],[91,1,12]),
[iquote('0:MRR:91.0,91.2,1.0,12.0')] ).
cnf(144,plain,
v8_lattices(skc9),
inference(mrr,[status(thm)],[92,1,12]),
[iquote('0:MRR:92.0,92.2,1.0,12.0')] ).
cnf(145,plain,
v9_lattices(skc9),
inference(mrr,[status(thm)],[93,1,12]),
[iquote('0:MRR:93.0,93.2,1.0,12.0')] ).
cnf(147,plain,
m2_filter_2(k17_filter_2(skc9),skc9),
inference(mrr,[status(thm)],[84,1,12]),
[iquote('0:MRR:84.0,84.1,1.0,12.0')] ).
cnf(151,plain,
equal(u1_struct_0(skc9),k17_filter_2(skc9)),
inference(mrr,[status(thm)],[83,1,12]),
[iquote('0:MRR:83.0,83.1,1.0,12.0')] ).
cnf(152,plain,
( ~ r1_filter_2(k17_filter_2(skc9),skc10,k17_filter_2(skc9))
| ~ equal(u1_struct_0(skc9),skc10) ),
inference(rew,[status(thm),theory(equality)],[151,48]),
[iquote('0:Rew:151.0,48.0')] ).
cnf(155,plain,
m2_lattice4(skc10,skc9),
inference(mrr,[status(thm)],[138,1,2,12]),
[iquote('0:MRR:138.0,138.1,138.3,1.0,2.0,12.0')] ).
cnf(158,plain,
( ~ v1_xboole_0(u)
| ~ m2_filter_2(u,skc9) ),
inference(mrr,[status(thm)],[96,1,12]),
[iquote('0:MRR:96.1,96.3,1.0,12.0')] ).
cnf(159,plain,
( ~ equal(k17_filter_2(skc9),skc10)
| ~ r1_filter_2(k17_filter_2(skc9),skc10,k17_filter_2(skc9)) ),
inference(rew,[status(thm),theory(equality)],[151,152]),
[iquote('0:Rew:151.0,152.1')] ).
cnf(160,plain,
( ~ m2_lattice4(u,skc9)
| m1_subset_1(u,k1_zfmisc_1(k17_filter_2(skc9))) ),
inference(mrr,[status(thm)],[81,1,12]),
[iquote('0:MRR:81.0,81.2,1.0,12.0')] ).
cnf(161,plain,
r1_filter_2(k17_filter_2(skc9),k19_filter_2(skc9,skc10),skc10),
inference(mrr,[status(thm)],[137,1,2,12]),
[iquote('0:MRR:137.0,137.1,137.2,1.0,2.0,12.0')] ).
cnf(185,plain,
~ v1_xboole_0(k17_filter_2(skc9)),
inference(res,[status(thm),theory(equality)],[147,158]),
[iquote('0:Res:147.0,158.1')] ).
cnf(401,plain,
( ~ equal(k17_filter_2(skc9),skc10)
| ~ m1_subset_1(k17_filter_2(skc9),k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ equal(k17_filter_2(skc9),skc10)
| v1_xboole_0(k17_filter_2(skc9)) ),
inference(res,[status(thm),theory(equality)],[60,159]),
[iquote('0:Res:60.4,159.1')] ).
cnf(402,plain,
( ~ m1_subset_1(k17_filter_2(skc9),k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ equal(k17_filter_2(skc9),skc10)
| v1_xboole_0(k17_filter_2(skc9)) ),
inference(obv,[status(thm),theory(equality)],[401]),
[iquote('0:Obv:401.0')] ).
cnf(403,plain,
( ~ m1_subset_1(k17_filter_2(skc9),k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ equal(k17_filter_2(skc9),skc10) ),
inference(mrr,[status(thm)],[402,185]),
[iquote('0:MRR:402.3,185.0')] ).
cnf(414,plain,
( ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(k19_filter_2(skc9,skc10),k1_zfmisc_1(k17_filter_2(skc9)))
| v1_xboole_0(k17_filter_2(skc9))
| equal(k19_filter_2(skc9,skc10),skc10) ),
inference(res,[status(thm),theory(equality)],[161,61]),
[iquote('0:Res:161.0,61.2')] ).
cnf(419,plain,
( ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(k19_filter_2(skc9,skc10),k1_zfmisc_1(k17_filter_2(skc9)))
| equal(k19_filter_2(skc9,skc10),skc10) ),
inference(mrr,[status(thm)],[414,185]),
[iquote('0:MRR:414.2,185.0')] ).
cnf(516,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ v14_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| ~ r2_hidden(k6_lattices(u),v)
| v3_struct_0(u)
| v3_struct_0(u)
| equal(k19_filter_2(u,v),k17_filter_2(u)) ),
inference(res,[status(thm),theory(equality)],[67,71]),
[iquote('0:Res:67.4,71.3')] ).
cnf(522,plain,
( ~ v14_lattices(u)
| ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m2_lattice4(v,u)
| ~ r2_hidden(k6_lattices(u),v)
| v3_struct_0(u)
| equal(k19_filter_2(u,v),k17_filter_2(u)) ),
inference(obv,[status(thm),theory(equality)],[516]),
[iquote('0:Obv:516.7')] ).
cnf(964,plain,
( ~ r1_tarski(k17_filter_2(skc9),k17_filter_2(skc9))
| ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ equal(k17_filter_2(skc9),skc10) ),
inference(res,[status(thm),theory(equality)],[35,403]),
[iquote('0:Res:35.1,403.0')] ).
cnf(968,plain,
( ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ equal(k17_filter_2(skc9),skc10) ),
inference(mrr,[status(thm)],[964,16]),
[iquote('0:MRR:964.0,16.0')] ).
cnf(970,plain,
( ~ m2_lattice4(skc10,skc9)
| ~ equal(k17_filter_2(skc9),skc10) ),
inference(res,[status(thm),theory(equality)],[160,968]),
[iquote('0:Res:160.1,968.0')] ).
cnf(973,plain,
~ equal(k17_filter_2(skc9),skc10),
inference(mrr,[status(thm)],[970,155]),
[iquote('0:MRR:970.0,155.0')] ).
cnf(1306,plain,
( ~ v14_lattices(skc9)
| ~ l3_lattices(skc9)
| ~ v10_lattices(skc9)
| ~ m2_lattice4(skc10,skc9)
| v3_struct_0(skc9)
| equal(k19_filter_2(skc9,skc10),k17_filter_2(skc9)) ),
inference(res,[status(thm),theory(equality)],[17,522]),
[iquote('0:Res:17.0,522.4')] ).
cnf(1314,plain,
( ~ m2_lattice4(skc10,skc9)
| v3_struct_0(skc9)
| equal(k19_filter_2(skc9,skc10),k17_filter_2(skc9)) ),
inference(ssi,[status(thm)],[1306,3,1,2,145,144,143,142,141,140,94,95]),
[iquote('0:SSi:1306.2,1306.1,1306.0,3.0,1.0,2.0,145.0,144.0,143.0,142.0,141.0,140.0,94.0,95.0,3.0,1.0,2.0,145.0,144.0,143.0,142.0,141.0,140.0,94.0,95.0,3.0,1.0,2.0,145.0,144.0,143.0,142.0,141.0,140.0,94.0,95.0')] ).
cnf(1315,plain,
equal(k19_filter_2(skc9,skc10),k17_filter_2(skc9)),
inference(mrr,[status(thm)],[1314,155,12]),
[iquote('0:MRR:1314.0,1314.1,155.0,12.0')] ).
cnf(1317,plain,
( ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(k17_filter_2(skc9),k1_zfmisc_1(k17_filter_2(skc9)))
| equal(k19_filter_2(skc9,skc10),skc10) ),
inference(rew,[status(thm),theory(equality)],[1315,419]),
[iquote('0:Rew:1315.0,419.1')] ).
cnf(1318,plain,
( ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(k17_filter_2(skc9),k1_zfmisc_1(k17_filter_2(skc9)))
| equal(k17_filter_2(skc9),skc10) ),
inference(rew,[status(thm),theory(equality)],[1315,1317]),
[iquote('0:Rew:1315.0,1317.2')] ).
cnf(1319,plain,
( ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9)))
| ~ m1_subset_1(k17_filter_2(skc9),k1_zfmisc_1(k17_filter_2(skc9))) ),
inference(mrr,[status(thm)],[1318,973]),
[iquote('0:MRR:1318.2,973.0')] ).
cnf(1538,plain,
( ~ r1_tarski(k17_filter_2(skc9),k17_filter_2(skc9))
| ~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9))) ),
inference(res,[status(thm),theory(equality)],[35,1319]),
[iquote('0:Res:35.1,1319.1')] ).
cnf(1542,plain,
~ m1_subset_1(skc10,k1_zfmisc_1(k17_filter_2(skc9))),
inference(mrr,[status(thm)],[1538,16]),
[iquote('0:MRR:1538.0,16.0')] ).
cnf(1545,plain,
( ~ l3_lattices(skc9)
| ~ v10_lattices(skc9)
| ~ m2_lattice4(skc10,skc9)
| v3_struct_0(skc9) ),
inference(res,[status(thm),theory(equality)],[67,1542]),
[iquote('0:Res:67.4,1542.0')] ).
cnf(1548,plain,
( ~ m2_lattice4(skc10,skc9)
| v3_struct_0(skc9) ),
inference(ssi,[status(thm)],[1545,3,1,2,145,144,143,142,141,140,94,95]),
[iquote('0:SSi:1545.1,1545.0,3.0,1.0,2.0,145.0,144.0,143.0,142.0,141.0,140.0,94.0,95.0,3.0,1.0,2.0,145.0,144.0,143.0,142.0,141.0,140.0,94.0,95.0')] ).
cnf(1549,plain,
$false,
inference(mrr,[status(thm)],[1548,155,12]),
[iquote('0:MRR:1548.0,1548.1,155.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT313+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 20:39:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/0.61
% 0.43/0.61 SPASS V 3.9
% 0.43/0.61 SPASS beiseite: Proof found.
% 0.43/0.61 % SZS status Theorem
% 0.43/0.61 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.61 SPASS derived 1224 clauses, backtracked 0 clauses, performed 2 splits and kept 767 clauses.
% 0.43/0.61 SPASS allocated 99007 KBytes.
% 0.43/0.61 SPASS spent 0:00:00.27 on the problem.
% 0.43/0.61 0:00:00.04 for the input.
% 0.43/0.61 0:00:00.03 for the FLOTTER CNF translation.
% 0.43/0.61 0:00:00.02 for inferences.
% 0.43/0.61 0:00:00.00 for the backtracking.
% 0.43/0.61 0:00:00.14 for the reduction.
% 0.43/0.61
% 0.43/0.61
% 0.43/0.61 Here is a proof with depth 4, length 82 :
% 0.43/0.61 % SZS output start Refutation
% See solution above
% 0.43/0.62 Formulae used in the proof : t43_filter_2 reflexivity_r1_tarski dt_l3_lattices t7_boole t3_subset cc1_lattices dt_k17_filter_2 d8_filter_2 dt_m2_filter_2 dt_m2_lattice4 t38_filter_2 redefinition_r1_filter_2 t42_filter_2
% 0.43/0.62
%------------------------------------------------------------------------------