TSTP Solution File: LAT289+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0.
% 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 06:50:11 EDT 2022
% Result : Theorem 0.39s 0.56s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 36
% Syntax : Number of clauses : 88 ( 37 unt; 40 nHn; 88 RR)
% Number of literals : 252 ( 0 equ; 119 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc11),
file('LAT289+1.p',unknown),
[] ).
cnf(2,axiom,
v17_lattices(skc11),
file('LAT289+1.p',unknown),
[] ).
cnf(3,axiom,
l3_lattices(skc11),
file('LAT289+1.p',unknown),
[] ).
cnf(36,axiom,
m1_filter_0(skc13,skc11),
file('LAT289+1.p',unknown),
[] ).
cnf(37,axiom,
~ v3_struct_0(skc11),
file('LAT289+1.p',unknown),
[] ).
cnf(38,axiom,
~ v3_realset2(skc11),
file('LAT289+1.p',unknown),
[] ).
cnf(39,axiom,
v1_filter_0(skc13,skc11),
file('LAT289+1.p',unknown),
[] ).
cnf(40,axiom,
r2_hidden(skc12,skc13),
file('LAT289+1.p',unknown),
[] ).
cnf(50,axiom,
m1_subset_1(skc12,u1_struct_0(skc11)),
file('LAT289+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ l1_lattices(u)
| l1_struct_0(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ v1_xboole_0(u)
| ~ r2_hidden(v,u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ m2_relset_1(u,v,w)
| m1_relset_1(u,v,w) ),
file('LAT289+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ l1_struct_0(u)
| ~ v1_xboole_0(u1_struct_0(u))
| v3_struct_0(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ m1_subset_1(u,v)
| v1_xboole_0(v)
| r2_hidden(u,v) ),
file('LAT289+1.p',unknown),
[] ).
cnf(133,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(135,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(136,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(137,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v11_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(140,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v13_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(141,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v14_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(142,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v15_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(143,axiom,
( ~ v17_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v16_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(145,axiom,
~ r2_hidden(skc13,k8_funct_2(u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11)),k9_lopclset(skc11),skc12)),
file('LAT289+1.p',unknown),
[] ).
cnf(157,axiom,
( ~ v11_lattices(u)
| ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v12_lattices(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ v10_lattices(u)
| ~ v17_lattices(u)
| ~ l3_lattices(u)
| v1_relat_1(k8_lopclset(u))
| v3_struct_0(u)
| v3_realset2(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| v1_funct_1(k9_lopclset(u)) ),
file('LAT289+1.p',unknown),
[] ).
cnf(167,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| equal(k8_lopclset(u),k9_lopclset(u)) ),
file('LAT289+1.p',unknown),
[] ).
cnf(172,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| m2_relset_1(k9_lopclset(u),u1_struct_0(u),k1_zfmisc_1(k7_lopclset(u))) ),
file('LAT289+1.p',unknown),
[] ).
cnf(173,axiom,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| v1_funct_2(k9_lopclset(u),u1_struct_0(u),k1_zfmisc_1(k7_lopclset(u))) ),
file('LAT289+1.p',unknown),
[] ).
cnf(180,axiom,
( ~ v1_funct_1(u)
| ~ m1_subset_1(v,w)
| ~ v1_funct_2(u,w,x)
| ~ m1_relset_1(u,w,x)
| v1_xboole_0(w)
| equal(k8_funct_2(w,x,u,v),k1_funct_1(u,v)) ),
file('LAT289+1.p',unknown),
[] ).
cnf(183,axiom,
( ~ v10_lattices(u)
| ~ v17_lattices(u)
| ~ l3_lattices(u)
| ~ r2_hidden(v,w)
| ~ v1_filter_0(w,u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_filter_0(w,u)
| r2_hidden(w,k1_funct_1(k8_lopclset(u),v))
| v3_struct_0(u)
| v3_realset2(u) ),
file('LAT289+1.p',unknown),
[] ).
cnf(185,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| v3_realset2(u)
| v3_struct_0(u)
| v1_relat_1(k9_lopclset(u)) ),
inference(rew,[status(thm),theory(equality)],[167,161]),
[iquote('0:Rew:167.5,161.3')] ).
cnf(192,plain,
( ~ l3_lattices(u)
| ~ v17_lattices(u)
| ~ v10_lattices(u)
| ~ m1_filter_0(v,u)
| ~ v1_filter_0(v,u)
| ~ r2_hidden(w,v)
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_realset2(u)
| v3_struct_0(u)
| r2_hidden(v,k1_funct_1(k9_lopclset(u),w)) ),
inference(rew,[status(thm),theory(equality)],[167,183]),
[iquote('0:Rew:167.5,183.7')] ).
cnf(200,plain,
( ~ v10_lattices(skc11)
| ~ v17_lattices(skc11)
| v1_funct_2(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11)))
| v3_struct_0(skc11)
| v3_realset2(skc11) ),
inference(res,[status(thm),theory(equality)],[3,173]),
[iquote('0:Res:3.0,173.2')] ).
cnf(201,plain,
( ~ v10_lattices(skc11)
| ~ v17_lattices(skc11)
| m2_relset_1(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11)))
| v3_struct_0(skc11)
| v3_realset2(skc11) ),
inference(res,[status(thm),theory(equality)],[3,172]),
[iquote('0:Res:3.0,172.2')] ).
cnf(203,plain,
( ~ v10_lattices(skc11)
| ~ v17_lattices(skc11)
| v1_relat_1(k9_lopclset(skc11))
| v3_struct_0(skc11)
| v3_realset2(skc11) ),
inference(res,[status(thm),theory(equality)],[3,185]),
[iquote('0:Res:3.0,185.2')] ).
cnf(209,plain,
( ~ v10_lattices(skc11)
| ~ v17_lattices(skc11)
| v1_funct_1(k9_lopclset(skc11))
| v3_struct_0(skc11)
| v3_realset2(skc11) ),
inference(res,[status(thm),theory(equality)],[3,163]),
[iquote('0:Res:3.0,163.2')] ).
cnf(211,plain,
( ~ v10_lattices(skc11)
| ~ v11_lattices(skc11)
| v12_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,157]),
[iquote('0:Res:3.0,157.0')] ).
cnf(215,plain,
( ~ v10_lattices(skc11)
| v4_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,133]),
[iquote('0:Res:3.0,133.0')] ).
cnf(216,plain,
( ~ v10_lattices(skc11)
| v5_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,134]),
[iquote('0:Res:3.0,134.0')] ).
cnf(217,plain,
( ~ v10_lattices(skc11)
| v6_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,135]),
[iquote('0:Res:3.0,135.0')] ).
cnf(218,plain,
( ~ v10_lattices(skc11)
| v7_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,136]),
[iquote('0:Res:3.0,136.0')] ).
cnf(219,plain,
( ~ v10_lattices(skc11)
| v8_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,137]),
[iquote('0:Res:3.0,137.0')] ).
cnf(220,plain,
( ~ v10_lattices(skc11)
| v9_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,138]),
[iquote('0:Res:3.0,138.0')] ).
cnf(221,plain,
( ~ v17_lattices(skc11)
| v11_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,139]),
[iquote('0:Res:3.0,139.0')] ).
cnf(222,plain,
( ~ v17_lattices(skc11)
| v13_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,140]),
[iquote('0:Res:3.0,140.0')] ).
cnf(223,plain,
( ~ v17_lattices(skc11)
| v14_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,141]),
[iquote('0:Res:3.0,141.0')] ).
cnf(224,plain,
( ~ v17_lattices(skc11)
| v15_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,142]),
[iquote('0:Res:3.0,142.0')] ).
cnf(225,plain,
( ~ v17_lattices(skc11)
| v16_lattices(skc11)
| v3_struct_0(skc11) ),
inference(res,[status(thm),theory(equality)],[3,143]),
[iquote('0:Res:3.0,143.0')] ).
cnf(226,plain,
l1_lattices(skc11),
inference(res,[status(thm),theory(equality)],[3,75]),
[iquote('0:Res:3.0,75.0')] ).
cnf(227,plain,
l2_lattices(skc11),
inference(res,[status(thm),theory(equality)],[3,76]),
[iquote('0:Res:3.0,76.0')] ).
cnf(328,plain,
( ~ l1_struct_0(skc11)
| ~ v1_xboole_0(u1_struct_0(skc11)) ),
inference(res,[status(thm),theory(equality)],[110,37]),
[iquote('0:Res:110.2,37.0')] ).
cnf(354,plain,
( ~ v10_lattices(skc11)
| ~ v17_lattices(skc11)
| ~ l3_lattices(skc11)
| ~ r2_hidden(skc12,u)
| ~ v1_filter_0(u,skc11)
| ~ m1_filter_0(u,skc11)
| r2_hidden(u,k1_funct_1(k9_lopclset(skc11),skc12))
| v3_struct_0(skc11)
| v3_realset2(skc11) ),
inference(res,[status(thm),theory(equality)],[50,192]),
[iquote('0:Res:50.0,192.5')] ).
cnf(355,plain,
( v1_xboole_0(u1_struct_0(skc11))
| r2_hidden(skc12,u1_struct_0(skc11)) ),
inference(res,[status(thm),theory(equality)],[50,112]),
[iquote('0:Res:50.0,112.0')] ).
cnf(362,plain,
v4_lattices(skc11),
inference(mrr,[status(thm)],[215,1,37]),
[iquote('0:MRR:215.0,215.2,1.0,37.0')] ).
cnf(363,plain,
v5_lattices(skc11),
inference(mrr,[status(thm)],[216,1,37]),
[iquote('0:MRR:216.0,216.2,1.0,37.0')] ).
cnf(364,plain,
v6_lattices(skc11),
inference(mrr,[status(thm)],[217,1,37]),
[iquote('0:MRR:217.0,217.2,1.0,37.0')] ).
cnf(365,plain,
v7_lattices(skc11),
inference(mrr,[status(thm)],[218,1,37]),
[iquote('0:MRR:218.0,218.2,1.0,37.0')] ).
cnf(366,plain,
v8_lattices(skc11),
inference(mrr,[status(thm)],[219,1,37]),
[iquote('0:MRR:219.0,219.2,1.0,37.0')] ).
cnf(367,plain,
v9_lattices(skc11),
inference(mrr,[status(thm)],[220,1,37]),
[iquote('0:MRR:220.0,220.2,1.0,37.0')] ).
cnf(368,plain,
v11_lattices(skc11),
inference(mrr,[status(thm)],[221,2,37]),
[iquote('0:MRR:221.0,221.2,2.0,37.0')] ).
cnf(369,plain,
v13_lattices(skc11),
inference(mrr,[status(thm)],[222,2,37]),
[iquote('0:MRR:222.0,222.2,2.0,37.0')] ).
cnf(370,plain,
v14_lattices(skc11),
inference(mrr,[status(thm)],[223,2,37]),
[iquote('0:MRR:223.0,223.2,2.0,37.0')] ).
cnf(371,plain,
v15_lattices(skc11),
inference(mrr,[status(thm)],[224,2,37]),
[iquote('0:MRR:224.0,224.2,2.0,37.0')] ).
cnf(372,plain,
v16_lattices(skc11),
inference(mrr,[status(thm)],[225,2,37]),
[iquote('0:MRR:225.0,225.2,2.0,37.0')] ).
cnf(374,plain,
v12_lattices(skc11),
inference(mrr,[status(thm)],[211,1,368,37]),
[iquote('0:MRR:211.0,211.1,211.3,1.0,368.0,37.0')] ).
cnf(376,plain,
v1_relat_1(k9_lopclset(skc11)),
inference(mrr,[status(thm)],[203,1,2,37,38]),
[iquote('0:MRR:203.0,203.1,203.3,203.4,1.0,2.0,37.0,38.0')] ).
cnf(377,plain,
v1_funct_1(k9_lopclset(skc11)),
inference(mrr,[status(thm)],[209,1,2,37,38]),
[iquote('0:MRR:209.0,209.1,209.3,209.4,1.0,2.0,37.0,38.0')] ).
cnf(386,plain,
v1_funct_2(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11))),
inference(mrr,[status(thm)],[200,1,2,37,38]),
[iquote('0:MRR:200.0,200.1,200.3,200.4,1.0,2.0,37.0,38.0')] ).
cnf(387,plain,
m2_relset_1(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11))),
inference(mrr,[status(thm)],[201,1,2,37,38]),
[iquote('0:MRR:201.0,201.1,201.3,201.4,1.0,2.0,37.0,38.0')] ).
cnf(395,plain,
( ~ m1_filter_0(u,skc11)
| ~ v1_filter_0(u,skc11)
| ~ r2_hidden(skc12,u)
| r2_hidden(u,k1_funct_1(k9_lopclset(skc11),skc12)) ),
inference(mrr,[status(thm)],[354,1,2,3,37,38]),
[iquote('0:MRR:354.0,354.1,354.2,354.7,354.8,1.0,2.0,3.0,37.0,38.0')] ).
cnf(404,plain,
( ~ r2_hidden(skc12,skc13)
| ~ v1_filter_0(skc13,skc11)
| r2_hidden(skc13,k1_funct_1(k9_lopclset(skc11),skc12)) ),
inference(res,[status(thm),theory(equality)],[36,395]),
[iquote('0:Res:36.0,395.2')] ).
cnf(414,plain,
r2_hidden(skc13,k1_funct_1(k9_lopclset(skc11),skc12)),
inference(mrr,[status(thm)],[404,40,39]),
[iquote('0:MRR:404.0,404.1,40.0,39.0')] ).
cnf(445,plain,
v1_xboole_0(u1_struct_0(skc11)),
inference(spt,[spt(split,[position(s1)])],[355]),
[iquote('1:Spt:355.0')] ).
cnf(451,plain,
~ l1_struct_0(skc11),
inference(mrr,[status(thm)],[328,445]),
[iquote('1:MRR:328.1,445.0')] ).
cnf(452,plain,
$false,
inference(ssi,[status(thm)],[451,65,2,1,3,374,372,367,366,365,364,363,362,227,226,370,369,368,371]),
[iquote('1:SSi:451.0,65.0,2.0,1.0,3.0,374.0,372.0,367.0,366.0,365.0,364.0,363.0,362.0,227.0,226.0,370.0,369.0,368.0,371.1')] ).
cnf(453,plain,
~ v1_xboole_0(u1_struct_0(skc11)),
inference(spt,[spt(split,[position(sa)])],[452,445]),
[iquote('1:Spt:452.0,355.0,445.0')] ).
cnf(454,plain,
r2_hidden(skc12,u1_struct_0(skc11)),
inference(spt,[spt(split,[position(s2)])],[355]),
[iquote('1:Spt:452.0,355.1')] ).
cnf(456,plain,
~ v1_xboole_0(u1_struct_0(skc11)),
inference(res,[status(thm),theory(equality)],[454,87]),
[iquote('1:Res:454.0,87.1')] ).
cnf(781,plain,
m1_relset_1(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11))),
inference(res,[status(thm),theory(equality)],[387,108]),
[iquote('0:Res:387.0,108.0')] ).
cnf(1424,plain,
( ~ v1_funct_1(k9_lopclset(skc11))
| ~ m1_subset_1(skc12,u1_struct_0(skc11))
| ~ v1_funct_2(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11)))
| ~ m1_relset_1(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11)))
| ~ r2_hidden(skc13,k1_funct_1(k9_lopclset(skc11),skc12))
| v1_xboole_0(u1_struct_0(skc11)) ),
inference(spl,[status(thm),theory(equality)],[180,145]),
[iquote('0:SpL:180.5,145.0')] ).
cnf(1425,plain,
( ~ m1_subset_1(skc12,u1_struct_0(skc11))
| ~ v1_funct_2(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11)))
| ~ m1_relset_1(k9_lopclset(skc11),u1_struct_0(skc11),k1_zfmisc_1(k7_lopclset(skc11)))
| ~ r2_hidden(skc13,k1_funct_1(k9_lopclset(skc11),skc12))
| v1_xboole_0(u1_struct_0(skc11)) ),
inference(ssi,[status(thm)],[1424,376,377]),
[iquote('0:SSi:1424.0,376.0,377.0')] ).
cnf(1426,plain,
$false,
inference(mrr,[status(thm)],[1425,50,386,781,414,456]),
[iquote('1:MRR:1425.0,1425.1,1425.2,1425.3,1425.4,50.0,386.0,781.0,414.0,456.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT289+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.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 : Wed Jun 29 19:26:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.56
% 0.39/0.56 SPASS V 3.9
% 0.39/0.56 SPASS beiseite: Proof found.
% 0.39/0.56 % SZS status Theorem
% 0.39/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.56 SPASS derived 1162 clauses, backtracked 23 clauses, performed 2 splits and kept 859 clauses.
% 0.39/0.56 SPASS allocated 98710 KBytes.
% 0.39/0.56 SPASS spent 0:00:00.22 on the problem.
% 0.39/0.56 0:00:00.04 for the input.
% 0.39/0.56 0:00:00.04 for the FLOTTER CNF translation.
% 0.39/0.56 0:00:00.01 for inferences.
% 0.39/0.56 0:00:00.00 for the backtracking.
% 0.39/0.56 0:00:00.08 for the reduction.
% 0.39/0.56
% 0.39/0.56
% 0.39/0.56 Here is a proof with depth 3, length 88 :
% 0.39/0.56 % SZS output start Refutation
% See solution above
% 0.39/0.57 Formulae used in the proof : t27_lopclset dt_l1_lattices dt_l3_lattices t7_boole redefinition_m2_relset_1 fc1_struct_0 t2_subset cc1_lattices cc5_lattices cc7_lattices dt_k8_lopclset dt_k9_lopclset redefinition_k9_lopclset redefinition_k8_funct_2 t21_lopclset
% 0.39/0.57
%------------------------------------------------------------------------------