TSTP Solution File: LAT305+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT305+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:50:28 EDT 2022
% Result : Theorem 1.05s 1.27s
% Output : Refutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 64 ( 16 unt; 29 nHn; 64 RR)
% Number of literals : 234 ( 0 equ; 147 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
v10_lattices(skc15),
file('LAT305+1.p',unknown),
[] ).
cnf(2,axiom,
l3_lattices(skc15),
file('LAT305+1.p',unknown),
[] ).
cnf(19,axiom,
~ v3_struct_0(skc15),
file('LAT305+1.p',unknown),
[] ).
cnf(29,axiom,
m1_subset_1(skc17,u1_struct_0(skc15)),
file('LAT305+1.p',unknown),
[] ).
cnf(30,axiom,
m1_subset_1(skc16,u1_struct_0(skc15)),
file('LAT305+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ l3_lattices(u)
| l1_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ l3_lattices(u)
| l2_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v4_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v5_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v6_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v7_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v8_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| v3_struct_0(u)
| v9_lattices(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| equal(a_2_0_filter_2(u,v),k18_filter_2(u,v)) ),
file('LAT305+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ l3_lattices(u)
| ~ v9_lattices(u)
| ~ v8_lattices(u)
| ~ v6_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u)
| r3_lattices(u,v,v) ),
file('LAT305+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ r2_hidden(v,a_2_0_filter_2(u,w))
| ~ m1_subset_1(w,u1_struct_0(u))
| m1_subset_1(v,u1_struct_0(u))
| v3_struct_0(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ r2_hidden(skc16,k18_filter_2(skc15,skc16))
| ~ r2_hidden(k4_lattices(skc15,skc17,skc16),k18_filter_2(skc15,skc16))
| ~ r2_hidden(k4_lattices(skc15,skc16,skc17),k18_filter_2(skc15,skc16)) ),
file('LAT305+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ l1_lattices(u)
| ~ v6_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| m1_subset_1(k4_lattices(u,w,v),u1_struct_0(u)) ),
file('LAT305+1.p',unknown),
[] ).
cnf(107,axiom,
( ~ l1_lattices(u)
| ~ v6_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| equal(k4_lattices(u,w,v),k4_lattices(u,v,w)) ),
file('LAT305+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ l3_lattices(u)
| ~ v8_lattices(u)
| ~ v6_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| v3_struct_0(u)
| r1_lattices(u,k4_lattices(u,w,v),w) ),
file('LAT305+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ v10_lattices(u)
| ~ l3_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| ~ r3_lattices(u,w,v)
| r2_hidden(w,a_2_0_filter_2(u,v))
| v3_struct_0(u) ),
file('LAT305+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ l3_lattices(u)
| ~ v9_lattices(u)
| ~ v8_lattices(u)
| ~ v6_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| ~ r1_lattices(u,w,v)
| v3_struct_0(u)
| r3_lattices(u,w,v) ),
file('LAT305+1.p',unknown),
[] ).
cnf(118,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ r2_hidden(w,k18_filter_2(u,v))
| v3_struct_0(u)
| m1_subset_1(w,u1_struct_0(u)) ),
inference(rew,[status(thm),theory(equality)],[98,102]),
[iquote('0:Rew:98.4,102.2')] ).
cnf(119,plain,
( ~ l3_lattices(u)
| ~ v10_lattices(u)
| ~ m1_subset_1(v,u1_struct_0(u))
| ~ m1_subset_1(w,u1_struct_0(u))
| ~ r3_lattices(u,v,w)
| v3_struct_0(u)
| r2_hidden(v,k18_filter_2(u,w)) ),
inference(rew,[status(thm),theory(equality)],[98,109]),
[iquote('0:Rew:98.4,109.5')] ).
cnf(136,plain,
( ~ v10_lattices(skc15)
| v4_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,65]),
[iquote('0:Res:2.0,65.0')] ).
cnf(137,plain,
( ~ v10_lattices(skc15)
| v5_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,66]),
[iquote('0:Res:2.0,66.0')] ).
cnf(138,plain,
( ~ v10_lattices(skc15)
| v6_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,67]),
[iquote('0:Res:2.0,67.0')] ).
cnf(139,plain,
( ~ v10_lattices(skc15)
| v7_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,68]),
[iquote('0:Res:2.0,68.0')] ).
cnf(140,plain,
( ~ v10_lattices(skc15)
| v8_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,69]),
[iquote('0:Res:2.0,69.0')] ).
cnf(141,plain,
( ~ v10_lattices(skc15)
| v9_lattices(skc15)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[2,70]),
[iquote('0:Res:2.0,70.0')] ).
cnf(142,plain,
l1_lattices(skc15),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.0,40.0')] ).
cnf(143,plain,
l2_lattices(skc15),
inference(res,[status(thm),theory(equality)],[2,41]),
[iquote('0:Res:2.0,41.0')] ).
cnf(201,plain,
( ~ v6_lattices(skc15)
| ~ v8_lattices(skc15)
| ~ l3_lattices(skc15)
| ~ m1_subset_1(u,u1_struct_0(skc15))
| v3_struct_0(skc15)
| r1_lattices(skc15,k4_lattices(skc15,skc16,u),skc16) ),
inference(res,[status(thm),theory(equality)],[30,108]),
[iquote('0:Res:30.0,108.3')] ).
cnf(204,plain,
( ~ v6_lattices(skc15)
| ~ l1_lattices(skc15)
| ~ m1_subset_1(u,u1_struct_0(skc15))
| m1_subset_1(k4_lattices(skc15,skc16,u),u1_struct_0(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[30,104]),
[iquote('0:Res:30.0,104.2')] ).
cnf(205,plain,
( ~ v6_lattices(skc15)
| ~ v8_lattices(skc15)
| ~ v9_lattices(skc15)
| ~ l3_lattices(skc15)
| v3_struct_0(skc15)
| r3_lattices(skc15,skc16,skc16) ),
inference(res,[status(thm),theory(equality)],[30,100]),
[iquote('0:Res:30.0,100.4')] ).
cnf(217,plain,
( ~ v10_lattices(skc15)
| ~ l3_lattices(skc15)
| ~ r2_hidden(u,k18_filter_2(skc15,skc16))
| m1_subset_1(u,u1_struct_0(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[30,118]),
[iquote('0:Res:30.0,118.3')] ).
cnf(244,plain,
( ~ v6_lattices(skc15)
| ~ l1_lattices(skc15)
| ~ m1_subset_1(u,u1_struct_0(skc15))
| m1_subset_1(k4_lattices(skc15,u,skc17),u1_struct_0(skc15))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[29,104]),
[iquote('0:Res:29.0,104.3')] ).
cnf(253,plain,
v4_lattices(skc15),
inference(mrr,[status(thm)],[136,1,19]),
[iquote('0:MRR:136.0,136.2,1.0,19.0')] ).
cnf(254,plain,
v5_lattices(skc15),
inference(mrr,[status(thm)],[137,1,19]),
[iquote('0:MRR:137.0,137.2,1.0,19.0')] ).
cnf(255,plain,
v6_lattices(skc15),
inference(mrr,[status(thm)],[138,1,19]),
[iquote('0:MRR:138.0,138.2,1.0,19.0')] ).
cnf(256,plain,
v7_lattices(skc15),
inference(mrr,[status(thm)],[139,1,19]),
[iquote('0:MRR:139.0,139.2,1.0,19.0')] ).
cnf(257,plain,
v8_lattices(skc15),
inference(mrr,[status(thm)],[140,1,19]),
[iquote('0:MRR:140.0,140.2,1.0,19.0')] ).
cnf(258,plain,
v9_lattices(skc15),
inference(mrr,[status(thm)],[141,1,19]),
[iquote('0:MRR:141.0,141.2,1.0,19.0')] ).
cnf(279,plain,
r3_lattices(skc15,skc16,skc16),
inference(mrr,[status(thm)],[205,255,257,258,2,19]),
[iquote('0:MRR:205.0,205.1,205.2,205.3,205.4,255.0,257.0,258.0,2.0,19.0')] ).
cnf(280,plain,
( ~ r2_hidden(u,k18_filter_2(skc15,skc16))
| m1_subset_1(u,u1_struct_0(skc15)) ),
inference(mrr,[status(thm)],[217,1,2,19]),
[iquote('0:MRR:217.0,217.1,217.4,1.0,2.0,19.0')] ).
cnf(285,plain,
( ~ m1_subset_1(u,u1_struct_0(skc15))
| m1_subset_1(k4_lattices(skc15,u,skc17),u1_struct_0(skc15)) ),
inference(mrr,[status(thm)],[244,255,142,19]),
[iquote('0:MRR:244.0,244.1,244.4,255.0,142.0,19.0')] ).
cnf(288,plain,
( ~ m1_subset_1(u,u1_struct_0(skc15))
| m1_subset_1(k4_lattices(skc15,skc16,u),u1_struct_0(skc15)) ),
inference(mrr,[status(thm)],[204,255,142,19]),
[iquote('0:MRR:204.0,204.1,204.4,255.0,142.0,19.0')] ).
cnf(309,plain,
( ~ m1_subset_1(u,u1_struct_0(skc15))
| r1_lattices(skc15,k4_lattices(skc15,skc16,u),skc16) ),
inference(mrr,[status(thm)],[201,255,257,2,19]),
[iquote('0:MRR:201.0,201.1,201.2,201.4,255.0,257.0,2.0,19.0')] ).
cnf(1236,plain,
( ~ l1_lattices(skc15)
| ~ v6_lattices(skc15)
| ~ m1_subset_1(skc17,u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r2_hidden(skc16,k18_filter_2(skc15,skc16))
| ~ r2_hidden(k4_lattices(skc15,skc16,skc17),k18_filter_2(skc15,skc16))
| ~ r2_hidden(k4_lattices(skc15,skc16,skc17),k18_filter_2(skc15,skc16))
| v3_struct_0(skc15) ),
inference(spl,[status(thm),theory(equality)],[107,103]),
[iquote('0:SpL:107.5,103.1')] ).
cnf(1261,plain,
( ~ l1_lattices(skc15)
| ~ v6_lattices(skc15)
| ~ m1_subset_1(skc17,u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r2_hidden(skc16,k18_filter_2(skc15,skc16))
| ~ r2_hidden(k4_lattices(skc15,skc16,skc17),k18_filter_2(skc15,skc16))
| v3_struct_0(skc15) ),
inference(obv,[status(thm),theory(equality)],[1236]),
[iquote('0:Obv:1236.5')] ).
cnf(1262,plain,
( ~ m1_subset_1(skc17,u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r2_hidden(skc16,k18_filter_2(skc15,skc16))
| ~ r2_hidden(k4_lattices(skc15,skc16,skc17),k18_filter_2(skc15,skc16))
| v3_struct_0(skc15) ),
inference(ssi,[status(thm)],[1261,1,2,254,253,143,258,256,257,255,142]),
[iquote('0:SSi:1261.1,1261.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0')] ).
cnf(1263,plain,
( ~ r2_hidden(skc16,k18_filter_2(skc15,skc16))
| ~ r2_hidden(k4_lattices(skc15,skc16,skc17),k18_filter_2(skc15,skc16)) ),
inference(mrr,[status(thm)],[1262,29,280,19]),
[iquote('0:MRR:1262.0,1262.1,1262.4,29.0,280.1,19.0')] ).
cnf(1440,plain,
( ~ l3_lattices(skc15)
| ~ v9_lattices(skc15)
| ~ v8_lattices(skc15)
| ~ v6_lattices(skc15)
| ~ m1_subset_1(u,u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ m1_subset_1(k4_lattices(skc15,skc16,u),u1_struct_0(skc15))
| v3_struct_0(skc15)
| r3_lattices(skc15,k4_lattices(skc15,skc16,u),skc16) ),
inference(res,[status(thm),theory(equality)],[309,111]),
[iquote('0:Res:309.1,111.6')] ).
cnf(1468,plain,
( ~ m1_subset_1(u,u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ m1_subset_1(k4_lattices(skc15,skc16,u),u1_struct_0(skc15))
| v3_struct_0(skc15)
| r3_lattices(skc15,k4_lattices(skc15,skc16,u),skc16) ),
inference(ssi,[status(thm)],[1440,1,2,254,253,143,258,256,257,255,142]),
[iquote('0:SSi:1440.3,1440.2,1440.1,1440.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0')] ).
cnf(1469,plain,
( ~ m1_subset_1(u,u1_struct_0(skc15))
| r3_lattices(skc15,k4_lattices(skc15,skc16,u),skc16) ),
inference(mrr,[status(thm)],[1468,30,288,19]),
[iquote('0:MRR:1468.1,1468.2,1468.3,30.0,288.1,19.0')] ).
cnf(2436,plain,
( ~ l3_lattices(skc15)
| ~ v10_lattices(skc15)
| ~ m1_subset_1(k4_lattices(skc15,skc16,skc17),u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r3_lattices(skc15,k4_lattices(skc15,skc16,skc17),skc16)
| ~ r2_hidden(skc16,k18_filter_2(skc15,skc16))
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[119,1263]),
[iquote('0:Res:119.6,1263.1')] ).
cnf(2439,plain,
( ~ m1_subset_1(k4_lattices(skc15,skc16,skc17),u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r3_lattices(skc15,k4_lattices(skc15,skc16,skc17),skc16)
| ~ r2_hidden(skc16,k18_filter_2(skc15,skc16))
| v3_struct_0(skc15) ),
inference(ssi,[status(thm)],[2436,1,2,254,253,143,258,256,257,255,142]),
[iquote('0:SSi:2436.1,2436.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0')] ).
cnf(2440,plain,
( ~ r3_lattices(skc15,k4_lattices(skc15,skc16,skc17),skc16)
| ~ r2_hidden(skc16,k18_filter_2(skc15,skc16)) ),
inference(mrr,[status(thm)],[2439,285,280,19]),
[iquote('0:MRR:2439.0,2439.1,2439.4,285.1,280.1,19.0')] ).
cnf(3892,plain,
( ~ m1_subset_1(skc17,u1_struct_0(skc15))
| ~ r2_hidden(skc16,k18_filter_2(skc15,skc16)) ),
inference(res,[status(thm),theory(equality)],[1469,2440]),
[iquote('0:Res:1469.1,2440.0')] ).
cnf(3894,plain,
~ r2_hidden(skc16,k18_filter_2(skc15,skc16)),
inference(mrr,[status(thm)],[3892,29]),
[iquote('0:MRR:3892.0,29.0')] ).
cnf(3895,plain,
( ~ l3_lattices(skc15)
| ~ v10_lattices(skc15)
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r3_lattices(skc15,skc16,skc16)
| v3_struct_0(skc15) ),
inference(res,[status(thm),theory(equality)],[119,3894]),
[iquote('0:Res:119.6,3894.0')] ).
cnf(3905,plain,
( ~ l3_lattices(skc15)
| ~ v10_lattices(skc15)
| ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r3_lattices(skc15,skc16,skc16)
| v3_struct_0(skc15) ),
inference(obv,[status(thm),theory(equality)],[3895]),
[iquote('0:Obv:3895.2')] ).
cnf(3906,plain,
( ~ m1_subset_1(skc16,u1_struct_0(skc15))
| ~ r3_lattices(skc15,skc16,skc16)
| v3_struct_0(skc15) ),
inference(ssi,[status(thm)],[3905,1,2,254,253,143,258,256,257,255,142]),
[iquote('0:SSi:3905.1,3905.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0,1.0,2.0,254.0,253.0,143.0,258.0,256.0,257.0,255.0,142.0')] ).
cnf(3907,plain,
$false,
inference(mrr,[status(thm)],[3906,30,279,19]),
[iquote('0:MRR:3906.0,3906.1,3906.2,30.0,279.0,19.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT305+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.31 % Computer : n028.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Wed Jun 29 16:38:43 EDT 2022
% 0.12/0.31 % CPUTime :
% 1.05/1.27
% 1.05/1.27 SPASS V 3.9
% 1.05/1.27 SPASS beiseite: Proof found.
% 1.05/1.27 % SZS status Theorem
% 1.05/1.27 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.05/1.27 SPASS derived 2843 clauses, backtracked 453 clauses, performed 16 splits and kept 1981 clauses.
% 1.05/1.27 SPASS allocated 101589 KBytes.
% 1.05/1.27 SPASS spent 0:00:00.95 on the problem.
% 1.05/1.27 0:00:00.04 for the input.
% 1.05/1.27 0:00:00.05 for the FLOTTER CNF translation.
% 1.05/1.27 0:00:00.05 for inferences.
% 1.05/1.27 0:00:00.02 for the backtracking.
% 1.05/1.27 0:00:00.74 for the reduction.
% 1.05/1.27
% 1.05/1.27
% 1.05/1.27 Here is a proof with depth 4, length 64 :
% 1.05/1.27 % SZS output start Refutation
% See solution above
% 1.05/1.30 Formulae used in the proof : t31_filter_2 dt_l3_lattices cc1_lattices d9_filter_2 reflexivity_r3_lattices fraenkel_a_2_0_filter_2 dt_k4_lattices commutativity_k4_lattices t23_lattices redefinition_r3_lattices
% 1.05/1.30
%------------------------------------------------------------------------------