TSTP Solution File: GEO611+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 : Sat Jul 16 06:25:30 EDT 2022
% Result : Theorem 20.84s 21.03s
% Output : Refutation 20.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 29
% Syntax : Number of clauses : 103 ( 37 unt; 5 nHn; 103 RR)
% Number of literals : 198 ( 0 equ; 91 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc11,skc16,skc17),
file('GEO611+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc14,skc16,skc15),
file('GEO611+1.p',unknown),
[] ).
cnf(3,axiom,
coll(skc12,skc10,skc11),
file('GEO611+1.p',unknown),
[] ).
cnf(6,axiom,
perp(skc14,skc10,skc16,skc15),
file('GEO611+1.p',unknown),
[] ).
cnf(9,axiom,
~ para(skc11,skc14,skc12,skc15),
file('GEO611+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO611+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO611+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO611+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO611+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO611+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO611+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO611+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO611+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO611+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO611+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO611+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO611+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO611+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO611+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO611+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO611+1.p',unknown),
[] ).
cnf(122,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| ~ cyclic(u,v,w,z)
| ~ eqangle(w,u,w,v,z,x,z,y)
| cong(u,v,x,y) ),
file('GEO611+1.p',unknown),
[] ).
cnf(125,plain,
coll(skc12,skc11,skc10),
inference(res,[status(thm),theory(equality)],[3,10]),
[iquote('0:Res:3.0,10.0')] ).
cnf(148,plain,
coll(skc14,skc15,skc16),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(171,plain,
coll(skc11,skc17,skc16),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(220,plain,
( ~ perp(skc16,skc15,u,v)
| para(skc14,skc10,u,v) ),
inference(res,[status(thm),theory(equality)],[6,45]),
[iquote('0:Res:6.0,45.0')] ).
cnf(222,plain,
perp(skc16,skc15,skc14,skc10),
inference(res,[status(thm),theory(equality)],[6,19]),
[iquote('0:Res:6.0,19.0')] ).
cnf(227,plain,
( ~ perp(u,v,skc14,skc10)
| para(u,v,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[6,45]),
[iquote('0:Res:6.0,45.1')] ).
cnf(274,plain,
coll(skc15,skc14,skc16),
inference(res,[status(thm),theory(equality)],[148,11]),
[iquote('0:Res:148.0,11.0')] ).
cnf(293,plain,
coll(skc15,skc16,skc14),
inference(res,[status(thm),theory(equality)],[274,10]),
[iquote('0:Res:274.0,10.0')] ).
cnf(431,plain,
( ~ coll(skc15,skc16,u)
| coll(u,skc14,skc15) ),
inference(res,[status(thm),theory(equality)],[293,27]),
[iquote('0:Res:293.0,27.0')] ).
cnf(436,plain,
( ~ coll(skc11,skc17,u)
| coll(u,skc16,skc11) ),
inference(res,[status(thm),theory(equality)],[171,27]),
[iquote('0:Res:171.0,27.0')] ).
cnf(440,plain,
( ~ coll(skc12,skc11,u)
| coll(u,skc10,skc12) ),
inference(res,[status(thm),theory(equality)],[125,27]),
[iquote('0:Res:125.0,27.0')] ).
cnf(508,plain,
coll(skc14,skc14,skc15),
inference(res,[status(thm),theory(equality)],[293,431]),
[iquote('0:Res:293.0,431.0')] ).
cnf(570,plain,
coll(skc16,skc16,skc11),
inference(res,[status(thm),theory(equality)],[171,436]),
[iquote('0:Res:171.0,436.0')] ).
cnf(630,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[36,34]),
[iquote('0:Res:36.1,34.0')] ).
cnf(636,plain,
coll(skc10,skc10,skc12),
inference(res,[status(thm),theory(equality)],[125,440]),
[iquote('0:Res:125.0,440.0')] ).
cnf(639,plain,
coll(skc10,skc12,skc10),
inference(res,[status(thm),theory(equality)],[636,10]),
[iquote('0:Res:636.0,10.0')] ).
cnf(641,plain,
( ~ coll(skc10,skc12,u)
| coll(u,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[639,27]),
[iquote('0:Res:639.0,27.0')] ).
cnf(1173,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,63]),
[iquote('0:Res:35.1,63.0')] ).
cnf(1245,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1277,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(1676,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,80]),
[iquote('0:Res:35.1,80.1')] ).
cnf(2750,plain,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[36,122]),
[iquote('0:Res:36.1,122.3')] ).
cnf(2752,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(obv,[status(thm),theory(equality)],[2750]),
[iquote('0:Obv:2750.0')] ).
cnf(2753,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2752]),
[iquote('0:Con:2752.2')] ).
cnf(2966,plain,
( ~ perp(skc16,skc15,u,v)
| para(skc14,skc10,v,u) ),
inference(res,[status(thm),theory(equality)],[220,16]),
[iquote('0:Res:220.1,16.0')] ).
cnf(3064,plain,
coll(skc10,skc10,skc10),
inference(res,[status(thm),theory(equality)],[639,641]),
[iquote('0:Res:639.0,641.0')] ).
cnf(4875,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1245,63]),
[iquote('0:Res:1245.1,63.0')] ).
cnf(4886,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1245,80]),
[iquote('0:Res:1245.1,80.1')] ).
cnf(4901,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4886,4875]),
[iquote('0:MRR:4886.1,4875.1')] ).
cnf(5236,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1277,34]),
[iquote('0:Res:1277.1,34.0')] ).
cnf(5659,plain,
( ~ perp(skc16,skc15,skc14,skc10)
| ~ coll(skc16,skc16,u)
| cyclic(skc15,u,skc16,skc16) ),
inference(res,[status(thm),theory(equality)],[227,1676]),
[iquote('0:Res:227.1,1676.0')] ).
cnf(5661,plain,
( ~ perp(skc16,skc15,skc14,skc10)
| ~ coll(skc14,skc14,u)
| cyclic(skc10,u,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[220,1676]),
[iquote('0:Res:220.1,1676.0')] ).
cnf(5663,plain,
( ~ coll(skc16,skc16,u)
| cyclic(skc15,u,skc16,skc16) ),
inference(mrr,[status(thm)],[5659,222]),
[iquote('0:MRR:5659.0,222.0')] ).
cnf(5665,plain,
( ~ coll(skc14,skc14,u)
| cyclic(skc10,u,skc14,skc14) ),
inference(mrr,[status(thm)],[5661,222]),
[iquote('0:MRR:5661.0,222.0')] ).
cnf(8991,plain,
( ~ coll(skc16,skc16,u)
| para(skc16,skc15,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[5663,630]),
[iquote('0:Res:5663.1,630.0')] ).
cnf(8997,plain,
para(skc16,skc15,skc16,skc15),
inference(res,[status(thm),theory(equality)],[570,8991]),
[iquote('0:Res:570.0,8991.0')] ).
cnf(9243,plain,
( ~ coll(skc14,skc14,u)
| cyclic(u,skc10,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[5665,22]),
[iquote('0:Res:5665.1,22.0')] ).
cnf(9244,plain,
( ~ coll(skc14,skc14,u)
| para(skc14,skc10,skc14,skc10) ),
inference(res,[status(thm),theory(equality)],[5665,630]),
[iquote('0:Res:5665.1,630.0')] ).
cnf(9263,plain,
para(skc14,skc10,skc14,skc10),
inference(res,[status(thm),theory(equality)],[508,9244]),
[iquote('0:Res:508.0,9244.0')] ).
cnf(9274,plain,
para(skc14,skc10,skc10,skc14),
inference(res,[status(thm),theory(equality)],[9263,16]),
[iquote('0:Res:9263.0,16.0')] ).
cnf(9292,plain,
para(skc10,skc14,skc14,skc10),
inference(res,[status(thm),theory(equality)],[9274,17]),
[iquote('0:Res:9274.0,17.0')] ).
cnf(9308,plain,
para(skc10,skc14,skc10,skc14),
inference(res,[status(thm),theory(equality)],[9292,16]),
[iquote('0:Res:9292.0,16.0')] ).
cnf(9346,plain,
( ~ coll(skc10,skc10,u)
| cyclic(skc14,u,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[9308,1676]),
[iquote('0:Res:9308.0,1676.0')] ).
cnf(9578,plain,
( ~ coll(skc14,skc14,u)
| cyclic(u,skc14,skc10,skc14) ),
inference(res,[status(thm),theory(equality)],[9243,21]),
[iquote('0:Res:9243.1,21.0')] ).
cnf(9595,plain,
( ~ coll(skc10,skc10,u)
| cyclic(u,skc14,skc10,skc10) ),
inference(res,[status(thm),theory(equality)],[9346,22]),
[iquote('0:Res:9346.1,22.0')] ).
cnf(9890,plain,
( ~ coll(skc10,skc10,skc10)
| ~ cyclic(skc10,skc14,skc10,skc14)
| cong(skc10,skc14,skc10,skc14) ),
inference(res,[status(thm),theory(equality)],[9595,2753]),
[iquote('0:Res:9595.1,2753.0')] ).
cnf(9894,plain,
( ~ cyclic(skc10,skc14,skc10,skc14)
| cong(skc10,skc14,skc10,skc14) ),
inference(mrr,[status(thm)],[9890,3064]),
[iquote('0:MRR:9890.0,3064.0')] ).
cnf(16204,plain,
( ~ perp(skc16,skc15,u,v)
| ~ para(w,x,skc14,skc10)
| para(w,x,v,u) ),
inference(res,[status(thm),theory(equality)],[2966,44]),
[iquote('0:Res:2966.1,44.0')] ).
cnf(17437,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[8997,5236]),
[iquote('0:Res:8997.0,5236.0')] ).
cnf(17491,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1173,17437]),
[iquote('0:MRR:1173.0,17437.0')] ).
cnf(17494,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4901,17437]),
[iquote('0:MRR:4901.0,17437.0')] ).
cnf(17747,plain,
( coll(u,u,v)
| cyclic(v,u,w,u) ),
inference(res,[status(thm),theory(equality)],[17491,21]),
[iquote('0:Res:17491.1,21.0')] ).
cnf(17757,plain,
cyclic(u,skc14,skc10,skc14),
inference(mrr,[status(thm)],[9578,17747]),
[iquote('0:MRR:9578.0,17747.0')] ).
cnf(17780,plain,
cong(skc10,skc14,skc10,skc14),
inference(mrr,[status(thm)],[9894,17757]),
[iquote('0:MRR:9894.0,17757.0')] ).
cnf(18748,plain,
( ~ cong(skc10,u,skc10,u)
| perp(skc10,skc10,u,skc14) ),
inference(res,[status(thm),theory(equality)],[17780,50]),
[iquote('0:Res:17780.0,50.0')] ).
cnf(20169,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[17494,96]),
[iquote('0:Res:17494.0,96.0')] ).
cnf(20170,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[17494,48]),
[iquote('0:Res:17494.0,48.0')] ).
cnf(20267,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20170,17494]),
[iquote('0:MRR:20170.0,17494.0')] ).
cnf(20271,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,20267]),
[iquote('0:MRR:122.2,122.1,122.0,20267.0')] ).
cnf(20286,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,20267]),
[iquote('0:MRR:70.1,20267.0')] ).
cnf(20288,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2753,20267]),
[iquote('0:MRR:2753.1,2753.0,20267.0')] ).
cnf(20583,plain,
perp(skc10,skc10,u,skc14),
inference(mrr,[status(thm)],[18748,20288]),
[iquote('0:MRR:18748.0,20288.0')] ).
cnf(20699,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20169,20288]),
[iquote('0:MRR:20169.0,20169.1,20288.0,20288.0')] ).
cnf(20711,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,20699]),
[iquote('0:MRR:93.0,20699.0')] ).
cnf(20731,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[20286,20699]),
[iquote('0:MRR:20286.0,20699.0')] ).
cnf(21408,plain,
perp(skc10,skc10,skc14,u),
inference(res,[status(thm),theory(equality)],[20583,18]),
[iquote('0:Res:20583.0,18.0')] ).
cnf(24037,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20731,20711]),
[iquote('0:Res:20731.0,20711.0')] ).
cnf(24202,plain,
( ~ perp(u,v,skc10,skc10)
| para(u,v,skc14,w) ),
inference(res,[status(thm),theory(equality)],[21408,45]),
[iquote('0:Res:21408.0,45.0')] ).
cnf(26366,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24037,20271]),
[iquote('0:Res:24037.0,20271.0')] ).
cnf(26386,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,26366]),
[iquote('0:MRR:50.1,50.0,26366.0')] ).
cnf(27250,plain,
( ~ para(u,v,skc14,skc10)
| para(u,v,w,x) ),
inference(mrr,[status(thm)],[16204,26386]),
[iquote('0:MRR:16204.0,26386.0')] ).
cnf(27310,plain,
para(u,v,skc14,w),
inference(mrr,[status(thm)],[24202,26386]),
[iquote('0:MRR:24202.0,26386.0')] ).
cnf(27951,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[27250,27310]),
[iquote('0:MRR:27250.0,27310.0')] ).
cnf(27952,plain,
$false,
inference(unc,[status(thm)],[27951,9]),
[iquote('0:UnC:27951.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO611+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 : Fri Jun 17 22:57:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 20.84/21.03
% 20.84/21.03 SPASS V 3.9
% 20.84/21.03 SPASS beiseite: Proof found.
% 20.84/21.03 % SZS status Theorem
% 20.84/21.03 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.84/21.03 SPASS derived 26534 clauses, backtracked 0 clauses, performed 3 splits and kept 15631 clauses.
% 20.84/21.03 SPASS allocated 104634 KBytes.
% 20.84/21.03 SPASS spent 0:0:20.56 on the problem.
% 20.84/21.03 0:00:00.04 for the input.
% 20.84/21.03 0:00:00.22 for the FLOTTER CNF translation.
% 20.84/21.03 0:00:00.39 for inferences.
% 20.84/21.03 0:00:00.16 for the backtracking.
% 20.84/21.03 0:0:19.33 for the reduction.
% 20.84/21.03
% 20.84/21.03
% 20.84/21.03 Here is a proof with depth 15, length 103 :
% 20.84/21.03 % SZS output start Refutation
% See solution above
% 20.84/21.03 Formulae used in the proof : exemplo6GDDFULL618073 ruleD1 ruleD2 ruleD4 ruleD5 ruleD7 ruleD8 ruleD15 ruleD16 ruleD3 ruleD39 ruleD40 ruleD41 ruleD6 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 20.84/21.03
%------------------------------------------------------------------------------