1
s_
0
2
s_
s_
0
3
s_
s_
s_
0
4
s_
s_
s_
s_
0
5
s_
s_
s_
s_
s_
0
6
s_
s_
s_
s_
s_
s_
0
7
s_
s_
s_
s_
s_
s_
s_
0
U101
tt
M
N
d
N
M
U11
tt
0
U111
tt
0
U121
tt
M'
N'
U122
equal
_>_
N'
M'
true
M'
N'
U122
tt
M'
N'
gcd
d
N'
M'
M'
U131
tt
N'
N'
U141
tt
V1
V2
U142
isNat
V1
V2
U142
tt
V2
U143
isNat
V2
U143
tt
tt
U151
tt
V1
V2
U152
isNat
V1
V2
U152
tt
V2
U153
isNat
V2
U153
tt
tt
U161
tt
V
U162
isNzNat
V
U162
tt
tt
U171
tt
V1
V2
U172
isNat
V1
V2
U172
tt
V2
U173
isNat
V2
U173
tt
tt
U181
tt
V1
V2
U182
isNat
V1
V2
U182
tt
V2
U183
isNat
V2
U183
tt
tt
U191
tt
V1
V2
U192
isNat
V1
V2
U192
tt
V2
U193
isNat
V2
U193
tt
tt
U201
tt
V1
V2
U202
isNat
V1
V2
U202
tt
V2
U203
isNat
V2
U203
tt
tt
U21
tt
M
N
s_
_+_
N
_+_
M
_*_
N
M
U211
tt
V1
U212
isNzNat
V1
U212
tt
tt
U221
tt
V1
V2
U222
isNat
V1
V2
U222
tt
V2
U223
isNzNat
V2
U223
tt
tt
U231
tt
V1
V2
U232
isNzNat
V1
V2
U232
tt
V2
U233
isNzNat
V2
U233
tt
tt
U241
tt
V1
V2
U242
isNzNat
V1
V2
U242
tt
V2
U243
isNzNat
V2
U243
tt
tt
U251
tt
V1
U252
isNat
V1
U252
tt
tt
U261
tt
N
N
U271
tt
s_
0
U281
tt
M'
N
U282
equal
_>_
M'
N
true
U282
tt
0
U291
tt
M'
N
U292
equal
_>_
N
M'
true
M'
N
U292
tt
M'
N
s_
quot
d
N
M'
M'
U31
tt
N
N
U41
tt
M
N
s_
s_
_+_
N
M
U51
tt
M
N
_>_
M
N
U61
tt
false
U71
tt
true
U81
tt
M
N
_>_
N
M
U91
tt
N
N
_*_
N
0
U11
and
isNat
N
isNatKind
N
_*_
s_
N
s_
M
U21
and
and
isNat
M
isNatKind
M
and
isNat
N
isNatKind
N
M
N
_+_
N
0
U31
and
isNat
N
isNatKind
N
N
_+_
s_
N
s_
M
U41
and
and
isNat
M
isNatKind
M
and
isNat
N
isNatKind
N
M
N
_<_
N
M
U51
and
and
isNat
M
isNatKind
M
and
isNat
N
isNatKind
N
M
N
_>_
0
M
U61
and
isNat
M
isNatKind
M
_>_
N'
0
U71
and
isNzNat
N'
isNatKind
N'
_>_
s_
N
s_
M
U81
and
and
isNat
M
isNatKind
M
and
isNat
N
isNatKind
N
M
N
and
tt
X
X
d
0
N
U91
and
isNat
N
isNatKind
N
N
d
s_
N
s_
M
U101
and
and
isNat
M
isNatKind
M
and
isNat
N
isNatKind
N
M
N
equal
X
X
tt
gcd
0
N
U111
and
isNat
N
isNatKind
N
gcd
N'
M'
U121
and
and
isNzNat
M'
isNatKind
M'
and
isNzNat
N'
isNatKind
N'
M'
N'
gcd
N'
N'
U131
and
isNzNat
N'
isNatKind
N'
N'
isBoolean
false
tt
isBoolean
true
tt
isBoolean
_<_
V1
V2
U141
and
isNatKind
V1
isNatKind
V2
V1
V2
isBoolean
_>_
V1
V2
U151
and
isNatKind
V1
isNatKind
V2
V1
V2
isBooleanKind
false
tt
isBooleanKind
true
tt
isBooleanKind
_<_
V1
V2
and
isNatKind
V1
isNatKind
V2
isBooleanKind
_>_
V1
V2
and
isNatKind
V1
isNatKind
V2
isNat
0
tt
isNat
V
U161
isNatKind
V
V
isNat
_*_
V1
V2
U171
and
isNatKind
V1
isNatKind
V2
V1
V2
isNat
_+_
V1
V2
U181
and
isNatKind
V1
isNatKind
V2
V1
V2
isNat
d
V1
V2
U191
and
isNatKind
V1
isNatKind
V2
V1
V2
isNat
gcd
V1
V2
U201
and
isNatKind
V1
isNatKind
V2
V1
V2
isNat
p_
V1
U211
isNatKind
V1
V1
isNat
quot
V1
V2
U221
and
isNatKind
V1
isNatKind
V2
V1
V2
isNatKind
0
tt
isNatKind
1
tt
isNatKind
2
tt
isNatKind
3
tt
isNatKind
4
tt
isNatKind
5
tt
isNatKind
6
tt
isNatKind
7
tt
isNatKind
_*_
V1
V2
and
isNatKind
V1
isNatKind
V2
isNatKind
_+_
V1
V2
and
isNatKind
V1
isNatKind
V2
isNatKind
d
V1
V2
and
isNatKind
V1
isNatKind
V2
isNatKind
gcd
V1
V2
and
isNatKind
V1
isNatKind
V2
isNatKind
p_
V1
isNatKind
V1
isNatKind
quot
V1
V2
and
isNatKind
V1
isNatKind
V2
isNatKind
s_
V1
isNatKind
V1
isNzNat
1
tt
isNzNat
2
tt
isNzNat
3
tt
isNzNat
4
tt
isNzNat
5
tt
isNzNat
6
tt
isNzNat
7
tt
isNzNat
_*_
V1
V2
U231
and
isNatKind
V1
isNatKind
V2
V1
V2
isNzNat
gcd
V1
V2
U241
and
isNatKind
V1
isNatKind
V2
V1
V2
isNzNat
s_
V1
U251
isNatKind
V1
V1
p_
s_
N
U261
and
isNat
N
isNatKind
N
N
quot
M'
M'
U271
and
isNzNat
M'
isNatKind
M'
quot
N
M'
U281
and
and
isNzNat
M'
isNatKind
M'
and
isNat
N
isNatKind
N
M'
N
quot
N
M'
U291
and
and
isNzNat
M'
isNatKind
M'
and
isNat
N
isNatKind
N
M'
N
1
0
s_
1
0
0
2
0
3
0
4
0
5
0
6
0
7
0
U101
3
tt
0
d
2
C
U11
1
U111
1
U121
3
U122
3
equal
2
_>_
2
true
0
gcd
2
C
U131
2
U141
3
U142
2
isNat
1
U143
1
U151
3
U152
2
U153
1
U161
2
U162
1
isNzNat
1
U171
3
U172
2
U173
1
U181
3
U182
2
U183
1
U191
3
U192
2
U193
1
U201
3
U202
2
U203
1
U21
3
_+_
2
C
_*_
2
C
U211
2
U212
1
U221
3
U222
2
U223
1
U231
3
U232
2
U233
1
U241
3
U242
2
U243
1
U251
2
U252
1
U261
2
U271
1
U281
3
U282
1
U291
3
U292
3
quot
2
U31
2
U41
3
U51
3
U61
1
false
0
U71
1
U81
3
U91
2
and
2
isNatKind
1
_<_
2
isBoolean
1
isBooleanKind
1
p_
1
FULL
./TRS/CSR_Maude/peano/PEANO-NAT_complete.trs