intersect'ii'in
cons
X
X0
cons
X
X1
intersect'ii'out
intersect'ii'in
Xs
cons
X0
Ys
u'1'1
intersect'ii'in
Xs
Ys
u'1'1
intersect'ii'out
intersect'ii'out
intersect'ii'in
cons
X0
Xs
Ys
u'2'1
intersect'ii'in
Xs
Ys
u'2'1
intersect'ii'out
intersect'ii'out
reduce'ii'in
sequent
cons
if
A
B
Fs
Gs
NF
u'3'1
reduce'ii'in
sequent
cons
x'2b
x'2d
B
A
Fs
Gs
NF
u'3'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
cons
iff
A
B
Fs
Gs
NF
u'4'1
reduce'ii'in
sequent
cons
x'2a
if
A
B
if
B
A
Fs
Gs
NF
u'4'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
cons
x'2a
F1
F2
Fs
Gs
NF
u'5'1
reduce'ii'in
sequent
cons
F1
cons
F2
Fs
Gs
NF
u'5'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
cons
x'2b
F1
F2
Fs
Gs
NF
u'6'1
reduce'ii'in
sequent
cons
F1
Fs
Gs
NF
F2
Fs
Gs
NF
u'6'1
reduce'ii'out
F2
Fs
Gs
NF
u'6'2
reduce'ii'in
sequent
cons
F2
Fs
Gs
NF
u'6'2
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
cons
x'2d
F1
Fs
Gs
NF
u'7'1
reduce'ii'in
sequent
Fs
cons
F1
Gs
NF
u'7'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
Fs
cons
if
A
B
Gs
NF
u'8'1
reduce'ii'in
sequent
Fs
cons
x'2b
x'2d
B
A
Gs
NF
u'8'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
Fs
cons
iff
A
B
Gs
NF
u'9'1
reduce'ii'in
sequent
Fs
cons
x'2a
if
A
B
if
B
A
Gs
NF
u'9'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
cons
p
V
Fs
Gs
sequent
Left
Right
u'10'1
reduce'ii'in
sequent
Fs
Gs
sequent
cons
p
V
Left
Right
u'10'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
Fs
cons
x'2b
G1
G2
Gs
NF
u'11'1
reduce'ii'in
sequent
Fs
cons
G1
cons
G2
Gs
NF
u'11'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
Fs
cons
x'2a
G1
G2
Gs
NF
u'12'1
reduce'ii'in
sequent
Fs
cons
G1
Gs
NF
Fs
G2
Gs
NF
u'12'1
reduce'ii'out
Fs
G2
Gs
NF
u'12'2
reduce'ii'in
sequent
Fs
cons
G2
Gs
NF
u'12'2
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
Fs
cons
x'2d
G1
Gs
NF
u'13'1
reduce'ii'in
sequent
cons
G1
Fs
Gs
NF
u'13'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
nil
cons
p
V
Gs
sequent
Left
Right
u'14'1
reduce'ii'in
sequent
nil
Gs
sequent
Left
cons
p
V
Right
u'14'1
reduce'ii'out
reduce'ii'out
reduce'ii'in
sequent
nil
nil
sequent
F1
F2
u'15'1
intersect'ii'in
F1
F2
u'15'1
intersect'ii'out
reduce'ii'out
tautology'i'in
F
u'16'1
reduce'ii'in
sequent
nil
cons
F
nil
sequent
nil
nil
u'16'1
reduce'ii'out
tautology'i'out
intersect'ii'in
2
cons
2
intersect'ii'out
0
u'1'1
1
u'2'1
1
reduce'ii'in
2
sequent
2
if
2
u'3'1
1
x'2b
2
x'2d
1
reduce'ii'out
0
iff
2
u'4'1
1
x'2a
2
u'5'1
1
u'6'1
5
u'6'2
1
u'7'1
1
u'8'1
1
u'9'1
1
p
1
u'10'1
1
u'11'1
1
u'12'1
5
u'12'2
1
u'13'1
1
nil
0
u'14'1
1
u'15'1
1
tautology'i'in
1
u'16'1
1
tautology'i'out
0
FULL
./TRS/secret05/cime5.trs