Problem Secret 07 TRS secret4

Tool CaT

Execution Time	Unknown
Answer	MAYBE
Input	Secret 07 TRS secret4

stdout:

MAYBE

Problem:
a(h(),h(),h(),x) -> s(x)
a(l,x,s(y),h()) -> a(l,x,y,s(h()))
a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z))
a(l,s(x),h(),z) -> a(l,x,z,z)
a(s(l),h(),h(),z) -> a(l,z,h(),z)
+(x,h()) -> x
+(h(),x) -> x
+(s(x),s(y)) -> s(s(+(x,y)))
+(+(x,y),z) -> +(x,+(y,z))
s(h()) -> 1()
app(nil(),k) -> k
app(l,nil()) -> l
app(cons(x,l),k) -> cons(x,app(l,k))
sum(cons(x,nil())) -> cons(x,nil())
sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h(),h()),l))

Proof:
Open

Tool IRC1

Execution Time	Unknown
Answer	MAYBE
Input	Secret 07 TRS secret4

stdout:

MAYBE

Tool IRC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Secret 07 TRS secret4

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  a(h(), h(), h(), x) -> s(x)
     , a(l, x, s(y), h()) -> a(l, x, y, s(h()))
     , a(l, x, s(y), s(z)) -> a(l, x, y, a(l, x, s(y), z))
     , a(l, s(x), h(), z) -> a(l, x, z, z)
     , a(s(l), h(), h(), z) -> a(l, z, h(), z)
     , +(x, h()) -> x
     , +(h(), x) -> x
     , +(s(x), s(y)) -> s(s(+(x, y)))
     , +(+(x, y), z) -> +(x, +(y, z))
     , s(h()) -> 1()
     , app(nil(), k) -> k
     , app(l, nil()) -> l
     , app(cons(x, l), k) -> cons(x, app(l, k))
     , sum(cons(x, nil())) -> cons(x, nil())
     , sum(cons(x, cons(y, l))) -> sum(cons(a(x, y, h(), h()), l))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution Time	Unknown
Answer	MAYBE
Input	Secret 07 TRS secret4

stdout:

MAYBE

Tool RC2

Execution Time	Unknown
Answer	TIMEOUT
Input	Secret 07 TRS secret4

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  a(h(), h(), h(), x) -> s(x)
     , a(l, x, s(y), h()) -> a(l, x, y, s(h()))
     , a(l, x, s(y), s(z)) -> a(l, x, y, a(l, x, s(y), z))
     , a(l, s(x), h(), z) -> a(l, x, z, z)
     , a(s(l), h(), h(), z) -> a(l, z, h(), z)
     , +(x, h()) -> x
     , +(h(), x) -> x
     , +(s(x), s(y)) -> s(s(+(x, y)))
     , +(+(x, y), z) -> +(x, +(y, z))
     , s(h()) -> 1()
     , app(nil(), k) -> k
     , app(l, nil()) -> l
     , app(cons(x, l), k) -> cons(x, app(l, k))
     , sum(cons(x, nil())) -> cons(x, nil())
     , sum(cons(x, cons(y, l))) -> sum(cons(a(x, y, h(), h()), l))}

Proof Output:
  Computation stopped due to timeout after 60.0 seconds