Problem Transformed CSR 04 ExIntrod GM01 GM

Tool Bounds

Execution Time	60.116364ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  a__tail(X) -> tail(X)
     , a__head(X) -> head(X)
     , a__zeros() -> zeros()
     , a__nats() -> nats()
     , a__adx(X) -> adx(X)
     , a__incr(X) -> incr(X)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(nil()) -> nil()
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(zeros()) -> a__zeros()
     , mark(nats()) -> a__nats()
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(incr(X)) -> a__incr(mark(X))
     , a__tail(cons(X, L)) -> mark(L)
     , a__head(cons(X, L)) -> mark(X)
     , a__zeros() -> cons(0(), zeros())
     , a__nats() -> a__adx(a__zeros())
     , a__adx(cons(X, L)) -> a__incr(cons(mark(X), adx(L)))
     , a__adx(nil()) -> nil()
     , a__incr(cons(X, L)) -> cons(s(mark(X)), incr(L))
     , a__incr(nil()) -> nil()}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	8.750282ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

MAYBE

Statistics:
Number of monomials: 1693
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	60.04103ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

Tool IDA

Execution Time	33.12443ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__tail(X) -> tail(X)
     , a__head(X) -> head(X)
     , a__zeros() -> zeros()
     , a__nats() -> nats()
     , a__adx(X) -> adx(X)
     , a__incr(X) -> incr(X)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(nil()) -> nil()
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(zeros()) -> a__zeros()
     , mark(nats()) -> a__nats()
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(incr(X)) -> a__incr(mark(X))
     , a__tail(cons(X, L)) -> mark(L)
     , a__head(cons(X, L)) -> mark(X)
     , a__zeros() -> cons(0(), zeros())
     , a__nats() -> a__adx(a__zeros())
     , a__adx(cons(X, L)) -> a__incr(cons(mark(X), adx(L)))
     , a__adx(nil()) -> nil()
     , a__incr(cons(X, L)) -> cons(s(mark(X)), incr(L))
     , a__incr(nil()) -> nil()}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    2) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    3) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    4) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    5) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    6) 'matrix-interpretation of dimension 1' failed due to the following reason:
         The input cannot be shown compatible


Arrrr..

Tool TRI

Execution Time	10.7198305ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM01 GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__tail(X) -> tail(X)
     , a__head(X) -> head(X)
     , a__zeros() -> zeros()
     , a__nats() -> nats()
     , a__adx(X) -> adx(X)
     , a__incr(X) -> incr(X)
     , mark(0()) -> 0()
     , mark(s(X)) -> s(mark(X))
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(nil()) -> nil()
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(zeros()) -> a__zeros()
     , mark(nats()) -> a__nats()
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(incr(X)) -> a__incr(mark(X))
     , a__tail(cons(X, L)) -> mark(L)
     , a__head(cons(X, L)) -> mark(X)
     , a__zeros() -> cons(0(), zeros())
     , a__nats() -> a__adx(a__zeros())
     , a__adx(cons(X, L)) -> a__incr(cons(mark(X), adx(L)))
     , a__adx(nil()) -> nil()
     , a__incr(cons(X, L)) -> cons(s(mark(X)), incr(L))
     , a__incr(nil()) -> nil()}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'matrix-interpretation of dimension 6' failed due to the following reason:
         The input cannot be shown compatible

    2) 'matrix-interpretation of dimension 5' failed due to the following reason:
         The input cannot be shown compatible

    3) 'matrix-interpretation of dimension 4' failed due to the following reason:
         The input cannot be shown compatible

    4) 'matrix-interpretation of dimension 3' failed due to the following reason:
         The input cannot be shown compatible

    5) 'matrix-interpretation of dimension 2' failed due to the following reason:
         The input cannot be shown compatible

    6) 'matrix-interpretation of dimension 1' failed due to the following reason:
         The input cannot be shown compatible


Arrrr..

Tool TRI2

Execution Time	0.37734008ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM01 GM