Problem Transformed CSR 04 ExIntrod GM04 GM

Tool Bounds

Execution Time	60.1309ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM04 GM

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  a__tl(X) -> tl(X)
     , a__hd(X) -> hd(X)
     , a__incr(X) -> incr(X)
     , a__zeros() -> zeros()
     , a__adx(X) -> adx(X)
     , a__nats() -> nats()
     , mark(s(X)) -> s(X)
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(X1, X2)
     , mark(tl(X)) -> a__tl(mark(X))
     , mark(hd(X)) -> a__hd(mark(X))
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(zeros()) -> a__zeros()
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(nats()) -> a__nats()
     , a__tl(cons(X, Y)) -> mark(Y)
     , a__hd(cons(X, Y)) -> mark(X)
     , a__adx(cons(X, Y)) -> a__incr(cons(X, adx(Y)))
     , a__incr(cons(X, Y)) -> cons(s(X), incr(Y))
     , a__zeros() -> cons(0(), zeros())
     , a__nats() -> a__adx(a__zeros())}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	1.907789ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM04 GM

stdout:

MAYBE

Statistics:
Number of monomials: 916
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	42.045883ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM04 GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__tl(X) -> tl(X)
     , a__hd(X) -> hd(X)
     , a__incr(X) -> incr(X)
     , a__zeros() -> zeros()
     , a__adx(X) -> adx(X)
     , a__nats() -> nats()
     , mark(s(X)) -> s(X)
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(X1, X2)
     , mark(tl(X)) -> a__tl(mark(X))
     , mark(hd(X)) -> a__hd(mark(X))
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(zeros()) -> a__zeros()
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(nats()) -> a__nats()
     , a__tl(cons(X, Y)) -> mark(Y)
     , a__hd(cons(X, Y)) -> mark(X)
     , a__adx(cons(X, Y)) -> a__incr(cons(X, adx(Y)))
     , a__incr(cons(X, Y)) -> cons(s(X), incr(Y))
     , a__zeros() -> cons(0(), zeros())
     , a__nats() -> a__adx(a__zeros())}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  None of the processors succeeded.

  Details of failed attempt(s):
  -----------------------------
    1) 'matrix-interpretation of dimension 5' failed due to the following reason:
         The input cannot be shown compatible

    2) 'matrix-interpretation of dimension 4' 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 1' failed due to the following reason:
         The input cannot be shown compatible


Arrrr..

Tool IDA

Execution Time	26.396364ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM04 GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__tl(X) -> tl(X)
     , a__hd(X) -> hd(X)
     , a__incr(X) -> incr(X)
     , a__zeros() -> zeros()
     , a__adx(X) -> adx(X)
     , a__nats() -> nats()
     , mark(s(X)) -> s(X)
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(X1, X2)
     , mark(tl(X)) -> a__tl(mark(X))
     , mark(hd(X)) -> a__hd(mark(X))
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(zeros()) -> a__zeros()
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(nats()) -> a__nats()
     , a__tl(cons(X, Y)) -> mark(Y)
     , a__hd(cons(X, Y)) -> mark(X)
     , a__adx(cons(X, Y)) -> a__incr(cons(X, adx(Y)))
     , a__incr(cons(X, Y)) -> cons(s(X), incr(Y))
     , a__zeros() -> cons(0(), zeros())
     , a__nats() -> a__adx(a__zeros())}
  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	9.079206ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM04 GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__tl(X) -> tl(X)
     , a__hd(X) -> hd(X)
     , a__incr(X) -> incr(X)
     , a__zeros() -> zeros()
     , a__adx(X) -> adx(X)
     , a__nats() -> nats()
     , mark(s(X)) -> s(X)
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(X1, X2)
     , mark(tl(X)) -> a__tl(mark(X))
     , mark(hd(X)) -> a__hd(mark(X))
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(zeros()) -> a__zeros()
     , mark(adx(X)) -> a__adx(mark(X))
     , mark(nats()) -> a__nats()
     , a__tl(cons(X, Y)) -> mark(Y)
     , a__hd(cons(X, Y)) -> mark(X)
     , a__adx(cons(X, Y)) -> a__incr(cons(X, adx(Y)))
     , a__incr(cons(X, Y)) -> cons(s(X), incr(Y))
     , a__zeros() -> cons(0(), zeros())
     , a__nats() -> a__adx(a__zeros())}
  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	0.26244807ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM04 GM