Problem Transformed CSR 04 Ex1 Luc04b GM

Tool Bounds

Execution Time	60.03761ms
Answer	TIMEOUT
Input	Transformed CSR 04 Ex1 Luc04b GM

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  a__tail(X) -> tail(X)
     , a__head(X) -> head(X)
     , a__odds() -> odds()
     , a__pairs() -> pairs()
     , a__incr(X) -> incr(X)
     , a__nats() -> nats()
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(odds()) -> a__odds()
     , mark(pairs()) -> a__pairs()
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(nats()) -> a__nats()
     , a__tail(cons(X, XS)) -> mark(XS)
     , a__head(cons(X, XS)) -> mark(X)
     , a__incr(cons(X, XS)) -> cons(s(mark(X)), incr(XS))
     , a__odds() -> a__incr(a__pairs())
     , a__pairs() -> cons(0(), incr(odds()))
     , a__nats() -> cons(0(), incr(nats()))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	5.06826ms
Answer	MAYBE
Input	Transformed CSR 04 Ex1 Luc04b GM

stdout:

MAYBE

Statistics:
Number of monomials: 1231
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	60.03731ms
Answer	TIMEOUT
Input	Transformed CSR 04 Ex1 Luc04b GM

stdout:

Tool IDA

Execution Time	25.478003ms
Answer	MAYBE
Input	Transformed CSR 04 Ex1 Luc04b GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__tail(X) -> tail(X)
     , a__head(X) -> head(X)
     , a__odds() -> odds()
     , a__pairs() -> pairs()
     , a__incr(X) -> incr(X)
     , a__nats() -> nats()
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(odds()) -> a__odds()
     , mark(pairs()) -> a__pairs()
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(nats()) -> a__nats()
     , a__tail(cons(X, XS)) -> mark(XS)
     , a__head(cons(X, XS)) -> mark(X)
     , a__incr(cons(X, XS)) -> cons(s(mark(X)), incr(XS))
     , a__odds() -> a__incr(a__pairs())
     , a__pairs() -> cons(0(), incr(odds()))
     , a__nats() -> cons(0(), incr(nats()))}
  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	35.30908ms
Answer	MAYBE
Input	Transformed CSR 04 Ex1 Luc04b GM

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  a__tail(X) -> tail(X)
     , a__head(X) -> head(X)
     , a__odds() -> odds()
     , a__pairs() -> pairs()
     , a__incr(X) -> incr(X)
     , a__nats() -> nats()
     , mark(s(X)) -> s(mark(X))
     , mark(0()) -> 0()
     , mark(cons(X1, X2)) -> cons(mark(X1), X2)
     , mark(tail(X)) -> a__tail(mark(X))
     , mark(head(X)) -> a__head(mark(X))
     , mark(odds()) -> a__odds()
     , mark(pairs()) -> a__pairs()
     , mark(incr(X)) -> a__incr(mark(X))
     , mark(nats()) -> a__nats()
     , a__tail(cons(X, XS)) -> mark(XS)
     , a__head(cons(X, XS)) -> mark(X)
     , a__incr(cons(X, XS)) -> cons(s(mark(X)), incr(XS))
     , a__odds() -> a__incr(a__pairs())
     , a__pairs() -> cons(0(), incr(odds()))
     , a__nats() -> cons(0(), incr(nats()))}
  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	0.30125618ms
Answer	MAYBE
Input	Transformed CSR 04 Ex1 Luc04b GM