Problem Transformed CSR 04 ExIntrod GM04 C

Tool Bounds

Execution Time	60.06743ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM04 C

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  top(ok(X)) -> top(active(X))
     , top(mark(X)) -> top(proper(X))
     , tl(ok(X)) -> ok(tl(X))
     , hd(ok(X)) -> ok(hd(X))
     , s(ok(X)) -> ok(s(X))
     , incr(ok(X)) -> ok(incr(X))
     , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
     , adx(ok(X)) -> ok(adx(X))
     , proper(tl(X)) -> tl(proper(X))
     , proper(hd(X)) -> hd(proper(X))
     , proper(s(X)) -> s(proper(X))
     , proper(incr(X)) -> incr(proper(X))
     , proper(0()) -> ok(0())
     , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
     , proper(zeros()) -> ok(zeros())
     , proper(adx(X)) -> adx(proper(X))
     , proper(nats()) -> ok(nats())
     , tl(mark(X)) -> mark(tl(X))
     , hd(mark(X)) -> mark(hd(X))
     , incr(mark(X)) -> mark(incr(X))
     , adx(mark(X)) -> mark(adx(X))
     , active(tl(X)) -> tl(active(X))
     , active(hd(X)) -> hd(active(X))
     , active(incr(X)) -> incr(active(X))
     , active(adx(X)) -> adx(active(X))
     , active(tl(cons(X, Y))) -> mark(Y)
     , active(hd(cons(X, Y))) -> mark(X)
     , active(adx(cons(X, Y))) -> mark(incr(cons(X, adx(Y))))
     , active(incr(cons(X, Y))) -> mark(cons(s(X), incr(Y)))
     , active(zeros()) -> mark(cons(0(), zeros()))
     , active(nats()) -> mark(adx(zeros()))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time	60.044556ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM04 C

stdout:

TIMEOUT

Statistics:
Number of monomials: 5025
Last formula building started for bound 3
Last SAT solving started for bound 3

Tool EDA

Execution Time	60.07067ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM04 C

stdout:

Tool IDA

Execution Time	60.063934ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM04 C

stdout:

Tool TRI

Execution Time	60.056038ms
Answer	TIMEOUT
Input	Transformed CSR 04 ExIntrod GM04 C

stdout:

Tool TRI2

Execution Time	0.8451252ms
Answer	MAYBE
Input	Transformed CSR 04 ExIntrod GM04 C

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  top(ok(X)) -> top(active(X))
     , top(mark(X)) -> top(proper(X))
     , tl(ok(X)) -> ok(tl(X))
     , hd(ok(X)) -> ok(hd(X))
     , s(ok(X)) -> ok(s(X))
     , incr(ok(X)) -> ok(incr(X))
     , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
     , adx(ok(X)) -> ok(adx(X))
     , proper(tl(X)) -> tl(proper(X))
     , proper(hd(X)) -> hd(proper(X))
     , proper(s(X)) -> s(proper(X))
     , proper(incr(X)) -> incr(proper(X))
     , proper(0()) -> ok(0())
     , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
     , proper(zeros()) -> ok(zeros())
     , proper(adx(X)) -> adx(proper(X))
     , proper(nats()) -> ok(nats())
     , tl(mark(X)) -> mark(tl(X))
     , hd(mark(X)) -> mark(hd(X))
     , incr(mark(X)) -> mark(incr(X))
     , adx(mark(X)) -> mark(adx(X))
     , active(tl(X)) -> tl(active(X))
     , active(hd(X)) -> hd(active(X))
     , active(incr(X)) -> incr(active(X))
     , active(adx(X)) -> adx(active(X))
     , active(tl(cons(X, Y))) -> mark(Y)
     , active(hd(cons(X, Y))) -> mark(X)
     , active(adx(cons(X, Y))) -> mark(incr(cons(X, adx(Y))))
     , active(incr(cons(X, Y))) -> mark(cons(s(X), incr(Y)))
     , active(zeros()) -> mark(cons(0(), zeros()))
     , active(nats()) -> mark(adx(zeros()))}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..