Problem Secret 06 SRS aprove05

Tool Bounds

Execution Time60.06929ms
Answer
TIMEOUT
InputSecret 06 SRS aprove05

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  0(x1) -> x1
     , p(0(x1)) -> 0(s(s(s(s(p(s(x1)))))))
     , p(s(x1)) -> x1
     , p(p(s(x1))) -> p(x1)
     , twice(s(x1)) ->
       s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1)))))))))))))))))))
     , twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1)))))))))))))
     , twoto(s(x1)) ->
       p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1))))))))))))))))))))))))))
     , twoto(0(x1)) ->
       p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1))))))))))))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool EDA

Execution Time60.056587ms
Answer
TIMEOUT
InputSecret 06 SRS aprove05

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  0(x1) -> x1
     , p(0(x1)) -> 0(s(s(s(s(p(s(x1)))))))
     , p(s(x1)) -> x1
     , p(p(s(x1))) -> p(x1)
     , twice(s(x1)) ->
       s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1)))))))))))))))))))
     , twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1)))))))))))))
     , twoto(s(x1)) ->
       p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1))))))))))))))))))))))))))
     , twoto(0(x1)) ->
       p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1))))))))))))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time60.06112ms
Answer
TIMEOUT
InputSecret 06 SRS aprove05

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  0(x1) -> x1
     , p(0(x1)) -> 0(s(s(s(s(p(s(x1)))))))
     , p(s(x1)) -> x1
     , p(p(s(x1))) -> p(x1)
     , twice(s(x1)) ->
       s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1)))))))))))))))))))
     , twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1)))))))))))))
     , twoto(s(x1)) ->
       p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1))))))))))))))))))))))))))
     , twoto(0(x1)) ->
       p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1))))))))))))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI

Execution Time60.047623ms
Answer
TIMEOUT
InputSecret 06 SRS aprove05

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  0(x1) -> x1
     , p(0(x1)) -> 0(s(s(s(s(p(s(x1)))))))
     , p(s(x1)) -> x1
     , p(p(s(x1))) -> p(x1)
     , twice(s(x1)) ->
       s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1)))))))))))))))))))
     , twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1)))))))))))))
     , twoto(s(x1)) ->
       p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1))))))))))))))))))))))))))
     , twoto(0(x1)) ->
       p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1))))))))))))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI2

Execution Time14.337167ms
Answer
MAYBE
InputSecret 06 SRS aprove05

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  0(x1) -> x1
     , p(0(x1)) -> 0(s(s(s(s(p(s(x1)))))))
     , p(s(x1)) -> x1
     , p(p(s(x1))) -> p(x1)
     , twice(s(x1)) ->
       s(p(p(p(p(s(s(s(s(s(twice(p(s(p(s(p(s(p(s(x1)))))))))))))))))))
     , twice(0(x1)) -> p(s(p(s(0(s(p(s(s(s(s(p(s(x1)))))))))))))
     , twoto(s(x1)) ->
       p(p(s(s(p(p(p(s(s(s(twice(p(p(s(s(p(p(p(s(s(s(twoto(p(s(p(s(x1))))))))))))))))))))))))))
     , twoto(0(x1)) ->
       p(p(s(s(s(p(p(p(s(s(s(0(p(p(s(s(x1))))))))))))))))}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..