Problem Secret 06 SRS aprove06

Tool Bounds

Execution Time60.06057ms
Answer
TIMEOUT
InputSecret 06 SRS aprove06

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool EDA

Execution Time60.0566ms
Answer
TIMEOUT
InputSecret 06 SRS aprove06

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time60.53251ms
Answer
TIMEOUT
InputSecret 06 SRS aprove06

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI

Execution Time60.06064ms
Answer
TIMEOUT
InputSecret 06 SRS aprove06

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI2

Execution Time12.442458ms
Answer
MAYBE
InputSecret 06 SRS aprove06

stdout:

MAYBE

We consider the following Problem:

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

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..