Problem ICFP 2010 214261

Tool Bounds

Execution Time60.14724ms
Answer
TIMEOUT
InputICFP 2010 214261

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1))))))
     , 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1))))))
     , 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1))))))
     , 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1))))))
     , 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1))))))
     , 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1))))))
     , 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1))))))
     , 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1))))))
     , 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1))))))
     , 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1))))))
     , 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1))))))
     , 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1))))))
     , 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1))))))
     , 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1))))))
     , 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1))))))
     , 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1))))))
     , 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1))))))
     , 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1))))))
     , 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1))))))
     , 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1))))))
     , 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1))))))
     , 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1))))))
     , 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1))))))
     , 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1))))))
     , 4(3(0(1(x1)))) -> 1(4(0(2(3(x1)))))
     , 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1))))))
     , 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1))))))
     , 4(2(5(0(x1)))) -> 4(5(2(3(0(x1)))))
     , 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1))))))
     , 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1))))))
     , 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1))))))
     , 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1))))))
     , 4(0(1(1(x1)))) -> 0(2(4(1(1(x1)))))
     , 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1))))))
     , 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1))))))
     , 5(1(1(x1))) -> 5(3(2(3(1(1(x1))))))
     , 5(1(1(x1))) -> 2(3(1(4(1(5(x1))))))
     , 5(1(0(x1))) -> 5(2(3(3(1(0(x1))))))
     , 5(1(0(x1))) -> 5(2(3(1(0(x1)))))
     , 4(0(1(x1))) -> 0(2(3(4(1(x1)))))
     , 4(0(1(x1))) -> 0(2(2(1(4(x1)))))
     , 4(0(0(x1))) -> 0(2(3(4(0(x1)))))
     , 1(0(1(x1))) -> 2(1(0(2(3(1(x1))))))
     , 1(0(1(x1))) -> 1(0(5(2(3(1(x1))))))
     , 1(0(1(x1))) -> 0(2(1(2(3(1(x1))))))
     , 1(0(0(x1))) -> 0(2(3(1(0(x1)))))
     , 0(0(1(x1))) -> 2(3(1(4(0(0(x1))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time60.048412ms
Answer
TIMEOUT
InputICFP 2010 214261

stdout:

TIMEOUT

Statistics:
Number of monomials: 0
Last formula building started for bound 0
Last SAT solving started for bound 0

Tool EDA

Execution Time60.14902ms
Answer
TIMEOUT
InputICFP 2010 214261

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1))))))
     , 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1))))))
     , 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1))))))
     , 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1))))))
     , 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1))))))
     , 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1))))))
     , 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1))))))
     , 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1))))))
     , 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1))))))
     , 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1))))))
     , 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1))))))
     , 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1))))))
     , 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1))))))
     , 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1))))))
     , 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1))))))
     , 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1))))))
     , 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1))))))
     , 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1))))))
     , 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1))))))
     , 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1))))))
     , 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1))))))
     , 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1))))))
     , 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1))))))
     , 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1))))))
     , 4(3(0(1(x1)))) -> 1(4(0(2(3(x1)))))
     , 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1))))))
     , 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1))))))
     , 4(2(5(0(x1)))) -> 4(5(2(3(0(x1)))))
     , 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1))))))
     , 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1))))))
     , 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1))))))
     , 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1))))))
     , 4(0(1(1(x1)))) -> 0(2(4(1(1(x1)))))
     , 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1))))))
     , 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1))))))
     , 5(1(1(x1))) -> 5(3(2(3(1(1(x1))))))
     , 5(1(1(x1))) -> 2(3(1(4(1(5(x1))))))
     , 5(1(0(x1))) -> 5(2(3(3(1(0(x1))))))
     , 5(1(0(x1))) -> 5(2(3(1(0(x1)))))
     , 4(0(1(x1))) -> 0(2(3(4(1(x1)))))
     , 4(0(1(x1))) -> 0(2(2(1(4(x1)))))
     , 4(0(0(x1))) -> 0(2(3(4(0(x1)))))
     , 1(0(1(x1))) -> 2(1(0(2(3(1(x1))))))
     , 1(0(1(x1))) -> 1(0(5(2(3(1(x1))))))
     , 1(0(1(x1))) -> 0(2(1(2(3(1(x1))))))
     , 1(0(0(x1))) -> 0(2(3(1(0(x1)))))
     , 0(0(1(x1))) -> 2(3(1(4(0(0(x1))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time60.145805ms
Answer
TIMEOUT
InputICFP 2010 214261

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1))))))
     , 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1))))))
     , 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1))))))
     , 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1))))))
     , 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1))))))
     , 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1))))))
     , 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1))))))
     , 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1))))))
     , 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1))))))
     , 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1))))))
     , 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1))))))
     , 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1))))))
     , 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1))))))
     , 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1))))))
     , 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1))))))
     , 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1))))))
     , 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1))))))
     , 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1))))))
     , 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1))))))
     , 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1))))))
     , 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1))))))
     , 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1))))))
     , 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1))))))
     , 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1))))))
     , 4(3(0(1(x1)))) -> 1(4(0(2(3(x1)))))
     , 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1))))))
     , 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1))))))
     , 4(2(5(0(x1)))) -> 4(5(2(3(0(x1)))))
     , 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1))))))
     , 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1))))))
     , 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1))))))
     , 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1))))))
     , 4(0(1(1(x1)))) -> 0(2(4(1(1(x1)))))
     , 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1))))))
     , 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1))))))
     , 5(1(1(x1))) -> 5(3(2(3(1(1(x1))))))
     , 5(1(1(x1))) -> 2(3(1(4(1(5(x1))))))
     , 5(1(0(x1))) -> 5(2(3(3(1(0(x1))))))
     , 5(1(0(x1))) -> 5(2(3(1(0(x1)))))
     , 4(0(1(x1))) -> 0(2(3(4(1(x1)))))
     , 4(0(1(x1))) -> 0(2(2(1(4(x1)))))
     , 4(0(0(x1))) -> 0(2(3(4(0(x1)))))
     , 1(0(1(x1))) -> 2(1(0(2(3(1(x1))))))
     , 1(0(1(x1))) -> 1(0(5(2(3(1(x1))))))
     , 1(0(1(x1))) -> 0(2(1(2(3(1(x1))))))
     , 1(0(0(x1))) -> 0(2(3(1(0(x1)))))
     , 0(0(1(x1))) -> 2(3(1(4(0(0(x1))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI

Execution Time60.106182ms
Answer
TIMEOUT
InputICFP 2010 214261

stdout:

TIMEOUT

We consider the following Problem:

  Strict Trs:
    {  5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1))))))
     , 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1))))))
     , 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1))))))
     , 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1))))))
     , 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1))))))
     , 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1))))))
     , 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1))))))
     , 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1))))))
     , 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1))))))
     , 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1))))))
     , 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1))))))
     , 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1))))))
     , 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1))))))
     , 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1))))))
     , 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1))))))
     , 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1))))))
     , 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1))))))
     , 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1))))))
     , 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1))))))
     , 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1))))))
     , 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1))))))
     , 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1))))))
     , 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1))))))
     , 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1))))))
     , 4(3(0(1(x1)))) -> 1(4(0(2(3(x1)))))
     , 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1))))))
     , 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1))))))
     , 4(2(5(0(x1)))) -> 4(5(2(3(0(x1)))))
     , 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1))))))
     , 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1))))))
     , 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1))))))
     , 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1))))))
     , 4(0(1(1(x1)))) -> 0(2(4(1(1(x1)))))
     , 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1))))))
     , 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1))))))
     , 5(1(1(x1))) -> 5(3(2(3(1(1(x1))))))
     , 5(1(1(x1))) -> 2(3(1(4(1(5(x1))))))
     , 5(1(0(x1))) -> 5(2(3(3(1(0(x1))))))
     , 5(1(0(x1))) -> 5(2(3(1(0(x1)))))
     , 4(0(1(x1))) -> 0(2(3(4(1(x1)))))
     , 4(0(1(x1))) -> 0(2(2(1(4(x1)))))
     , 4(0(0(x1))) -> 0(2(3(4(0(x1)))))
     , 1(0(1(x1))) -> 2(1(0(2(3(1(x1))))))
     , 1(0(1(x1))) -> 1(0(5(2(3(1(x1))))))
     , 1(0(1(x1))) -> 0(2(1(2(3(1(x1))))))
     , 1(0(0(x1))) -> 0(2(3(1(0(x1)))))
     , 0(0(1(x1))) -> 2(3(1(4(0(0(x1))))))}
  StartTerms: all
  Strategy: none

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI2

Execution Time23.788025ms
Answer
MAYBE
InputICFP 2010 214261

stdout:

MAYBE

We consider the following Problem:

  Strict Trs:
    {  5(1(4(3(1(x1))))) -> 5(3(2(4(1(1(x1))))))
     , 4(5(1(3(1(x1))))) -> 4(1(3(5(4(1(x1))))))
     , 4(3(2(5(0(x1))))) -> 0(4(2(3(4(5(x1))))))
     , 4(3(0(0(1(x1))))) -> 2(4(3(1(0(0(x1))))))
     , 4(2(5(3(1(x1))))) -> 2(3(1(5(4(2(x1))))))
     , 4(2(5(3(0(x1))))) -> 5(2(4(3(1(0(x1))))))
     , 4(2(5(3(0(x1))))) -> 4(0(2(5(2(3(x1))))))
     , 4(2(5(0(0(x1))))) -> 5(2(3(4(0(0(x1))))))
     , 4(2(5(0(0(x1))))) -> 0(5(2(0(4(4(x1))))))
     , 4(0(3(1(5(x1))))) -> 4(4(3(5(0(1(x1))))))
     , 1(3(0(4(0(x1))))) -> 0(2(3(1(4(0(x1))))))
     , 1(2(5(3(0(x1))))) -> 1(4(2(3(5(0(x1))))))
     , 1(2(4(5(1(x1))))) -> 1(4(1(5(2(3(x1))))))
     , 1(0(4(1(5(x1))))) -> 4(1(2(1(5(0(x1))))))
     , 0(5(1(3(0(x1))))) -> 2(1(3(5(0(0(x1))))))
     , 0(5(1(1(5(x1))))) -> 0(1(2(1(5(5(x1))))))
     , 0(4(3(5(1(x1))))) -> 2(4(3(1(0(5(x1))))))
     , 0(3(0(5(1(x1))))) -> 2(1(5(3(0(0(x1))))))
     , 0(2(5(5(1(x1))))) -> 0(2(1(5(4(5(x1))))))
     , 0(2(5(3(1(x1))))) -> 2(0(5(4(1(3(x1))))))
     , 0(1(3(0(0(x1))))) -> 2(3(1(0(0(0(x1))))))
     , 0(0(1(2(5(x1))))) -> 2(3(1(5(0(0(x1))))))
     , 5(1(1(1(x1)))) -> 2(2(1(1(5(1(x1))))))
     , 4(3(0(1(x1)))) -> 3(0(2(2(4(1(x1))))))
     , 4(3(0(1(x1)))) -> 1(4(0(2(3(x1)))))
     , 4(3(0(0(x1)))) -> 0(2(3(4(3(0(x1))))))
     , 4(2(5(0(x1)))) -> 4(0(2(3(5(4(x1))))))
     , 4(2(5(0(x1)))) -> 4(5(2(3(0(x1)))))
     , 4(0(3(5(x1)))) -> 0(2(3(4(1(5(x1))))))
     , 4(0(3(0(x1)))) -> 0(2(3(0(4(5(x1))))))
     , 4(0(1(5(x1)))) -> 5(4(1(3(4(0(x1))))))
     , 4(0(1(5(x1)))) -> 5(0(2(3(1(4(x1))))))
     , 4(0(1(1(x1)))) -> 0(2(4(1(1(x1)))))
     , 1(2(5(1(x1)))) -> 5(4(2(3(1(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(4(1(2(3(1(x1))))))
     , 1(0(3(1(x1)))) -> 0(1(2(3(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(2(1(3(x1))))))
     , 0(0(3(0(x1)))) -> 4(0(0(2(3(0(x1))))))
     , 5(1(1(x1))) -> 5(3(2(3(1(1(x1))))))
     , 5(1(1(x1))) -> 2(3(1(4(1(5(x1))))))
     , 5(1(0(x1))) -> 5(2(3(3(1(0(x1))))))
     , 5(1(0(x1))) -> 5(2(3(1(0(x1)))))
     , 4(0(1(x1))) -> 0(2(3(4(1(x1)))))
     , 4(0(1(x1))) -> 0(2(2(1(4(x1)))))
     , 4(0(0(x1))) -> 0(2(3(4(0(x1)))))
     , 1(0(1(x1))) -> 2(1(0(2(3(1(x1))))))
     , 1(0(1(x1))) -> 1(0(5(2(3(1(x1))))))
     , 1(0(1(x1))) -> 0(2(1(2(3(1(x1))))))
     , 1(0(0(x1))) -> 0(2(3(1(0(x1)))))
     , 0(0(1(x1))) -> 2(3(1(4(0(0(x1))))))}
  StartTerms: all
  Strategy: none

Certificate: MAYBE

Proof:
  The input cannot be shown compatible

Arrrr..