Problem ICFP 2010 48262

Tool Bounds

Execution Time60.302208ms
Answer
TIMEOUT
InputICFP 2010 48262

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time60.061375ms
Answer
TIMEOUT
InputICFP 2010 48262

stdout:

TIMEOUT

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

Tool EDA

Execution Time60.2546ms
Answer
TIMEOUT
InputICFP 2010 48262

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time61.759117ms
Answer
TIMEOUT
InputICFP 2010 48262

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI

Execution Time61.456093ms
Answer
TIMEOUT
InputICFP 2010 48262

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI2

Execution Time60.27665ms
Answer
TIMEOUT
InputICFP 2010 48262

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..