Problem ICFP 2010 139185

Tool Bounds

Execution Time60.481068ms
Answer
TIMEOUT
InputICFP 2010 139185

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool CDI

Execution Time60.074657ms
Answer
TIMEOUT
InputICFP 2010 139185

stdout:

TIMEOUT

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

Tool EDA

Execution Time60.488003ms
Answer
TIMEOUT
InputICFP 2010 139185

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool IDA

Execution Time60.36275ms
Answer
TIMEOUT
InputICFP 2010 139185

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI

Execution Time60.32303ms
Answer
TIMEOUT
InputICFP 2010 139185

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..

Tool TRI2

Execution Time60.514004ms
Answer
TIMEOUT
InputICFP 2010 139185

stdout:

TIMEOUT

We consider the following Problem:

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

Certificate: TIMEOUT

Proof:
  Computation stopped due to timeout after 60.0 seconds.

Arrrr..