Problem ICFP 2010 58194

Tool CaT

Execution TimeUnknown
Answer
MAYBE
InputICFP 2010 58194

stdout:

MAYBE

Problem:
 0(1(0(1(x1)))) -> 0(0(2(1(1(x1)))))
 0(1(0(1(x1)))) -> 0(0(1(2(1(2(x1))))))
 0(1(0(1(x1)))) -> 0(0(1(3(3(1(x1))))))
 0(1(0(1(x1)))) -> 0(0(2(1(4(1(x1))))))
 0(1(0(1(x1)))) -> 0(0(3(4(1(1(x1))))))
 0(1(0(1(x1)))) -> 1(1(3(4(0(0(x1))))))
 0(1(5(1(x1)))) -> 0(1(1(3(5(x1)))))
 0(1(5(1(x1)))) -> 0(1(3(5(1(x1)))))
 0(1(5(1(x1)))) -> 1(1(3(5(0(x1)))))
 0(1(5(1(x1)))) -> 1(3(5(0(1(x1)))))
 0(1(5(1(x1)))) -> 5(0(1(1(3(x1)))))
 0(1(5(1(x1)))) -> 0(1(1(3(5(2(x1))))))
 0(1(5(1(x1)))) -> 0(1(2(2(5(1(x1))))))
 0(1(5(1(x1)))) -> 0(1(3(3(5(1(x1))))))
 0(1(5(1(x1)))) -> 0(1(3(5(0(1(x1))))))
 0(1(5(1(x1)))) -> 0(1(3(5(1(3(x1))))))
 0(1(5(1(x1)))) -> 0(2(1(1(3(5(x1))))))
 0(1(5(1(x1)))) -> 0(3(1(1(3(5(x1))))))
 0(1(5(1(x1)))) -> 1(1(2(0(3(5(x1))))))
 0(1(5(1(x1)))) -> 1(1(3(3(5(0(x1))))))
 0(1(5(1(x1)))) -> 1(1(3(4(5(0(x1))))))
 0(1(5(1(x1)))) -> 1(1(3(5(0(3(x1))))))
 0(1(5(1(x1)))) -> 1(1(4(4(5(0(x1))))))
 0(1(5(1(x1)))) -> 1(2(1(3(5(0(x1))))))
 0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
 0(1(5(1(x1)))) -> 1(3(1(3(5(0(x1))))))
 0(1(5(1(x1)))) -> 1(4(3(5(0(1(x1))))))
 0(1(5(1(x1)))) -> 2(0(1(1(3(5(x1))))))
 0(1(5(1(x1)))) -> 2(1(1(3(5(0(x1))))))
 0(1(5(1(x1)))) -> 4(0(1(3(5(1(x1))))))
 0(1(5(1(x1)))) -> 5(0(1(1(2(2(x1))))))
 0(1(5(1(x1)))) -> 5(0(1(1(3(3(x1))))))
 0(1(5(1(x1)))) -> 5(0(1(3(4(1(x1))))))
 0(1(5(1(x1)))) -> 5(0(2(1(1(3(x1))))))
 0(1(5(1(x1)))) -> 5(1(2(0(2(1(x1))))))
 0(3(0(1(x1)))) -> 0(0(1(2(3(x1)))))
 0(3(0(1(x1)))) -> 0(0(2(1(3(x1)))))
 0(3(0(1(x1)))) -> 0(0(3(4(1(x1)))))
 0(3(0(1(x1)))) -> 0(1(3(4(0(x1)))))
 0(3(0(1(x1)))) -> 0(2(0(1(3(x1)))))
 0(3(0(1(x1)))) -> 0(3(4(0(1(x1)))))
 0(3(0(1(x1)))) -> 1(0(3(4(0(x1)))))
 0(3(0(1(x1)))) -> 4(0(0(1(3(x1)))))
 0(3(0(1(x1)))) -> 0(0(1(2(1(3(x1))))))
 0(3(0(1(x1)))) -> 0(0(1(3(3(3(x1))))))
 0(3(0(1(x1)))) -> 0(0(1(3(4(3(x1))))))
 0(3(0(1(x1)))) -> 0(0(1(3(4(4(x1))))))
 0(3(0(1(x1)))) -> 0(0(1(4(3(3(x1))))))
 0(3(0(1(x1)))) -> 0(0(2(1(1(3(x1))))))
 0(3(0(1(x1)))) -> 0(0(2(3(1(3(x1))))))
 0(3(0(1(x1)))) -> 0(0(3(1(2(1(x1))))))
 0(3(0(1(x1)))) -> 0(0(3(1(2(3(x1))))))
 0(3(0(1(x1)))) -> 0(0(3(1(3(4(x1))))))
 0(3(0(1(x1)))) -> 0(0(3(2(1(2(x1))))))
 0(3(0(1(x1)))) -> 0(0(3(3(2(1(x1))))))
 0(3(0(1(x1)))) -> 0(0(3(4(2(1(x1))))))
 0(3(0(1(x1)))) -> 0(1(2(0(3(3(x1))))))
 0(3(0(1(x1)))) -> 0(1(3(4(4(0(x1))))))
 0(3(0(1(x1)))) -> 0(2(0(2(3(1(x1))))))
 0(3(0(1(x1)))) -> 0(2(1(0(2(3(x1))))))
 0(3(0(1(x1)))) -> 0(2(1(0(3(3(x1))))))
 0(3(0(1(x1)))) -> 0(2(1(3(4(0(x1))))))
 0(3(0(1(x1)))) -> 0(3(1(2(2(0(x1))))))
 0(3(0(1(x1)))) -> 0(3(4(1(0(4(x1))))))
 0(3(0(1(x1)))) -> 0(3(4(2(0(1(x1))))))
 0(3(0(1(x1)))) -> 0(3(4(4(0(1(x1))))))
 0(3(0(1(x1)))) -> 1(0(2(3(4(0(x1))))))
 0(3(0(1(x1)))) -> 1(0(3(2(2(0(x1))))))
 0(3(0(1(x1)))) -> 1(0(3(4(0(3(x1))))))
 0(3(0(1(x1)))) -> 1(2(0(3(4(0(x1))))))
 0(3(0(1(x1)))) -> 1(3(4(0(0(2(x1))))))
 0(3(0(1(x1)))) -> 1(3(4(0(0(4(x1))))))
 0(3(0(1(x1)))) -> 2(0(1(3(4(0(x1))))))
 0(3(0(1(x1)))) -> 2(1(0(3(4(0(x1))))))
 0(3(0(1(x1)))) -> 3(4(0(2(0(1(x1))))))
 0(3(0(1(x1)))) -> 4(0(0(1(3(3(x1))))))
 0(3(0(1(x1)))) -> 4(0(0(1(3(4(x1))))))
 0(3(0(1(x1)))) -> 4(0(1(3(4(0(x1))))))
 0(0(0(5(1(x1))))) -> 3(5(0(0(0(1(x1))))))
 0(0(3(0(1(x1))))) -> 1(3(4(0(0(0(x1))))))
 0(0(5(3(1(x1))))) -> 0(1(3(5(4(0(x1))))))
 0(0(5(3(1(x1))))) -> 0(3(5(0(1(4(x1))))))
 0(0(5(3(1(x1))))) -> 1(1(3(5(0(0(x1))))))
 0(0(5(3(1(x1))))) -> 2(0(3(5(0(1(x1))))))
 0(1(0(5(1(x1))))) -> 0(0(5(1(2(1(x1))))))
 0(1(0(5(1(x1))))) -> 0(1(5(0(1(4(x1))))))
 0(1(0(5(1(x1))))) -> 0(5(0(1(2(1(x1))))))
 0(1(2(5(1(x1))))) -> 0(1(5(4(2(1(x1))))))
 0(1(2(5(1(x1))))) -> 1(1(2(1(5(0(x1))))))
 0(1(2(5(1(x1))))) -> 1(5(0(2(0(1(x1))))))
 0(1(2(5(1(x1))))) -> 1(5(2(4(0(1(x1))))))
 0(1(2(5(1(x1))))) -> 2(5(1(0(2(1(x1))))))
 0(1(2(5(1(x1))))) -> 5(0(1(2(2(1(x1))))))
 0(1(2(5(1(x1))))) -> 5(1(0(2(1(3(x1))))))
 0(1(2(5(1(x1))))) -> 5(3(1(0(2(1(x1))))))
 0(1(3(0(1(x1))))) -> 0(0(3(1(2(1(x1))))))
 0(1(5(3(1(x1))))) -> 0(1(1(3(5(0(x1))))))
 0(1(5(3(1(x1))))) -> 0(4(1(3(5(1(x1))))))
 0(1(5(3(1(x1))))) -> 1(2(0(1(3(5(x1))))))
 0(1(5(3(1(x1))))) -> 3(1(1(3(5(0(x1))))))
 0(1(5(3(1(x1))))) -> 3(5(0(1(2(1(x1))))))
 0(1(5(3(1(x1))))) -> 3(5(0(1(3(1(x1))))))
 0(1(5(3(1(x1))))) -> 4(1(3(5(0(1(x1))))))
 0(1(5(3(1(x1))))) -> 5(0(1(1(3(1(x1))))))
 0(1(5(3(1(x1))))) -> 5(0(3(1(2(1(x1))))))
 0(1(5(4(1(x1))))) -> 0(1(3(5(4(1(x1))))))
 0(1(5(4(1(x1))))) -> 5(0(1(4(2(1(x1))))))
 0(3(0(1(1(x1))))) -> 0(0(2(1(3(1(x1))))))
 0(3(0(3(1(x1))))) -> 0(0(3(3(2(1(x1))))))
 0(3(0(3(1(x1))))) -> 4(0(0(3(3(1(x1))))))
 0(3(0(4(1(x1))))) -> 0(0(1(3(4(1(x1))))))
 0(3(0(4(1(x1))))) -> 0(0(2(1(3(4(x1))))))
 0(3(0(4(1(x1))))) -> 0(1(3(4(0(1(x1))))))
 0(3(0(4(1(x1))))) -> 0(1(3(4(0(2(x1))))))
 0(3(0(4(1(x1))))) -> 1(4(3(4(0(0(x1))))))
 0(3(0(4(1(x1))))) -> 3(4(0(2(0(1(x1))))))
 0(3(0(4(1(x1))))) -> 4(0(0(1(3(4(x1))))))
 0(3(0(5(1(x1))))) -> 0(0(1(2(3(5(x1))))))
 0(3(0(5(1(x1))))) -> 0(1(3(5(0(3(x1))))))
 0(3(0(5(1(x1))))) -> 0(3(5(0(1(4(x1))))))
 0(3(0(5(1(x1))))) -> 0(5(0(3(1(3(x1))))))
 0(3(0(5(1(x1))))) -> 1(3(5(0(0(2(x1))))))
 0(3(1(0(1(x1))))) -> 0(1(3(1(2(0(x1))))))
 0(3(1(0(1(x1))))) -> 0(2(0(1(1(3(x1))))))
 0(3(1(0(1(x1))))) -> 1(1(3(4(0(0(x1))))))
 0(3(1(5(1(x1))))) -> 0(0(3(5(1(1(x1))))))
 0(3(1(5(1(x1))))) -> 0(1(1(3(5(3(x1))))))
 0(3(1(5(1(x1))))) -> 0(1(3(5(3(1(x1))))))
 0(3(1(5(1(x1))))) -> 0(1(5(3(4(1(x1))))))
 0(3(1(5(1(x1))))) -> 0(3(4(1(1(5(x1))))))
 0(3(1(5(1(x1))))) -> 1(0(1(3(5(0(x1))))))
 0(3(1(5(1(x1))))) -> 1(0(1(3(5(3(x1))))))
 0(3(1(5(1(x1))))) -> 1(3(5(1(4(0(x1))))))
 0(3(1(5(1(x1))))) -> 1(4(0(1(3(5(x1))))))
 0(3(1(5(1(x1))))) -> 2(1(0(3(5(1(x1))))))
 0(3(1(5(1(x1))))) -> 2(1(3(5(0(1(x1))))))
 0(3(1(5(1(x1))))) -> 4(3(5(0(1(1(x1))))))
 0(3(2(5(1(x1))))) -> 0(0(5(2(1(3(x1))))))
 0(3(2(5(1(x1))))) -> 0(1(0(3(5(2(x1))))))
 0(3(2(5(1(x1))))) -> 0(1(3(5(2(2(x1))))))
 0(3(2(5(1(x1))))) -> 0(1(3(5(4(2(x1))))))
 0(3(2(5(1(x1))))) -> 0(1(5(2(3(3(x1))))))
 0(3(2(5(1(x1))))) -> 0(2(0(5(1(3(x1))))))
 0(3(2(5(1(x1))))) -> 0(2(1(5(0(3(x1))))))
 0(3(2(5(1(x1))))) -> 0(3(4(2(5(1(x1))))))
 0(3(2(5(1(x1))))) -> 0(4(5(2(1(3(x1))))))
 0(3(2(5(1(x1))))) -> 0(5(2(1(2(3(x1))))))
 0(3(2(5(1(x1))))) -> 1(1(3(5(2(0(x1))))))
 0(3(2(5(1(x1))))) -> 1(3(0(2(3(5(x1))))))
 0(3(2(5(1(x1))))) -> 1(3(5(2(2(0(x1))))))
 0(3(2(5(1(x1))))) -> 1(5(2(0(1(3(x1))))))
 0(3(2(5(1(x1))))) -> 2(0(1(3(5(2(x1))))))
 0(3(2(5(1(x1))))) -> 2(0(4(1(3(5(x1))))))
 0(3(2(5(1(x1))))) -> 2(1(5(0(3(4(x1))))))
 0(3(2(5(1(x1))))) -> 2(5(1(3(0(2(x1))))))
 0(3(2(5(1(x1))))) -> 3(1(0(4(5(2(x1))))))
 0(3(2(5(1(x1))))) -> 3(4(5(2(0(1(x1))))))
 0(3(2(5(1(x1))))) -> 3(5(4(0(2(1(x1))))))
 0(3(2(5(1(x1))))) -> 4(0(1(3(5(2(x1))))))
 0(3(2(5(1(x1))))) -> 4(0(3(5(2(1(x1))))))
 0(3(2(5(1(x1))))) -> 4(1(2(3(5(0(x1))))))
 0(3(2(5(1(x1))))) -> 4(2(0(1(3(5(x1))))))
 0(3(2(5(1(x1))))) -> 5(0(3(1(2(3(x1))))))
 0(3(2(5(1(x1))))) -> 5(2(0(3(2(1(x1))))))
 0(3(2(5(1(x1))))) -> 5(2(0(3(5(1(x1))))))
 0(3(2(5(1(x1))))) -> 5(2(3(0(2(1(x1))))))
 0(4(1(5(1(x1))))) -> 0(1(1(4(3(5(x1))))))
 0(4(1(5(1(x1))))) -> 1(2(1(5(4(0(x1))))))
 0(4(1(5(1(x1))))) -> 1(5(0(4(2(1(x1))))))
 0(5(1(0(1(x1))))) -> 0(0(1(3(5(1(x1))))))
 0(5(1(0(1(x1))))) -> 0(5(0(1(1(2(x1))))))
 0(5(1(0(1(x1))))) -> 0(5(0(1(1(3(x1))))))
 0(5(1(0(1(x1))))) -> 0(5(0(2(1(1(x1))))))
 0(5(1(5(1(x1))))) -> 0(5(1(3(5(1(x1))))))
 0(5(1(5(1(x1))))) -> 1(1(3(5(0(5(x1))))))
 0(5(1(5(1(x1))))) -> 5(1(5(0(2(1(x1))))))
 0(5(3(0(1(x1))))) -> 0(0(3(5(2(1(x1))))))
 0(5(3(0(1(x1))))) -> 0(4(0(3(5(1(x1))))))
 0(5(3(0(1(x1))))) -> 1(0(3(5(2(0(x1))))))
 0(5(3(0(1(x1))))) -> 2(1(0(3(5(0(x1))))))

Proof:
 Open

Tool IRC1

Execution TimeUnknown
Answer
MAYBE
InputICFP 2010 58194

stdout:

MAYBE

Tool IRC2

Execution TimeUnknown
Answer
TIMEOUT
InputICFP 2010 58194

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    innermost runtime-complexity with respect to
  Rules:
    {  0(1(0(1(x1)))) -> 0(0(2(1(1(x1)))))
     , 0(1(0(1(x1)))) -> 0(0(1(2(1(2(x1))))))
     , 0(1(0(1(x1)))) -> 0(0(1(3(3(1(x1))))))
     , 0(1(0(1(x1)))) -> 0(0(2(1(4(1(x1))))))
     , 0(1(0(1(x1)))) -> 0(0(3(4(1(1(x1))))))
     , 0(1(0(1(x1)))) -> 1(1(3(4(0(0(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(1(3(5(x1)))))
     , 0(1(5(1(x1)))) -> 0(1(3(5(1(x1)))))
     , 0(1(5(1(x1)))) -> 1(1(3(5(0(x1)))))
     , 0(1(5(1(x1)))) -> 1(3(5(0(1(x1)))))
     , 0(1(5(1(x1)))) -> 5(0(1(1(3(x1)))))
     , 0(1(5(1(x1)))) -> 0(1(1(3(5(2(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(2(2(5(1(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(3(3(5(1(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(3(5(0(1(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(3(5(1(3(x1))))))
     , 0(1(5(1(x1)))) -> 0(2(1(1(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 0(3(1(1(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(2(0(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(3(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(3(4(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(3(5(0(3(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(4(4(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(2(1(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
     , 0(1(5(1(x1)))) -> 1(3(1(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(4(3(5(0(1(x1))))))
     , 0(1(5(1(x1)))) -> 2(0(1(1(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 2(1(1(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 4(0(1(3(5(1(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(1(1(2(2(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(1(1(3(3(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(1(3(4(1(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(2(1(1(3(x1))))))
     , 0(1(5(1(x1)))) -> 5(1(2(0(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(2(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(0(2(1(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(0(3(4(1(x1)))))
     , 0(3(0(1(x1)))) -> 0(1(3(4(0(x1)))))
     , 0(3(0(1(x1)))) -> 0(2(0(1(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(3(4(0(1(x1)))))
     , 0(3(0(1(x1)))) -> 1(0(3(4(0(x1)))))
     , 0(3(0(1(x1)))) -> 4(0(0(1(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(0(1(2(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(3(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(3(4(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(3(4(4(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(4(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(1(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(3(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(1(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(1(2(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(1(3(4(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(2(1(2(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(3(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(4(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(1(2(0(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(1(3(4(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(0(2(3(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(1(0(2(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(1(0(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(1(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(1(2(2(0(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(4(1(0(4(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(4(2(0(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(4(4(0(1(x1))))))
     , 0(3(0(1(x1)))) -> 1(0(2(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 1(0(3(2(2(0(x1))))))
     , 0(3(0(1(x1)))) -> 1(0(3(4(0(3(x1))))))
     , 0(3(0(1(x1)))) -> 1(2(0(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 1(3(4(0(0(2(x1))))))
     , 0(3(0(1(x1)))) -> 1(3(4(0(0(4(x1))))))
     , 0(3(0(1(x1)))) -> 2(0(1(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 2(1(0(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 3(4(0(2(0(1(x1))))))
     , 0(3(0(1(x1)))) -> 4(0(0(1(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 4(0(0(1(3(4(x1))))))
     , 0(3(0(1(x1)))) -> 4(0(1(3(4(0(x1))))))
     , 0(0(0(5(1(x1))))) -> 3(5(0(0(0(1(x1))))))
     , 0(0(3(0(1(x1))))) -> 1(3(4(0(0(0(x1))))))
     , 0(0(5(3(1(x1))))) -> 0(1(3(5(4(0(x1))))))
     , 0(0(5(3(1(x1))))) -> 0(3(5(0(1(4(x1))))))
     , 0(0(5(3(1(x1))))) -> 1(1(3(5(0(0(x1))))))
     , 0(0(5(3(1(x1))))) -> 2(0(3(5(0(1(x1))))))
     , 0(1(0(5(1(x1))))) -> 0(0(5(1(2(1(x1))))))
     , 0(1(0(5(1(x1))))) -> 0(1(5(0(1(4(x1))))))
     , 0(1(0(5(1(x1))))) -> 0(5(0(1(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 0(1(5(4(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 1(1(2(1(5(0(x1))))))
     , 0(1(2(5(1(x1))))) -> 1(5(0(2(0(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 1(5(2(4(0(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 2(5(1(0(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 5(0(1(2(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 5(1(0(2(1(3(x1))))))
     , 0(1(2(5(1(x1))))) -> 5(3(1(0(2(1(x1))))))
     , 0(1(3(0(1(x1))))) -> 0(0(3(1(2(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 0(1(1(3(5(0(x1))))))
     , 0(1(5(3(1(x1))))) -> 0(4(1(3(5(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 1(2(0(1(3(5(x1))))))
     , 0(1(5(3(1(x1))))) -> 3(1(1(3(5(0(x1))))))
     , 0(1(5(3(1(x1))))) -> 3(5(0(1(2(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 3(5(0(1(3(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 4(1(3(5(0(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 5(0(1(1(3(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 5(0(3(1(2(1(x1))))))
     , 0(1(5(4(1(x1))))) -> 0(1(3(5(4(1(x1))))))
     , 0(1(5(4(1(x1))))) -> 5(0(1(4(2(1(x1))))))
     , 0(3(0(1(1(x1))))) -> 0(0(2(1(3(1(x1))))))
     , 0(3(0(3(1(x1))))) -> 0(0(3(3(2(1(x1))))))
     , 0(3(0(3(1(x1))))) -> 4(0(0(3(3(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(0(1(3(4(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(0(2(1(3(4(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(1(3(4(0(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(1(3(4(0(2(x1))))))
     , 0(3(0(4(1(x1))))) -> 1(4(3(4(0(0(x1))))))
     , 0(3(0(4(1(x1))))) -> 3(4(0(2(0(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 4(0(0(1(3(4(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(0(1(2(3(5(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(1(3(5(0(3(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(3(5(0(1(4(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(5(0(3(1(3(x1))))))
     , 0(3(0(5(1(x1))))) -> 1(3(5(0(0(2(x1))))))
     , 0(3(1(0(1(x1))))) -> 0(1(3(1(2(0(x1))))))
     , 0(3(1(0(1(x1))))) -> 0(2(0(1(1(3(x1))))))
     , 0(3(1(0(1(x1))))) -> 1(1(3(4(0(0(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(0(3(5(1(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(1(1(3(5(3(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(1(3(5(3(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(1(5(3(4(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(3(4(1(1(5(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(0(1(3(5(0(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(0(1(3(5(3(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(3(5(1(4(0(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(4(0(1(3(5(x1))))))
     , 0(3(1(5(1(x1))))) -> 2(1(0(3(5(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 2(1(3(5(0(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 4(3(5(0(1(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(0(5(2(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(0(3(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(3(5(2(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(3(5(4(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(5(2(3(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(2(0(5(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(2(1(5(0(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(3(4(2(5(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(4(5(2(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(5(2(1(2(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(1(3(5(2(0(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(3(0(2(3(5(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(3(5(2(2(0(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(5(2(0(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(0(1(3(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(0(4(1(3(5(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(1(5(0(3(4(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(5(1(3(0(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 3(1(0(4(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 3(4(5(2(0(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 3(5(4(0(2(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(0(1(3(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(0(3(5(2(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(1(2(3(5(0(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(2(0(1(3(5(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(0(3(1(2(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(2(0(3(2(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(2(0(3(5(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(2(3(0(2(1(x1))))))
     , 0(4(1(5(1(x1))))) -> 0(1(1(4(3(5(x1))))))
     , 0(4(1(5(1(x1))))) -> 1(2(1(5(4(0(x1))))))
     , 0(4(1(5(1(x1))))) -> 1(5(0(4(2(1(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(0(1(3(5(1(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(5(0(1(1(2(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(5(0(1(1(3(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(5(0(2(1(1(x1))))))
     , 0(5(1(5(1(x1))))) -> 0(5(1(3(5(1(x1))))))
     , 0(5(1(5(1(x1))))) -> 1(1(3(5(0(5(x1))))))
     , 0(5(1(5(1(x1))))) -> 5(1(5(0(2(1(x1))))))
     , 0(5(3(0(1(x1))))) -> 0(0(3(5(2(1(x1))))))
     , 0(5(3(0(1(x1))))) -> 0(4(0(3(5(1(x1))))))
     , 0(5(3(0(1(x1))))) -> 1(0(3(5(2(0(x1))))))
     , 0(5(3(0(1(x1))))) -> 2(1(0(3(5(0(x1))))))}

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds

Tool RC1

Execution TimeUnknown
Answer
MAYBE
InputICFP 2010 58194

stdout:

MAYBE

Tool RC2

Execution TimeUnknown
Answer
TIMEOUT
InputICFP 2010 58194

stdout:

TIMEOUT

'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer:           TIMEOUT
Input Problem:    runtime-complexity with respect to
  Rules:
    {  0(1(0(1(x1)))) -> 0(0(2(1(1(x1)))))
     , 0(1(0(1(x1)))) -> 0(0(1(2(1(2(x1))))))
     , 0(1(0(1(x1)))) -> 0(0(1(3(3(1(x1))))))
     , 0(1(0(1(x1)))) -> 0(0(2(1(4(1(x1))))))
     , 0(1(0(1(x1)))) -> 0(0(3(4(1(1(x1))))))
     , 0(1(0(1(x1)))) -> 1(1(3(4(0(0(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(1(3(5(x1)))))
     , 0(1(5(1(x1)))) -> 0(1(3(5(1(x1)))))
     , 0(1(5(1(x1)))) -> 1(1(3(5(0(x1)))))
     , 0(1(5(1(x1)))) -> 1(3(5(0(1(x1)))))
     , 0(1(5(1(x1)))) -> 5(0(1(1(3(x1)))))
     , 0(1(5(1(x1)))) -> 0(1(1(3(5(2(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(2(2(5(1(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(3(3(5(1(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(3(5(0(1(x1))))))
     , 0(1(5(1(x1)))) -> 0(1(3(5(1(3(x1))))))
     , 0(1(5(1(x1)))) -> 0(2(1(1(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 0(3(1(1(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(2(0(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(3(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(3(4(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(3(5(0(3(x1))))))
     , 0(1(5(1(x1)))) -> 1(1(4(4(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(2(1(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
     , 0(1(5(1(x1)))) -> 1(3(1(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 1(4(3(5(0(1(x1))))))
     , 0(1(5(1(x1)))) -> 2(0(1(1(3(5(x1))))))
     , 0(1(5(1(x1)))) -> 2(1(1(3(5(0(x1))))))
     , 0(1(5(1(x1)))) -> 4(0(1(3(5(1(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(1(1(2(2(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(1(1(3(3(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(1(3(4(1(x1))))))
     , 0(1(5(1(x1)))) -> 5(0(2(1(1(3(x1))))))
     , 0(1(5(1(x1)))) -> 5(1(2(0(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(2(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(0(2(1(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(0(3(4(1(x1)))))
     , 0(3(0(1(x1)))) -> 0(1(3(4(0(x1)))))
     , 0(3(0(1(x1)))) -> 0(2(0(1(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(3(4(0(1(x1)))))
     , 0(3(0(1(x1)))) -> 1(0(3(4(0(x1)))))
     , 0(3(0(1(x1)))) -> 4(0(0(1(3(x1)))))
     , 0(3(0(1(x1)))) -> 0(0(1(2(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(3(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(3(4(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(3(4(4(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(1(4(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(1(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(2(3(1(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(1(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(1(2(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(1(3(4(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(2(1(2(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(3(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(0(3(4(2(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(1(2(0(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(1(3(4(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(0(2(3(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(1(0(2(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(1(0(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 0(2(1(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(1(2(2(0(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(4(1(0(4(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(4(2(0(1(x1))))))
     , 0(3(0(1(x1)))) -> 0(3(4(4(0(1(x1))))))
     , 0(3(0(1(x1)))) -> 1(0(2(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 1(0(3(2(2(0(x1))))))
     , 0(3(0(1(x1)))) -> 1(0(3(4(0(3(x1))))))
     , 0(3(0(1(x1)))) -> 1(2(0(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 1(3(4(0(0(2(x1))))))
     , 0(3(0(1(x1)))) -> 1(3(4(0(0(4(x1))))))
     , 0(3(0(1(x1)))) -> 2(0(1(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 2(1(0(3(4(0(x1))))))
     , 0(3(0(1(x1)))) -> 3(4(0(2(0(1(x1))))))
     , 0(3(0(1(x1)))) -> 4(0(0(1(3(3(x1))))))
     , 0(3(0(1(x1)))) -> 4(0(0(1(3(4(x1))))))
     , 0(3(0(1(x1)))) -> 4(0(1(3(4(0(x1))))))
     , 0(0(0(5(1(x1))))) -> 3(5(0(0(0(1(x1))))))
     , 0(0(3(0(1(x1))))) -> 1(3(4(0(0(0(x1))))))
     , 0(0(5(3(1(x1))))) -> 0(1(3(5(4(0(x1))))))
     , 0(0(5(3(1(x1))))) -> 0(3(5(0(1(4(x1))))))
     , 0(0(5(3(1(x1))))) -> 1(1(3(5(0(0(x1))))))
     , 0(0(5(3(1(x1))))) -> 2(0(3(5(0(1(x1))))))
     , 0(1(0(5(1(x1))))) -> 0(0(5(1(2(1(x1))))))
     , 0(1(0(5(1(x1))))) -> 0(1(5(0(1(4(x1))))))
     , 0(1(0(5(1(x1))))) -> 0(5(0(1(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 0(1(5(4(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 1(1(2(1(5(0(x1))))))
     , 0(1(2(5(1(x1))))) -> 1(5(0(2(0(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 1(5(2(4(0(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 2(5(1(0(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 5(0(1(2(2(1(x1))))))
     , 0(1(2(5(1(x1))))) -> 5(1(0(2(1(3(x1))))))
     , 0(1(2(5(1(x1))))) -> 5(3(1(0(2(1(x1))))))
     , 0(1(3(0(1(x1))))) -> 0(0(3(1(2(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 0(1(1(3(5(0(x1))))))
     , 0(1(5(3(1(x1))))) -> 0(4(1(3(5(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 1(2(0(1(3(5(x1))))))
     , 0(1(5(3(1(x1))))) -> 3(1(1(3(5(0(x1))))))
     , 0(1(5(3(1(x1))))) -> 3(5(0(1(2(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 3(5(0(1(3(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 4(1(3(5(0(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 5(0(1(1(3(1(x1))))))
     , 0(1(5(3(1(x1))))) -> 5(0(3(1(2(1(x1))))))
     , 0(1(5(4(1(x1))))) -> 0(1(3(5(4(1(x1))))))
     , 0(1(5(4(1(x1))))) -> 5(0(1(4(2(1(x1))))))
     , 0(3(0(1(1(x1))))) -> 0(0(2(1(3(1(x1))))))
     , 0(3(0(3(1(x1))))) -> 0(0(3(3(2(1(x1))))))
     , 0(3(0(3(1(x1))))) -> 4(0(0(3(3(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(0(1(3(4(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(0(2(1(3(4(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(1(3(4(0(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 0(1(3(4(0(2(x1))))))
     , 0(3(0(4(1(x1))))) -> 1(4(3(4(0(0(x1))))))
     , 0(3(0(4(1(x1))))) -> 3(4(0(2(0(1(x1))))))
     , 0(3(0(4(1(x1))))) -> 4(0(0(1(3(4(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(0(1(2(3(5(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(1(3(5(0(3(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(3(5(0(1(4(x1))))))
     , 0(3(0(5(1(x1))))) -> 0(5(0(3(1(3(x1))))))
     , 0(3(0(5(1(x1))))) -> 1(3(5(0(0(2(x1))))))
     , 0(3(1(0(1(x1))))) -> 0(1(3(1(2(0(x1))))))
     , 0(3(1(0(1(x1))))) -> 0(2(0(1(1(3(x1))))))
     , 0(3(1(0(1(x1))))) -> 1(1(3(4(0(0(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(0(3(5(1(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(1(1(3(5(3(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(1(3(5(3(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(1(5(3(4(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 0(3(4(1(1(5(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(0(1(3(5(0(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(0(1(3(5(3(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(3(5(1(4(0(x1))))))
     , 0(3(1(5(1(x1))))) -> 1(4(0(1(3(5(x1))))))
     , 0(3(1(5(1(x1))))) -> 2(1(0(3(5(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 2(1(3(5(0(1(x1))))))
     , 0(3(1(5(1(x1))))) -> 4(3(5(0(1(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(0(5(2(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(0(3(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(3(5(2(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(3(5(4(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(1(5(2(3(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(2(0(5(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(2(1(5(0(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(3(4(2(5(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(4(5(2(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 0(5(2(1(2(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(1(3(5(2(0(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(3(0(2(3(5(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(3(5(2(2(0(x1))))))
     , 0(3(2(5(1(x1))))) -> 1(5(2(0(1(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(0(1(3(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(0(4(1(3(5(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(1(5(0(3(4(x1))))))
     , 0(3(2(5(1(x1))))) -> 2(5(1(3(0(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 3(1(0(4(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 3(4(5(2(0(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 3(5(4(0(2(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(0(1(3(5(2(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(0(3(5(2(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(1(2(3(5(0(x1))))))
     , 0(3(2(5(1(x1))))) -> 4(2(0(1(3(5(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(0(3(1(2(3(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(2(0(3(2(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(2(0(3(5(1(x1))))))
     , 0(3(2(5(1(x1))))) -> 5(2(3(0(2(1(x1))))))
     , 0(4(1(5(1(x1))))) -> 0(1(1(4(3(5(x1))))))
     , 0(4(1(5(1(x1))))) -> 1(2(1(5(4(0(x1))))))
     , 0(4(1(5(1(x1))))) -> 1(5(0(4(2(1(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(0(1(3(5(1(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(5(0(1(1(2(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(5(0(1(1(3(x1))))))
     , 0(5(1(0(1(x1))))) -> 0(5(0(2(1(1(x1))))))
     , 0(5(1(5(1(x1))))) -> 0(5(1(3(5(1(x1))))))
     , 0(5(1(5(1(x1))))) -> 1(1(3(5(0(5(x1))))))
     , 0(5(1(5(1(x1))))) -> 5(1(5(0(2(1(x1))))))
     , 0(5(3(0(1(x1))))) -> 0(0(3(5(2(1(x1))))))
     , 0(5(3(0(1(x1))))) -> 0(4(0(3(5(1(x1))))))
     , 0(5(3(0(1(x1))))) -> 1(0(3(5(2(0(x1))))))
     , 0(5(3(0(1(x1))))) -> 2(1(0(3(5(0(x1))))))}

Proof Output:    
  Computation stopped due to timeout after 60.0 seconds