YES

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

Proof:
 DP Processor:
  DPs:
   0#(0(1(x1))) -> 0#(x1)
   0#(0(1(x1))) -> 0#(1(2(0(x1))))
   0#(0(1(x1))) -> 0#(3(1(0(x1))))
   0#(0(1(x1))) -> 0#(4(0(x1)))
   0#(0(1(x1))) -> 0#(2(x1))
   0#(0(1(x1))) -> 0#(1(3(0(2(x1)))))
   0#(0(1(x1))) -> 0#(4(x1))
   0#(0(1(x1))) -> 0#(1(3(0(4(x1)))))
   0#(0(1(x1))) -> 0#(1(2(x1)))
   0#(0(1(x1))) -> 0#(2(0(1(2(x1)))))
   0#(0(1(x1))) -> 0#(3(0(1(2(x1)))))
   0#(0(1(x1))) -> 0#(3(1(x1)))
   0#(0(1(x1))) -> 0#(3(0(3(1(x1)))))
   0#(0(1(x1))) -> 0#(4(1(x1)))
   0#(0(1(x1))) -> 0#(4(0(4(1(x1)))))
   0#(0(1(x1))) -> 0#(2(0(x1)))
   0#(0(1(x1))) -> 0#(0(x1))
   0#(0(1(x1))) -> 0#(2(2(1(2(x1)))))
   0#(0(1(x1))) -> 0#(0(2(2(1(2(x1))))))
   0#(0(1(x1))) -> 0#(1(2(4(2(0(x1))))))
   0#(0(1(x1))) -> 0#(3(0(4(x1))))
   0#(1(1(x1))) -> 0#(2(1(1(x1))))
   0#(1(1(x1))) -> 0#(3(1(1(x1))))
   0#(1(1(x1))) -> 0#(4(x1))
   0#(1(1(x1))) -> 0#(2(1(x1)))
   0#(1(1(x1))) -> 0#(3(1(2(4(x1)))))
   0#(1(1(x1))) -> 0#(4(2(1(2(x1)))))
   0#(1(1(x1))) -> 0#(x1)
   0#(1(1(x1))) -> 0#(4(4(x1)))
   0#(5(1(x1))) -> 5#(x1)
   0#(5(1(x1))) -> 0#(3(1(5(x1))))
   0#(5(1(x1))) -> 0#(4(5(1(x1))))
   0#(5(1(x1))) -> 0#(2(3(1(5(x1)))))
   0#(5(1(x1))) -> 5#(2(x1))
   0#(5(1(x1))) -> 0#(3(1(5(2(x1)))))
   0#(5(1(x1))) -> 0#(3(1(2(5(2(x1))))))
   5#(0(1(x1))) -> 0#(x1)
   5#(0(1(x1))) -> 5#(1(2(4(0(x1)))))
   5#(0(1(x1))) -> 0#(2(1(2(4(x1)))))
   5#(0(1(x1))) -> 5#(0(2(1(2(4(x1))))))
   5#(0(1(x1))) -> 0#(4(x1))
   5#(0(1(x1))) -> 5#(1(2(3(0(4(x1))))))
   0#(0(1(5(x1)))) -> 0#(5(x1))
   0#(0(1(5(x1)))) -> 0#(4(1(0(5(x1)))))
   0#(0(2(1(x1)))) -> 0#(3(0(2(1(x1)))))
   0#(0(2(1(x1)))) -> 0#(1(x1))
   0#(0(2(1(x1)))) -> 0#(2(0(1(x1))))
   0#(1(0(1(x1)))) -> 0#(2(0(1(x1))))
   0#(1(1(1(x1)))) -> 0#(x1)
   5#(0(1(1(x1)))) -> 0#(x1)
   5#(0(1(1(x1)))) -> 5#(1(2(0(x1))))
   5#(3(0(1(x1)))) -> 0#(x1)
   5#(3(0(1(x1)))) -> 5#(1(2(3(0(x1)))))
   5#(3(1(5(x1)))) -> 5#(3(1(2(5(x1)))))
   5#(3(2(1(x1)))) -> 5#(2(x1))
   5#(4(0(1(x1)))) -> 0#(4(x1))
   5#(4(0(1(x1)))) -> 5#(0(4(x1)))
   0#(0(5(1(5(x1))))) -> 0#(x1)
   0#(0(5(1(5(x1))))) -> 0#(0(x1))
   0#(0(5(1(5(x1))))) -> 5#(0(0(x1)))
   0#(0(5(1(5(x1))))) -> 5#(5(0(0(x1))))
   0#(5(3(0(1(x1))))) -> 0#(4(x1))
   0#(5(3(0(1(x1))))) -> 5#(3(0(4(x1))))
   0#(5(3(0(1(x1))))) -> 0#(5(3(0(4(x1)))))
   0#(5(3(4(1(x1))))) -> 5#(x1)
   0#(5(3(4(1(x1))))) -> 5#(4(5(x1)))
   0#(5(3(4(1(x1))))) -> 0#(3(5(4(5(x1)))))
   0#(5(4(0(1(x1))))) -> 5#(x1)
   0#(5(4(0(1(x1))))) -> 0#(4(5(x1)))
   0#(5(4(0(1(x1))))) -> 0#(1(3(0(4(5(x1))))))
   5#(4(2(1(1(x1))))) -> 5#(4(1(2(1(2(x1))))))
  TRS:
   0(0(1(x1))) -> 0(1(2(0(x1))))
   0(0(1(x1))) -> 0(3(1(0(x1))))
   0(0(1(x1))) -> 1(0(4(0(x1))))
   0(0(1(x1))) -> 0(1(3(0(2(x1)))))
   0(0(1(x1))) -> 0(1(3(0(4(x1)))))
   0(0(1(x1))) -> 0(2(0(1(2(x1)))))
   0(0(1(x1))) -> 0(3(0(1(2(x1)))))
   0(0(1(x1))) -> 0(3(0(3(1(x1)))))
   0(0(1(x1))) -> 0(4(0(4(1(x1)))))
   0(0(1(x1))) -> 1(2(0(2(0(x1)))))
   0(0(1(x1))) -> 1(2(2(0(0(x1)))))
   0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
   0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
   0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
   0(1(1(x1))) -> 0(2(1(1(x1))))
   0(1(1(x1))) -> 0(3(1(1(x1))))
   0(1(1(x1))) -> 1(1(3(0(4(x1)))))
   0(1(1(x1))) -> 1(2(0(2(1(x1)))))
   0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
   0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
   0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
   0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
   0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
   0(5(1(x1))) -> 0(3(1(5(x1))))
   0(5(1(x1))) -> 0(4(5(1(x1))))
   0(5(1(x1))) -> 0(2(3(1(5(x1)))))
   0(5(1(x1))) -> 0(3(1(5(2(x1)))))
   0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
   5(0(1(x1))) -> 5(1(2(4(0(x1)))))
   5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
   5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
   0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
   0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
   0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
   0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
   0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
   5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
   5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
   5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
   5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
   5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
   0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
   0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
   0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
   0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
   5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
  TDG Processor:
   DPs:
    0#(0(1(x1))) -> 0#(x1)
    0#(0(1(x1))) -> 0#(1(2(0(x1))))
    0#(0(1(x1))) -> 0#(3(1(0(x1))))
    0#(0(1(x1))) -> 0#(4(0(x1)))
    0#(0(1(x1))) -> 0#(2(x1))
    0#(0(1(x1))) -> 0#(1(3(0(2(x1)))))
    0#(0(1(x1))) -> 0#(4(x1))
    0#(0(1(x1))) -> 0#(1(3(0(4(x1)))))
    0#(0(1(x1))) -> 0#(1(2(x1)))
    0#(0(1(x1))) -> 0#(2(0(1(2(x1)))))
    0#(0(1(x1))) -> 0#(3(0(1(2(x1)))))
    0#(0(1(x1))) -> 0#(3(1(x1)))
    0#(0(1(x1))) -> 0#(3(0(3(1(x1)))))
    0#(0(1(x1))) -> 0#(4(1(x1)))
    0#(0(1(x1))) -> 0#(4(0(4(1(x1)))))
    0#(0(1(x1))) -> 0#(2(0(x1)))
    0#(0(1(x1))) -> 0#(0(x1))
    0#(0(1(x1))) -> 0#(2(2(1(2(x1)))))
    0#(0(1(x1))) -> 0#(0(2(2(1(2(x1))))))
    0#(0(1(x1))) -> 0#(1(2(4(2(0(x1))))))
    0#(0(1(x1))) -> 0#(3(0(4(x1))))
    0#(1(1(x1))) -> 0#(2(1(1(x1))))
    0#(1(1(x1))) -> 0#(3(1(1(x1))))
    0#(1(1(x1))) -> 0#(4(x1))
    0#(1(1(x1))) -> 0#(2(1(x1)))
    0#(1(1(x1))) -> 0#(3(1(2(4(x1)))))
    0#(1(1(x1))) -> 0#(4(2(1(2(x1)))))
    0#(1(1(x1))) -> 0#(x1)
    0#(1(1(x1))) -> 0#(4(4(x1)))
    0#(5(1(x1))) -> 5#(x1)
    0#(5(1(x1))) -> 0#(3(1(5(x1))))
    0#(5(1(x1))) -> 0#(4(5(1(x1))))
    0#(5(1(x1))) -> 0#(2(3(1(5(x1)))))
    0#(5(1(x1))) -> 5#(2(x1))
    0#(5(1(x1))) -> 0#(3(1(5(2(x1)))))
    0#(5(1(x1))) -> 0#(3(1(2(5(2(x1))))))
    5#(0(1(x1))) -> 0#(x1)
    5#(0(1(x1))) -> 5#(1(2(4(0(x1)))))
    5#(0(1(x1))) -> 0#(2(1(2(4(x1)))))
    5#(0(1(x1))) -> 5#(0(2(1(2(4(x1))))))
    5#(0(1(x1))) -> 0#(4(x1))
    5#(0(1(x1))) -> 5#(1(2(3(0(4(x1))))))
    0#(0(1(5(x1)))) -> 0#(5(x1))
    0#(0(1(5(x1)))) -> 0#(4(1(0(5(x1)))))
    0#(0(2(1(x1)))) -> 0#(3(0(2(1(x1)))))
    0#(0(2(1(x1)))) -> 0#(1(x1))
    0#(0(2(1(x1)))) -> 0#(2(0(1(x1))))
    0#(1(0(1(x1)))) -> 0#(2(0(1(x1))))
    0#(1(1(1(x1)))) -> 0#(x1)
    5#(0(1(1(x1)))) -> 0#(x1)
    5#(0(1(1(x1)))) -> 5#(1(2(0(x1))))
    5#(3(0(1(x1)))) -> 0#(x1)
    5#(3(0(1(x1)))) -> 5#(1(2(3(0(x1)))))
    5#(3(1(5(x1)))) -> 5#(3(1(2(5(x1)))))
    5#(3(2(1(x1)))) -> 5#(2(x1))
    5#(4(0(1(x1)))) -> 0#(4(x1))
    5#(4(0(1(x1)))) -> 5#(0(4(x1)))
    0#(0(5(1(5(x1))))) -> 0#(x1)
    0#(0(5(1(5(x1))))) -> 0#(0(x1))
    0#(0(5(1(5(x1))))) -> 5#(0(0(x1)))
    0#(0(5(1(5(x1))))) -> 5#(5(0(0(x1))))
    0#(5(3(0(1(x1))))) -> 0#(4(x1))
    0#(5(3(0(1(x1))))) -> 5#(3(0(4(x1))))
    0#(5(3(0(1(x1))))) -> 0#(5(3(0(4(x1)))))
    0#(5(3(4(1(x1))))) -> 5#(x1)
    0#(5(3(4(1(x1))))) -> 5#(4(5(x1)))
    0#(5(3(4(1(x1))))) -> 0#(3(5(4(5(x1)))))
    0#(5(4(0(1(x1))))) -> 5#(x1)
    0#(5(4(0(1(x1))))) -> 0#(4(5(x1)))
    0#(5(4(0(1(x1))))) -> 0#(1(3(0(4(5(x1))))))
    5#(4(2(1(1(x1))))) -> 5#(4(1(2(1(2(x1))))))
   TRS:
    0(0(1(x1))) -> 0(1(2(0(x1))))
    0(0(1(x1))) -> 0(3(1(0(x1))))
    0(0(1(x1))) -> 1(0(4(0(x1))))
    0(0(1(x1))) -> 0(1(3(0(2(x1)))))
    0(0(1(x1))) -> 0(1(3(0(4(x1)))))
    0(0(1(x1))) -> 0(2(0(1(2(x1)))))
    0(0(1(x1))) -> 0(3(0(1(2(x1)))))
    0(0(1(x1))) -> 0(3(0(3(1(x1)))))
    0(0(1(x1))) -> 0(4(0(4(1(x1)))))
    0(0(1(x1))) -> 1(2(0(2(0(x1)))))
    0(0(1(x1))) -> 1(2(2(0(0(x1)))))
    0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
    0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
    0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
    0(1(1(x1))) -> 0(2(1(1(x1))))
    0(1(1(x1))) -> 0(3(1(1(x1))))
    0(1(1(x1))) -> 1(1(3(0(4(x1)))))
    0(1(1(x1))) -> 1(2(0(2(1(x1)))))
    0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
    0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
    0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
    0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
    0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
    0(5(1(x1))) -> 0(3(1(5(x1))))
    0(5(1(x1))) -> 0(4(5(1(x1))))
    0(5(1(x1))) -> 0(2(3(1(5(x1)))))
    0(5(1(x1))) -> 0(3(1(5(2(x1)))))
    0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
    5(0(1(x1))) -> 5(1(2(4(0(x1)))))
    5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
    5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
    0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
    0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
    0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
    0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
    0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
    5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
    5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
    5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
    5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
    5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
    0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
    0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
    0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
    0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
    5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
   graph:
    ...
   EDG Processor:
    DPs:
     0#(0(1(x1))) -> 0#(x1)
     0#(0(1(x1))) -> 0#(1(2(0(x1))))
     0#(0(1(x1))) -> 0#(3(1(0(x1))))
     0#(0(1(x1))) -> 0#(4(0(x1)))
     0#(0(1(x1))) -> 0#(2(x1))
     0#(0(1(x1))) -> 0#(1(3(0(2(x1)))))
     0#(0(1(x1))) -> 0#(4(x1))
     0#(0(1(x1))) -> 0#(1(3(0(4(x1)))))
     0#(0(1(x1))) -> 0#(1(2(x1)))
     0#(0(1(x1))) -> 0#(2(0(1(2(x1)))))
     0#(0(1(x1))) -> 0#(3(0(1(2(x1)))))
     0#(0(1(x1))) -> 0#(3(1(x1)))
     0#(0(1(x1))) -> 0#(3(0(3(1(x1)))))
     0#(0(1(x1))) -> 0#(4(1(x1)))
     0#(0(1(x1))) -> 0#(4(0(4(1(x1)))))
     0#(0(1(x1))) -> 0#(2(0(x1)))
     0#(0(1(x1))) -> 0#(0(x1))
     0#(0(1(x1))) -> 0#(2(2(1(2(x1)))))
     0#(0(1(x1))) -> 0#(0(2(2(1(2(x1))))))
     0#(0(1(x1))) -> 0#(1(2(4(2(0(x1))))))
     0#(0(1(x1))) -> 0#(3(0(4(x1))))
     0#(1(1(x1))) -> 0#(2(1(1(x1))))
     0#(1(1(x1))) -> 0#(3(1(1(x1))))
     0#(1(1(x1))) -> 0#(4(x1))
     0#(1(1(x1))) -> 0#(2(1(x1)))
     0#(1(1(x1))) -> 0#(3(1(2(4(x1)))))
     0#(1(1(x1))) -> 0#(4(2(1(2(x1)))))
     0#(1(1(x1))) -> 0#(x1)
     0#(1(1(x1))) -> 0#(4(4(x1)))
     0#(5(1(x1))) -> 5#(x1)
     0#(5(1(x1))) -> 0#(3(1(5(x1))))
     0#(5(1(x1))) -> 0#(4(5(1(x1))))
     0#(5(1(x1))) -> 0#(2(3(1(5(x1)))))
     0#(5(1(x1))) -> 5#(2(x1))
     0#(5(1(x1))) -> 0#(3(1(5(2(x1)))))
     0#(5(1(x1))) -> 0#(3(1(2(5(2(x1))))))
     5#(0(1(x1))) -> 0#(x1)
     5#(0(1(x1))) -> 5#(1(2(4(0(x1)))))
     5#(0(1(x1))) -> 0#(2(1(2(4(x1)))))
     5#(0(1(x1))) -> 5#(0(2(1(2(4(x1))))))
     5#(0(1(x1))) -> 0#(4(x1))
     5#(0(1(x1))) -> 5#(1(2(3(0(4(x1))))))
     0#(0(1(5(x1)))) -> 0#(5(x1))
     0#(0(1(5(x1)))) -> 0#(4(1(0(5(x1)))))
     0#(0(2(1(x1)))) -> 0#(3(0(2(1(x1)))))
     0#(0(2(1(x1)))) -> 0#(1(x1))
     0#(0(2(1(x1)))) -> 0#(2(0(1(x1))))
     0#(1(0(1(x1)))) -> 0#(2(0(1(x1))))
     0#(1(1(1(x1)))) -> 0#(x1)
     5#(0(1(1(x1)))) -> 0#(x1)
     5#(0(1(1(x1)))) -> 5#(1(2(0(x1))))
     5#(3(0(1(x1)))) -> 0#(x1)
     5#(3(0(1(x1)))) -> 5#(1(2(3(0(x1)))))
     5#(3(1(5(x1)))) -> 5#(3(1(2(5(x1)))))
     5#(3(2(1(x1)))) -> 5#(2(x1))
     5#(4(0(1(x1)))) -> 0#(4(x1))
     5#(4(0(1(x1)))) -> 5#(0(4(x1)))
     0#(0(5(1(5(x1))))) -> 0#(x1)
     0#(0(5(1(5(x1))))) -> 0#(0(x1))
     0#(0(5(1(5(x1))))) -> 5#(0(0(x1)))
     0#(0(5(1(5(x1))))) -> 5#(5(0(0(x1))))
     0#(5(3(0(1(x1))))) -> 0#(4(x1))
     0#(5(3(0(1(x1))))) -> 5#(3(0(4(x1))))
     0#(5(3(0(1(x1))))) -> 0#(5(3(0(4(x1)))))
     0#(5(3(4(1(x1))))) -> 5#(x1)
     0#(5(3(4(1(x1))))) -> 5#(4(5(x1)))
     0#(5(3(4(1(x1))))) -> 0#(3(5(4(5(x1)))))
     0#(5(4(0(1(x1))))) -> 5#(x1)
     0#(5(4(0(1(x1))))) -> 0#(4(5(x1)))
     0#(5(4(0(1(x1))))) -> 0#(1(3(0(4(5(x1))))))
     5#(4(2(1(1(x1))))) -> 5#(4(1(2(1(2(x1))))))
    TRS:
     0(0(1(x1))) -> 0(1(2(0(x1))))
     0(0(1(x1))) -> 0(3(1(0(x1))))
     0(0(1(x1))) -> 1(0(4(0(x1))))
     0(0(1(x1))) -> 0(1(3(0(2(x1)))))
     0(0(1(x1))) -> 0(1(3(0(4(x1)))))
     0(0(1(x1))) -> 0(2(0(1(2(x1)))))
     0(0(1(x1))) -> 0(3(0(1(2(x1)))))
     0(0(1(x1))) -> 0(3(0(3(1(x1)))))
     0(0(1(x1))) -> 0(4(0(4(1(x1)))))
     0(0(1(x1))) -> 1(2(0(2(0(x1)))))
     0(0(1(x1))) -> 1(2(2(0(0(x1)))))
     0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
     0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
     0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
     0(1(1(x1))) -> 0(2(1(1(x1))))
     0(1(1(x1))) -> 0(3(1(1(x1))))
     0(1(1(x1))) -> 1(1(3(0(4(x1)))))
     0(1(1(x1))) -> 1(2(0(2(1(x1)))))
     0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
     0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
     0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
     0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
     0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
     0(5(1(x1))) -> 0(3(1(5(x1))))
     0(5(1(x1))) -> 0(4(5(1(x1))))
     0(5(1(x1))) -> 0(2(3(1(5(x1)))))
     0(5(1(x1))) -> 0(3(1(5(2(x1)))))
     0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
     5(0(1(x1))) -> 5(1(2(4(0(x1)))))
     5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
     5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
     0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
     0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
     0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
     0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
     0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
     5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
     5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
     5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
     5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
     5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
     0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
     0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
     0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
     0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
     5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
    graph:
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(x1)
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(2(0(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(1(0(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(0(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(3(0(2(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(3(0(4(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(2(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(0(1(2(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(0(1(2(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(1(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(0(3(1(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(1(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(0(4(1(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(0(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(0(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(2(1(2(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(0(2(2(1(2(x1))))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(2(4(2(0(x1))))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(0(4(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(2(1(1(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(3(1(1(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(4(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(2(1(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(3(1(2(4(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(4(2(1(2(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(x1)
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(4(4(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 5#(x1)
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(3(1(5(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(4(5(1(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(2(3(1(5(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 5#(2(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(3(1(5(2(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(3(1(2(5(2(x1))))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(5(x1)))) -> 0#(5(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(1(5(x1)))) -> 0#(4(1(0(5(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(2(1(x1)))) -> 0#(3(0(2(1(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(2(1(x1)))) -> 0#(1(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(2(1(x1)))) -> 0#(2(0(1(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(0(1(x1)))) -> 0#(2(0(1(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(1(1(1(x1)))) -> 0#(x1)
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 0#(x1)
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 0#(0(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 5#(0(0(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 5#(5(0(0(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 0#(4(x1))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 5#(3(0(4(x1))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 0#(5(3(0(4(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 5#(x1)
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 5#(4(5(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 0#(3(5(4(5(x1)))))
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 5#(x1)
     5#(3(0(1(x1)))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 0#(4(5(x1)))
     5#(3(0(1(x1)))) -> 0#(x1) ->
     0#(5(4(0(1(x1))))) -> 0#(1(3(0(4(5(x1))))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(x1)
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(2(0(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(1(0(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(0(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(3(0(2(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(3(0(4(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(2(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(0(1(2(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(0(1(2(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(1(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(0(3(1(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(1(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(4(0(4(1(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(0(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(0(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(2(2(1(2(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(0(2(2(1(2(x1))))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(2(4(2(0(x1))))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(3(0(4(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(2(1(1(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(3(1(1(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(4(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(2(1(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(3(1(2(4(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(4(2(1(2(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(x1)
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(4(4(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 5#(x1)
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(3(1(5(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(4(5(1(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(2(3(1(5(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 5#(2(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(3(1(5(2(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(1(x1))) -> 0#(3(1(2(5(2(x1))))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(5(x1)))) -> 0#(5(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(1(5(x1)))) -> 0#(4(1(0(5(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(2(1(x1)))) -> 0#(3(0(2(1(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(2(1(x1)))) -> 0#(1(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(2(1(x1)))) -> 0#(2(0(1(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(0(1(x1)))) -> 0#(2(0(1(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(1(1(1(x1)))) -> 0#(x1)
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 0#(x1)
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 0#(0(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 5#(0(0(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 5#(5(0(0(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 0#(4(x1))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 5#(3(0(4(x1))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 0#(5(3(0(4(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 5#(x1)
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 5#(4(5(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 0#(3(5(4(5(x1)))))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 5#(x1)
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 0#(4(5(x1)))
     5#(0(1(1(x1)))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 0#(1(3(0(4(5(x1))))))
     5#(0(1(x1))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(x1)
     5#(0(1(x1))) -> 0#(x1) -> 0#(0(1(x1))) -> 0#(1(2(0(x1))))
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     0#(1(1(x1))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 0#(0(x1))
     0#(1(1(x1))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 5#(0(0(x1)))
     0#(1(1(x1))) -> 0#(x1) -> 0#(0(5(1(5(x1))))) -> 5#(5(0(0(x1))))
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 0#(4(x1))
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 5#(3(0(4(x1))))
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(3(0(1(x1))))) -> 0#(5(3(0(4(x1)))))
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 5#(x1)
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 5#(4(5(x1)))
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(3(4(1(x1))))) -> 0#(3(5(4(5(x1)))))
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 5#(x1)
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 0#(4(5(x1)))
     0#(1(1(x1))) -> 0#(x1) -> 0#(5(4(0(1(x1))))) -> 0#(1(3(0(4(5(x1))))))
    SCC Processor:
     #sccs: 1
     #rules: 16
     #arcs: 628/5041
     DPs:
      5#(3(0(1(x1)))) -> 0#(x1)
      0#(5(4(0(1(x1))))) -> 5#(x1)
      5#(0(1(1(x1)))) -> 0#(x1)
      0#(5(3(4(1(x1))))) -> 5#(x1)
      5#(0(1(x1))) -> 0#(x1)
      0#(0(5(1(5(x1))))) -> 5#(5(0(0(x1))))
      0#(0(5(1(5(x1))))) -> 5#(0(0(x1)))
      0#(0(5(1(5(x1))))) -> 0#(0(x1))
      0#(0(5(1(5(x1))))) -> 0#(x1)
      0#(1(1(1(x1)))) -> 0#(x1)
      0#(0(2(1(x1)))) -> 0#(1(x1))
      0#(1(1(x1))) -> 0#(x1)
      0#(0(1(5(x1)))) -> 0#(5(x1))
      0#(5(1(x1))) -> 5#(x1)
      0#(0(1(x1))) -> 0#(0(x1))
      0#(0(1(x1))) -> 0#(x1)
     TRS:
      0(0(1(x1))) -> 0(1(2(0(x1))))
      0(0(1(x1))) -> 0(3(1(0(x1))))
      0(0(1(x1))) -> 1(0(4(0(x1))))
      0(0(1(x1))) -> 0(1(3(0(2(x1)))))
      0(0(1(x1))) -> 0(1(3(0(4(x1)))))
      0(0(1(x1))) -> 0(2(0(1(2(x1)))))
      0(0(1(x1))) -> 0(3(0(1(2(x1)))))
      0(0(1(x1))) -> 0(3(0(3(1(x1)))))
      0(0(1(x1))) -> 0(4(0(4(1(x1)))))
      0(0(1(x1))) -> 1(2(0(2(0(x1)))))
      0(0(1(x1))) -> 1(2(2(0(0(x1)))))
      0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
      0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
      0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
      0(1(1(x1))) -> 0(2(1(1(x1))))
      0(1(1(x1))) -> 0(3(1(1(x1))))
      0(1(1(x1))) -> 1(1(3(0(4(x1)))))
      0(1(1(x1))) -> 1(2(0(2(1(x1)))))
      0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
      0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
      0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
      0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
      0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
      0(5(1(x1))) -> 0(3(1(5(x1))))
      0(5(1(x1))) -> 0(4(5(1(x1))))
      0(5(1(x1))) -> 0(2(3(1(5(x1)))))
      0(5(1(x1))) -> 0(3(1(5(2(x1)))))
      0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
      5(0(1(x1))) -> 5(1(2(4(0(x1)))))
      5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
      5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
      0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
      0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
      0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
      0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
      0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
      5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
      5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
      5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
      5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
      5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
      0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
      0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
      0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
      0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
      5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
     Arctic Interpretation Processor:
      dimension: 1
      usable rules:
       0(0(1(x1))) -> 0(1(2(0(x1))))
       0(0(1(x1))) -> 0(3(1(0(x1))))
       0(0(1(x1))) -> 1(0(4(0(x1))))
       0(0(1(x1))) -> 0(1(3(0(2(x1)))))
       0(0(1(x1))) -> 0(1(3(0(4(x1)))))
       0(0(1(x1))) -> 0(2(0(1(2(x1)))))
       0(0(1(x1))) -> 0(3(0(1(2(x1)))))
       0(0(1(x1))) -> 0(3(0(3(1(x1)))))
       0(0(1(x1))) -> 0(4(0(4(1(x1)))))
       0(0(1(x1))) -> 1(2(0(2(0(x1)))))
       0(0(1(x1))) -> 1(2(2(0(0(x1)))))
       0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
       0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
       0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
       0(1(1(x1))) -> 0(2(1(1(x1))))
       0(1(1(x1))) -> 0(3(1(1(x1))))
       0(1(1(x1))) -> 1(1(3(0(4(x1)))))
       0(1(1(x1))) -> 1(2(0(2(1(x1)))))
       0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
       0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
       0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
       0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
       0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
       0(5(1(x1))) -> 0(3(1(5(x1))))
       0(5(1(x1))) -> 0(4(5(1(x1))))
       0(5(1(x1))) -> 0(2(3(1(5(x1)))))
       0(5(1(x1))) -> 0(3(1(5(2(x1)))))
       0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
       5(0(1(x1))) -> 5(1(2(4(0(x1)))))
       5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
       5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
       0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
       0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
       0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
       0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
       0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
       5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
       5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
       5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
       5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
       5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
       0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
       0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
       0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
       0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
       5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
      interpretation:
       [5#](x0) = x0,
       
       [0#](x0) = x0,
       
       [5](x0) = x0,
       
       [4](x0) = x0,
       
       [3](x0) = x0,
       
       [2](x0) = x0,
       
       [0](x0) = x0,
       
       [1](x0) = 1x0
      orientation:
       5#(3(0(1(x1)))) = 1x1 >= x1 = 0#(x1)
       
       0#(5(4(0(1(x1))))) = 1x1 >= x1 = 5#(x1)
       
       5#(0(1(1(x1)))) = 2x1 >= x1 = 0#(x1)
       
       0#(5(3(4(1(x1))))) = 1x1 >= x1 = 5#(x1)
       
       5#(0(1(x1))) = 1x1 >= x1 = 0#(x1)
       
       0#(0(5(1(5(x1))))) = 1x1 >= x1 = 5#(5(0(0(x1))))
       
       0#(0(5(1(5(x1))))) = 1x1 >= x1 = 5#(0(0(x1)))
       
       0#(0(5(1(5(x1))))) = 1x1 >= x1 = 0#(0(x1))
       
       0#(0(5(1(5(x1))))) = 1x1 >= x1 = 0#(x1)
       
       0#(1(1(1(x1)))) = 3x1 >= x1 = 0#(x1)
       
       0#(0(2(1(x1)))) = 1x1 >= 1x1 = 0#(1(x1))
       
       0#(1(1(x1))) = 2x1 >= x1 = 0#(x1)
       
       0#(0(1(5(x1)))) = 1x1 >= x1 = 0#(5(x1))
       
       0#(5(1(x1))) = 1x1 >= x1 = 5#(x1)
       
       0#(0(1(x1))) = 1x1 >= x1 = 0#(0(x1))
       
       0#(0(1(x1))) = 1x1 >= x1 = 0#(x1)
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(1(2(0(x1))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(3(1(0(x1))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 1(0(4(0(x1))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(1(3(0(2(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(1(3(0(4(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(2(0(1(2(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(3(0(1(2(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(3(0(3(1(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(4(0(4(1(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 1(2(0(2(0(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 1(2(2(0(0(x1)))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(0(2(2(1(2(x1))))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 0(1(2(4(2(0(x1))))))
       
       0(0(1(x1))) = 1x1 >= 1x1 = 1(2(0(3(0(4(x1))))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 0(2(1(1(x1))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 0(3(1(1(x1))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 1(1(3(0(4(x1)))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 1(2(0(2(1(x1)))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 1(0(3(1(2(4(x1))))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 1(0(4(2(1(2(x1))))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 1(1(2(4(3(0(x1))))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 1(2(1(0(4(4(x1))))))
       
       0(1(1(x1))) = 2x1 >= 2x1 = 1(2(2(1(3(0(x1))))))
       
       0(5(1(x1))) = 1x1 >= 1x1 = 0(3(1(5(x1))))
       
       0(5(1(x1))) = 1x1 >= 1x1 = 0(4(5(1(x1))))
       
       0(5(1(x1))) = 1x1 >= 1x1 = 0(2(3(1(5(x1)))))
       
       0(5(1(x1))) = 1x1 >= 1x1 = 0(3(1(5(2(x1)))))
       
       0(5(1(x1))) = 1x1 >= 1x1 = 0(3(1(2(5(2(x1))))))
       
       5(0(1(x1))) = 1x1 >= 1x1 = 5(1(2(4(0(x1)))))
       
       5(0(1(x1))) = 1x1 >= 1x1 = 5(0(2(1(2(4(x1))))))
       
       5(0(1(x1))) = 1x1 >= 1x1 = 5(1(2(3(0(4(x1))))))
       
       0(0(1(5(x1)))) = 1x1 >= 1x1 = 0(4(1(0(5(x1)))))
       
       0(0(2(1(x1)))) = 1x1 >= 1x1 = 2(0(3(0(2(1(x1))))))
       
       0(0(2(1(x1)))) = 1x1 >= 1x1 = 2(3(0(2(0(1(x1))))))
       
       0(1(0(1(x1)))) = 2x1 >= 2x1 = 1(0(2(0(1(x1)))))
       
       0(1(1(1(x1)))) = 3x1 >= 3x1 = 1(1(3(1(0(x1)))))
       
       5(0(1(1(x1)))) = 2x1 >= 2x1 = 1(5(1(2(0(x1)))))
       
       5(3(0(1(x1)))) = 1x1 >= 1x1 = 5(1(2(3(0(x1)))))
       
       5(3(1(5(x1)))) = 1x1 >= 1x1 = 5(3(1(2(5(x1)))))
       
       5(3(2(1(x1)))) = 1x1 >= 1x1 = 1(2(3(5(2(x1)))))
       
       5(4(0(1(x1)))) = 1x1 >= 1x1 = 1(2(5(0(4(x1)))))
       
       0(0(5(1(5(x1))))) = 1x1 >= 1x1 = 1(2(5(5(0(0(x1))))))
       
       0(5(3(0(1(x1))))) = 1x1 >= 1x1 = 1(0(5(3(0(4(x1))))))
       
       0(5(3(4(1(x1))))) = 1x1 >= 1x1 = 1(0(3(5(4(5(x1))))))
       
       0(5(4(0(1(x1))))) = 1x1 >= 1x1 = 0(1(3(0(4(5(x1))))))
       
       5(4(2(1(1(x1))))) = 2x1 >= 2x1 = 5(4(1(2(1(2(x1))))))
      problem:
       DPs:
        0#(0(2(1(x1)))) -> 0#(1(x1))
       TRS:
        0(0(1(x1))) -> 0(1(2(0(x1))))
        0(0(1(x1))) -> 0(3(1(0(x1))))
        0(0(1(x1))) -> 1(0(4(0(x1))))
        0(0(1(x1))) -> 0(1(3(0(2(x1)))))
        0(0(1(x1))) -> 0(1(3(0(4(x1)))))
        0(0(1(x1))) -> 0(2(0(1(2(x1)))))
        0(0(1(x1))) -> 0(3(0(1(2(x1)))))
        0(0(1(x1))) -> 0(3(0(3(1(x1)))))
        0(0(1(x1))) -> 0(4(0(4(1(x1)))))
        0(0(1(x1))) -> 1(2(0(2(0(x1)))))
        0(0(1(x1))) -> 1(2(2(0(0(x1)))))
        0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
        0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
        0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
        0(1(1(x1))) -> 0(2(1(1(x1))))
        0(1(1(x1))) -> 0(3(1(1(x1))))
        0(1(1(x1))) -> 1(1(3(0(4(x1)))))
        0(1(1(x1))) -> 1(2(0(2(1(x1)))))
        0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
        0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
        0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
        0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
        0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
        0(5(1(x1))) -> 0(3(1(5(x1))))
        0(5(1(x1))) -> 0(4(5(1(x1))))
        0(5(1(x1))) -> 0(2(3(1(5(x1)))))
        0(5(1(x1))) -> 0(3(1(5(2(x1)))))
        0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
        5(0(1(x1))) -> 5(1(2(4(0(x1)))))
        5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
        5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
        0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
        0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
        0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
        0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
        0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
        5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
        5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
        5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
        5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
        5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
        0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
        0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
        0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
        0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
        5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
      Restore Modifier:
       DPs:
        0#(0(2(1(x1)))) -> 0#(1(x1))
       TRS:
        0(0(1(x1))) -> 0(1(2(0(x1))))
        0(0(1(x1))) -> 0(3(1(0(x1))))
        0(0(1(x1))) -> 1(0(4(0(x1))))
        0(0(1(x1))) -> 0(1(3(0(2(x1)))))
        0(0(1(x1))) -> 0(1(3(0(4(x1)))))
        0(0(1(x1))) -> 0(2(0(1(2(x1)))))
        0(0(1(x1))) -> 0(3(0(1(2(x1)))))
        0(0(1(x1))) -> 0(3(0(3(1(x1)))))
        0(0(1(x1))) -> 0(4(0(4(1(x1)))))
        0(0(1(x1))) -> 1(2(0(2(0(x1)))))
        0(0(1(x1))) -> 1(2(2(0(0(x1)))))
        0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
        0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
        0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
        0(1(1(x1))) -> 0(2(1(1(x1))))
        0(1(1(x1))) -> 0(3(1(1(x1))))
        0(1(1(x1))) -> 1(1(3(0(4(x1)))))
        0(1(1(x1))) -> 1(2(0(2(1(x1)))))
        0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
        0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
        0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
        0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
        0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
        0(5(1(x1))) -> 0(3(1(5(x1))))
        0(5(1(x1))) -> 0(4(5(1(x1))))
        0(5(1(x1))) -> 0(2(3(1(5(x1)))))
        0(5(1(x1))) -> 0(3(1(5(2(x1)))))
        0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
        5(0(1(x1))) -> 5(1(2(4(0(x1)))))
        5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
        5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
        0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
        0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
        0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
        0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
        0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
        5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
        5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
        5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
        5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
        5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
        0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
        0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
        0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
        0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
        5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
       EDG Processor:
        DPs:
         0#(0(2(1(x1)))) -> 0#(1(x1))
        TRS:
         0(0(1(x1))) -> 0(1(2(0(x1))))
         0(0(1(x1))) -> 0(3(1(0(x1))))
         0(0(1(x1))) -> 1(0(4(0(x1))))
         0(0(1(x1))) -> 0(1(3(0(2(x1)))))
         0(0(1(x1))) -> 0(1(3(0(4(x1)))))
         0(0(1(x1))) -> 0(2(0(1(2(x1)))))
         0(0(1(x1))) -> 0(3(0(1(2(x1)))))
         0(0(1(x1))) -> 0(3(0(3(1(x1)))))
         0(0(1(x1))) -> 0(4(0(4(1(x1)))))
         0(0(1(x1))) -> 1(2(0(2(0(x1)))))
         0(0(1(x1))) -> 1(2(2(0(0(x1)))))
         0(0(1(x1))) -> 0(0(2(2(1(2(x1))))))
         0(0(1(x1))) -> 0(1(2(4(2(0(x1))))))
         0(0(1(x1))) -> 1(2(0(3(0(4(x1))))))
         0(1(1(x1))) -> 0(2(1(1(x1))))
         0(1(1(x1))) -> 0(3(1(1(x1))))
         0(1(1(x1))) -> 1(1(3(0(4(x1)))))
         0(1(1(x1))) -> 1(2(0(2(1(x1)))))
         0(1(1(x1))) -> 1(0(3(1(2(4(x1))))))
         0(1(1(x1))) -> 1(0(4(2(1(2(x1))))))
         0(1(1(x1))) -> 1(1(2(4(3(0(x1))))))
         0(1(1(x1))) -> 1(2(1(0(4(4(x1))))))
         0(1(1(x1))) -> 1(2(2(1(3(0(x1))))))
         0(5(1(x1))) -> 0(3(1(5(x1))))
         0(5(1(x1))) -> 0(4(5(1(x1))))
         0(5(1(x1))) -> 0(2(3(1(5(x1)))))
         0(5(1(x1))) -> 0(3(1(5(2(x1)))))
         0(5(1(x1))) -> 0(3(1(2(5(2(x1))))))
         5(0(1(x1))) -> 5(1(2(4(0(x1)))))
         5(0(1(x1))) -> 5(0(2(1(2(4(x1))))))
         5(0(1(x1))) -> 5(1(2(3(0(4(x1))))))
         0(0(1(5(x1)))) -> 0(4(1(0(5(x1)))))
         0(0(2(1(x1)))) -> 2(0(3(0(2(1(x1))))))
         0(0(2(1(x1)))) -> 2(3(0(2(0(1(x1))))))
         0(1(0(1(x1)))) -> 1(0(2(0(1(x1)))))
         0(1(1(1(x1)))) -> 1(1(3(1(0(x1)))))
         5(0(1(1(x1)))) -> 1(5(1(2(0(x1)))))
         5(3(0(1(x1)))) -> 5(1(2(3(0(x1)))))
         5(3(1(5(x1)))) -> 5(3(1(2(5(x1)))))
         5(3(2(1(x1)))) -> 1(2(3(5(2(x1)))))
         5(4(0(1(x1)))) -> 1(2(5(0(4(x1)))))
         0(0(5(1(5(x1))))) -> 1(2(5(5(0(0(x1))))))
         0(5(3(0(1(x1))))) -> 1(0(5(3(0(4(x1))))))
         0(5(3(4(1(x1))))) -> 1(0(3(5(4(5(x1))))))
         0(5(4(0(1(x1))))) -> 0(1(3(0(4(5(x1))))))
         5(4(2(1(1(x1))))) -> 5(4(1(2(1(2(x1))))))
        graph:
         
        Qed