YES

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

Proof:
 DP Processor:
  DPs:
   0#(1(1(x1))) -> 0#(x1)
   0#(3(1(x1))) -> 0#(x1)
   0#(3(1(x1))) -> 3#(2(2(0(x1))))
   0#(3(1(x1))) -> 3#(2(1(2(0(x1)))))
   0#(3(1(x1))) -> 3#(2(0(x1)))
   0#(3(1(x1))) -> 3#(3(2(0(x1))))
   0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
   0#(4(1(x1))) -> 4#(x1)
   0#(4(1(x1))) -> 0#(4(x1))
   0#(0(4(5(x1)))) -> 4#(x1)
   0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
   0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
   0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
   0#(1(4(5(x1)))) -> 4#(x1)
   0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
   0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
   0#(1(5(1(x1)))) -> 0#(1(x1))
   0#(1(5(3(x1)))) -> 3#(2(1(x1)))
   0#(1(5(3(x1)))) -> 0#(5(3(2(1(x1)))))
   0#(2(4(1(x1)))) -> 4#(x1)
   0#(2(4(1(x1)))) -> 0#(4(x1))
   0#(2(4(1(x1)))) -> 3#(2(0(4(x1))))
   0#(2(4(1(x1)))) -> 3#(3(2(0(4(x1)))))
   0#(2(4(1(x1)))) -> 4#(2(1(2(0(4(x1))))))
   0#(2(4(5(x1)))) -> 4#(x1)
   0#(2(4(5(x1)))) -> 0#(4(x1))
   0#(2(4(5(x1)))) -> 0#(2(2(5(0(4(x1))))))
   0#(3(1(5(x1)))) -> 3#(x1)
   0#(3(1(5(x1)))) -> 0#(1(2(5(3(x1)))))
   0#(3(1(5(x1)))) -> 4#(x1)
   0#(3(1(5(x1)))) -> 0#(4(x1))
   0#(3(1(5(x1)))) -> 3#(0(4(x1)))
   0#(3(5(1(x1)))) -> 0#(x1)
   0#(3(5(1(x1)))) -> 3#(0(x1))
   0#(3(5(1(x1)))) -> 3#(x1)
   0#(3(5(1(x1)))) -> 0#(5(2(1(2(3(x1))))))
   0#(3(5(5(x1)))) -> 3#(2(5(5(x1))))
   0#(3(5(5(x1)))) -> 0#(3(2(5(5(x1)))))
   0#(4(0(1(x1)))) -> 4#(4(0(1(x1))))
   0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
   0#(4(1(5(x1)))) -> 4#(x1)
   0#(4(1(5(x1)))) -> 0#(4(x1))
   0#(4(3(5(x1)))) -> 4#(x1)
   0#(4(3(5(x1)))) -> 3#(2(5(4(x1))))
   0#(4(3(5(x1)))) -> 4#(3(2(5(4(x1)))))
   0#(4(3(5(x1)))) -> 0#(4(3(2(5(4(x1))))))
   0#(4(5(1(x1)))) -> 0#(1(x1))
   0#(4(5(1(x1)))) -> 4#(0(1(x1)))
   0#(4(5(1(x1)))) -> 4#(4(0(1(x1))))
   3#(0(1(5(x1)))) -> 4#(x1)
   3#(0(1(5(x1)))) -> 0#(5(4(x1)))
   3#(0(1(5(x1)))) -> 4#(0(5(4(x1))))
   3#(0(1(5(x1)))) -> 3#(1(4(0(5(4(x1))))))
   3#(0(3(1(x1)))) -> 0#(x1)
   3#(0(3(1(x1)))) -> 3#(2(0(x1)))
   3#(0(3(1(x1)))) -> 3#(3(2(0(x1))))
   3#(0(3(5(x1)))) -> 3#(x1)
   3#(0(3(5(x1)))) -> 0#(2(3(x1)))
   3#(0(3(5(x1)))) -> 3#(2(5(0(2(3(x1))))))
   3#(3(0(1(x1)))) -> 3#(x1)
   3#(3(0(1(x1)))) -> 3#(2(2(3(x1))))
   3#(3(0(1(x1)))) -> 0#(1(3(2(2(3(x1))))))
   3#(4(5(1(x1)))) -> 4#(2(1(x1)))
   3#(4(5(1(x1)))) -> 3#(2(5(4(2(1(x1))))))
   4#(1(3(5(x1)))) -> 4#(x1)
   4#(1(3(5(x1)))) -> 4#(4(x1))
   4#(1(3(5(x1)))) -> 3#(4(4(x1)))
   4#(1(5(1(x1)))) -> 4#(5(1(2(1(x1)))))
   4#(1(5(1(x1)))) -> 4#(4(5(1(2(1(x1))))))
   4#(4(1(5(x1)))) -> 4#(x1)
   4#(4(1(5(x1)))) -> 4#(1(2(5(4(x1)))))
   0#(1(4(5(5(x1))))) -> 4#(2(5(x1)))
   0#(1(4(5(5(x1))))) -> 0#(5(1(4(2(5(x1))))))
   0#(2(1(4(5(x1))))) -> 4#(x1)
   0#(2(1(4(5(x1))))) -> 0#(1(2(5(4(x1)))))
   0#(2(1(4(5(x1))))) -> 0#(0(1(2(5(4(x1))))))
   0#(2(1(5(5(x1))))) -> 0#(1(2(2(5(5(x1))))))
   0#(4(2(4(1(x1))))) -> 4#(x1)
   0#(4(2(4(1(x1))))) -> 4#(4(x1))
   0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
   0#(4(2(4(1(x1))))) -> 3#(2(0(4(4(x1)))))
   0#(4(5(4(3(x1))))) -> 4#(4(3(x1)))
   0#(4(5(4(3(x1))))) -> 0#(4(4(3(x1))))
   0#(5(1(5(1(x1))))) -> 0#(5(1(1(2(5(x1))))))
   0#(5(2(1(5(x1))))) -> 4#(x1)
   0#(5(2(1(5(x1))))) -> 0#(4(x1))
   0#(5(2(4(1(x1))))) -> 0#(x1)
   0#(5(2(4(1(x1))))) -> 4#(5(2(1(2(0(x1))))))
   3#(0(1(4(1(x1))))) -> 3#(1(x1))
   3#(0(1(4(1(x1))))) -> 4#(1(3(1(x1))))
   3#(0(1(4(1(x1))))) -> 4#(4(1(3(1(x1)))))
   3#(0(1(4(1(x1))))) -> 0#(4(4(1(3(1(x1))))))
   3#(0(1(4(1(x1))))) -> 0#(1(1(x1)))
   3#(0(1(4(1(x1))))) -> 3#(2(0(1(1(x1)))))
   3#(0(1(4(1(x1))))) -> 4#(3(2(0(1(1(x1))))))
   3#(0(3(5(5(x1))))) -> 0#(5(x1))
   3#(0(3(5(5(x1))))) -> 3#(2(5(0(5(x1)))))
   3#(0(3(5(5(x1))))) -> 3#(3(2(5(0(5(x1))))))
   3#(0(5(3(1(x1))))) -> 3#(2(5(x1)))
   3#(0(5(3(1(x1))))) -> 3#(3(2(5(x1))))
   3#(0(5(3(1(x1))))) -> 0#(3(3(2(5(x1)))))
   4#(0(1(4(1(x1))))) -> 3#(1(x1))
   4#(0(1(4(1(x1))))) -> 0#(1(3(1(x1))))
   4#(0(1(4(1(x1))))) -> 4#(0(1(3(1(x1)))))
   4#(0(1(4(1(x1))))) -> 4#(4(0(1(3(1(x1))))))
   4#(0(1(5(1(x1))))) -> 4#(1(x1))
   4#(0(1(5(1(x1))))) -> 0#(1(2(5(4(1(x1))))))
   4#(0(2(4(5(x1))))) -> 4#(x1)
   4#(0(2(4(5(x1))))) -> 0#(4(x1))
   4#(0(2(4(5(x1))))) -> 0#(2(5(0(4(x1)))))
   4#(0(2(4(5(x1))))) -> 4#(0(2(5(0(4(x1))))))
   4#(1(1(5(1(x1))))) -> 4#(1(x1))
   4#(5(1(4(1(x1))))) -> 4#(1(2(1(5(x1)))))
   4#(5(1(4(1(x1))))) -> 4#(4(1(2(1(5(x1))))))
   4#(5(2(3(1(x1))))) -> 3#(1(2(2(5(x1)))))
   4#(5(2(3(1(x1))))) -> 4#(3(1(2(2(5(x1))))))
   4#(5(4(3(1(x1))))) -> 4#(x1)
   4#(5(4(3(1(x1))))) -> 3#(4(x1))
   4#(5(4(3(1(x1))))) -> 4#(1(2(5(3(4(x1))))))
   4#(5(5(3(1(x1))))) -> 4#(x1)
   4#(5(5(3(1(x1))))) -> 3#(2(5(5(4(x1)))))
  TRS:
   0(1(1(x1))) -> 1(2(1(2(0(x1)))))
   0(3(1(x1))) -> 1(3(2(2(0(x1)))))
   0(3(1(x1))) -> 3(2(1(2(0(x1)))))
   0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
   0(4(1(x1))) -> 2(1(2(0(4(x1)))))
   0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
   0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
   0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
   0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
   0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
   0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
   0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
   0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
   0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
   0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
   0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
   0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
   0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
   0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
   0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
   0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
   0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
   3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
   3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
   3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
   3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
   3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
   4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
   4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
   4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
   0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
   0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
   0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
   0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
   0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
   0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
   0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
   0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
   3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
   3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
   3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
   3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
   4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
   4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
   4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
   4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
   4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
   4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
   4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
   4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
  TDG Processor:
   DPs:
    0#(1(1(x1))) -> 0#(x1)
    0#(3(1(x1))) -> 0#(x1)
    0#(3(1(x1))) -> 3#(2(2(0(x1))))
    0#(3(1(x1))) -> 3#(2(1(2(0(x1)))))
    0#(3(1(x1))) -> 3#(2(0(x1)))
    0#(3(1(x1))) -> 3#(3(2(0(x1))))
    0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
    0#(4(1(x1))) -> 4#(x1)
    0#(4(1(x1))) -> 0#(4(x1))
    0#(0(4(5(x1)))) -> 4#(x1)
    0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
    0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
    0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
    0#(1(4(5(x1)))) -> 4#(x1)
    0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
    0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
    0#(1(5(1(x1)))) -> 0#(1(x1))
    0#(1(5(3(x1)))) -> 3#(2(1(x1)))
    0#(1(5(3(x1)))) -> 0#(5(3(2(1(x1)))))
    0#(2(4(1(x1)))) -> 4#(x1)
    0#(2(4(1(x1)))) -> 0#(4(x1))
    0#(2(4(1(x1)))) -> 3#(2(0(4(x1))))
    0#(2(4(1(x1)))) -> 3#(3(2(0(4(x1)))))
    0#(2(4(1(x1)))) -> 4#(2(1(2(0(4(x1))))))
    0#(2(4(5(x1)))) -> 4#(x1)
    0#(2(4(5(x1)))) -> 0#(4(x1))
    0#(2(4(5(x1)))) -> 0#(2(2(5(0(4(x1))))))
    0#(3(1(5(x1)))) -> 3#(x1)
    0#(3(1(5(x1)))) -> 0#(1(2(5(3(x1)))))
    0#(3(1(5(x1)))) -> 4#(x1)
    0#(3(1(5(x1)))) -> 0#(4(x1))
    0#(3(1(5(x1)))) -> 3#(0(4(x1)))
    0#(3(5(1(x1)))) -> 0#(x1)
    0#(3(5(1(x1)))) -> 3#(0(x1))
    0#(3(5(1(x1)))) -> 3#(x1)
    0#(3(5(1(x1)))) -> 0#(5(2(1(2(3(x1))))))
    0#(3(5(5(x1)))) -> 3#(2(5(5(x1))))
    0#(3(5(5(x1)))) -> 0#(3(2(5(5(x1)))))
    0#(4(0(1(x1)))) -> 4#(4(0(1(x1))))
    0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
    0#(4(1(5(x1)))) -> 4#(x1)
    0#(4(1(5(x1)))) -> 0#(4(x1))
    0#(4(3(5(x1)))) -> 4#(x1)
    0#(4(3(5(x1)))) -> 3#(2(5(4(x1))))
    0#(4(3(5(x1)))) -> 4#(3(2(5(4(x1)))))
    0#(4(3(5(x1)))) -> 0#(4(3(2(5(4(x1))))))
    0#(4(5(1(x1)))) -> 0#(1(x1))
    0#(4(5(1(x1)))) -> 4#(0(1(x1)))
    0#(4(5(1(x1)))) -> 4#(4(0(1(x1))))
    3#(0(1(5(x1)))) -> 4#(x1)
    3#(0(1(5(x1)))) -> 0#(5(4(x1)))
    3#(0(1(5(x1)))) -> 4#(0(5(4(x1))))
    3#(0(1(5(x1)))) -> 3#(1(4(0(5(4(x1))))))
    3#(0(3(1(x1)))) -> 0#(x1)
    3#(0(3(1(x1)))) -> 3#(2(0(x1)))
    3#(0(3(1(x1)))) -> 3#(3(2(0(x1))))
    3#(0(3(5(x1)))) -> 3#(x1)
    3#(0(3(5(x1)))) -> 0#(2(3(x1)))
    3#(0(3(5(x1)))) -> 3#(2(5(0(2(3(x1))))))
    3#(3(0(1(x1)))) -> 3#(x1)
    3#(3(0(1(x1)))) -> 3#(2(2(3(x1))))
    3#(3(0(1(x1)))) -> 0#(1(3(2(2(3(x1))))))
    3#(4(5(1(x1)))) -> 4#(2(1(x1)))
    3#(4(5(1(x1)))) -> 3#(2(5(4(2(1(x1))))))
    4#(1(3(5(x1)))) -> 4#(x1)
    4#(1(3(5(x1)))) -> 4#(4(x1))
    4#(1(3(5(x1)))) -> 3#(4(4(x1)))
    4#(1(5(1(x1)))) -> 4#(5(1(2(1(x1)))))
    4#(1(5(1(x1)))) -> 4#(4(5(1(2(1(x1))))))
    4#(4(1(5(x1)))) -> 4#(x1)
    4#(4(1(5(x1)))) -> 4#(1(2(5(4(x1)))))
    0#(1(4(5(5(x1))))) -> 4#(2(5(x1)))
    0#(1(4(5(5(x1))))) -> 0#(5(1(4(2(5(x1))))))
    0#(2(1(4(5(x1))))) -> 4#(x1)
    0#(2(1(4(5(x1))))) -> 0#(1(2(5(4(x1)))))
    0#(2(1(4(5(x1))))) -> 0#(0(1(2(5(4(x1))))))
    0#(2(1(5(5(x1))))) -> 0#(1(2(2(5(5(x1))))))
    0#(4(2(4(1(x1))))) -> 4#(x1)
    0#(4(2(4(1(x1))))) -> 4#(4(x1))
    0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
    0#(4(2(4(1(x1))))) -> 3#(2(0(4(4(x1)))))
    0#(4(5(4(3(x1))))) -> 4#(4(3(x1)))
    0#(4(5(4(3(x1))))) -> 0#(4(4(3(x1))))
    0#(5(1(5(1(x1))))) -> 0#(5(1(1(2(5(x1))))))
    0#(5(2(1(5(x1))))) -> 4#(x1)
    0#(5(2(1(5(x1))))) -> 0#(4(x1))
    0#(5(2(4(1(x1))))) -> 0#(x1)
    0#(5(2(4(1(x1))))) -> 4#(5(2(1(2(0(x1))))))
    3#(0(1(4(1(x1))))) -> 3#(1(x1))
    3#(0(1(4(1(x1))))) -> 4#(1(3(1(x1))))
    3#(0(1(4(1(x1))))) -> 4#(4(1(3(1(x1)))))
    3#(0(1(4(1(x1))))) -> 0#(4(4(1(3(1(x1))))))
    3#(0(1(4(1(x1))))) -> 0#(1(1(x1)))
    3#(0(1(4(1(x1))))) -> 3#(2(0(1(1(x1)))))
    3#(0(1(4(1(x1))))) -> 4#(3(2(0(1(1(x1))))))
    3#(0(3(5(5(x1))))) -> 0#(5(x1))
    3#(0(3(5(5(x1))))) -> 3#(2(5(0(5(x1)))))
    3#(0(3(5(5(x1))))) -> 3#(3(2(5(0(5(x1))))))
    3#(0(5(3(1(x1))))) -> 3#(2(5(x1)))
    3#(0(5(3(1(x1))))) -> 3#(3(2(5(x1))))
    3#(0(5(3(1(x1))))) -> 0#(3(3(2(5(x1)))))
    4#(0(1(4(1(x1))))) -> 3#(1(x1))
    4#(0(1(4(1(x1))))) -> 0#(1(3(1(x1))))
    4#(0(1(4(1(x1))))) -> 4#(0(1(3(1(x1)))))
    4#(0(1(4(1(x1))))) -> 4#(4(0(1(3(1(x1))))))
    4#(0(1(5(1(x1))))) -> 4#(1(x1))
    4#(0(1(5(1(x1))))) -> 0#(1(2(5(4(1(x1))))))
    4#(0(2(4(5(x1))))) -> 4#(x1)
    4#(0(2(4(5(x1))))) -> 0#(4(x1))
    4#(0(2(4(5(x1))))) -> 0#(2(5(0(4(x1)))))
    4#(0(2(4(5(x1))))) -> 4#(0(2(5(0(4(x1))))))
    4#(1(1(5(1(x1))))) -> 4#(1(x1))
    4#(5(1(4(1(x1))))) -> 4#(1(2(1(5(x1)))))
    4#(5(1(4(1(x1))))) -> 4#(4(1(2(1(5(x1))))))
    4#(5(2(3(1(x1))))) -> 3#(1(2(2(5(x1)))))
    4#(5(2(3(1(x1))))) -> 4#(3(1(2(2(5(x1))))))
    4#(5(4(3(1(x1))))) -> 4#(x1)
    4#(5(4(3(1(x1))))) -> 3#(4(x1))
    4#(5(4(3(1(x1))))) -> 4#(1(2(5(3(4(x1))))))
    4#(5(5(3(1(x1))))) -> 4#(x1)
    4#(5(5(3(1(x1))))) -> 3#(2(5(5(4(x1)))))
   TRS:
    0(1(1(x1))) -> 1(2(1(2(0(x1)))))
    0(3(1(x1))) -> 1(3(2(2(0(x1)))))
    0(3(1(x1))) -> 3(2(1(2(0(x1)))))
    0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
    0(4(1(x1))) -> 2(1(2(0(4(x1)))))
    0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
    0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
    0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
    0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
    0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
    0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
    0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
    0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
    0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
    0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
    0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
    0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
    0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
    0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
    0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
    0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
    0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
    3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
    3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
    3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
    3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
    3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
    4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
    4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
    4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
    0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
    0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
    0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
    0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
    0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
    0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
    0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
    0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
    3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
    3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
    3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
    3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
    4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
    4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
    4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
    4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
    4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
    4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
    4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
    4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
   graph:
    ...
   Arctic Interpretation Processor:
    dimension: 1
    interpretation:
     [4#](x0) = x0,
     
     [3#](x0) = x0,
     
     [0#](x0) = x0,
     
     [5](x0) = 1x0,
     
     [4](x0) = x0,
     
     [3](x0) = x0,
     
     [2](x0) = x0,
     
     [0](x0) = x0,
     
     [1](x0) = x0
    orientation:
     0#(1(1(x1))) = x1 >= x1 = 0#(x1)
     
     0#(3(1(x1))) = x1 >= x1 = 0#(x1)
     
     0#(3(1(x1))) = x1 >= x1 = 3#(2(2(0(x1))))
     
     0#(3(1(x1))) = x1 >= x1 = 3#(2(1(2(0(x1)))))
     
     0#(3(1(x1))) = x1 >= x1 = 3#(2(0(x1)))
     
     0#(3(1(x1))) = x1 >= x1 = 3#(3(2(0(x1))))
     
     0#(3(1(x1))) = x1 >= x1 = 3#(3(3(2(0(x1)))))
     
     0#(4(1(x1))) = x1 >= x1 = 4#(x1)
     
     0#(4(1(x1))) = x1 >= x1 = 0#(4(x1))
     
     0#(0(4(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     0#(0(4(5(x1)))) = 1x1 >= 1x1 = 0#(2(5(4(x1))))
     
     0#(0(4(5(x1)))) = 1x1 >= 1x1 = 0#(0(2(5(4(x1)))))
     
     0#(1(4(1(x1)))) = x1 >= x1 = 0#(1(2(2(4(1(x1))))))
     
     0#(1(4(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     0#(1(4(5(x1)))) = 1x1 >= 1x1 = 0#(1(2(5(4(x1)))))
     
     0#(1(4(5(x1)))) = 1x1 >= 1x1 = 4#(0(1(2(5(4(x1))))))
     
     0#(1(5(1(x1)))) = 1x1 >= x1 = 0#(1(x1))
     
     0#(1(5(3(x1)))) = 1x1 >= x1 = 3#(2(1(x1)))
     
     0#(1(5(3(x1)))) = 1x1 >= 1x1 = 0#(5(3(2(1(x1)))))
     
     0#(2(4(1(x1)))) = x1 >= x1 = 4#(x1)
     
     0#(2(4(1(x1)))) = x1 >= x1 = 0#(4(x1))
     
     0#(2(4(1(x1)))) = x1 >= x1 = 3#(2(0(4(x1))))
     
     0#(2(4(1(x1)))) = x1 >= x1 = 3#(3(2(0(4(x1)))))
     
     0#(2(4(1(x1)))) = x1 >= x1 = 4#(2(1(2(0(4(x1))))))
     
     0#(2(4(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     0#(2(4(5(x1)))) = 1x1 >= x1 = 0#(4(x1))
     
     0#(2(4(5(x1)))) = 1x1 >= 1x1 = 0#(2(2(5(0(4(x1))))))
     
     0#(3(1(5(x1)))) = 1x1 >= x1 = 3#(x1)
     
     0#(3(1(5(x1)))) = 1x1 >= 1x1 = 0#(1(2(5(3(x1)))))
     
     0#(3(1(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     0#(3(1(5(x1)))) = 1x1 >= x1 = 0#(4(x1))
     
     0#(3(1(5(x1)))) = 1x1 >= x1 = 3#(0(4(x1)))
     
     0#(3(5(1(x1)))) = 1x1 >= x1 = 0#(x1)
     
     0#(3(5(1(x1)))) = 1x1 >= x1 = 3#(0(x1))
     
     0#(3(5(1(x1)))) = 1x1 >= x1 = 3#(x1)
     
     0#(3(5(1(x1)))) = 1x1 >= 1x1 = 0#(5(2(1(2(3(x1))))))
     
     0#(3(5(5(x1)))) = 2x1 >= 2x1 = 3#(2(5(5(x1))))
     
     0#(3(5(5(x1)))) = 2x1 >= 2x1 = 0#(3(2(5(5(x1)))))
     
     0#(4(0(1(x1)))) = x1 >= x1 = 4#(4(0(1(x1))))
     
     0#(4(0(1(x1)))) = x1 >= x1 = 0#(4(4(0(1(x1)))))
     
     0#(4(1(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     0#(4(1(5(x1)))) = 1x1 >= x1 = 0#(4(x1))
     
     0#(4(3(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     0#(4(3(5(x1)))) = 1x1 >= 1x1 = 3#(2(5(4(x1))))
     
     0#(4(3(5(x1)))) = 1x1 >= 1x1 = 4#(3(2(5(4(x1)))))
     
     0#(4(3(5(x1)))) = 1x1 >= 1x1 = 0#(4(3(2(5(4(x1))))))
     
     0#(4(5(1(x1)))) = 1x1 >= x1 = 0#(1(x1))
     
     0#(4(5(1(x1)))) = 1x1 >= x1 = 4#(0(1(x1)))
     
     0#(4(5(1(x1)))) = 1x1 >= x1 = 4#(4(0(1(x1))))
     
     3#(0(1(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     3#(0(1(5(x1)))) = 1x1 >= 1x1 = 0#(5(4(x1)))
     
     3#(0(1(5(x1)))) = 1x1 >= 1x1 = 4#(0(5(4(x1))))
     
     3#(0(1(5(x1)))) = 1x1 >= 1x1 = 3#(1(4(0(5(4(x1))))))
     
     3#(0(3(1(x1)))) = x1 >= x1 = 0#(x1)
     
     3#(0(3(1(x1)))) = x1 >= x1 = 3#(2(0(x1)))
     
     3#(0(3(1(x1)))) = x1 >= x1 = 3#(3(2(0(x1))))
     
     3#(0(3(5(x1)))) = 1x1 >= x1 = 3#(x1)
     
     3#(0(3(5(x1)))) = 1x1 >= x1 = 0#(2(3(x1)))
     
     3#(0(3(5(x1)))) = 1x1 >= 1x1 = 3#(2(5(0(2(3(x1))))))
     
     3#(3(0(1(x1)))) = x1 >= x1 = 3#(x1)
     
     3#(3(0(1(x1)))) = x1 >= x1 = 3#(2(2(3(x1))))
     
     3#(3(0(1(x1)))) = x1 >= x1 = 0#(1(3(2(2(3(x1))))))
     
     3#(4(5(1(x1)))) = 1x1 >= x1 = 4#(2(1(x1)))
     
     3#(4(5(1(x1)))) = 1x1 >= 1x1 = 3#(2(5(4(2(1(x1))))))
     
     4#(1(3(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     4#(1(3(5(x1)))) = 1x1 >= x1 = 4#(4(x1))
     
     4#(1(3(5(x1)))) = 1x1 >= x1 = 3#(4(4(x1)))
     
     4#(1(5(1(x1)))) = 1x1 >= 1x1 = 4#(5(1(2(1(x1)))))
     
     4#(1(5(1(x1)))) = 1x1 >= 1x1 = 4#(4(5(1(2(1(x1))))))
     
     4#(4(1(5(x1)))) = 1x1 >= x1 = 4#(x1)
     
     4#(4(1(5(x1)))) = 1x1 >= 1x1 = 4#(1(2(5(4(x1)))))
     
     0#(1(4(5(5(x1))))) = 2x1 >= 1x1 = 4#(2(5(x1)))
     
     0#(1(4(5(5(x1))))) = 2x1 >= 2x1 = 0#(5(1(4(2(5(x1))))))
     
     0#(2(1(4(5(x1))))) = 1x1 >= x1 = 4#(x1)
     
     0#(2(1(4(5(x1))))) = 1x1 >= 1x1 = 0#(1(2(5(4(x1)))))
     
     0#(2(1(4(5(x1))))) = 1x1 >= 1x1 = 0#(0(1(2(5(4(x1))))))
     
     0#(2(1(5(5(x1))))) = 2x1 >= 2x1 = 0#(1(2(2(5(5(x1))))))
     
     0#(4(2(4(1(x1))))) = x1 >= x1 = 4#(x1)
     
     0#(4(2(4(1(x1))))) = x1 >= x1 = 4#(4(x1))
     
     0#(4(2(4(1(x1))))) = x1 >= x1 = 0#(4(4(x1)))
     
     0#(4(2(4(1(x1))))) = x1 >= x1 = 3#(2(0(4(4(x1)))))
     
     0#(4(5(4(3(x1))))) = 1x1 >= x1 = 4#(4(3(x1)))
     
     0#(4(5(4(3(x1))))) = 1x1 >= x1 = 0#(4(4(3(x1))))
     
     0#(5(1(5(1(x1))))) = 2x1 >= 2x1 = 0#(5(1(1(2(5(x1))))))
     
     0#(5(2(1(5(x1))))) = 2x1 >= x1 = 4#(x1)
     
     0#(5(2(1(5(x1))))) = 2x1 >= x1 = 0#(4(x1))
     
     0#(5(2(4(1(x1))))) = 1x1 >= x1 = 0#(x1)
     
     0#(5(2(4(1(x1))))) = 1x1 >= 1x1 = 4#(5(2(1(2(0(x1))))))
     
     3#(0(1(4(1(x1))))) = x1 >= x1 = 3#(1(x1))
     
     3#(0(1(4(1(x1))))) = x1 >= x1 = 4#(1(3(1(x1))))
     
     3#(0(1(4(1(x1))))) = x1 >= x1 = 4#(4(1(3(1(x1)))))
     
     3#(0(1(4(1(x1))))) = x1 >= x1 = 0#(4(4(1(3(1(x1))))))
     
     3#(0(1(4(1(x1))))) = x1 >= x1 = 0#(1(1(x1)))
     
     3#(0(1(4(1(x1))))) = x1 >= x1 = 3#(2(0(1(1(x1)))))
     
     3#(0(1(4(1(x1))))) = x1 >= x1 = 4#(3(2(0(1(1(x1))))))
     
     3#(0(3(5(5(x1))))) = 2x1 >= 1x1 = 0#(5(x1))
     
     3#(0(3(5(5(x1))))) = 2x1 >= 2x1 = 3#(2(5(0(5(x1)))))
     
     3#(0(3(5(5(x1))))) = 2x1 >= 2x1 = 3#(3(2(5(0(5(x1))))))
     
     3#(0(5(3(1(x1))))) = 1x1 >= 1x1 = 3#(2(5(x1)))
     
     3#(0(5(3(1(x1))))) = 1x1 >= 1x1 = 3#(3(2(5(x1))))
     
     3#(0(5(3(1(x1))))) = 1x1 >= 1x1 = 0#(3(3(2(5(x1)))))
     
     4#(0(1(4(1(x1))))) = x1 >= x1 = 3#(1(x1))
     
     4#(0(1(4(1(x1))))) = x1 >= x1 = 0#(1(3(1(x1))))
     
     4#(0(1(4(1(x1))))) = x1 >= x1 = 4#(0(1(3(1(x1)))))
     
     4#(0(1(4(1(x1))))) = x1 >= x1 = 4#(4(0(1(3(1(x1))))))
     
     4#(0(1(5(1(x1))))) = 1x1 >= x1 = 4#(1(x1))
     
     4#(0(1(5(1(x1))))) = 1x1 >= 1x1 = 0#(1(2(5(4(1(x1))))))
     
     4#(0(2(4(5(x1))))) = 1x1 >= x1 = 4#(x1)
     
     4#(0(2(4(5(x1))))) = 1x1 >= x1 = 0#(4(x1))
     
     4#(0(2(4(5(x1))))) = 1x1 >= 1x1 = 0#(2(5(0(4(x1)))))
     
     4#(0(2(4(5(x1))))) = 1x1 >= 1x1 = 4#(0(2(5(0(4(x1))))))
     
     4#(1(1(5(1(x1))))) = 1x1 >= x1 = 4#(1(x1))
     
     4#(5(1(4(1(x1))))) = 1x1 >= 1x1 = 4#(1(2(1(5(x1)))))
     
     4#(5(1(4(1(x1))))) = 1x1 >= 1x1 = 4#(4(1(2(1(5(x1))))))
     
     4#(5(2(3(1(x1))))) = 1x1 >= 1x1 = 3#(1(2(2(5(x1)))))
     
     4#(5(2(3(1(x1))))) = 1x1 >= 1x1 = 4#(3(1(2(2(5(x1))))))
     
     4#(5(4(3(1(x1))))) = 1x1 >= x1 = 4#(x1)
     
     4#(5(4(3(1(x1))))) = 1x1 >= x1 = 3#(4(x1))
     
     4#(5(4(3(1(x1))))) = 1x1 >= 1x1 = 4#(1(2(5(3(4(x1))))))
     
     4#(5(5(3(1(x1))))) = 2x1 >= x1 = 4#(x1)
     
     4#(5(5(3(1(x1))))) = 2x1 >= 2x1 = 3#(2(5(5(4(x1)))))
     
     0(1(1(x1))) = x1 >= x1 = 1(2(1(2(0(x1)))))
     
     0(3(1(x1))) = x1 >= x1 = 1(3(2(2(0(x1)))))
     
     0(3(1(x1))) = x1 >= x1 = 3(2(1(2(0(x1)))))
     
     0(3(1(x1))) = x1 >= x1 = 1(3(3(3(2(0(x1))))))
     
     0(4(1(x1))) = x1 >= x1 = 2(1(2(0(4(x1)))))
     
     0(0(4(5(x1)))) = 1x1 >= 1x1 = 0(0(2(5(4(x1)))))
     
     0(1(4(1(x1)))) = x1 >= x1 = 0(1(2(2(4(1(x1))))))
     
     0(1(4(5(x1)))) = 1x1 >= 1x1 = 4(0(1(2(5(4(x1))))))
     
     0(1(5(1(x1)))) = 1x1 >= 1x1 = 1(2(2(5(0(1(x1))))))
     
     0(1(5(3(x1)))) = 1x1 >= 1x1 = 0(5(3(2(1(x1)))))
     
     0(2(4(1(x1)))) = x1 >= x1 = 1(3(3(2(0(4(x1))))))
     
     0(2(4(1(x1)))) = x1 >= x1 = 4(2(1(2(0(4(x1))))))
     
     0(2(4(5(x1)))) = 1x1 >= 1x1 = 0(2(2(5(0(4(x1))))))
     
     0(3(1(5(x1)))) = 1x1 >= 1x1 = 0(1(2(5(3(x1)))))
     
     0(3(1(5(x1)))) = 1x1 >= 1x1 = 1(2(5(3(0(4(x1))))))
     
     0(3(5(1(x1)))) = 1x1 >= 1x1 = 1(2(5(3(0(x1)))))
     
     0(3(5(1(x1)))) = 1x1 >= 1x1 = 0(5(2(1(2(3(x1))))))
     
     0(3(5(5(x1)))) = 2x1 >= 2x1 = 0(3(2(5(5(x1)))))
     
     0(4(0(1(x1)))) = x1 >= x1 = 2(0(4(4(0(1(x1))))))
     
     0(4(1(5(x1)))) = 1x1 >= 1x1 = 1(2(5(0(4(x1)))))
     
     0(4(3(5(x1)))) = 1x1 >= 1x1 = 0(4(3(2(5(4(x1))))))
     
     0(4(5(1(x1)))) = 1x1 >= 1x1 = 2(5(4(4(0(1(x1))))))
     
     3(0(1(5(x1)))) = 1x1 >= 1x1 = 3(1(4(0(5(4(x1))))))
     
     3(0(3(1(x1)))) = x1 >= x1 = 1(3(3(2(0(x1)))))
     
     3(0(3(5(x1)))) = 1x1 >= 1x1 = 3(2(5(0(2(3(x1))))))
     
     3(3(0(1(x1)))) = x1 >= x1 = 0(1(3(2(2(3(x1))))))
     
     3(4(5(1(x1)))) = 1x1 >= 1x1 = 3(2(5(4(2(1(x1))))))
     
     4(1(3(5(x1)))) = 1x1 >= 1x1 = 1(2(5(3(4(4(x1))))))
     
     4(1(5(1(x1)))) = 1x1 >= 1x1 = 4(4(5(1(2(1(x1))))))
     
     4(4(1(5(x1)))) = 1x1 >= 1x1 = 4(1(2(5(4(x1)))))
     
     0(1(4(5(5(x1))))) = 2x1 >= 2x1 = 0(5(1(4(2(5(x1))))))
     
     0(2(1(4(5(x1))))) = 1x1 >= 1x1 = 0(0(1(2(5(4(x1))))))
     
     0(2(1(5(5(x1))))) = 2x1 >= 2x1 = 0(1(2(2(5(5(x1))))))
     
     0(4(2(4(1(x1))))) = x1 >= x1 = 1(3(2(0(4(4(x1))))))
     
     0(4(5(4(3(x1))))) = 1x1 >= 1x1 = 2(5(0(4(4(3(x1))))))
     
     0(5(1(5(1(x1))))) = 2x1 >= 2x1 = 0(5(1(1(2(5(x1))))))
     
     0(5(2(1(5(x1))))) = 2x1 >= 2x1 = 1(2(5(5(0(4(x1))))))
     
     0(5(2(4(1(x1))))) = 1x1 >= 1x1 = 4(5(2(1(2(0(x1))))))
     
     3(0(1(4(1(x1))))) = x1 >= x1 = 0(4(4(1(3(1(x1))))))
     
     3(0(1(4(1(x1))))) = x1 >= x1 = 4(3(2(0(1(1(x1))))))
     
     3(0(3(5(5(x1))))) = 2x1 >= 2x1 = 3(3(2(5(0(5(x1))))))
     
     3(0(5(3(1(x1))))) = 1x1 >= 1x1 = 1(0(3(3(2(5(x1))))))
     
     4(0(1(4(1(x1))))) = x1 >= x1 = 4(4(0(1(3(1(x1))))))
     
     4(0(1(5(1(x1))))) = 1x1 >= 1x1 = 0(1(2(5(4(1(x1))))))
     
     4(0(2(4(5(x1))))) = 1x1 >= 1x1 = 4(0(2(5(0(4(x1))))))
     
     4(1(1(5(1(x1))))) = 1x1 >= 1x1 = 1(1(2(5(4(1(x1))))))
     
     4(5(1(4(1(x1))))) = 1x1 >= 1x1 = 4(4(1(2(1(5(x1))))))
     
     4(5(2(3(1(x1))))) = 1x1 >= 1x1 = 4(3(1(2(2(5(x1))))))
     
     4(5(4(3(1(x1))))) = 1x1 >= 1x1 = 4(1(2(5(3(4(x1))))))
     
     4(5(5(3(1(x1))))) = 2x1 >= 2x1 = 1(3(2(5(5(4(x1))))))
    problem:
     DPs:
      0#(1(1(x1))) -> 0#(x1)
      0#(3(1(x1))) -> 0#(x1)
      0#(3(1(x1))) -> 3#(2(2(0(x1))))
      0#(3(1(x1))) -> 3#(2(1(2(0(x1)))))
      0#(3(1(x1))) -> 3#(2(0(x1)))
      0#(3(1(x1))) -> 3#(3(2(0(x1))))
      0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
      0#(4(1(x1))) -> 4#(x1)
      0#(4(1(x1))) -> 0#(4(x1))
      0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
      0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
      0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
      0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
      0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
      0#(1(5(3(x1)))) -> 0#(5(3(2(1(x1)))))
      0#(2(4(1(x1)))) -> 4#(x1)
      0#(2(4(1(x1)))) -> 0#(4(x1))
      0#(2(4(1(x1)))) -> 3#(2(0(4(x1))))
      0#(2(4(1(x1)))) -> 3#(3(2(0(4(x1)))))
      0#(2(4(1(x1)))) -> 4#(2(1(2(0(4(x1))))))
      0#(2(4(5(x1)))) -> 0#(2(2(5(0(4(x1))))))
      0#(3(1(5(x1)))) -> 0#(1(2(5(3(x1)))))
      0#(3(5(1(x1)))) -> 0#(5(2(1(2(3(x1))))))
      0#(3(5(5(x1)))) -> 3#(2(5(5(x1))))
      0#(3(5(5(x1)))) -> 0#(3(2(5(5(x1)))))
      0#(4(0(1(x1)))) -> 4#(4(0(1(x1))))
      0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
      0#(4(3(5(x1)))) -> 3#(2(5(4(x1))))
      0#(4(3(5(x1)))) -> 4#(3(2(5(4(x1)))))
      0#(4(3(5(x1)))) -> 0#(4(3(2(5(4(x1))))))
      3#(0(1(5(x1)))) -> 0#(5(4(x1)))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1))))
      3#(0(1(5(x1)))) -> 3#(1(4(0(5(4(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1)
      3#(0(3(1(x1)))) -> 3#(2(0(x1)))
      3#(0(3(1(x1)))) -> 3#(3(2(0(x1))))
      3#(0(3(5(x1)))) -> 3#(2(5(0(2(3(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1)
      3#(3(0(1(x1)))) -> 3#(2(2(3(x1))))
      3#(3(0(1(x1)))) -> 0#(1(3(2(2(3(x1))))))
      3#(4(5(1(x1)))) -> 3#(2(5(4(2(1(x1))))))
      4#(1(5(1(x1)))) -> 4#(5(1(2(1(x1)))))
      4#(1(5(1(x1)))) -> 4#(4(5(1(2(1(x1))))))
      4#(4(1(5(x1)))) -> 4#(1(2(5(4(x1)))))
      0#(1(4(5(5(x1))))) -> 0#(5(1(4(2(5(x1))))))
      0#(2(1(4(5(x1))))) -> 0#(1(2(5(4(x1)))))
      0#(2(1(4(5(x1))))) -> 0#(0(1(2(5(4(x1))))))
      0#(2(1(5(5(x1))))) -> 0#(1(2(2(5(5(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1)
      0#(4(2(4(1(x1))))) -> 4#(4(x1))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
      0#(4(2(4(1(x1))))) -> 3#(2(0(4(4(x1)))))
      0#(5(1(5(1(x1))))) -> 0#(5(1(1(2(5(x1))))))
      0#(5(2(4(1(x1))))) -> 4#(5(2(1(2(0(x1))))))
      3#(0(1(4(1(x1))))) -> 3#(1(x1))
      3#(0(1(4(1(x1))))) -> 4#(1(3(1(x1))))
      3#(0(1(4(1(x1))))) -> 4#(4(1(3(1(x1)))))
      3#(0(1(4(1(x1))))) -> 0#(4(4(1(3(1(x1))))))
      3#(0(1(4(1(x1))))) -> 0#(1(1(x1)))
      3#(0(1(4(1(x1))))) -> 3#(2(0(1(1(x1)))))
      3#(0(1(4(1(x1))))) -> 4#(3(2(0(1(1(x1))))))
      3#(0(3(5(5(x1))))) -> 3#(2(5(0(5(x1)))))
      3#(0(3(5(5(x1))))) -> 3#(3(2(5(0(5(x1))))))
      3#(0(5(3(1(x1))))) -> 3#(2(5(x1)))
      3#(0(5(3(1(x1))))) -> 3#(3(2(5(x1))))
      3#(0(5(3(1(x1))))) -> 0#(3(3(2(5(x1)))))
      4#(0(1(4(1(x1))))) -> 3#(1(x1))
      4#(0(1(4(1(x1))))) -> 0#(1(3(1(x1))))
      4#(0(1(4(1(x1))))) -> 4#(0(1(3(1(x1)))))
      4#(0(1(4(1(x1))))) -> 4#(4(0(1(3(1(x1))))))
      4#(0(1(5(1(x1))))) -> 0#(1(2(5(4(1(x1))))))
      4#(0(2(4(5(x1))))) -> 0#(2(5(0(4(x1)))))
      4#(0(2(4(5(x1))))) -> 4#(0(2(5(0(4(x1))))))
      4#(5(1(4(1(x1))))) -> 4#(1(2(1(5(x1)))))
      4#(5(1(4(1(x1))))) -> 4#(4(1(2(1(5(x1))))))
      4#(5(2(3(1(x1))))) -> 3#(1(2(2(5(x1)))))
      4#(5(2(3(1(x1))))) -> 4#(3(1(2(2(5(x1))))))
      4#(5(4(3(1(x1))))) -> 4#(1(2(5(3(4(x1))))))
      4#(5(5(3(1(x1))))) -> 3#(2(5(5(4(x1)))))
     TRS:
      0(1(1(x1))) -> 1(2(1(2(0(x1)))))
      0(3(1(x1))) -> 1(3(2(2(0(x1)))))
      0(3(1(x1))) -> 3(2(1(2(0(x1)))))
      0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
      0(4(1(x1))) -> 2(1(2(0(4(x1)))))
      0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
      0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
      0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
      0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
      0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
      0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
      0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
      0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
      0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
      0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
      0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
      0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
      0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
      0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
      0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
      0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
      0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
      3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
      3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
      3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
      3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
      3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
      4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
      4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
      4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
      0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
      0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
      0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
      0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
      0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
      0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
      0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
      0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
      3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
      3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
      3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
      3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
      4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
      4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
      4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
      4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
      4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
      4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
      4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
      4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
    EDG Processor:
     DPs:
      0#(1(1(x1))) -> 0#(x1)
      0#(3(1(x1))) -> 0#(x1)
      0#(3(1(x1))) -> 3#(2(2(0(x1))))
      0#(3(1(x1))) -> 3#(2(1(2(0(x1)))))
      0#(3(1(x1))) -> 3#(2(0(x1)))
      0#(3(1(x1))) -> 3#(3(2(0(x1))))
      0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
      0#(4(1(x1))) -> 4#(x1)
      0#(4(1(x1))) -> 0#(4(x1))
      0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
      0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
      0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
      0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
      0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
      0#(1(5(3(x1)))) -> 0#(5(3(2(1(x1)))))
      0#(2(4(1(x1)))) -> 4#(x1)
      0#(2(4(1(x1)))) -> 0#(4(x1))
      0#(2(4(1(x1)))) -> 3#(2(0(4(x1))))
      0#(2(4(1(x1)))) -> 3#(3(2(0(4(x1)))))
      0#(2(4(1(x1)))) -> 4#(2(1(2(0(4(x1))))))
      0#(2(4(5(x1)))) -> 0#(2(2(5(0(4(x1))))))
      0#(3(1(5(x1)))) -> 0#(1(2(5(3(x1)))))
      0#(3(5(1(x1)))) -> 0#(5(2(1(2(3(x1))))))
      0#(3(5(5(x1)))) -> 3#(2(5(5(x1))))
      0#(3(5(5(x1)))) -> 0#(3(2(5(5(x1)))))
      0#(4(0(1(x1)))) -> 4#(4(0(1(x1))))
      0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
      0#(4(3(5(x1)))) -> 3#(2(5(4(x1))))
      0#(4(3(5(x1)))) -> 4#(3(2(5(4(x1)))))
      0#(4(3(5(x1)))) -> 0#(4(3(2(5(4(x1))))))
      3#(0(1(5(x1)))) -> 0#(5(4(x1)))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1))))
      3#(0(1(5(x1)))) -> 3#(1(4(0(5(4(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1)
      3#(0(3(1(x1)))) -> 3#(2(0(x1)))
      3#(0(3(1(x1)))) -> 3#(3(2(0(x1))))
      3#(0(3(5(x1)))) -> 3#(2(5(0(2(3(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1)
      3#(3(0(1(x1)))) -> 3#(2(2(3(x1))))
      3#(3(0(1(x1)))) -> 0#(1(3(2(2(3(x1))))))
      3#(4(5(1(x1)))) -> 3#(2(5(4(2(1(x1))))))
      4#(1(5(1(x1)))) -> 4#(5(1(2(1(x1)))))
      4#(1(5(1(x1)))) -> 4#(4(5(1(2(1(x1))))))
      4#(4(1(5(x1)))) -> 4#(1(2(5(4(x1)))))
      0#(1(4(5(5(x1))))) -> 0#(5(1(4(2(5(x1))))))
      0#(2(1(4(5(x1))))) -> 0#(1(2(5(4(x1)))))
      0#(2(1(4(5(x1))))) -> 0#(0(1(2(5(4(x1))))))
      0#(2(1(5(5(x1))))) -> 0#(1(2(2(5(5(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1)
      0#(4(2(4(1(x1))))) -> 4#(4(x1))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
      0#(4(2(4(1(x1))))) -> 3#(2(0(4(4(x1)))))
      0#(5(1(5(1(x1))))) -> 0#(5(1(1(2(5(x1))))))
      0#(5(2(4(1(x1))))) -> 4#(5(2(1(2(0(x1))))))
      3#(0(1(4(1(x1))))) -> 3#(1(x1))
      3#(0(1(4(1(x1))))) -> 4#(1(3(1(x1))))
      3#(0(1(4(1(x1))))) -> 4#(4(1(3(1(x1)))))
      3#(0(1(4(1(x1))))) -> 0#(4(4(1(3(1(x1))))))
      3#(0(1(4(1(x1))))) -> 0#(1(1(x1)))
      3#(0(1(4(1(x1))))) -> 3#(2(0(1(1(x1)))))
      3#(0(1(4(1(x1))))) -> 4#(3(2(0(1(1(x1))))))
      3#(0(3(5(5(x1))))) -> 3#(2(5(0(5(x1)))))
      3#(0(3(5(5(x1))))) -> 3#(3(2(5(0(5(x1))))))
      3#(0(5(3(1(x1))))) -> 3#(2(5(x1)))
      3#(0(5(3(1(x1))))) -> 3#(3(2(5(x1))))
      3#(0(5(3(1(x1))))) -> 0#(3(3(2(5(x1)))))
      4#(0(1(4(1(x1))))) -> 3#(1(x1))
      4#(0(1(4(1(x1))))) -> 0#(1(3(1(x1))))
      4#(0(1(4(1(x1))))) -> 4#(0(1(3(1(x1)))))
      4#(0(1(4(1(x1))))) -> 4#(4(0(1(3(1(x1))))))
      4#(0(1(5(1(x1))))) -> 0#(1(2(5(4(1(x1))))))
      4#(0(2(4(5(x1))))) -> 0#(2(5(0(4(x1)))))
      4#(0(2(4(5(x1))))) -> 4#(0(2(5(0(4(x1))))))
      4#(5(1(4(1(x1))))) -> 4#(1(2(1(5(x1)))))
      4#(5(1(4(1(x1))))) -> 4#(4(1(2(1(5(x1))))))
      4#(5(2(3(1(x1))))) -> 3#(1(2(2(5(x1)))))
      4#(5(2(3(1(x1))))) -> 4#(3(1(2(2(5(x1))))))
      4#(5(4(3(1(x1))))) -> 4#(1(2(5(3(4(x1))))))
      4#(5(5(3(1(x1))))) -> 3#(2(5(5(4(x1)))))
     TRS:
      0(1(1(x1))) -> 1(2(1(2(0(x1)))))
      0(3(1(x1))) -> 1(3(2(2(0(x1)))))
      0(3(1(x1))) -> 3(2(1(2(0(x1)))))
      0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
      0(4(1(x1))) -> 2(1(2(0(4(x1)))))
      0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
      0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
      0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
      0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
      0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
      0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
      0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
      0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
      0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
      0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
      0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
      0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
      0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
      0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
      0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
      0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
      0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
      3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
      3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
      3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
      3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
      3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
      4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
      4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
      4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
      0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
      0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
      0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
      0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
      0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
      0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
      0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
      0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
      3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
      3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
      3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
      3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
      4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
      4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
      4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
      4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
      4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
      4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
      4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
      4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
     graph:
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(1(5(x1)))) -> 0#(5(4(x1)))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(1(5(x1)))) -> 4#(0(5(4(x1))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(1(5(x1)))) -> 3#(1(4(0(5(4(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(3(1(x1)))) -> 0#(x1)
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(3(1(x1)))) -> 3#(2(0(x1)))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(3(1(x1)))) -> 3#(3(2(0(x1))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(3(5(x1)))) -> 3#(2(5(0(2(3(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(3(0(1(x1)))) -> 3#(x1)
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(3(0(1(x1)))) -> 3#(2(2(3(x1))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(3(0(1(x1)))) -> 0#(1(3(2(2(3(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(4(5(1(x1)))) -> 3#(2(5(4(2(1(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(1(4(1(x1))))) -> 3#(1(x1))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(1(4(1(x1))))) -> 4#(1(3(1(x1))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(1(4(1(x1))))) -> 4#(4(1(3(1(x1)))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(1(4(1(x1))))) -> 0#(4(4(1(3(1(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(1(4(1(x1))))) -> 0#(1(1(x1)))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(1(4(1(x1))))) -> 3#(2(0(1(1(x1)))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(1(4(1(x1))))) -> 4#(3(2(0(1(1(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(3(5(5(x1))))) -> 3#(2(5(0(5(x1)))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(3(5(5(x1))))) -> 3#(3(2(5(0(5(x1))))))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(5(3(1(x1))))) -> 3#(2(5(x1)))
      3#(3(0(1(x1)))) -> 3#(x1) -> 3#(0(5(3(1(x1))))) -> 3#(3(2(5(x1))))
      3#(3(0(1(x1)))) -> 3#(x1) ->
      3#(0(5(3(1(x1))))) -> 0#(3(3(2(5(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(x1)
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 0#(x1)
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(2(2(0(x1))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(2(1(2(0(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(2(0(x1)))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(3(2(0(x1))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(1(x1))) -> 4#(x1)
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(1(x1))) -> 0#(4(x1))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(1(5(3(x1)))) -> 0#(5(3(2(1(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 4#(x1)
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 0#(4(x1))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 3#(2(0(4(x1))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 3#(3(2(0(4(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(2(4(1(x1)))) -> 4#(2(1(2(0(4(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(2(4(5(x1)))) -> 0#(2(2(5(0(4(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(1(5(x1)))) -> 0#(1(2(5(3(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(3(5(1(x1)))) -> 0#(5(2(1(2(3(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(5(5(x1)))) -> 3#(2(5(5(x1))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(3(5(5(x1)))) -> 0#(3(2(5(5(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(0(1(x1)))) -> 4#(4(0(1(x1))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(3(5(x1)))) -> 3#(2(5(4(x1))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(3(5(x1)))) -> 4#(3(2(5(4(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(4(3(5(x1)))) -> 0#(4(3(2(5(4(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(1(4(5(5(x1))))) -> 0#(5(1(4(2(5(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(2(1(4(5(x1))))) -> 0#(1(2(5(4(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(2(1(4(5(x1))))) -> 0#(0(1(2(5(4(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(2(1(5(5(x1))))) -> 0#(1(2(2(5(5(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(2(4(1(x1))))) -> 4#(x1)
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(2(4(1(x1))))) -> 4#(4(x1))
      3#(0(3(1(x1)))) -> 0#(x1) -> 0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(4(2(4(1(x1))))) -> 3#(2(0(4(4(x1)))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(5(1(5(1(x1))))) -> 0#(5(1(1(2(5(x1))))))
      3#(0(3(1(x1)))) -> 0#(x1) ->
      0#(5(2(4(1(x1))))) -> 4#(5(2(1(2(0(x1))))))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1)))) ->
      4#(0(1(4(1(x1))))) -> 3#(1(x1))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1)))) ->
      4#(0(1(4(1(x1))))) -> 0#(1(3(1(x1))))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1)))) ->
      4#(0(1(4(1(x1))))) -> 4#(0(1(3(1(x1)))))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1)))) ->
      4#(0(1(4(1(x1))))) -> 4#(4(0(1(3(1(x1))))))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1)))) ->
      4#(0(2(4(5(x1))))) -> 0#(2(5(0(4(x1)))))
      3#(0(1(5(x1)))) -> 4#(0(5(4(x1)))) ->
      4#(0(2(4(5(x1))))) -> 4#(0(2(5(0(4(x1))))))
      3#(0(1(5(x1)))) -> 0#(5(4(x1))) ->
      0#(5(2(4(1(x1))))) -> 4#(5(2(1(2(0(x1))))))
      3#(0(1(4(1(x1))))) -> 0#(1(1(x1))) -> 0#(1(1(x1))) -> 0#(x1)
      0#(4(2(4(1(x1))))) -> 4#(4(x1)) ->
      4#(4(1(5(x1)))) -> 4#(1(2(5(4(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(4(x1)) ->
      4#(0(1(4(1(x1))))) -> 3#(1(x1))
      0#(4(2(4(1(x1))))) -> 4#(4(x1)) ->
      4#(0(1(4(1(x1))))) -> 0#(1(3(1(x1))))
      0#(4(2(4(1(x1))))) -> 4#(4(x1)) ->
      4#(0(1(4(1(x1))))) -> 4#(0(1(3(1(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(4(x1)) ->
      4#(0(1(4(1(x1))))) -> 4#(4(0(1(3(1(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(4(x1)) ->
      4#(0(2(4(5(x1))))) -> 0#(2(5(0(4(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(4(x1)) ->
      4#(0(2(4(5(x1))))) -> 4#(0(2(5(0(4(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(1(5(1(x1)))) -> 4#(5(1(2(1(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(1(5(1(x1)))) -> 4#(4(5(1(2(1(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(4(1(5(x1)))) -> 4#(1(2(5(4(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(x1) -> 4#(0(1(4(1(x1))))) -> 3#(1(x1))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(0(1(4(1(x1))))) -> 0#(1(3(1(x1))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(0(1(4(1(x1))))) -> 4#(0(1(3(1(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(0(1(4(1(x1))))) -> 4#(4(0(1(3(1(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(0(1(5(1(x1))))) -> 0#(1(2(5(4(1(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(0(2(4(5(x1))))) -> 0#(2(5(0(4(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(0(2(4(5(x1))))) -> 4#(0(2(5(0(4(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(5(1(4(1(x1))))) -> 4#(1(2(1(5(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(5(1(4(1(x1))))) -> 4#(4(1(2(1(5(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(5(2(3(1(x1))))) -> 3#(1(2(2(5(x1)))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(5(2(3(1(x1))))) -> 4#(3(1(2(2(5(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(5(4(3(1(x1))))) -> 4#(1(2(5(3(4(x1))))))
      0#(4(2(4(1(x1))))) -> 4#(x1) ->
      4#(5(5(3(1(x1))))) -> 3#(2(5(5(4(x1)))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(1(1(x1))) -> 0#(x1)
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(3(1(x1))) -> 0#(x1)
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(3(1(x1))) -> 3#(2(2(0(x1))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(3(1(x1))) -> 3#(2(1(2(0(x1)))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(3(1(x1))) -> 3#(2(0(x1)))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(3(1(x1))) -> 3#(3(2(0(x1))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(4(1(x1))) -> 4#(x1)
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(4(1(x1))) -> 0#(4(x1))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(2(4(1(x1)))) -> 4#(x1)
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
      0#(2(4(1(x1)))) -> 0#(4(x1))
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1))) ->
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      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(3(1(x1))) -> 3#(2(0(x1)))
      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(3(1(x1))) -> 3#(3(2(0(x1))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(4(1(x1))) -> 4#(x1)
      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(4(1(x1))) -> 0#(4(x1))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(2(4(1(x1)))) -> 4#(x1)
      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(2(4(1(x1)))) -> 0#(4(x1))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(2(4(1(x1)))) -> 3#(2(0(4(x1))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(2(4(1(x1)))) -> 3#(3(2(0(4(x1)))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(2(4(1(x1)))) -> 4#(2(1(2(0(4(x1))))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(2(4(5(x1)))) -> 0#(2(2(5(0(4(x1))))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(4(0(1(x1)))) -> 4#(4(0(1(x1))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(4(3(5(x1)))) -> 3#(2(5(4(x1))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(4(3(5(x1)))) -> 4#(3(2(5(4(x1)))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(4(3(5(x1)))) -> 0#(4(3(2(5(4(x1))))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(2(1(4(5(x1))))) -> 0#(1(2(5(4(x1)))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(2(1(4(5(x1))))) -> 0#(0(1(2(5(4(x1))))))
      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(4(2(4(1(x1))))) -> 4#(x1)
      0#(2(4(1(x1)))) -> 0#(4(x1)) -> 0#(4(2(4(1(x1))))) -> 4#(4(x1))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
      0#(2(4(1(x1)))) -> 0#(4(x1)) ->
      0#(4(2(4(1(x1))))) -> 3#(2(0(4(4(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(1(1(x1))) -> 0#(x1)
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(1(x1))) -> 0#(x1)
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(2(2(0(x1))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(2(1(2(0(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(2(0(x1)))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(3(2(0(x1))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(1(x1))) -> 3#(3(3(2(0(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(1(x1))) -> 4#(x1)
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(1(x1))) -> 0#(4(x1))
      0#(1(1(x1))) -> 0#(x1) -> 0#(0(4(5(x1)))) -> 0#(2(5(4(x1))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(0(4(5(x1)))) -> 0#(0(2(5(4(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(1(4(1(x1)))) -> 0#(1(2(2(4(1(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(1(4(5(x1)))) -> 0#(1(2(5(4(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(1(4(5(x1)))) -> 4#(0(1(2(5(4(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(1(5(3(x1)))) -> 0#(5(3(2(1(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 4#(x1)
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 0#(4(x1))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 3#(2(0(4(x1))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 3#(3(2(0(4(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(4(1(x1)))) -> 4#(2(1(2(0(4(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(4(5(x1)))) -> 0#(2(2(5(0(4(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(1(5(x1)))) -> 0#(1(2(5(3(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(5(1(x1)))) -> 0#(5(2(1(2(3(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(5(5(x1)))) -> 3#(2(5(5(x1))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(3(5(5(x1)))) -> 0#(3(2(5(5(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(0(1(x1)))) -> 4#(4(0(1(x1))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(3(5(x1)))) -> 3#(2(5(4(x1))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(3(5(x1)))) -> 4#(3(2(5(4(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(3(5(x1)))) -> 0#(4(3(2(5(4(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(1(4(5(5(x1))))) -> 0#(5(1(4(2(5(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(1(4(5(x1))))) -> 0#(1(2(5(4(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(1(4(5(x1))))) -> 0#(0(1(2(5(4(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(2(1(5(5(x1))))) -> 0#(1(2(2(5(5(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(2(4(1(x1))))) -> 4#(x1)
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(2(4(1(x1))))) -> 4#(4(x1))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
      0#(1(1(x1))) -> 0#(x1) -> 0#(4(2(4(1(x1))))) -> 3#(2(0(4(4(x1)))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(5(1(5(1(x1))))) -> 0#(5(1(1(2(5(x1))))))
      0#(1(1(x1))) -> 0#(x1) -> 0#(5(2(4(1(x1))))) -> 4#(5(2(1(2(0(x1))))))
     SCC Processor:
      #sccs: 2
      #rules: 7
      #arcs: 330/6241
      DPs:
       3#(3(0(1(x1)))) -> 3#(x1)
      TRS:
       0(1(1(x1))) -> 1(2(1(2(0(x1)))))
       0(3(1(x1))) -> 1(3(2(2(0(x1)))))
       0(3(1(x1))) -> 3(2(1(2(0(x1)))))
       0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
       0(4(1(x1))) -> 2(1(2(0(4(x1)))))
       0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
       0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
       0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
       0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
       0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
       0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
       0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
       0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
       0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
       0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
       0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
       0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
       0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
       0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
       0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
       0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
       0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
       3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
       3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
       3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
       3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
       3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
       4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
       4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
       4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
       0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
       0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
       0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
       0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
       0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
       0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
       0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
       0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
       3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
       3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
       3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
       3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
       4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
       4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
       4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
       4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
       4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
       4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
       4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
       4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
      Arctic Interpretation Processor:
       dimension: 1
       interpretation:
        [3#](x0) = x0,
        
        [5](x0) = x0,
        
        [4](x0) = x0,
        
        [3](x0) = x0,
        
        [2](x0) = x0,
        
        [0](x0) = x0,
        
        [1](x0) = 1x0
       orientation:
        3#(3(0(1(x1)))) = 1x1 >= x1 = 3#(x1)
        
        0(1(1(x1))) = 2x1 >= 2x1 = 1(2(1(2(0(x1)))))
        
        0(3(1(x1))) = 1x1 >= 1x1 = 1(3(2(2(0(x1)))))
        
        0(3(1(x1))) = 1x1 >= 1x1 = 3(2(1(2(0(x1)))))
        
        0(3(1(x1))) = 1x1 >= 1x1 = 1(3(3(3(2(0(x1))))))
        
        0(4(1(x1))) = 1x1 >= 1x1 = 2(1(2(0(4(x1)))))
        
        0(0(4(5(x1)))) = x1 >= x1 = 0(0(2(5(4(x1)))))
        
        0(1(4(1(x1)))) = 2x1 >= 2x1 = 0(1(2(2(4(1(x1))))))
        
        0(1(4(5(x1)))) = 1x1 >= 1x1 = 4(0(1(2(5(4(x1))))))
        
        0(1(5(1(x1)))) = 2x1 >= 2x1 = 1(2(2(5(0(1(x1))))))
        
        0(1(5(3(x1)))) = 1x1 >= 1x1 = 0(5(3(2(1(x1)))))
        
        0(2(4(1(x1)))) = 1x1 >= 1x1 = 1(3(3(2(0(4(x1))))))
        
        0(2(4(1(x1)))) = 1x1 >= 1x1 = 4(2(1(2(0(4(x1))))))
        
        0(2(4(5(x1)))) = x1 >= x1 = 0(2(2(5(0(4(x1))))))
        
        0(3(1(5(x1)))) = 1x1 >= 1x1 = 0(1(2(5(3(x1)))))
        
        0(3(1(5(x1)))) = 1x1 >= 1x1 = 1(2(5(3(0(4(x1))))))
        
        0(3(5(1(x1)))) = 1x1 >= 1x1 = 1(2(5(3(0(x1)))))
        
        0(3(5(1(x1)))) = 1x1 >= 1x1 = 0(5(2(1(2(3(x1))))))
        
        0(3(5(5(x1)))) = x1 >= x1 = 0(3(2(5(5(x1)))))
        
        0(4(0(1(x1)))) = 1x1 >= 1x1 = 2(0(4(4(0(1(x1))))))
        
        0(4(1(5(x1)))) = 1x1 >= 1x1 = 1(2(5(0(4(x1)))))
        
        0(4(3(5(x1)))) = x1 >= x1 = 0(4(3(2(5(4(x1))))))
        
        0(4(5(1(x1)))) = 1x1 >= 1x1 = 2(5(4(4(0(1(x1))))))
        
        3(0(1(5(x1)))) = 1x1 >= 1x1 = 3(1(4(0(5(4(x1))))))
        
        3(0(3(1(x1)))) = 1x1 >= 1x1 = 1(3(3(2(0(x1)))))
        
        3(0(3(5(x1)))) = x1 >= x1 = 3(2(5(0(2(3(x1))))))
        
        3(3(0(1(x1)))) = 1x1 >= 1x1 = 0(1(3(2(2(3(x1))))))
        
        3(4(5(1(x1)))) = 1x1 >= 1x1 = 3(2(5(4(2(1(x1))))))
        
        4(1(3(5(x1)))) = 1x1 >= 1x1 = 1(2(5(3(4(4(x1))))))
        
        4(1(5(1(x1)))) = 2x1 >= 2x1 = 4(4(5(1(2(1(x1))))))
        
        4(4(1(5(x1)))) = 1x1 >= 1x1 = 4(1(2(5(4(x1)))))
        
        0(1(4(5(5(x1))))) = 1x1 >= 1x1 = 0(5(1(4(2(5(x1))))))
        
        0(2(1(4(5(x1))))) = 1x1 >= 1x1 = 0(0(1(2(5(4(x1))))))
        
        0(2(1(5(5(x1))))) = 1x1 >= 1x1 = 0(1(2(2(5(5(x1))))))
        
        0(4(2(4(1(x1))))) = 1x1 >= 1x1 = 1(3(2(0(4(4(x1))))))
        
        0(4(5(4(3(x1))))) = x1 >= x1 = 2(5(0(4(4(3(x1))))))
        
        0(5(1(5(1(x1))))) = 2x1 >= 2x1 = 0(5(1(1(2(5(x1))))))
        
        0(5(2(1(5(x1))))) = 1x1 >= 1x1 = 1(2(5(5(0(4(x1))))))
        
        0(5(2(4(1(x1))))) = 1x1 >= 1x1 = 4(5(2(1(2(0(x1))))))
        
        3(0(1(4(1(x1))))) = 2x1 >= 2x1 = 0(4(4(1(3(1(x1))))))
        
        3(0(1(4(1(x1))))) = 2x1 >= 2x1 = 4(3(2(0(1(1(x1))))))
        
        3(0(3(5(5(x1))))) = x1 >= x1 = 3(3(2(5(0(5(x1))))))
        
        3(0(5(3(1(x1))))) = 1x1 >= 1x1 = 1(0(3(3(2(5(x1))))))
        
        4(0(1(4(1(x1))))) = 2x1 >= 2x1 = 4(4(0(1(3(1(x1))))))
        
        4(0(1(5(1(x1))))) = 2x1 >= 2x1 = 0(1(2(5(4(1(x1))))))
        
        4(0(2(4(5(x1))))) = x1 >= x1 = 4(0(2(5(0(4(x1))))))
        
        4(1(1(5(1(x1))))) = 3x1 >= 3x1 = 1(1(2(5(4(1(x1))))))
        
        4(5(1(4(1(x1))))) = 2x1 >= 2x1 = 4(4(1(2(1(5(x1))))))
        
        4(5(2(3(1(x1))))) = 1x1 >= 1x1 = 4(3(1(2(2(5(x1))))))
        
        4(5(4(3(1(x1))))) = 1x1 >= 1x1 = 4(1(2(5(3(4(x1))))))
        
        4(5(5(3(1(x1))))) = 1x1 >= 1x1 = 1(3(2(5(5(4(x1))))))
       problem:
        DPs:
         
        TRS:
         0(1(1(x1))) -> 1(2(1(2(0(x1)))))
         0(3(1(x1))) -> 1(3(2(2(0(x1)))))
         0(3(1(x1))) -> 3(2(1(2(0(x1)))))
         0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
         0(4(1(x1))) -> 2(1(2(0(4(x1)))))
         0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
         0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
         0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
         0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
         0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
         0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
         0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
         0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
         0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
         0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
         0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
         0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
         0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
         0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
         0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
         0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
         0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
         3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
         3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
         3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
         3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
         3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
         4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
         4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
         4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
         0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
         0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
         0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
         0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
         0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
         0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
         0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
         0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
         3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
         3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
         3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
         3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
         4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
         4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
         4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
         4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
         4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
         4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
         4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
         4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
       Qed
      
      DPs:
       0#(1(1(x1))) -> 0#(x1)
       0#(4(2(4(1(x1))))) -> 0#(4(4(x1)))
       0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
       0#(2(4(1(x1)))) -> 0#(4(x1))
       0#(4(1(x1))) -> 0#(4(x1))
       0#(3(1(x1))) -> 0#(x1)
      TRS:
       0(1(1(x1))) -> 1(2(1(2(0(x1)))))
       0(3(1(x1))) -> 1(3(2(2(0(x1)))))
       0(3(1(x1))) -> 3(2(1(2(0(x1)))))
       0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
       0(4(1(x1))) -> 2(1(2(0(4(x1)))))
       0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
       0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
       0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
       0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
       0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
       0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
       0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
       0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
       0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
       0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
       0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
       0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
       0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
       0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
       0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
       0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
       0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
       3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
       3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
       3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
       3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
       3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
       4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
       4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
       4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
       0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
       0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
       0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
       0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
       0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
       0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
       0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
       0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
       3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
       3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
       3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
       3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
       4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
       4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
       4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
       4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
       4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
       4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
       4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
       4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
      KBO Processor:
       argument filtering:
        pi(1) = [0]
        pi(0) = 0
        pi(2) = 0
        pi(3) = 0
        pi(4) = 0
        pi(5) = 0
        pi(0#) = 0
       weight function:
        w0 = 1
        w(0#) = w(5) = w(4) = w(3) = w(2) = w(0) = w(1) = 0
       precedence:
        0# ~ 5 ~ 4 ~ 3 ~ 2 ~ 0 ~ 1
       problem:
        DPs:
         0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
        TRS:
         0(1(1(x1))) -> 1(2(1(2(0(x1)))))
         0(3(1(x1))) -> 1(3(2(2(0(x1)))))
         0(3(1(x1))) -> 3(2(1(2(0(x1)))))
         0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
         0(4(1(x1))) -> 2(1(2(0(4(x1)))))
         0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
         0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
         0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
         0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
         0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
         0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
         0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
         0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
         0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
         0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
         0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
         0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
         0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
         0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
         0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
         0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
         0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
         3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
         3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
         3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
         3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
         3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
         4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
         4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
         4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
         0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
         0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
         0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
         0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
         0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
         0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
         0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
         0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
         3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
         3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
         3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
         3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
         4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
         4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
         4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
         4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
         4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
         4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
         4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
         4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
       EDG Processor:
        DPs:
         0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
        TRS:
         0(1(1(x1))) -> 1(2(1(2(0(x1)))))
         0(3(1(x1))) -> 1(3(2(2(0(x1)))))
         0(3(1(x1))) -> 3(2(1(2(0(x1)))))
         0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
         0(4(1(x1))) -> 2(1(2(0(4(x1)))))
         0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
         0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
         0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
         0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
         0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
         0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
         0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
         0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
         0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
         0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
         0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
         0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
         0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
         0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
         0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
         0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
         0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
         3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
         3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
         3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
         3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
         3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
         4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
         4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
         4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
         0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
         0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
         0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
         0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
         0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
         0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
         0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
         0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
         3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
         3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
         3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
         3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
         4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
         4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
         4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
         4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
         4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
         4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
         4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
         4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
        graph:
         0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1))))) -> 0#(4(0(1(x1)))) -> 0#(4(4(0(1(x1)))))
        Matrix Interpretation Processor: dim=4
         
         interpretation:
          [0#](x0) = [0 0 1 1]x0,
          
                    [1]
                    [0]
          [5](x0) = [0]
                    [0],
          
                    [0 0 0 0]  
                    [0 0 0 0]  
          [4](x0) = [1 0 0 0]x0
                    [0 0 1 0]  ,
          
                    [0 0 0 0]  
                    [0 0 1 0]  
          [3](x0) = [0 0 1 0]x0
                    [0 0 0 0]  ,
          
                    [0 0 0 0]  
                    [0 1 0 0]  
          [2](x0) = [0 0 0 0]x0
                    [0 1 0 0]  ,
          
                    [0 0 1 1]     [0]
                    [0 0 0 0]     [0]
          [0](x0) = [0 0 0 0]x0 + [1]
                    [0 1 0 0]     [0],
          
                    [0 0 0 0]  
                    [0 0 1 0]  
          [1](x0) = [1 0 0 0]x0
                    [0 0 0 0]  
         orientation:
          0#(4(0(1(x1)))) = [1 0 0 0]x1 + [1] >= [1 0 0 0]x1 = 0#(4(4(0(1(x1)))))
          
                        [0 0 0 0]     [0]    [0]                    
                        [0 0 0 0]     [0]    [0]                    
          0(1(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 1(2(1(2(0(x1)))))
                        [1 0 0 0]     [0]    [0]                    
          
                        [1 0 0 0]     [0]    [0]                    
                        [0 0 0 0]     [0]    [0]                    
          0(3(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 1(3(2(2(0(x1)))))
                        [1 0 0 0]     [0]    [0]                    
          
                        [1 0 0 0]     [0]    [0]                    
                        [0 0 0 0]     [0]    [0]                    
          0(3(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 3(2(1(2(0(x1)))))
                        [1 0 0 0]     [0]    [0]                    
          
                        [1 0 0 0]     [0]    [0]                       
                        [0 0 0 0]     [0]    [0]                       
          0(3(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 1(3(3(3(2(0(x1))))))
                        [1 0 0 0]     [0]    [0]                       
          
                        [1 0 0 0]     [0]    [0]                    
                        [0 0 0 0]     [0]    [0]                    
          0(4(1(x1))) = [0 0 0 0]x1 + [1] >= [0] = 2(1(2(0(4(x1)))))
                        [0 0 0 0]     [0]    [0]                    
          
                           [1]    [1]                    
                           [0]    [0]                    
          0(0(4(5(x1)))) = [1] >= [1] = 0(0(2(5(4(x1)))))
                           [0]    [0]                    
          
                           [0]    [0]                       
                           [0]    [0]                       
          0(1(4(1(x1)))) = [1] >= [1] = 0(1(2(2(4(1(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [0]    [0]                       
          0(1(4(5(x1)))) = [1] >= [0] = 4(0(1(2(5(4(x1))))))
                           [1]    [1]                       
          
                           [1]    [0]                       
                           [0]    [0]                       
          0(1(5(1(x1)))) = [1] >= [0] = 1(2(2(5(0(1(x1))))))
                           [0]    [0]                       
          
                           [1]    [0]                    
                           [0]    [0]                    
          0(1(5(3(x1)))) = [1] >= [1] = 0(5(3(2(1(x1)))))
                           [0]    [0]                    
          
                           [0]    [0]                       
                           [0]    [0]                       
          0(2(4(1(x1)))) = [1] >= [0] = 1(3(3(2(0(4(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [0]    [0]                       
          0(2(4(1(x1)))) = [1] >= [0] = 4(2(1(2(0(4(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [0]    [0]                       
          0(2(4(5(x1)))) = [1] >= [1] = 0(2(2(5(0(4(x1))))))
                           [0]    [0]                       
          
                           [1]    [0]                    
                           [0]    [0]                    
          0(3(1(5(x1)))) = [1] >= [1] = 0(1(2(5(3(x1)))))
                           [1]    [0]                    
          
                           [1]    [0]                       
                           [0]    [0]                       
          0(3(1(5(x1)))) = [1] >= [0] = 1(2(5(3(0(4(x1))))))
                           [1]    [0]                       
          
                           [0]    [0]                    
                           [0]    [0]                    
          0(3(5(1(x1)))) = [1] >= [0] = 1(2(5(3(0(x1)))))
                           [0]    [0]                    
          
                           [0]    [0]                       
                           [0]    [0]                       
          0(3(5(1(x1)))) = [1] >= [1] = 0(5(2(1(2(3(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                    
                           [0]    [0]                    
          0(3(5(5(x1)))) = [1] >= [1] = 0(3(2(5(5(x1)))))
                           [0]    [0]                    
          
                           [1 0 0 0]     [1]    [0]                       
                           [0 0 0 0]     [0]    [0]                       
          0(4(0(1(x1)))) = [0 0 0 0]x1 + [1] >= [0] = 2(0(4(4(0(1(x1))))))
                           [0 0 0 0]     [0]    [0]                       
          
                           [1]    [0]                    
                           [0]    [0]                    
          0(4(1(5(x1)))) = [1] >= [0] = 1(2(5(0(4(x1)))))
                           [0]    [0]                    
          
                           [0]    [0]                       
                           [0]    [0]                       
          0(4(3(5(x1)))) = [1] >= [1] = 0(4(3(2(5(4(x1))))))
                           [0]    [0]                       
          
                           [1]    [0]                       
                           [0]    [0]                       
          0(4(5(1(x1)))) = [1] >= [0] = 2(5(4(4(0(1(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [1]    [0]                       
          3(0(1(5(x1)))) = [1] >= [0] = 3(1(4(0(5(4(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                    
                           [1]    [0]                    
          3(0(3(1(x1)))) = [1] >= [0] = 1(3(3(2(0(x1)))))
                           [0]    [0]                    
          
                           [0]    [0]                       
                           [1]    [0]                       
          3(0(3(5(x1)))) = [1] >= [0] = 3(2(5(0(2(3(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [1]    [0]                       
          3(3(0(1(x1)))) = [1] >= [1] = 0(1(3(2(2(3(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [1]    [0]                       
          3(4(5(1(x1)))) = [1] >= [0] = 3(2(5(4(2(1(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [0]    [0]                       
          4(1(3(5(x1)))) = [0] >= [0] = 1(2(5(3(4(4(x1))))))
                           [0]    [0]                       
          
                           [0]    [0]                       
                           [0]    [0]                       
          4(1(5(1(x1)))) = [0] >= [0] = 4(4(5(1(2(1(x1))))))
                           [1]    [1]                       
          
                           [0]    [0]                    
                           [0]    [0]                    
          4(4(1(5(x1)))) = [0] >= [0] = 4(1(2(5(4(x1)))))
                           [0]    [0]                    
          
                              [0]    [0]                       
                              [0]    [0]                       
          0(1(4(5(5(x1))))) = [1] >= [1] = 0(5(1(4(2(5(x1))))))
                              [1]    [0]                       
          
                              [1]    [1]                       
                              [0]    [0]                       
          0(2(1(4(5(x1))))) = [1] >= [1] = 0(0(1(2(5(4(x1))))))
                              [1]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          0(2(1(5(5(x1))))) = [1] >= [1] = 0(1(2(2(5(5(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          0(4(2(4(1(x1))))) = [1] >= [0] = 1(3(2(0(4(4(x1))))))
                              [0]    [0]                       
          
                              [1]    [0]                       
                              [0]    [0]                       
          0(4(5(4(3(x1))))) = [1] >= [0] = 2(5(0(4(4(3(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          0(5(1(5(1(x1))))) = [1] >= [1] = 0(5(1(1(2(5(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          0(5(2(1(5(x1))))) = [1] >= [0] = 1(2(5(5(0(4(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          0(5(2(4(1(x1))))) = [1] >= [1] = 4(5(2(1(2(0(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [1]    [0]                       
          3(0(1(4(1(x1))))) = [1] >= [1] = 0(4(4(1(3(1(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [1]    [0]                       
          3(0(1(4(1(x1))))) = [1] >= [0] = 4(3(2(0(1(1(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [1]    [0]                       
          3(0(3(5(5(x1))))) = [1] >= [0] = 3(3(2(5(0(5(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [1]    [1]                       
          3(0(5(3(1(x1))))) = [1] >= [0] = 1(0(3(3(2(5(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(0(1(4(1(x1))))) = [0] >= [0] = 4(4(0(1(3(1(x1))))))
                              [1]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(0(1(5(1(x1))))) = [1] >= [1] = 0(1(2(5(4(1(x1))))))
                              [1]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(0(2(4(5(x1))))) = [0] >= [0] = 4(0(2(5(0(4(x1))))))
                              [1]    [1]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(1(1(5(1(x1))))) = [0] >= [0] = 1(1(2(5(4(1(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(5(1(4(1(x1))))) = [1] >= [0] = 4(4(1(2(1(5(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(5(2(3(1(x1))))) = [1] >= [0] = 4(3(1(2(2(5(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(5(4(3(1(x1))))) = [1] >= [0] = 4(1(2(5(3(4(x1))))))
                              [0]    [0]                       
          
                              [0]    [0]                       
                              [0]    [0]                       
          4(5(5(3(1(x1))))) = [1] >= [0] = 1(3(2(5(5(4(x1))))))
                              [0]    [0]                       
         problem:
          DPs:
           
          TRS:
           0(1(1(x1))) -> 1(2(1(2(0(x1)))))
           0(3(1(x1))) -> 1(3(2(2(0(x1)))))
           0(3(1(x1))) -> 3(2(1(2(0(x1)))))
           0(3(1(x1))) -> 1(3(3(3(2(0(x1))))))
           0(4(1(x1))) -> 2(1(2(0(4(x1)))))
           0(0(4(5(x1)))) -> 0(0(2(5(4(x1)))))
           0(1(4(1(x1)))) -> 0(1(2(2(4(1(x1))))))
           0(1(4(5(x1)))) -> 4(0(1(2(5(4(x1))))))
           0(1(5(1(x1)))) -> 1(2(2(5(0(1(x1))))))
           0(1(5(3(x1)))) -> 0(5(3(2(1(x1)))))
           0(2(4(1(x1)))) -> 1(3(3(2(0(4(x1))))))
           0(2(4(1(x1)))) -> 4(2(1(2(0(4(x1))))))
           0(2(4(5(x1)))) -> 0(2(2(5(0(4(x1))))))
           0(3(1(5(x1)))) -> 0(1(2(5(3(x1)))))
           0(3(1(5(x1)))) -> 1(2(5(3(0(4(x1))))))
           0(3(5(1(x1)))) -> 1(2(5(3(0(x1)))))
           0(3(5(1(x1)))) -> 0(5(2(1(2(3(x1))))))
           0(3(5(5(x1)))) -> 0(3(2(5(5(x1)))))
           0(4(0(1(x1)))) -> 2(0(4(4(0(1(x1))))))
           0(4(1(5(x1)))) -> 1(2(5(0(4(x1)))))
           0(4(3(5(x1)))) -> 0(4(3(2(5(4(x1))))))
           0(4(5(1(x1)))) -> 2(5(4(4(0(1(x1))))))
           3(0(1(5(x1)))) -> 3(1(4(0(5(4(x1))))))
           3(0(3(1(x1)))) -> 1(3(3(2(0(x1)))))
           3(0(3(5(x1)))) -> 3(2(5(0(2(3(x1))))))
           3(3(0(1(x1)))) -> 0(1(3(2(2(3(x1))))))
           3(4(5(1(x1)))) -> 3(2(5(4(2(1(x1))))))
           4(1(3(5(x1)))) -> 1(2(5(3(4(4(x1))))))
           4(1(5(1(x1)))) -> 4(4(5(1(2(1(x1))))))
           4(4(1(5(x1)))) -> 4(1(2(5(4(x1)))))
           0(1(4(5(5(x1))))) -> 0(5(1(4(2(5(x1))))))
           0(2(1(4(5(x1))))) -> 0(0(1(2(5(4(x1))))))
           0(2(1(5(5(x1))))) -> 0(1(2(2(5(5(x1))))))
           0(4(2(4(1(x1))))) -> 1(3(2(0(4(4(x1))))))
           0(4(5(4(3(x1))))) -> 2(5(0(4(4(3(x1))))))
           0(5(1(5(1(x1))))) -> 0(5(1(1(2(5(x1))))))
           0(5(2(1(5(x1))))) -> 1(2(5(5(0(4(x1))))))
           0(5(2(4(1(x1))))) -> 4(5(2(1(2(0(x1))))))
           3(0(1(4(1(x1))))) -> 0(4(4(1(3(1(x1))))))
           3(0(1(4(1(x1))))) -> 4(3(2(0(1(1(x1))))))
           3(0(3(5(5(x1))))) -> 3(3(2(5(0(5(x1))))))
           3(0(5(3(1(x1))))) -> 1(0(3(3(2(5(x1))))))
           4(0(1(4(1(x1))))) -> 4(4(0(1(3(1(x1))))))
           4(0(1(5(1(x1))))) -> 0(1(2(5(4(1(x1))))))
           4(0(2(4(5(x1))))) -> 4(0(2(5(0(4(x1))))))
           4(1(1(5(1(x1))))) -> 1(1(2(5(4(1(x1))))))
           4(5(1(4(1(x1))))) -> 4(4(1(2(1(5(x1))))))
           4(5(2(3(1(x1))))) -> 4(3(1(2(2(5(x1))))))
           4(5(4(3(1(x1))))) -> 4(1(2(5(3(4(x1))))))
           4(5(5(3(1(x1))))) -> 1(3(2(5(5(4(x1))))))
         Qed