/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: app(nil(),k) -> k
    2: app(l,nil()) -> l
    3: app(cons(x,l),k) -> cons(x,app(l,k))
    4: sum(cons(x,nil())) -> cons(x,nil())
    5: sum(cons(x,cons(y,l))) -> sum(cons(plus(x,y),l))
    6: sum(app(l,cons(x,cons(y,k)))) -> sum(app(l,sum(cons(x,cons(y,k)))))
    7: plus(0(),y) -> y
    8: plus(s(x),y) -> s(plus(x,y))
    9: sum(plus(cons(0(),x),cons(y,l))) -> pred(sum(cons(s(x),cons(y,l))))
    10: pred(cons(s(x),nil())) -> cons(x,nil())
Number of strict rules: 10
Direct POLO(bPol) ... removes: 1 3 5 10 7 9 2
      s 	w: x1 + 1
      pred	w: x1
      sum	w: x1
      0 	w: 1
      nil	w: 1
      plus	w: x1 + x2 + 1
      cons	w: x1 + x2 + 3
      app	w: 2 * x1 + x2 + 1
Number of strict rules: 3
Direct POLO(bPol) ... removes: 8
      s 	w: x1 + 2
      pred	w: x1
      sum	w: x1
      0 	w: 1
      nil	w: 1
      plus	w: 2 * x1 + 2 * x2 + 1
      cons	w: x1 + x2 + 2
      app	w: 2 * x1 + x2 + 1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying sum
4: sum^1_cons(x,nil()) -> cons(x,nil())
6: sum^1_app(l,cons(x,cons(y,k))) -> sum^1_app(l,sum^1_cons(x,cons(y,k)))
11: sum(cons(_1,_2)) ->= sum^1_cons(_1,_2)
12: sum(app(_1,_2)) ->= sum^1_app(_1,_2)
Number of strict rules: 2
Direct POLO(bPol) ... removes: 4 12 11 6
      sum^1_app	w: 2 * x1 + 2 * x2
      s 	w: x1
      sum^1_cons	w: 2 * x1 + x2 + 5
      pred	w: x1
      sum	w: 2 * x1
      0 	w: 0
      nil	w: 1
      plus	w: x1 + x2
      cons	w: 2 * x1 + 2 * x2 + 3
      app	w: 2 * x1 + 2 * x2 + 1
Number of strict rules: 0