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


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MAYBE
Input TRS:
    1: sub(0(),0()) -> 0()
    2: sub(s(x),0()) -> s(x)
    3: sub(0(),s(x)) -> 0()
    4: sub(s(x),s(y)) -> sub(x,y)
    5: zero(nil()) -> zero2(0(),nil())
    6: zero(cons(x,xs)) -> zero2(sub(x,x),cons(x,xs))
    7: zero2(0(),nil()) -> nil()
    8: zero2(0(),cons(x,xs)) -> cons(sub(x,x),zero(xs))
    9: zero2(s(y),nil()) -> zero(nil())
    10: zero2(s(y),cons(x,xs)) -> zero(cons(x,xs))
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying zero2 zero
1: sub(0(),0()) -> 0()
2: sub(s(x),0()) -> s(x)
3: sub(0(),s(x)) -> 0()
4: sub(s(x),s(y)) -> sub(x,y)
5: zero^1_nil() -> zero2^1_0(nil())
6: zero^1_cons(x,xs) -> zero2(sub(x,x),cons(x,xs))
7: zero2^1_0(nil()) -> nil()
8: zero2^1_0(cons(x,xs)) -> cons(sub(x,x),zero(xs))
9: zero2^1_s(y,nil()) -> zero^1_nil()
10: zero2^1_s(y,cons(x,xs)) -> zero^1_cons(x,xs)
11: zero(cons(_1,_2)) ->= zero^1_cons(_1,_2)
12: zero(nil()) ->= zero^1_nil()
13: zero2(0(),_1) ->= zero2^1_0(_1)
14: zero2(s(_1),_2) ->= zero2^1_s(_1,_2)
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #zero^1_cons(x,xs) -> #zero2(sub(x,x),cons(x,xs))
   #2: #zero^1_cons(x,xs) -> #sub(x,x)
   #3: #zero2(0(),_1) ->? #zero2^1_0(_1)
   #4: #zero2^1_s(y,nil()) -> #zero^1_nil()
   #5: #zero(cons(_1,_2)) ->? #zero^1_cons(_1,_2)
   #6: #zero(nil()) ->? #zero^1_nil()
   #7: #zero2(s(_1),_2) ->? #zero2^1_s(_1,_2)
   #8: #zero2^1_s(y,cons(x,xs)) -> #zero^1_cons(x,xs)
   #9: #zero^1_nil() -> #zero2^1_0(nil())
   #10: #zero2^1_0(cons(x,xs)) -> #sub(x,x)
   #11: #zero2^1_0(cons(x,xs)) -> #zero(xs)
   #12: #sub(s(x),s(y)) -> #sub(x,y)
Number of SCCs: 2, DPs: 7
  SCC { #12 }
POLO(Sum)... succeeded.
      zero	w: 0
      zero2^1_s	w: 0
      s 	w: x1 + 1
      #zero2^1_0	w: 0
      zero^1_cons	w: 0
      zero^1_nil	w: 0
      #zero2^1_s	w: 0
      sub	w: 0
      #sub	w: x2
      zero2	w: 0
      0 	w: 0
      zero2^1_0	w: 0
      nil	w: 0
      #zero^1_cons	w: 0
      #zero^1_nil	w: 0
      cons	w: 0
      #zero	w: 0
      #zero2	w: 0
    USABLE RULES: { }
    Removed DPs: #12
Number of SCCs: 1, DPs: 6
  SCC { #1 #3 #5 #7 #8 #11 }
POLO(Sum)... succeeded.
      zero	w: 0
      zero2^1_s	w: 0
      s 	w: 1
      #zero2^1_0	w: x1
      zero^1_cons	w: 0
      zero^1_nil	w: 0
      #zero2^1_s	w: x2 + 1
      sub	w: x1 + 1
      #sub	w: 0
      zero2	w: 0
      0 	w: 1
      zero2^1_0	w: 0
      nil	w: 0
      #zero^1_cons	w: x1 + x2 + 4
      #zero^1_nil	w: 0
      cons	w: x1 + x2 + 3
      #zero	w: x1 + 2
      #zero2	w: x2 + 1
    USABLE RULES: { 1..3 }
    Removed DPs: #3 #5 #11
Number of SCCs: 1, DPs: 3
  SCC { #1 #7 #8 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.