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


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YES
Input TRS:
    1: -(0(),y) -> 0()
    2: -(x,0()) -> x
    3: -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0())
    4: p(0()) -> 0()
    5: p(s(x)) -> x
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Uncurrying p
1: -(0(),y) -> 0()
2: -(x,0()) -> x
3: -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p^1_s(y))),0())
4: p^1_0() -> 0()
5: p^1_s(x) -> x
6: p(0()) ->= p^1_0()
7: p(s(_1)) ->= p^1_s(_1)
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #p(0()) ->? #p^1_0()
   #2: #p(s(_1)) ->? #p^1_s(_1)
   #3: #-(x,s(y)) -> #-(x,p^1_s(y))
   #4: #-(x,s(y)) -> #p^1_s(y)
Number of SCCs: 1, DPs: 1
  SCC { #3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      #p^1_0	w: 0
      #p^1_s	w: 0
      p^1_0	w: 0
      greater	w: 0
      p^1_s	w: x1 + 1
      #p 	w: 0
      p 	w: 0
      0 	w: 0
      if	w: 0
      - 	w: 0
      #- 	w: x2
    USABLE RULES: { 5 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0