/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: p(s(x)) -> x
    2: s(p(x)) -> x
    3: +(0(),y) -> y
    4: +(s(x),y) -> s(+(x,y))
    5: +(p(x),y) -> p(+(x,y))
    6: minus(0()) -> 0()
    7: minus(s(x)) -> p(minus(x))
    8: minus(p(x)) -> s(minus(x))
    9: *(0(),y) -> 0()
    10: *(s(x),y) -> +(*(x,y),y)
    11: *(p(x),y) -> +(*(x,y),minus(y))
Number of strict rules: 11
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #*(p(x),y) -> #+(*(x,y),minus(y))
   #2: #*(p(x),y) -> #*(x,y)
   #3: #*(p(x),y) -> #minus(y)
   #4: #minus(s(x)) -> #p(minus(x))
   #5: #minus(s(x)) -> #minus(x)
   #6: #*(s(x),y) -> #+(*(x,y),y)
   #7: #*(s(x),y) -> #*(x,y)
   #8: #+(p(x),y) -> #p(+(x,y))
   #9: #+(p(x),y) -> #+(x,y)
   #10: #minus(p(x)) -> #s(minus(x))
   #11: #minus(p(x)) -> #minus(x)
   #12: #+(s(x),y) -> #s(+(x,y))
   #13: #+(s(x),y) -> #+(x,y)
Number of SCCs: 3, DPs: 6
  SCC { #5 #11 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      minus	w: 0
      #* 	w: 0
      #p 	w: 0
      p 	w: x1 + 1
      0 	w: 0
      #s 	w: 0
      #minus	w: x1
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #5 #11
Number of SCCs: 2, DPs: 4
  SCC { #2 #7 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      minus	w: 0
      #* 	w: x1
      #p 	w: 0
      p 	w: x1 + 1
      0 	w: 0
      #s 	w: 0
      #minus	w: 0
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #7
Number of SCCs: 1, DPs: 2
  SCC { #9 #13 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      minus	w: 0
      #* 	w: 0
      #p 	w: 0
      p 	w: x1 + 1
      0 	w: 0
      #s 	w: 0
      #minus	w: 0
      + 	w: 0
      #+ 	w: x1
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #9 #13
Number of SCCs: 0, DPs: 0