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


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MAYBE
Input TRS:
    1: min(0(),y) -> 0()
    2: min(x,0()) -> 0()
    3: min(s(x),s(y)) -> s(min(x,y))
    4: max(0(),y) -> y
    5: max(x,0()) -> x
    6: max(s(x),s(y)) -> s(max(x,y))
    7: +(0(),y) -> y
    8: +(s(x),y) -> s(+(x,y))
    9: -(x,0()) -> x
    10: -(s(x),s(y)) -> -(x,y)
    11: *(x,0()) -> 0()
    12: *(x,s(y)) -> +(x,*(x,y))
    13: f(s(x)) -> f(-(max(*(s(x),s(x)),+(s(x),s(s(s(0()))))),max(s(*(s(x),s(x))),+(s(x),s(s(s(s(0()))))))))
Number of strict rules: 13
Direct POLO(bPol) ... failed.
Uncurrying +
1: min(0(),y) -> 0()
2: min(x,0()) -> 0()
3: min(s(x),s(y)) -> s(min(x,y))
4: max(0(),y) -> y
5: max(x,0()) -> x
6: max(s(x),s(y)) -> s(max(x,y))
7: +^1_0(y) -> y
8: +^1_s(x,y) -> s(+(x,y))
9: -(x,0()) -> x
10: -(s(x),s(y)) -> -(x,y)
11: *(x,0()) -> 0()
12: *(x,s(y)) -> +(x,*(x,y))
13: f(s(x)) -> f(-(max(*(s(x),s(x)),+^1_s(x,s(s(s(0()))))),max(s(*(s(x),s(x))),+^1_s(x,s(s(s(s(0()))))))))
14: +(0(),_1) ->= +^1_0(_1)
15: +(s(_1),_2) ->= +^1_s(_1,_2)
Number of strict rules: 13
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #max(s(x),s(y)) -> #max(x,y)
   #2: #f(s(x)) -> #f(-(max(*(s(x),s(x)),+^1_s(x,s(s(s(0()))))),max(s(*(s(x),s(x))),+^1_s(x,s(s(s(s(0()))))))))
   #3: #f(s(x)) -> #-(max(*(s(x),s(x)),+^1_s(x,s(s(s(0()))))),max(s(*(s(x),s(x))),+^1_s(x,s(s(s(s(0())))))))
   #4: #f(s(x)) -> #max(*(s(x),s(x)),+^1_s(x,s(s(s(0())))))
   #5: #f(s(x)) -> #*(s(x),s(x))
   #6: #f(s(x)) -> #+^1_s(x,s(s(s(0()))))
   #7: #f(s(x)) -> #max(s(*(s(x),s(x))),+^1_s(x,s(s(s(s(0()))))))
   #8: #f(s(x)) -> #*(s(x),s(x))
   #9: #f(s(x)) -> #+^1_s(x,s(s(s(s(0())))))
   #10: #*(x,s(y)) -> #+(x,*(x,y))
   #11: #*(x,s(y)) -> #*(x,y)
   #12: #+(0(),_1) ->? #+^1_0(_1)
   #13: #-(s(x),s(y)) -> #-(x,y)
   #14: #min(s(x),s(y)) -> #min(x,y)
   #15: #+^1_s(x,y) -> #+(x,y)
   #16: #+(s(_1),_2) ->? #+^1_s(_1,_2)
Number of SCCs: 6, DPs: 7
  SCC { #11 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #min	w: 0
      #* 	w: x2
      +^1_0	w: 0
      f 	w: 0
      #+^1_s	w: 0
      0 	w: 0
      max	w: 0
      #max	w: 0
      - 	w: 0
      #f 	w: 0
      min	w: 0
      +^1_s	w: 0
      #- 	w: 0
      #+^1_0	w: 0
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #11
Number of SCCs: 5, DPs: 6
  SCC { #14 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #min	w: x2
      #* 	w: 0
      +^1_0	w: 0
      f 	w: 0
      #+^1_s	w: 0
      0 	w: 0
      max	w: 0
      #max	w: 0
      - 	w: 0
      #f 	w: 0
      min	w: 0
      +^1_s	w: 0
      #- 	w: 0
      #+^1_0	w: 0
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #14
Number of SCCs: 4, DPs: 5
  SCC { #13 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #min	w: 0
      #* 	w: 0
      +^1_0	w: 0
      f 	w: 0
      #+^1_s	w: 0
      0 	w: 0
      max	w: 0
      #max	w: 0
      - 	w: 0
      #f 	w: 0
      min	w: 0
      +^1_s	w: 0
      #- 	w: x2
      #+^1_0	w: 0
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #13
Number of SCCs: 3, DPs: 4
  SCC { #1 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #min	w: 0
      #* 	w: 0
      +^1_0	w: 0
      f 	w: 0
      #+^1_s	w: 0
      0 	w: 0
      max	w: 0
      #max	w: x2
      - 	w: 0
      #f 	w: 0
      min	w: 0
      +^1_s	w: 0
      #- 	w: 0
      #+^1_0	w: 0
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 3
  SCC { #15 #16 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      #min	w: 0
      #* 	w: 0
      +^1_0	w: 0
      f 	w: 0
      #+^1_s	w: x1 + 1
      0 	w: 0
      max	w: 0
      #max	w: 0
      - 	w: 0
      #f 	w: 0
      min	w: 0
      +^1_s	w: 0
      #- 	w: 0
      #+^1_0	w: 0
      + 	w: 0
      #+ 	w: x1
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #15 #16
Number of SCCs: 1, DPs: 1
  SCC { #2 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.