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


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YES
Input TRS:
    1: plus(0(),Y) -> Y
    2: plus(s(X),Y) -> s(plus(X,Y))
    3: min(X,0()) -> X
    4: min(s(X),s(Y)) -> min(X,Y)
    5: min(min(X,Y),Z()) -> min(X,plus(Y,Z()))
    6: quot(0(),s(Y)) -> 0()
    7: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y)))
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #plus(s(X),Y) -> #plus(X,Y)
   #2: #quot(s(X),s(Y)) -> #quot(min(X,Y),s(Y))
   #3: #quot(s(X),s(Y)) -> #min(X,Y)
   #4: #min(min(X,Y),Z()) -> #min(X,plus(Y,Z()))
   #5: #min(min(X,Y),Z()) -> #plus(Y,Z())
   #6: #min(s(X),s(Y)) -> #min(X,Y)
Number of SCCs: 3, DPs: 4
  SCC { #1 }
POLO(Sum)... succeeded.
      Z 	w: 0
      s 	w: x1 + 1
      #plus	w: x1
      #min	w: 0
      0 	w: 0
      quot	w: 0
      plus	w: 0
      min	w: 0
      #quot	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 3
  SCC { #2 }
POLO(Sum)... succeeded.
      Z 	w: 1
      s 	w: x1 + 2
      #plus	w: 0
      #min	w: 0
      0 	w: 1
      quot	w: 0
      plus	w: x1 + x2 + 1
      min	w: x1 + 1
      #quot	w: x1
    USABLE RULES: { 1..5 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2
  SCC { #4 #6 }
POLO(Sum)... succeeded.
      Z 	w: 1
      s 	w: x1 + 2
      #plus	w: 0
      #min	w: x1 + x2
      0 	w: 0
      quot	w: 0
      plus	w: x1 + x2 + 1
      min	w: x1 + x2 + 2
      #quot	w: x1
    USABLE RULES: { 1..5 }
    Removed DPs: #4 #6
Number of SCCs: 0, DPs: 0