/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: min(X,0()) -> X
    2: min(s(X),s(Y)) -> min(X,Y)
    3: quot(0(),s(Y)) -> 0()
    4: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y)))
    5: log(s(0())) -> 0()
    6: log(s(s(X))) -> s(log(s(quot(X,s(s(0()))))))
Number of strict rules: 6
Direct POLO(bPol) ... failed.
Uncurrying log
1: min(X,0()) -> X
2: min(s(X),s(Y)) -> min(X,Y)
3: quot(0(),s(Y)) -> 0()
4: quot(s(X),s(Y)) -> s(quot(min(X,Y),s(Y)))
5: log^1_s(0()) -> 0()
6: log^1_s(s(X)) -> s(log^1_s(quot(X,s(s(0())))))
7: log(s(_1)) ->= log^1_s(_1)
Number of strict rules: 6
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #min(s(X),s(Y)) -> #min(X,Y)
   #2: #log^1_s(s(X)) -> #log^1_s(quot(X,s(s(0()))))
   #3: #log^1_s(s(X)) -> #quot(X,s(s(0())))
   #4: #log(s(_1)) ->? #log^1_s(_1)
   #5: #quot(s(X),s(Y)) -> #quot(min(X,Y),s(Y))
   #6: #quot(s(X),s(Y)) -> #min(X,Y)
Number of SCCs: 3, DPs: 3
  SCC { #1 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #min	w: x1 + x2
      #log^1_s	w: 0
      #log	w: 0
      log	w: 0
      0 	w: 0
      quot	w: 0
      min	w: 0
      #quot	w: 0
      log^1_s	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 2
  SCC { #2 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      #min	w: 0
      #log^1_s	w: x1
      #log	w: 0
      log	w: 0
      0 	w: 1
      quot	w: x1 + 1
      min	w: x1
      #quot	w: 0
      log^1_s	w: 0
    USABLE RULES: { 1..4 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
  SCC { #5 }
POLO(Sum)... succeeded.
      s 	w: x1 + 2
      #min	w: 0
      #log^1_s	w: 0
      #log	w: 0
      log	w: 0
      0 	w: 1
      quot	w: 1
      min	w: x1 + 1
      #quot	w: x1
      log^1_s	w: 0
    USABLE RULES: { 1..3 }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0