/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: f(a(),a()) -> f(a(),b())
    2: f(a(),b()) -> f(s(a()),c())
    3: f(s(X),c()) -> f(X,c())
    4: f(c(),c()) -> f(a(),a())
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying f
1: f^1_a(a()) -> f^1_a(b())
2: f^1_a(b()) -> f^1_s(a(),c())
3: f^1_s(X,c()) -> f(X,c())
4: f^1_c(c()) -> f^1_a(a())
5: f(a(),_1) ->= f^1_a(_1)
6: f(s(_1),_2) ->= f^1_s(_1,_2)
7: f(c(),_1) ->= f^1_c(_1)
Number of strict rules: 4
Direct POLO(bPol) ... removes: 6
      a 	w: 1
      s 	w: 2 * x1 + 2
      b 	w: 1
      c 	w: 1
      f 	w: x1 + x2 + 6
      f^1_a	w: x1 + 7
      f^1_c	w: x1 + 7
      f^1_s	w: x1 + x2 + 6
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #f^1_a(b()) -> #f^1_s(a(),c())
   #2: #f(c(),_1) ->? #f^1_c(_1)
   #3: #f(a(),_1) ->? #f^1_a(_1)
   #4: #f^1_s(X,c()) -> #f(X,c())
   #5: #f^1_a(a()) -> #f^1_a(b())
   #6: #f^1_c(c()) -> #f^1_a(a())
Number of SCCs: 1, DPs: 6
  SCC { #1..6 }
POLO(Sum)... succeeded.
      a 	w: 2
      #f^1_a	w: x1
      s 	w: 0
      b 	w: 2
      #f^1_s	w: x2 + 1
      c 	w: 1
      f 	w: 0
      #f^1_c	w: x1 + 1
      f^1_a	w: 0
      #f 	w: x2 + 1
      f^1_c	w: 0
      f^1_s	w: 0
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 5
  SCC { #1 #2 #4..6 }
POLO(Sum)... succeeded.
      a 	w: 2
      #f^1_a	w: x1 + 11
      s 	w: 0
      b 	w: 1
      #f^1_s	w: x1 + 9
      c 	w: 7
      f 	w: 0
      #f^1_c	w: x1 + 7
      f^1_a	w: 0
      #f 	w: x1 + x2 + 1
      f^1_c	w: 0
      f^1_s	w: 0
    USABLE RULES: { }
    Removed DPs: #1 #2 #4..6
Number of SCCs: 0, DPs: 0