/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(),f(a(),x)) -> f(a(),f(x,f(f(a(),a()),a())))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying f
1: f^1_a(f^1_a(x)) -> f^1_a(f(x,f(f^1_a(a()),a())))
2: f(a(),_1) ->= f^1_a(_1)
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #f(a(),_1) ->? #f^1_a(_1)
   #2: #f^1_a(f^1_a(x)) -> #f^1_a(f(x,f(f^1_a(a()),a())))
   #3: #f^1_a(f^1_a(x)) -> #f(x,f(f^1_a(a()),a()))
   #4: #f^1_a(f^1_a(x)) -> #f(f^1_a(a()),a())
   #5: #f^1_a(f^1_a(x)) -> #f^1_a(a())
Number of SCCs: 1, DPs: 3
  SCC { #1..3 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      a 	w: 7
      #f^1_a	w: max(x1 - 1, 0)
      f 	w: max(x1 + x2 - 10, 0)
      f^1_a	w: max(x1 - 3, 0)
      #f 	w: max(x1 + x2 - 6, 0)
    USABLE RULES: { 1 2 }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1
  SCC { #2 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [2;0]
      #f^1_a	w: [0,1;0,1] * x1
      f 	w: [0,0;1,0] * x1 + [0,0;1,0] * x2 + [1;0]
      f^1_a	w: [0,0;1,0] * x1 + [1;2]
      #f 	w: [0;0]
    USABLE RULES: { 1 2 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0