/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: c(a(a(x1))) -> a(c(a(x1)))
      2: a(c(c(x1))) -> a(c(b(x1)))
      3: a(b(b(x1))) -> a(a(b(x1)))
      4: a(c(c(x1))) ->= c(a(b(x1)))
      5: a(a(b(x1))) ->= c(a(b(x1)))
      6: a(b(b(x1))) ->= a(b(c(x1)))
      7: a(a(a(x1))) ->= c(b(a(x1)))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a(c(c(x1))) -> #a(c(b(x1)))
     #2: #a(c(c(x1))) -> #c(b(x1))
     #3: #a(b(b(x1))) ->? #a(b(c(x1)))
     #4: #a(b(b(x1))) ->? #c(x1)
     #5: #a(a(a(x1))) ->? #c(b(a(x1)))
     #6: #a(a(b(x1))) ->? #c(a(b(x1)))
     #7: #a(b(b(x1))) -> #a(a(b(x1)))
     #8: #a(b(b(x1))) -> #a(b(x1))
     #9: #c(a(a(x1))) -> #a(c(a(x1)))
     #10: #c(a(a(x1))) -> #c(a(x1))
     #11: #a(c(c(x1))) ->? #c(a(b(x1)))
     #12: #a(c(c(x1))) ->? #a(b(x1))
Number of SCCs: 1, DPs: 8
  SCC { #4 #6..12 }
POLO(Sum)... succeeded.
      a 	w: x1 + 52868
      b 	w: x1 + 52868
      c 	w: x1 + 52868
      #c 	w: x1
      #a 	w: x1
    USABLE RULES: { 1..7 }
    Removed DPs: #4 #8 #10 #12
Number of SCCs: 1, DPs: 3
  SCC { #6 #9 #11 }
POLO(Sum)... succeeded.
      a 	w: x1
      b 	w: 18458
      c 	w: 0
      #c 	w: 0
      #a 	w: x1
    USABLE RULES: { 1..7 }
    Removed DPs: #6
Number of SCCs: 1, DPs: 2
  SCC { #9 #11 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [1,0;1,0] * x1 + [1;0]
      b 	w: [0,1;0,1] * x1 + [0;1]
      c 	w: [0,1;0,1] * x1 + [1;1]
      #c 	w: [0,1;0,0] * x1 + [1;1]
      #a 	w: [1,0;0,0] * x1 + [0;1]
    USABLE RULES: { 1..7 }
    Removed DPs: #9 #11
Number of SCCs: 0, DPs: 0