/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: a(c(a(x1))) -> b(a(c(x1)))
      2: a(b(b(x1))) -> a(a(c(x1)))
      3: b(a(c(x1))) -> c(c(a(x1)))
      4: a(c(a(x1))) ->= a(c(c(x1)))
      5: a(b(b(x1))) ->= a(b(b(x1)))
      6: a(b(b(x1))) ->= a(b(a(x1)))
      7: b(c(c(x1))) ->= c(b(c(x1)))
Removing trivial weak rule 5.
Number of strict rules: 3
Direct POLO(bPol) ... removes: 4 3 2
      a 	w: x1 + 21240
      b 	w: x1 + 21240
      c 	w: x1 + 1
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #a(b(b(x1))) ->? #a(b(a(x1)))
     #2: #a(b(b(x1))) ->? #a(x1)
     #3: #a(c(a(x1))) -> #a(c(x1))
Number of SCCs: 2, DPs: 3
  SCC { #3 }
POLO(Sum)... succeeded.
      a 	w: x1 + 1
      b 	w: 0
      c 	w: x1 + 28958
      #a 	w: x1
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      a 	w: x1 + 28101
      b 	w: x1 + 28101
      c 	w: x1 + 1424
      #a 	w: x1
    USABLE RULES: { 1 6 7 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [1,1;0,1] * x1 + [56751;27233]
      b 	w: [0,0;0,1] * x1 + [26324;56751]
      c 	w: [1,0;1,0] * x1
      #a 	w: [0,1;0,1] * x1
    USABLE RULES: { 1 6 7 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0