/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: a(c(a(x1))) -> c(a(c(x1)))
      2: c(b(a(x1))) -> b(c(b(x1)))
      3: c(c(c(x1))) ->= a(b(c(x1)))
      4: a(a(b(x1))) ->= c(b(a(x1)))
      5: b(c(c(x1))) ->= b(c(a(x1)))
      6: b(a(a(x1))) ->= b(c(b(x1)))
Number of strict rules: 2
Direct POLO(bPol) ... removes: 3 6 2
      a 	w: x1 + 21239
      b 	w: x1 + 1
      c 	w: x1 + 21239
Number of strict rules: 1
Direct POLO(bPol) ... removes: 4
      a 	w: 2 * x1 + 31112
      b 	w: x1 + 1
      c 	w: 2 * x1 + 31112
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying b
      1: a(c(a(x1))) -> c(a(c(x1)))
      5: b^1_c(c(x1)) ->= b^1_c(a(x1))
      7: b(c(_1)) ->= b^1_c(_1)
Number of strict rules: 1
Direct POLO(bPol) ... removes: 7
      a 	w: x1 + 1
      b 	w: x1
      b^1_c	w: x1
      c 	w: x1 + 1
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
     #1: #b^1_c(c(x1)) ->? #b^1_c(a(x1))
     #2: #b^1_c(c(x1)) ->? #a(x1)
     #3: #a(c(a(x1))) -> #a(c(x1))
Number of SCCs: 2, DPs: 2
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [1,0;1,1] * x1 + [35615;1]
      b 	w: [0;0]
      #b^1_c	w: [0,1;1,1] * x1
      b^1_c	w: [0;0]
      c 	w: [1,0;1,1] * x1 + [17209;18407]
      #a 	w: [0;0]
    USABLE RULES: { 1 }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1
  SCC { #3 }
POLO(Sum)... succeeded.
      a 	w: x1 + 1
      b 	w: 0
      #b^1_c	w: 0
      b^1_c	w: 0
      c 	w: x1 + 32287
      #a 	w: x1
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0