/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(a(b(x1))) -> a(c(c(x1)))
      2: c(c(b(x1))) -> b(b(c(x1)))
      3: c(a(a(x1))) -> c(a(c(x1)))
      4: b(b(c(x1))) ->= b(a(c(x1)))
      5: a(b(a(x1))) ->= a(b(c(x1)))
      6: c(a(c(x1))) ->= c(b(a(x1)))
      7: a(a(b(x1))) ->= a(a(b(x1)))
Removing trivial weak rule 7.
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #c(c(b(x1))) -> #b(b(c(x1)))
     #2: #c(c(b(x1))) -> #b(c(x1))
     #3: #c(c(b(x1))) -> #c(x1)
     #4: #c(a(c(x1))) ->? #c(b(a(x1)))
     #5: #c(a(c(x1))) ->? #b(a(x1))
     #6: #c(a(c(x1))) ->? #a(x1)
     #7: #a(b(a(x1))) ->? #a(b(c(x1)))
     #8: #a(b(a(x1))) ->? #b(c(x1))
     #9: #a(b(a(x1))) ->? #c(x1)
     #10: #c(a(a(x1))) -> #c(a(c(x1)))
     #11: #c(a(a(x1))) -> #a(c(x1))
     #12: #c(a(a(x1))) -> #c(x1)
     #13: #a(a(b(x1))) -> #a(c(c(x1)))
     #14: #a(a(b(x1))) -> #c(c(x1))
     #15: #a(a(b(x1))) -> #c(x1)
     #16: #b(b(c(x1))) ->? #b(a(c(x1)))
     #17: #b(b(c(x1))) ->? #a(c(x1))
Number of SCCs: 1, DPs: 14
  SCC { #1..3 #6..15 #17 }
POLO(Sum)... succeeded.
      a 	w: x1 + 284
      b 	w: x1 + 284
      c 	w: x1 + 284
      #c 	w: x1 + 2
      #a 	w: x1 + 282
      #b 	w: x1
    USABLE RULES: { 1..6 }
    Removed DPs: #1..3 #6 #8 #9 #11 #12 #14 #15 #17
Number of SCCs: 2, DPs: 2
  SCC { #10 }
POLO(Sum)... succeeded.
      a 	w: x1 + 31893
      b 	w: 21656
      c 	w: 31892
      #c 	w: x1 + 2
      #a 	w: 282
      #b 	w: x1
    USABLE RULES: { 2..6 }
    Removed DPs: #10
Number of SCCs: 1, DPs: 1
  SCC { #7 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [54760;54759]
      b 	w: [0,1;1,0] * x1
      c 	w: [54759;54760]
      #c 	w: [0;0]
      #a 	w: [0,1;0,1] * x1
      #b 	w: [0;0]
    USABLE RULES: { 2..6 }
    Removed DPs: #7
Number of SCCs: 0, DPs: 0