/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
      1: a(b(c(x1))) -> c(b(c(x1)))
      2: c(b(c(x1))) -> a(c(b(x1)))
      3: b(c(c(x1))) -> b(b(b(x1)))
      4: b(b(a(x1))) -> b(c(a(x1)))
      5: a(c(a(x1))) ->= a(b(a(x1)))
      6: a(b(b(x1))) ->= c(c(c(x1)))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #c(b(c(x1))) -> #a(c(b(x1)))
     #2: #c(b(c(x1))) -> #c(b(x1))
     #3: #c(b(c(x1))) -> #b(x1)
     #4: #a(b(b(x1))) ->? #c(c(c(x1)))
     #5: #a(b(b(x1))) ->? #c(c(x1))
     #6: #a(b(b(x1))) ->? #c(x1)
     #7: #a(c(a(x1))) ->? #a(b(a(x1)))
     #8: #a(c(a(x1))) ->? #b(a(x1))
     #9: #b(c(c(x1))) -> #b(b(b(x1)))
     #10: #b(c(c(x1))) -> #b(b(x1))
     #11: #b(c(c(x1))) -> #b(x1)
     #12: #a(b(c(x1))) -> #c(b(c(x1)))
     #13: #b(b(a(x1))) -> #b(c(a(x1)))
     #14: #b(b(a(x1))) -> #c(a(x1))
Number of SCCs: 2, DPs: 9
  SCC { #9..11 #13 }
POLO(Sum)... succeeded.
      a 	w: x1 + 28958
      b 	w: x1 + 28958
      c 	w: x1 + 28958
      #c 	w: 0
      #a 	w: 0
      #b 	w: x1
    USABLE RULES: { 1..6 }
    Removed DPs: #10 #11
Number of SCCs: 2, DPs: 7
  SCC { #9 #13 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [28244;3]
      b 	w: [0,1;0,0] * x1 + [28243;1]
      c 	w: [28245;1]
      #c 	w: [0;0]
      #a 	w: [0;0]
      #b 	w: [1,0;1,0] * x1
    USABLE RULES: { 3 4 }
    Removed DPs: #9 #13
Number of SCCs: 1, DPs: 5
  SCC { #1 #2 #6 #7 #12 }
POLO(Sum)... succeeded.
      a 	w: x1 + 30613
      b 	w: x1 + 30613
      c 	w: x1 + 30613
      #c 	w: x1
      #a 	w: x1
      #b 	w: 0
    USABLE RULES: { 1..6 }
    Removed DPs: #2 #6
Number of SCCs: 1, DPs: 3
  SCC { #1 #7 #12 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded.
      a 	w: [1,0;0,0] * x1 + [0;52278]
      b 	w: [52279;21279]
      c 	w: [0,1;0,0] * x1 + [1;52278]
      #c 	w: [52278;0]
      #a 	w: [1,0;0,0] * x1
      #b 	w: [0;0]
    USABLE RULES: { 1..6 }
    Removed DPs: #1 #12
Number of SCCs: 0, DPs: 0