/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: D(t()) -> s(h())
    2: D(constant()) -> h()
    3: D(b(x,y)) -> b(D(x),D(y))
    4: D(c(x,y)) -> b(c(y,D(x)),c(x,D(y)))
    5: D(m(x,y)) -> m(D(x),D(y))
    6: D(opp(x)) -> opp(D(x))
    7: D(div(x,y)) -> m(div(D(x),y),div(c(x,D(y)),pow(y,2())))
    8: D(ln(x)) -> div(D(x),x)
    9: D(pow(x,y)) -> b(c(c(y,pow(x,m(y,1()))),D(x)),c(c(pow(x,y),ln(x)),D(y)))
    10: b(h(),x) -> x
    11: b(x,h()) -> x
    12: b(s(x),s(y)) -> s(s(b(x,y)))
    13: b(b(x,y),z) -> b(x,b(y,z))
Number of strict rules: 13
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #D(opp(x)) -> #D(x)
   #2: #b(b(x,y),z) -> #b(x,b(y,z))
   #3: #b(b(x,y),z) -> #b(y,z)
   #4: #D(pow(x,y)) -> #b(c(c(y,pow(x,m(y,1()))),D(x)),c(c(pow(x,y),ln(x)),D(y)))
   #5: #D(pow(x,y)) -> #D(x)
   #6: #D(pow(x,y)) -> #D(y)
   #7: #b(s(x),s(y)) -> #b(x,y)
   #8: #D(div(x,y)) -> #D(x)
   #9: #D(div(x,y)) -> #D(y)
   #10: #D(m(x,y)) -> #D(x)
   #11: #D(m(x,y)) -> #D(y)
   #12: #D(b(x,y)) -> #b(D(x),D(y))
   #13: #D(b(x,y)) -> #D(x)
   #14: #D(b(x,y)) -> #D(y)
   #15: #D(ln(x)) -> #D(x)
   #16: #D(c(x,y)) -> #b(c(y,D(x)),c(x,D(y)))
   #17: #D(c(x,y)) -> #D(x)
   #18: #D(c(x,y)) -> #D(y)
Number of SCCs: 2, DPs: 15
  SCC { #2 #3 #7 }
POLO(Sum)... succeeded.
      h 	w: 1
      1 	w: 0
      ln	w: 0
      s 	w: x1 + 1
      constant	w: 0
      b 	w: x1 + x2 + 1
      pow	w: 0
      t 	w: 0
      div	w: 0
      c 	w: 0
      D 	w: 0
      #D 	w: 0
      opp	w: 0
      2 	w: 0
      #b 	w: x1
      m 	w: 0
    USABLE RULES: { 10..13 }
    Removed DPs: #2 #3 #7
Number of SCCs: 1, DPs: 12
  SCC { #1 #5 #6 #8..11 #13..15 #17 #18 }
POLO(Sum)... succeeded.
      h 	w: 1
      1 	w: 0
      ln	w: x1 + 1
      s 	w: x1 + 1
      constant	w: 0
      b 	w: x1 + x2 + 1
      pow	w: x1 + x2 + 1
      t 	w: 0
      div	w: x1 + x2 + 1
      c 	w: x1 + x2 + 1
      D 	w: 0
      #D 	w: x1
      opp	w: x1 + 1
      2 	w: 0
      #b 	w: 0
      m 	w: x1 + x2 + 1
    USABLE RULES: { 10..13 }
    Removed DPs: #1 #5 #6 #8..11 #13..15 #17 #18
Number of SCCs: 0, DPs: 0