/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: circ(cons(a,s),t) -> cons(msubst(a,t),circ(s,t))
    2: circ(cons(lift(),s),cons(a,t)) -> cons(a,circ(s,t))
    3: circ(cons(lift(),s),cons(lift(),t)) -> cons(lift(),circ(s,t))
    4: circ(circ(s,t),u) -> circ(s,circ(t,u))
    5: circ(s,id()) -> s
    6: circ(id(),s) -> s
    7: circ(cons(lift(),s),circ(cons(lift(),t),u)) -> circ(cons(lift(),circ(s,t)),u)
    8: subst(a,id()) -> a
    9: msubst(a,id()) -> a
    10: msubst(msubst(a,s),t) -> msubst(a,circ(s,t))
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #circ(cons(lift(),s),cons(a,t)) -> #circ(s,t)
   #2: #circ(cons(lift(),s),circ(cons(lift(),t),u)) -> #circ(cons(lift(),circ(s,t)),u)
   #3: #circ(cons(lift(),s),circ(cons(lift(),t),u)) -> #circ(s,t)
   #4: #msubst(msubst(a,s),t) -> #msubst(a,circ(s,t))
   #5: #msubst(msubst(a,s),t) -> #circ(s,t)
   #6: #circ(cons(lift(),s),cons(lift(),t)) -> #circ(s,t)
   #7: #circ(cons(a,s),t) -> #msubst(a,t)
   #8: #circ(cons(a,s),t) -> #circ(s,t)
   #9: #circ(circ(s,t),u) -> #circ(s,circ(t,u))
   #10: #circ(circ(s,t),u) -> #circ(t,u)
Number of SCCs: 1, DPs: 10
  SCC { #1..10 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      #msubst	w: max(x1 + x2 - 12, 0)
      lift	w: 0
      msubst	w: max(x1 + x2 + 4, 0)
      subst	w: max(x1 - 1, 0)
      #circ	w: max(x1 + x2 - 9, 0)
      #subst	w: 0
      cons	w: max(x1 + 8, x2 + 3, 0)
      id	w: 1
      circ	w: max(x1 + x2 + 4, 0)
    USABLE RULES: { 1..7 9 10 }
    Removed DPs: #1..3 #6
Number of SCCs: 1, DPs: 6
  SCC { #4 #5 #7..10 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      #msubst	w: max(x1 - 1, 0)
      lift	w: 0
      msubst	w: max(x1 + x2 + 4, 0)
      subst	w: max(x1 - 1, 0)
      #circ	w: max(x1 - 3, 0)
      #subst	w: 0
      cons	w: max(x1 + 6, x2 + 1, 0)
      id	w: 1
      circ	w: max(x1 + x2 + 4, 0)
    USABLE RULES: { 1..7 9 10 }
    Removed DPs: #4 #5 #7..10
Number of SCCs: 0, DPs: 0