/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: b(a(a(x1))) -> a(b(c(x1)))
    2: c(a(x1)) -> a(c(x1))
    3: b(c(a(x1))) -> a(b(c(x1)))
    4: c(b(x1)) -> d(x1)
    5: d(x1) -> b(a(x1))
    6: a(d(x1)) -> d(a(x1))
    7: a(a(x1)) -> a(b(a(x1)))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(a(x1)) -> #a(c(x1))
   #2: #c(a(x1)) -> #c(x1)
   #3: #a(d(x1)) -> #d(a(x1))
   #4: #a(d(x1)) -> #a(x1)
   #5: #a(a(x1)) -> #a(b(a(x1)))
   #6: #a(a(x1)) -> #b(a(x1))
   #7: #d(x1) -> #b(a(x1))
   #8: #d(x1) -> #a(x1)
   #9: #b(c(a(x1))) -> #a(b(c(x1)))
   #10: #b(c(a(x1))) -> #b(c(x1))
   #11: #b(c(a(x1))) -> #c(x1)
   #12: #b(a(a(x1))) -> #a(b(c(x1)))
   #13: #b(a(a(x1))) -> #b(c(x1))
   #14: #b(a(a(x1))) -> #c(x1)
   #15: #c(b(x1)) -> #d(x1)
Number of SCCs: 1, DPs: 15
	SCC { #1..15 }
Sum... succeeded.
  a(x1)		w: (40 + x1)
  d(x1)		w: (40 + x1)
  b(x1)		w: (x1)
  c(x1)		w: (40 + x1)
  #d(x1)		w: (40 + x1)
  #c(x1)		w: (41 + x1)
  #a(x1)		w: (40 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..7 }
    Removed DPs: #1 #2 #4 #6 #10 #11 #13..15
Number of SCCs: 1, DPs: 5
	SCC { #3 #5 #7 #8 #12 }
Sum... Max... succeeded.
  a(x1)		w: (x1)
  d(x1)		w: (3 + x1)
  b(x1)		w: (0)
  c(x1)		w: (1)
  #d(x1)		w: (3 + x1)
  #c(x1)		w: (0)
  #a(x1)		w: (1 + x1)
  #b(x1)		w: (2)
    USABLE RULES: { 1 3 5..7 }
    Removed DPs: #3 #7 #8 #12
Number of SCCs: 1, DPs: 1
	SCC { #5 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1)		w: (max{0, 33956 + x1})
  d(x1)		w: (max{0, 1 + x1})
  b(x1)		w: (max{0, -33955 + x1})
  c(x1)		w: (max{0, 33956 + x1})
  #d(x1)		w: (0)
  #c(x1)		w: (0)
  #a(x1)		w: (max{0, -2 + x1})
  #b(x1)		w: (0)
    USABLE RULES: { 1..7 }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0