/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(s(x1)) -> s(a(x1))
    2: b(a(b(s(x1)))) -> a(b(s(a(x1))))
    3: b(a(b(b(x1)))) -> c(s(x1))
    4: c(s(x1)) -> a(b(a(b(x1))))
    5: a(b(a(a(x1)))) -> b(a(b(a(x1))))
Number of strict rules: 5
Direct poly ... failed.
Freezing c
1: a(s(x1)) -> s(a(x1))
2: b(a(b(s(x1)))) -> a(b(s(a(x1))))
3: b(a(b(b(x1)))) -> c❆1_s(x1)
4: c❆1_s(x1) -> a(b(a(b(x1))))
5: a(b(a(a(x1)))) -> b(a(b(a(x1))))
6: c(s(_1)) ->= c❆1_s(_1)
Number of strict rules: 5
Direct poly ... removes: 6
  a(x1)		w: (x1)
  s(x1)		w: (11650 + 2 * x1)
  b(x1)		w: (x1)
  c(x1)		w: (2 * x1)
  c❆1_s(x1)		w: (x1)
Number of strict rules: 5
Direct poly ... failed.
Dependency Pairs:
   #1: #b(a(b(s(x1)))) -> #a(b(s(a(x1))))
   #2: #b(a(b(s(x1)))) -> #b(s(a(x1)))
   #3: #b(a(b(s(x1)))) -> #a(x1)
   #4: #a(b(a(a(x1)))) -> #b(a(b(a(x1))))
   #5: #a(b(a(a(x1)))) -> #a(b(a(x1)))
   #6: #a(b(a(a(x1)))) -> #b(a(x1))
   #7: #b(a(b(b(x1)))) -> #c❆1_s(x1)
   #8: #a(s(x1)) -> #a(x1)
   #9: #c❆1_s(x1) -> #a(b(a(b(x1))))
   #10: #c❆1_s(x1) -> #b(a(b(x1)))
   #11: #c❆1_s(x1) -> #a(b(x1))
   #12: #c❆1_s(x1) -> #b(x1)
Number of SCCs: 1, DPs: 10
	SCC { #3..12 }
Sum... succeeded.
  a(x1)		w: (2 + x1)
  s(x1)		w: (1 + x1)
  b(x1)		w: (2 + x1)
  c(x1)		w: (0)
  #c❆1_s(x1)		w: (11804 + x1)
  c❆1_s(x1)		w: (8 + x1)
  #a(x1)		w: (11798 + x1)
  #b(x1)		w: (11798 + x1)
    USABLE RULES: { 1..5 }
    Removed DPs: #3 #5 #6 #8 #10..12
Number of SCCs: 1, DPs: 3
	SCC { #4 #7 #9 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (32023 + x1_1, 32022 + x1_1)
  s(x1)		w: (9622 + x1_1, 9623)
  b(x1)		w: (1 + x1_2, 32023 + x1_2)
  c(x1)		w: (0, 0)
  #c❆1_s(x1)		w: (64047 + x1_2, 64046 + x1_2)
  c❆1_s(x1)		w: (64047 + x1_2, 64046 + x1_2)
  #a(x1)		w: (x1_2, x1_2)
  #b(x1)		w: (x1_1, x1_2)
    USABLE RULES: { 1..5 }
    Removed DPs: #4 #9
Number of SCCs: 0, DPs: 0