/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(b(b(x1))) -> a(b(x1))
    2: a(a(x1)) -> a(b(a(x1)))
    3: a(a(a(x1))) -> a(b(b(x1)))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(a(x1)) -> #a(b(a(x1)))
   #2: #a(a(x1)) -> #b(a(x1))
   #3: #a(a(a(x1))) -> #a(b(b(x1)))
   #4: #a(a(a(x1))) -> #b(b(x1))
   #5: #a(a(a(x1))) -> #b(x1)
   #6: #b(b(b(x1))) -> #a(b(x1))
Number of SCCs: 1, DPs: 4
	SCC { #3..6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (max{0, 156062 + x1_1}, -234093)
  b(x1)		w: (max{0, 234092 + x1_1 + x1_2}, -156061)
  #a(x1)		w: (max{0, 18008 + x1_1}, -1)
  #b(x1)		w: (max{0, 112743 + x1_1 + x1_2}, -1)
    USABLE RULES: { 1..3 }
    Removed DPs: #3..6
Number of SCCs: 0, DPs: 0