/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: a(b(b(a(x1)))) -> b(a(b(a(x1))))
    2: a(b(b(b(x1)))) -> a(a(b(a(x1))))
    3: a(a(a(a(x1)))) -> b(b(b(a(x1))))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(b(b(b(x1)))) -> #a(a(b(a(x1))))
   #2: #a(b(b(b(x1)))) -> #a(b(a(x1)))
   #3: #a(b(b(b(x1)))) -> #a(x1)
   #4: #a(b(b(a(x1)))) -> #a(b(a(x1)))
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... succeeded.
  a(x1)		w: (39 + x1)
  b(x1)		w: (39 + x1)
  #a(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #2..4
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  a(x1)		w: (max{0, 1 + x1_1 + x1_2}, 0)
  b(x1)		w: (max{0, 1 + x1_1}, -1)
  #a(x1)		w: (max{0, 27311 + x1_1}, -1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0