/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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


YES
Input TRS:
    1: c(a(b(a(b(x1))))) -> a(b(a(b(b(a(b(b(c(a(b(c(a(x1)))))))))))))
Number of strict rules: 1
Direct poly ... failed.
Freezing c
1: c❆1_a(b(a(b(x1)))) -> a(b(a(b(b(a(b(b(c❆1_a(b(c❆1_a(x1)))))))))))
2: c(a(_1)) ->= c❆1_a(_1)
Number of strict rules: 1
Direct poly ... removes: 2
  a(x1)		w: (x1)
  b(x1)		w: (x1)
  c❆1_a(x1)		w: (x1)
  c(x1)		w: (1 + x1)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #c❆1_a(b(a(b(x1)))) -> #c❆1_a(b(c❆1_a(x1)))
   #2: #c❆1_a(b(a(b(x1)))) -> #c❆1_a(x1)
Number of SCCs: 1, DPs: 2
	SCC { #1 #2 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1)		w: (max{0, -144797 + x1})
  b(x1)		w: (max{0, 86878 + x1})
  c❆1_a(x1)		w: (0)
  #c❆1_a(x1)		w: (max{0, -1 + x1})
  c(x1)		w: (0)
    USABLE RULES: { 1 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a(x1)		w: (2, 20020 + x1_2)
  b(x1)		w: (2 + x1_2, 1 + x1_1)
  c❆1_a(x1)		w: (2, 1 + x1_1)
  #c❆1_a(x1)		w: (9360 + x1_1, 27151 + x1_2)
  c(x1)		w: (0, 0)
    USABLE RULES: { 1 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0