/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: b(f(b(x,z)),y) -> f(f(f(b(z,b(y,z)))))
    2: c(f(f(c(x,a(),z))),a(),y) -> b(y,f(b(a(),z)))
    3: b(b(c(b(a(),a()),a(),z),f(a())),y) -> z
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(f(f(c(x,a(),z))),a(),y) -> #b(y,f(b(a(),z)))
   #2: #c(f(f(c(x,a(),z))),a(),y) -> #b(a(),z)
   #3: #b(f(b(x,z)),y) -> #b(z,b(y,z))
   #4: #b(f(b(x,z)),y) -> #b(y,z)
Number of SCCs: 1, DPs: 2
	SCC { #3 #4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a()		w: (1, 7178)
  b(x1,x2)		w: (x2_1 + x2_2 + x1_1, 1 + x2_1 + x1_2)
  c(x1,x2,x3)		w: (x3_1 + x2_1 + x2_2 + x1_1 + x1_2, 2332 + x3_1 + x3_2)
  f(x1)		w: (1, 12331 + x1_1)
  #c(x1,x2,x3)		w: (0, 0)
  #b(x1,x2)		w: (19264 + x2_2 + x1_2, 33765)
    USABLE RULES: { 1 3 }
    Removed DPs: #3 #4
Number of SCCs: 0, DPs: 0