/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: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x))
Number of strict rules: 1
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(x,f(a(),a())) -> #f(f(f(a(),a()),a()),f(a(),x))
   #2: #f(x,f(a(),a())) -> #f(f(a(),a()),a())
   #3: #f(x,f(a(),a())) -> #f(a(),x)
Number of SCCs: 1, DPs: 2
	SCC { #1 #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  a()		w: (0, 1)
  f(x1,x2)		w: (x2_2 + x1_2, 0)
  #f(x1,x2)		w: (3 + x2_1 + x1_1 + x1_2, x2_1 + x1_1 + x1_2)
    USABLE RULES: { 1 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a()		w: (109382)
  f(x1,x2)		w: (max{0, -145843 + x2 + x1})
  #f(x1,x2)		w: (max{0, 20539 + x2 + x1})
    USABLE RULES: { 1 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0