/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(c(a(),z,x)) -> b(a(),z)
    2: b(x,b(z,y)) -> f(b(f(f(z)),c(x,z,y)))
    3: b(y,z) -> z
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(x,b(z,y)) -> #f(b(f(f(z)),c(x,z,y)))
   #2: #b(x,b(z,y)) -> #b(f(f(z)),c(x,z,y))
   #3: #b(x,b(z,y)) -> #f(f(z))
   #4: #b(x,b(z,y)) -> #f(z)
   #5: #f(c(a(),z,x)) -> #b(a(),z)
Number of SCCs: 1, DPs: 4
	SCC { #1 #3..5 }
Sum... Max... succeeded.
  a()		w: (0)
  b(x1,x2)		w: (max{122454 + x2, 153069 + x1})
  c(x1,x2,x3)		w: (max{1 + x3, 122456 + x2, 1 + x1})
  f(x1)		w: (30613 + x1)
  #f(x1)		w: (10450 + x1)
  #b(x1,x2)		w: (max{132906 + x2, 132906 + x1})
    USABLE RULES: { 1..3 }
    Removed DPs: #1 #3 #4
Number of SCCs: 0, DPs: 0