/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: minus(x,0()) -> x
    2: minus(s(x),s(y)) -> minus(x,y)
    3: f(0()) -> s(0())
    4: f(s(x)) -> minus(s(x),g(f(x)))
    5: g(0()) -> 0()
    6: g(s(x)) -> minus(s(x),f(g(x)))
Number of strict rules: 6
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #g(s(x)) -> #minus(s(x),f(g(x)))
   #3: #g(s(x)) -> #f(g(x))
   #4: #g(s(x)) -> #g(x)
   #5: #f(s(x)) -> #minus(s(x),g(f(x)))
   #6: #f(s(x)) -> #g(f(x))
   #7: #f(s(x)) -> #f(x)
Number of SCCs: 2, DPs: 5
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  f(x1)		w: (0)
  0()		w: (0)
  #f(x1)		w: (0)
  #g(x1)		w: (0)
  #minus(x1,x2)		w: (x2 + x1)
  g(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 4
	SCC { #3 #4 #6 #7 }
Sum... succeeded.
  s(x1)		w: (2441 + x1)
  minus(x1,x2)		w: (x1)
  f(x1)		w: (4879 + x1)
  0()		w: (1)
  #f(x1)		w: (2439 + x1)
  #g(x1)		w: (x1)
  #minus(x1,x2)		w: (0)
  g(x1)		w: (1 + x1)
    USABLE RULES: { 1..6 }
    Removed DPs: #3 #4 #6 #7
Number of SCCs: 0, DPs: 0