/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(0()) -> true()
    2: f(1()) -> false()
    3: f(s(x)) -> f(x)
    4: if(true(),x,y) -> x
    5: if(false(),x,y) -> y
    6: g(s(x),s(y)) -> if(f(x),s(x),s(y))
    7: g(x,c(y)) -> g(x,g(s(c(y)),y))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #g(s(x),s(y)) -> #if(f(x),s(x),s(y))
   #2: #g(s(x),s(y)) -> #f(x)
   #3: #g(x,c(y)) -> #g(x,g(s(c(y)),y))
   #4: #g(x,c(y)) -> #g(s(c(y)),y)
   #5: #f(s(x)) -> #f(x)
Number of SCCs: 2, DPs: 3
	SCC { #5 }
Sum... succeeded.
  1()		w: (0)
  s(x1)		w: (1 + x1)
  false()		w: (0)
  c(x1)		w: (0)
  true()		w: (0)
  f(x1)		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #f(x1)		w: (x1)
  #g(x1,x2)		w: (0)
  #if(x1,x2,x3)		w: (0)
  g(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #5
Number of SCCs: 1, DPs: 2
	SCC { #3 #4 }
Sum... succeeded.
  1()		w: (0)
  s(x1)		w: (1)
  false()		w: (1)
  c(x1)		w: (21240 + x1)
  true()		w: (1)
  f(x1)		w: (1)
  0()		w: (0)
  if(x1,x2,x3)		w: (x3 + x2)
  #f(x1)		w: (0)
  #g(x1,x2)		w: (7719 + x2)
  #if(x1,x2,x3)		w: (0)
  g(x1,x2)		w: (21239 + x2)
    USABLE RULES: { 1..7 }
    Removed DPs: #3 #4
Number of SCCs: 0, DPs: 0