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