/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: prime(0()) -> false()
    2: prime(s(0())) -> false()
    3: prime(s(s(x))) -> prime1(s(s(x)),s(x))
    4: prime1(x,0()) -> false()
    5: prime1(x,s(0())) -> true()
    6: prime1(x,s(s(y))) -> and(not(divp(s(s(y)),x)),prime1(x,s(y)))
    7: divp(x,y) -> =(rem(x,y),0())
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #prime1(x,s(s(y))) -> #divp(s(s(y)),x)
   #2: #prime1(x,s(s(y))) -> #prime1(x,s(y))
   #3: #prime(s(s(x))) -> #prime1(s(s(x)),s(x))
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  prime(x1)		w: (0)
  and(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  #prime(x1)		w: (0)
  0()		w: (0)
  =(x1,x2)		w: (0)
  #prime1(x1,x2)		w: (x2)
  prime1(x1,x2)		w: (0)
  rem(x1,x2)		w: (0)
  #divp(x1,x2)		w: (0)
  divp(x1,x2)		w: (0)
  not(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0