/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(s(x)) -> s(f(f(p(s(x)))))
    2: f(0()) -> 0()
    3: p(s(x)) -> x
Number of strict rules: 3
Direct poly ... failed.
Freezing p
1: f(s(x)) -> s(f(f(p❆1_s(x))))
2: f(0()) -> 0()
3: p❆1_s(x) -> x
4: p(s(_1)) ->= p❆1_s(_1)
Number of strict rules: 3
Direct poly ... removes: 4
  s(x1)		w: (1 + x1)
  p❆1_s(x1)		w: (x1)
  f(x1)		w: (x1)
  p(x1)		w: (x1)
  0()		w: (2438)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #f(s(x)) -> #f(f(p❆1_s(x)))
   #2: #f(s(x)) -> #f(p❆1_s(x))
   #3: #f(s(x)) -> #p❆1_s(x)
Number of SCCs: 1, DPs: 2
	SCC { #1 #2 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  p❆1_s(x1)		w: (x1)
  #p❆1_s(x1)		w: (0)
  f(x1)		w: (x1)
  p(x1)		w: (0)
  0()		w: (39)
  #f(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0