/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(x1)) -> s(s(f(p(s(x1)))))
    2: f(0(x1)) -> 0(x1)
    3: p(s(x1)) -> x1
Number of strict rules: 3
Direct poly ... removes: 2
  s(x1)		w: (x1)
  f(x1)		w: (2438 + x1)
  p(x1)		w: (x1)
  0(x1)		w: (1 + x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing p
1: f(s(x1)) -> s(s(f(p❆1_s(x1))))
3: p❆1_s(x1) -> x1
4: p(s(_1)) ->= p❆1_s(_1)
Number of strict rules: 2
Direct poly ... removes: 4
  s(x1)		w: (x1)
  p❆1_s(x1)		w: (x1)
  f(x1)		w: (10451 + x1)
  p(x1)		w: (1 + x1)
  0(x1)		w: (x1)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #f(s(x1)) -> #f(p❆1_s(x1))
   #2: #f(s(x1)) -> #p❆1_s(x1)
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  p❆1_s(x1)		w: (x1)
  #p❆1_s(x1)		w: (0)
  f(x1)		w: (0)
  p(x1)		w: (0)
  0(x1)		w: (0)
  #f(x1)		w: (x1)
    USABLE RULES: { 3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0