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