/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: fib(0()) -> 0()
    2: fib(s(0())) -> s(0())
    3: fib(s(s(0()))) -> s(0())
    4: fib(s(s(x))) -> sp(g(x))
    5: g(0()) -> pair(s(0()),0())
    6: g(s(0())) -> pair(s(0()),s(0()))
    7: g(s(x)) -> np(g(x))
    8: sp(pair(x,y)) -> +(x,y)
    9: np(pair(x,y)) -> pair(+(x,y),x)
    10: +(x,0()) -> x
    11: +(x,s(y)) -> s(+(x,y))
Number of strict rules: 11
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #np(pair(x,y)) -> #+(x,y)
   #2: #+(x,s(y)) -> #+(x,y)
   #3: #g(s(x)) -> #np(g(x))
   #4: #g(s(x)) -> #g(x)
   #5: #sp(pair(x,y)) -> #+(x,y)
   #6: #fib(s(s(x))) -> #sp(g(x))
   #7: #fib(s(s(x))) -> #g(x)
Number of SCCs: 2, DPs: 2
	SCC { #4 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  pair(x1,x2)		w: (0)
  sp(x1)		w: (0)
  fib(x1)		w: (0)
  0()		w: (0)
  #g(x1)		w: (x1)
  np(x1)		w: (0)
  #sp(x1)		w: (0)
  +(x1,x2)		w: (0)
  #fib(x1)		w: (0)
  #np(x1)		w: (0)
  g(x1)		w: (0)
  #+(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  pair(x1,x2)		w: (0)
  sp(x1)		w: (0)
  fib(x1)		w: (0)
  0()		w: (0)
  #g(x1)		w: (0)
  np(x1)		w: (0)
  #sp(x1)		w: (0)
  +(x1,x2)		w: (0)
  #fib(x1)		w: (0)
  #np(x1)		w: (0)
  g(x1)		w: (0)
  #+(x1,x2)		w: (x2)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0