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


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MAYBE
Input TRS:
    1: f(true(),true(),x,s(y)) -> f(isNat(x),isNat(y),s(x),double(s(y)))
    2: isNat(0()) -> true()
    3: isNat(s(x)) -> isNat(x)
    4: double(0()) -> 0()
    5: double(s(x)) -> s(s(double(x)))
Number of strict rules: 5
Direct poly ... failed.
Freezing double
1: f(true(),true(),x,s(y)) -> f(isNat(x),isNat(y),s(x),double❆1_s(y))
2: isNat(0()) -> true()
3: isNat(s(x)) -> isNat(x)
4: double❆1_0() -> 0()
5: double❆1_s(x) -> s(s(double(x)))
6: double(0()) ->= double❆1_0()
7: double(s(_1)) ->= double❆1_s(_1)
Number of strict rules: 5
Direct poly ... failed.
Dependency Pairs:
   #1: #double(0()) ->? #double❆1_0()
   #2: #double(s(_1)) ->? #double❆1_s(_1)
   #3: #double❆1_s(x) -> #double(x)
   #4: #isNat(s(x)) -> #isNat(x)
   #5: #f(true(),true(),x,s(y)) -> #f(isNat(x),isNat(y),s(x),double❆1_s(y))
   #6: #f(true(),true(),x,s(y)) -> #isNat(x)
   #7: #f(true(),true(),x,s(y)) -> #isNat(y)
   #8: #f(true(),true(),x,s(y)) -> #double❆1_s(y)
Number of SCCs: 3, DPs: 4
	SCC { #4 }
Sum... succeeded.
  #double❆1_0()		w: (0)
  s(x1)		w: (1 + x1)
  #isNat(x1)		w: (x1)
  #double❆1_s(x1)		w: (0)
  true()		w: (0)
  f(x1,x2,x3,x4)		w: (0)
  0()		w: (0)
  #double(x1)		w: (0)
  double(x1)		w: (0)
  #f(x1,x2,x3,x4)		w: (0)
  double❆1_0()		w: (0)
  isNat(x1)		w: (0)
  double❆1_s(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 2, DPs: 3
	SCC { #2 #3 }
Sum... succeeded.
  #double❆1_0()		w: (0)
  s(x1)		w: (2 + x1)
  #isNat(x1)		w: (0)
  #double❆1_s(x1)		w: (1 + x1)
  true()		w: (0)
  f(x1,x2,x3,x4)		w: (0)
  0()		w: (0)
  #double(x1)		w: (x1)
  double(x1)		w: (0)
  #f(x1,x2,x3,x4)		w: (0)
  double❆1_0()		w: (0)
  isNat(x1)		w: (0)
  double❆1_s(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2 #3
Number of SCCs: 1, DPs: 1
	SCC { #5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.