/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE
Input TRS:
    1: f(true(),s(x)) -> f(eq(0(),minus(x,x)),double(s(x)))
    2: double(0()) -> 0()
    3: double(s(x)) -> s(s(double(x)))
    4: minus(x,0()) -> x
    5: minus(0(),y) -> 0()
    6: minus(s(x),s(y)) -> minus(x,y)
    7: eq(0(),0()) -> true()
    8: eq(s(x),0()) -> false()
    9: eq(0(),s(y)) -> false()
    10: eq(s(x),s(y)) -> eq(x,y)
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying double eq
1: f(true(),s(x)) -> f(eq^1_0(minus(x,x)),double^1_s(x))
2: double^1_0() -> 0()
3: double^1_s(x) -> s(s(double(x)))
4: minus(x,0()) -> x
5: minus(0(),y) -> 0()
6: minus(s(x),s(y)) -> minus(x,y)
7: eq^1_0(0()) -> true()
8: eq^1_s(x,0()) -> false()
9: eq^1_0(s(y)) -> false()
10: eq^1_s(x,s(y)) -> eq(x,y)
11: eq(0(),_1) ->= eq^1_0(_1)
12: eq(s(_1),_2) ->= eq^1_s(_1,_2)
13: double(0()) ->= double^1_0()
14: double(s(_1)) ->= double^1_s(_1)
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #double(0()) ->? #double^1_0()
   #3: #eq(0(),_1) ->? #eq^1_0(_1)
   #4: #eq(s(_1),_2) ->? #eq^1_s(_1,_2)
   #5: #double(s(_1)) ->? #double^1_s(_1)
   #6: #eq^1_s(x,s(y)) -> #eq(x,y)
   #7: #double^1_s(x) -> #double(x)
   #8: #f(true(),s(x)) -> #f(eq^1_0(minus(x,x)),double^1_s(x))
   #9: #f(true(),s(x)) -> #eq^1_0(minus(x,x))
   #10: #f(true(),s(x)) -> #minus(x,x)
   #11: #f(true(),s(x)) -> #double^1_s(x)
Number of SCCs: 4, DPs: 6
  SCC { #1 }
POLO(Sum)... succeeded.
      #eq^1_s	w: 0
      double^1_s	w: 0
      s 	w: x1 + 1
      eq^1_s	w: 0
      double^1_0	w: 0
      #eq^1_0	w: 0
      minus	w: 0
      eq	w: 0
      false	w: 0
      true	w: 0
      f 	w: 0
      #eq	w: 0
      #double^1_0	w: 0
      0 	w: 0
      eq^1_0	w: 0
      #double	w: 0
      double	w: 0
      #f 	w: 0
      #minus	w: x1 + x2
      #double^1_s	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 3, DPs: 5
  SCC { #5 #7 }
POLO(Sum)... succeeded.
      #eq^1_s	w: 0
      double^1_s	w: 0
      s 	w: x1 + 2
      eq^1_s	w: 0
      double^1_0	w: 0
      #eq^1_0	w: 0
      minus	w: 0
      eq	w: 0
      false	w: 0
      true	w: 0
      f 	w: 0
      #eq	w: 0
      #double^1_0	w: 0
      0 	w: 0
      eq^1_0	w: 0
      #double	w: x1
      double	w: 0
      #f 	w: 0
      #minus	w: 0
      #double^1_s	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #5 #7
Number of SCCs: 2, DPs: 3
  SCC { #8 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.