/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(),xs) -> f(eq(s(length(xs)),length(cons(a(),xs))),cons(a(),xs))
    2: length(nil()) -> 0()
    3: length(cons(x,xs)) -> s(length(xs))
    4: eq(0(),0()) -> true()
    5: eq(s(x),0()) -> false()
    6: eq(0(),s(y)) -> false()
    7: eq(s(x),s(y)) -> eq(x,y)
Number of strict rules: 7
Direct poly ... failed.
Freezing length eq
1: f(true(),xs) -> f(eq❆1_s(length(xs),length❆1_cons(a(),xs)),cons(a(),xs))
2: length❆1_nil() -> 0()
3: length❆1_cons(x,xs) -> s(length(xs))
4: eq❆1_0(0()) -> true()
5: eq❆1_s(x,0()) -> false()
6: eq❆1_0(s(y)) -> false()
7: eq❆1_s(x,s(y)) -> eq(x,y)
8: eq(0(),_1) ->= eq❆1_0(_1)
9: eq(s(_1),_2) ->= eq❆1_s(_1,_2)
10: length(cons(_1,_2)) ->= length❆1_cons(_1,_2)
11: length(nil()) ->= length❆1_nil()
Number of strict rules: 7
Direct poly ... failed.
Dependency Pairs:
   #1: #eq(s(_1),_2) ->? #eq❆1_s(_1,_2)
   #2: #length(nil()) ->? #length❆1_nil()
   #3: #eq❆1_s(x,s(y)) -> #eq(x,y)
   #4: #length(cons(_1,_2)) ->? #length❆1_cons(_1,_2)
   #5: #length❆1_cons(x,xs) -> #length(xs)
   #6: #f(true(),xs) -> #f(eq❆1_s(length(xs),length❆1_cons(a(),xs)),cons(a(),xs))
   #7: #f(true(),xs) -> #eq❆1_s(length(xs),length❆1_cons(a(),xs))
   #8: #f(true(),xs) -> #length(xs)
   #9: #f(true(),xs) -> #length❆1_cons(a(),xs)
   #10: #eq(0(),_1) ->? #eq❆1_0(_1)
Number of SCCs: 3, DPs: 5
	SCC { #4 #5 }
Sum... succeeded.
  a()		w: (0)
  s(x1)		w: (0)
  length❆1_nil()		w: (0)
  eq(x1,x2)		w: (0)
  #length❆1_nil()		w: (0)
  false()		w: (0)
  true()		w: (0)
  #eq❆1_0(x1)		w: (0)
  f(x1,x2)		w: (0)
  #eq(x1,x2)		w: (0)
  eq❆1_s(x1,x2)		w: (0)
  0()		w: (0)
  nil()		w: (0)
  #eq❆1_s(x1,x2)		w: (0)
  eq❆1_0(x1)		w: (0)
  #f(x1,x2)		w: (0)
  cons(x1,x2)		w: (2 + x2)
  length❆1_cons(x1,x2)		w: (0)
  length(x1)		w: (0)
  #length(x1)		w: (x1)
  #length❆1_cons(x1,x2)		w: (1 + x2)
    USABLE RULES: { }
    Removed DPs: #4 #5
Number of SCCs: 2, DPs: 3
	SCC { #6 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.