/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: ap(f(),x) -> x
    2: ap(ap(ap(g(),x),y),ap(s(),z)) -> ap(ap(ap(g(),x),y),ap(ap(x,y),0()))
Number of strict rules: 2
Direct poly ... failed.
Freezing ap
1: ap❆1_f(x) -> x
2: ap❆3_g(x,y,ap❆1_s(z)) -> ap❆3_g(x,y,ap(ap(x,y),0()))
3: ap(s(),_1) ->= ap❆1_s(_1)
4: ap(g(),_1) ->= ap❆1_g(_1)
5: ap(ap❆1_g(_1),_2) ->= ap❆2_g(_1,_2)
6: ap(ap❆2_g(_1,_2),_3) ->= ap❆3_g(_1,_2,_3)
7: ap(f(),_1) ->= ap❆1_f(_1)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #ap❆3_g(x,y,ap❆1_s(z)) -> #ap❆3_g(x,y,ap(ap(x,y),0()))
   #2: #ap❆3_g(x,y,ap❆1_s(z)) -> #ap(ap(x,y),0())
   #3: #ap❆3_g(x,y,ap❆1_s(z)) -> #ap(x,y)
   #4: #ap(ap❆2_g(_1,_2),_3) ->? #ap❆3_g(_1,_2,_3)
   #5: #ap(f(),_1) ->? #ap❆1_f(_1)
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... succeeded.
  s()		w: (1)
  ap❆1_s(x1)		w: (1)
  ap(x1,x2)		w: (42 + x2 + x1)
  #ap❆1_f(x1)		w: (0)
  ap❆1_g(x1)		w: (3 + x1)
  ap❆2_g(x1,x2)		w: (45 + x2 + x1)
  f()		w: (1)
  #ap❆3_g(x1,x2,x3)		w: (44 + x2 + x1)
  0()		w: (1)
  ap❆1_f(x1)		w: (x1)
  #ap(x1,x2)		w: (x2 + x1)
  ap❆3_g(x1,x2,x3)		w: (x2 + x1)
  g()		w: (1)
    USABLE RULES: { 1..7 }
    Removed DPs: #2..4
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.