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


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YES
Input TRS:
    1: app(app(mapt(),f),app(leaf(),x)) -> app(leaf(),app(f,x))
    2: app(app(mapt(),f),app(node(),xs)) -> app(node(),app(app(maptlist(),f),xs))
    3: app(app(maptlist(),f),nil()) -> nil()
    4: app(app(maptlist(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(app(mapt(),f),x)),app(app(maptlist(),f),xs))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying app
1: app^2_mapt(f,app^1_leaf(x)) -> app^1_leaf(app(f,x))
2: app^2_mapt(f,app^1_node(xs)) -> app^1_node(app^2_maptlist(f,xs))
3: app^2_maptlist(f,nil()) -> nil()
4: app^2_maptlist(f,app^2_cons(x,xs)) -> app^2_cons(app^2_mapt(f,x),app^2_maptlist(f,xs))
5: app(cons(),_1) ->= app^1_cons(_1)
6: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2)
7: app(maptlist(),_1) ->= app^1_maptlist(_1)
8: app(app^1_maptlist(_1),_2) ->= app^2_maptlist(_1,_2)
9: app(leaf(),_1) ->= app^1_leaf(_1)
10: app(mapt(),_1) ->= app^1_mapt(_1)
11: app(app^1_mapt(_1),_2) ->= app^2_mapt(_1,_2)
12: app(node(),_1) ->= app^1_node(_1)
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #app^2_mapt(f,app^1_node(xs)) -> #app^2_maptlist(f,xs)
   #2: #app(app^1_mapt(_1),_2) ->? #app^2_mapt(_1,_2)
   #3: #app^2_mapt(f,app^1_leaf(x)) -> #app(f,x)
   #4: #app(app^1_maptlist(_1),_2) ->? #app^2_maptlist(_1,_2)
   #5: #app^2_maptlist(f,app^2_cons(x,xs)) -> #app^2_mapt(f,x)
   #6: #app^2_maptlist(f,app^2_cons(x,xs)) -> #app^2_maptlist(f,xs)
Number of SCCs: 1, DPs: 6
  SCC { #1..6 }
POLO(Sum)... succeeded.
      app^1_cons	w: 0
      mapt	w: 0
      maptlist	w: 0
      #app^2_maptlist	w: x1 + x2
      nil	w: 0
      #app	w: x1 + x2
      app^1_mapt	w: x1 + 1
      #app^2_mapt	w: x1 + x2
      app^2_maptlist	w: 0
      cons	w: 0
      app^1_maptlist	w: x1 + 1
      leaf	w: 0
      app^2_mapt	w: 0
      app^2_cons	w: x1 + x2 + 1
      node	w: 0
      app^1_leaf	w: x1 + 1
      app	w: 0
      app^1_node	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #1..6
Number of SCCs: 0, DPs: 0