Input TRS:
    1: app(app(mapbt(),f),app(leaf(),x)) -> app(leaf(),app(f,x))
    2: app(app(mapbt(),f),app(app(app(branch(),x),l),r)) -> app(app(app(branch(),app(f,x)),app(app(mapbt(),f),l)),app(app(mapbt(),f),r))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing app
1: app❆2_mapbt(f,app❆1_leaf(x)) -> app❆1_leaf(app(f,x))
2: app❆2_mapbt(f,app❆3_branch(x,l,r)) -> app❆3_branch(app(f,x),app❆2_mapbt(f,l),app❆2_mapbt(f,r))
3: app(branch(),_1) ->= app❆1_branch(_1)
4: app(app❆1_branch(_1),_2) ->= app❆2_branch(_1,_2)
5: app(app❆2_branch(_1,_2),_3) ->= app❆3_branch(_1,_2,_3)
6: app(mapbt(),_1) ->= app❆1_mapbt(_1)
7: app(app❆1_mapbt(_1),_2) ->= app❆2_mapbt(_1,_2)
8: app(leaf(),_1) ->= app❆1_leaf(_1)
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #app❆2_mapbt(f,app❆3_branch(x,l,r)) -> #app(f,x)
   #2: #app❆2_mapbt(f,app❆3_branch(x,l,r)) -> #app❆2_mapbt(f,l)
   #3: #app❆2_mapbt(f,app❆3_branch(x,l,r)) -> #app❆2_mapbt(f,r)
   #4: #app(app❆1_mapbt(_1),_2) ->? #app❆2_mapbt(_1,_2)
   #5: #app❆2_mapbt(f,app❆1_leaf(x)) -> #app(f,x)
Number of SCCs: 1, DPs: 5, edges: 14
	SCC { #1..5 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
app❆1_mapbt(x1)	weight: (/ 1 4)
 mapbt()	weight: 0
app❆2_branch(x1,x2)	weight: 0
app❆2_mapbt(x1,x2)	weight: 0
app❆3_branch(x1,x2,x3)	weight: (/ 1 2) + x1 + x2 + x3
 #app(x1,x2)	weight: (/ 1 4) + x2
branch()	weight: 0
#app❆2_mapbt(x1,x2)	weight: x2
  leaf()	weight: 0
app❆1_branch(x1)	weight: 0
   app(x1,x2)	weight: 0
app❆1_leaf(x1)	weight: (/ 1 2) + x1
    Usable rules: { }
    Removed DPs: #1..5
Number of SCCs: 0, DPs: 0, edges: 0
YES