Input TRS:
    1: minus(|0|()) -> |0|()
    2: +(x,|0|()) -> x
    3: +(|0|(),y) -> y
    4: +(minus(|1|()),|1|()) -> |0|()
    5: minus(minus(x)) -> x
    6: +(x,minus(y)) -> minus(+(minus(x),y))
    7: +(x,+(y,z)) -> +(+(x,y),z)
    8: +(minus(+(x,|1|())),|1|()) -> minus(x)
Number of strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 4 8 1 3 5 7 2
   |0|()	weight: 0
 minus(x1)	weight: 2438 + x1
   |1|()	weight: 0
     +(x1,x2)	weight: 30094 + x1 + 2 * x2
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #+(x,minus(y)) -> #+(minus(x),y)
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
 minus(x1)	weight: (/ 1 2) + x1
   |1|()	weight: 0
     +(x1,x2)	weight: 0
   #+(x1,x2)	weight: x2
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES