WORST_CASE(?, O(n^1))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_2 + 1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_3 + 1, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 + 1, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ Ar_0 >= 1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_0 >= 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start(Ar_0, Ar_1, Ar_2, Ar_1, Ar_5, Ar_5, Ar_2, Ar_8, Ar_8, Ar_0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 1:
	lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_0 >= 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
	lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
We thus obtain the following problem:
2:	T:
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ Ar_0 >= 1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 + 1, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_3 + 1, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_2 + 1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: ?, Cost: 1)    start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start(Ar_0, Ar_1, Ar_2, Ar_1, Ar_5, Ar_5, Ar_2, Ar_8, Ar_8, Ar_0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ Ar_0 >= 1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 + 1, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_3 + 1, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_2 + 1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start(Ar_0, Ar_1, Ar_2, Ar_1, Ar_5, Ar_5, Ar_2, Ar_8, Ar_8, Ar_0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(lbl81) = 1
	Pol(stop) = 0
	Pol(lbl71) = 1
	Pol(start) = 1
	Pol(start0) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transitions
	lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
	lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ Ar_0 >= 1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
strictly and produces the following problem:
4:	T:
		(Comp: ?, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: 1, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: ?, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: 1, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ Ar_0 >= 1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 + 1, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_3 + 1, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_2 + 1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)    start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start(Ar_0, Ar_1, Ar_2, Ar_1, Ar_5, Ar_5, Ar_2, Ar_8, Ar_8, Ar_0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(lbl81) = V_3 - V_4 - V_5
	Pol(stop) = V_3 - V_4
	Pol(lbl71) = V_3 - V_4 + V_5
	Pol(start) = V_3 - V_4
	Pol(start0) = -V_2 + V_3
	Pol(koat_start) = -V_2 + V_3
orients all transitions weakly and the transitions
	lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
	lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
strictly and produces the following problem:
5:	T:
		(Comp: Ar_1 + Ar_2, Cost: 1)    lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 - Ar_4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_3 /\ 0 >= Ar_0 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: 1, Cost: 1)              lbl81(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 >= Ar_0 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 + 1 = 0 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: Ar_1 + Ar_2, Cost: 1)    lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_4 + Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_3 /\ Ar_3 >= Ar_1 + 1 /\ Ar_2 + 1 >= Ar_3 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: 1, Cost: 1)              lbl71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ Ar_0 >= 1 /\ Ar_3 = Ar_2 + 1 /\ Ar_4 = 1 /\ Ar_9 = Ar_0 /\ Ar_7 = Ar_8 /\ Ar_6 = Ar_2 ]
		(Comp: 1, Cost: 1)              start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl81(Ar_0, Ar_1, Ar_2, Ar_3 + 1, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_2 >= Ar_1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)              start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, -1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_1 >= Ar_2 + 1 /\ 0 >= Ar_0 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)              start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(lbl71(Ar_0, Ar_1, Ar_2, Ar_3 + 1, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_2 >= Ar_1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)              start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(stop(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_2 + 1 /\ Ar_3 = Ar_1 /\ Ar_4 = Ar_5 /\ Ar_6 = Ar_2 /\ Ar_7 = Ar_8 /\ Ar_9 = Ar_0 ]
		(Comp: 1, Cost: 1)              start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start(Ar_0, Ar_1, Ar_2, Ar_1, Ar_5, Ar_5, Ar_2, Ar_8, Ar_8, Ar_0))
		(Comp: 1, Cost: 0)              koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9) -> Com_1(start0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 2*Ar_1 + 2*Ar_2 + 7

Time: 3.056 sec (SMT: 2.946 sec)