
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_sipmabubble_start) = 2
	Pol(eval_sipmabubble_bb0_in) = 2
	Pol(eval_sipmabubble_0) = 2
	Pol(eval_sipmabubble_1) = 2
	Pol(eval_sipmabubble_2) = 2
	Pol(eval_sipmabubble_3) = 2
	Pol(eval_sipmabubble_4) = 2
	Pol(eval_sipmabubble_5) = 2
	Pol(eval_sipmabubble_6) = 2
	Pol(eval_sipmabubble_bb1_in) = 2
	Pol(eval_sipmabubble_bb2_in) = 2
	Pol(eval_sipmabubble_bb7_in) = 1
	Pol(eval_sipmabubble_bb3_in) = 2
	Pol(eval_sipmabubble_bb6_in) = 2
	Pol(eval_sipmabubble_bb4_in) = 2
	Pol(eval_sipmabubble_bb5_in) = 2
	Pol(eval_sipmabubble_29) = 2
	Pol(eval_sipmabubble_30) = 2
	Pol(eval_sipmabubble_stop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
	eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_sipmabubble_start) = V_4 + 2
	Pol(eval_sipmabubble_bb0_in) = V_4 + 2
	Pol(eval_sipmabubble_0) = V_4 + 2
	Pol(eval_sipmabubble_1) = V_4 + 2
	Pol(eval_sipmabubble_2) = V_4 + 2
	Pol(eval_sipmabubble_3) = V_4 + 2
	Pol(eval_sipmabubble_4) = V_4 + 2
	Pol(eval_sipmabubble_5) = V_4 + 2
	Pol(eval_sipmabubble_6) = V_4 + 2
	Pol(eval_sipmabubble_bb1_in) = V_2 + 1
	Pol(eval_sipmabubble_bb2_in) = V_2
	Pol(eval_sipmabubble_bb7_in) = V_2 + 1
	Pol(eval_sipmabubble_bb3_in) = V_2
	Pol(eval_sipmabubble_bb6_in) = V_2
	Pol(eval_sipmabubble_bb4_in) = V_2
	Pol(eval_sipmabubble_bb5_in) = V_2
	Pol(eval_sipmabubble_29) = V_1 + 1
	Pol(eval_sipmabubble_30) = V_1 + 1
	Pol(eval_sipmabubble_stop) = V_2 + 1
	Pol(koat_start) = V_4 + 2
orients all transitions weakly and the transition
	eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)           eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))
		(Comp: Ar_3 + 2, Cost: 1)    eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)           eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)           eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
		(Comp: ?, Cost: 1)           eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
		(Comp: ?, Cost: 1)           eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
		(Comp: ?, Cost: 1)           eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
		(Comp: ?, Cost: 1)           eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)           eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)           eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)           eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)           eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)           eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_sipmabubble_bb6_in) = 3
	Pol(eval_sipmabubble_29) = 2
	Pol(eval_sipmabubble_bb5_in) = 4
	Pol(eval_sipmabubble_bb2_in) = 4
	Pol(eval_sipmabubble_bb4_in) = 4
	Pol(eval_sipmabubble_bb3_in) = 4
	Pol(eval_sipmabubble_30) = 1
	Pol(eval_sipmabubble_bb1_in) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-0) = ?
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-1) = ?
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-0) = ?
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-1) = ?
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-0) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-1) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-2) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-0) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-1) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-2) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-0) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-1) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-2) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-0) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-1) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-2) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-0) = ?
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-1) = ?
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-2) = ?
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-0) = ?
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-1) = ?
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-2) = 0
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-3) = Ar_3
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-1) = Ar_3
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
	eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
	eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
	eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
	eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
	eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
	eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
	eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
	eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
weakly and the transitions
	eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
	eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
	eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
	eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)             eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)             eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))
		(Comp: Ar_3 + 2, Cost: 1)      eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)             eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)             eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
		(Comp: 4*Ar_3 + 8, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
		(Comp: ?, Cost: 1)             eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
		(Comp: ?, Cost: 1)             eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
		(Comp: ?, Cost: 1)             eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)             eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)    eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)    eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)    eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)             eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_sipmabubble_bb5_in) = V_2 - V_3
	Pol(eval_sipmabubble_bb2_in) = V_2 - V_3 + 1
	Pol(eval_sipmabubble_bb4_in) = V_2 - V_3
	Pol(eval_sipmabubble_bb3_in) = V_2 - V_3
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 5*Ar_0 + 5*Ar_3 + 25000
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 5*Ar_3 + 5000
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-0) = 5*Ar_3 + 1000
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 5*Ar_3 + 200
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 5*Ar_3 + 5000
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = 5*Ar_3 + 1000
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-0) = 5*Ar_0 + 5*Ar_3 + 25000
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 5*Ar_0 + 5*Ar_3 + 25000
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-0) = 5*Ar_0 + 5*Ar_3 + 25000
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-2) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-0) = 5*Ar_0 + 5*Ar_3 + 25000
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-2) = ?
	S("eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-0) = 5*Ar_0 + 5*Ar_3 + 125000
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-2) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-0) = 5*Ar_0 + 5*Ar_3 + 25000
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-2) = ?
	S("eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-0) = 5*Ar_0 + 5*Ar_3 + 5000
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-1) = 5*Ar_3 + 1000
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-2) = ?
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]", 0-3) = Ar_3
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-0) = 5*Ar_0 + 5*Ar_3 + 5000
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-1) = 5*Ar_3 + 200
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-2) = 0
	S("eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]", 0-3) = Ar_3
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-1) = Ar_3
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
	eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
	eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
	eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
	eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
weakly and the transition
	eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)                            eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                            eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))
		(Comp: Ar_3 + 2, Cost: 1)                     eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)                            eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: 5*Ar_3^2 + 211*Ar_3 + 402, Cost: 1)    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
		(Comp: 4*Ar_3 + 8, Cost: 1)                   eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
		(Comp: ?, Cost: 1)                            eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
		(Comp: ?, Cost: 1)                            eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
		(Comp: ?, Cost: 1)                            eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)                            eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)                   eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)                   eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)                   eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)                            eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)                            koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 6 produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)                             eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                             eval_sipmabubble_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_3, Ar_2, Ar_3))
		(Comp: Ar_3 + 2, Cost: 1)                      eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)                             eval_sipmabubble_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 < 0 ]
		(Comp: 5*Ar_3^2 + 211*Ar_3 + 402, Cost: 1)     eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 - 1 ]
		(Comp: 4*Ar_3 + 8, Cost: 1)                    eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 - 1 ]
		(Comp: 5*Ar_3^2 + 211*Ar_3 + 402, Cost: 1)     eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 > nondef_1 ]
		(Comp: 5*Ar_3^2 + 211*Ar_3 + 402, Cost: 1)     eval_sipmabubble_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ nondef_0 <= nondef_1 ]
		(Comp: 5*Ar_3^2 + 211*Ar_3 + 402, Cost: 1)     eval_sipmabubble_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 10*Ar_3^2 + 422*Ar_3 + 804, Cost: 1)    eval_sipmabubble_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)                    eval_sipmabubble_bb6_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_29(Ar_1 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)                    eval_sipmabubble_29(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 4*Ar_3 + 8, Cost: 1)                    eval_sipmabubble_30(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)                             eval_sipmabubble_bb7_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_stop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)                             koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_sipmabubble_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 1283*Ar_3 + 30*Ar_3^2 + 2459

Time: 0.084 sec (SMT: 0.056 sec)
