WORST_CASE(?, O(n^2))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: ?, Cost: 1)    eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_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_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: ?, Cost: 1)    eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_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_while2_start) = 1
	Pol(eval_while2_bb0_in) = 1
	Pol(eval_while2_0) = 1
	Pol(eval_while2_1) = 1
	Pol(eval_while2_2) = 1
	Pol(eval_while2_3) = 1
	Pol(eval_while2_4) = 1
	Pol(eval_while2_bb1_in) = 1
	Pol(eval_while2_bb2_in) = 1
	Pol(eval_while2_bb5_in) = 0
	Pol(eval_while2_bb3_in) = 1
	Pol(eval_while2_bb4_in) = 1
	Pol(eval_while2_8) = 1
	Pol(eval_while2_9) = 1
	Pol(eval_while2_stop) = -1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: 1, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: ?, Cost: 1)    eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)    eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: 1, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)    eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: ?, Cost: 1)    eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: 1, Cost: 1)    eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_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_while2_start) = 5*V_2
	Pol(eval_while2_bb0_in) = 5*V_2
	Pol(eval_while2_0) = 5*V_2
	Pol(eval_while2_1) = 5*V_2
	Pol(eval_while2_2) = 5*V_2
	Pol(eval_while2_3) = 5*V_2
	Pol(eval_while2_4) = 5*V_2
	Pol(eval_while2_bb1_in) = 5*V_3 - 2
	Pol(eval_while2_bb2_in) = 5*V_3 - 3
	Pol(eval_while2_bb5_in) = 5*V_3 - 2
	Pol(eval_while2_bb3_in) = 5*V_3 - 3
	Pol(eval_while2_bb4_in) = 5*V_3 - 4
	Pol(eval_while2_8) = 5*V_1
	Pol(eval_while2_9) = 5*V_1 - 1
	Pol(eval_while2_stop) = 5*V_3 - 2
	Pol(koat_start) = 5*V_2
orients all transitions weakly and the transition
	eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)         eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: 5*Ar_1, Cost: 1)    eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: 1, Cost: 1)         eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: ?, Cost: 1)         eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: ?, Cost: 1)         eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)         eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: ?, Cost: 1)         eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)         eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)         eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: 1, Cost: 1)         eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_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_while2_bb4_in) = 3
	Pol(eval_while2_8) = 2
	Pol(eval_while2_bb3_in) = 4
	Pol(eval_while2_bb2_in) = 4
	Pol(eval_while2_9) = 1
	Pol(eval_while2_bb1_in) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_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_while2_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_while2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ?
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-0) = ?
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-1) = Ar_1
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-2) = ?
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-3) = ?
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ?
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = ?
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-0) = ?
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-1) = Ar_1
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-2) = ?
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-3) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-0) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-1) = Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-2) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-3) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-0) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-1) = Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-2) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-3) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-0) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-1) = Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-2) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-3) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-0) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-1) = Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-2) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-3) = Ar_1
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-0) = Ar_0
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-1) = Ar_1
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-2) = Ar_1
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-3) = Ar_3
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
	eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
	eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
	eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
	eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
	eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
weakly and the transitions
	eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
	eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
	eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
	eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)          eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)          eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: 5*Ar_1, Cost: 1)     eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: 1, Cost: 1)          eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: ?, Cost: 1)          eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: 20*Ar_1, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)          eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: 20*Ar_1, Cost: 1)    eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 20*Ar_1, Cost: 1)    eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 20*Ar_1, Cost: 1)    eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: 1, Cost: 1)          eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_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_while2_bb3_in) = 2*V_4 - 1
	Pol(eval_while2_bb2_in) = 2*V_4
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_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_while2_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_while2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 21*Ar_0 + 21*Ar_1
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = 21*Ar_1
	S("eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ?
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-0) = 21*Ar_1
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-1) = Ar_1
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-2) = 21*Ar_1
	S("eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))", 0-3) = ?
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 21*Ar_1
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = 21*Ar_1
	S("eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = ?
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = 21*Ar_1
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = 21*Ar_1
	S("eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = ?
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-0) = 21*Ar_0 + 21*Ar_1
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-1) = Ar_1
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-2) = 21*Ar_1
	S("eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))", 0-3) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-0) = 21*Ar_0 + 21*Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-1) = Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-2) = 21*Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]", 0-3) = ?
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-0) = 21*Ar_0 + 21*Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-1) = Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-2) = 21*Ar_1
	S("eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]", 0-3) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-0) = 21*Ar_0 + 21*Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-1) = Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-2) = 21*Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]", 0-3) = ?
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-0) = 21*Ar_0 + 21*Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-1) = Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-2) = 21*Ar_1
	S("eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]", 0-3) = Ar_1
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-0) = Ar_0
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-1) = Ar_1
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-2) = Ar_1
	S("eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))", 0-3) = Ar_3
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
	eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
weakly and the transition
	eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)            eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: 5*Ar_1, Cost: 1)       eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: 1, Cost: 1)            eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: 10*Ar_1^2, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: ?, Cost: 1)            eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 7 produces the following problem:
8:	T:
		(Comp: 1, Cost: 1)            eval_while2_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_1, Ar_3))
		(Comp: 5*Ar_1, Cost: 1)       eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_1)) [ Ar_2 > 0 ]
		(Comp: 1, Cost: 1)            eval_while2_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= 0 ]
		(Comp: 10*Ar_1^2, Cost: 1)    eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > 0 ]
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 <= 0 ]
		(Comp: 10*Ar_1^2, Cost: 1)    eval_while2_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3 - 1))
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_8(Ar_2 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 20*Ar_1, Cost: 1)      eval_while2_9(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_bb1_in(Ar_0, Ar_1, Ar_0, Ar_3))
		(Comp: 1, Cost: 1)            eval_while2_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_while2_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_while2_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 85*Ar_1 + 20*Ar_1^2 + 9

Time: 1.272 sec (SMT: 1.217 sec)