WORST_CASE(?, O(n^2))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 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_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)    eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_loops_start) = 2
	Pol(eval_loops_bb0_in) = 2
	Pol(eval_loops_0) = 2
	Pol(eval_loops_1) = 2
	Pol(eval_loops_2) = 2
	Pol(eval_loops_bb1_in) = 2
	Pol(eval_loops_bb6_in) = 1
	Pol(eval_loops_bb2_in) = 2
	Pol(eval_loops_bb3_in) = 2
	Pol(eval_loops_bb5_in) = 2
	Pol(eval_loops_bb4_in) = 2
	Pol(eval_loops_stop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
	eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)    eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]
		(Comp: ?, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
		(Comp: ?, Cost: 1)    eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
		(Comp: 2, Cost: 1)    eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_loops_bb5_in) = 4*V_2
	Pol(eval_loops_bb1_in) = 4*V_2 + 3
	Pol(eval_loops_bb4_in) = 4*V_2 + 1
	Pol(eval_loops_bb3_in) = 4*V_2 + 1
	Pol(eval_loops_bb2_in) = 4*V_2 + 2
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-1) = ?
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-2) = ?
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))", 0-1) = ?
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))", 0-2) = ?
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))", 0-1) = ?
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))", 0-2) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-1) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-2) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]", 0-1) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]", 0-2) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]", 0-1) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]", 0-2) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]", 0-1) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]", 0-2) = 1
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]", 0-0) = Ar_0
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]", 0-1) = ?
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]", 0-2) = ?
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]", 0-1) = ?
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]", 0-2) = ?
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-0) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-1) = Ar_1
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-2) = Ar_2
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-1) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-2) = Ar_2
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
	eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
	eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
	eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
	eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]
	eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
	eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
weakly and the transitions
	eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
	eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)             eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)             eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)             eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
		(Comp: ?, Cost: 1)             eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)             eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)             eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)             eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
		(Comp: ?, Cost: 1)             eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
		(Comp: 2, Cost: 1)             eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 4 produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)             eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)             eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)    eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)             eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)    eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)             eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: ?, Cost: 1)             eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)             eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
		(Comp: ?, Cost: 1)             eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
		(Comp: 2, Cost: 1)             eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_loops_bb5_in) = 1
	Pol(eval_loops_bb1_in) = 0
	Pol(eval_loops_bb4_in) = 2
	Pol(eval_loops_bb3_in) = 2
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-1) = ?
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-2) = ?
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))", 0-1) = ?
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))", 0-2) = ?
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))", 0-1) = ?
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))", 0-2) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-1) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-2) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]", 0-1) = ?
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]", 0-2) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]", 0-1) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]", 0-2) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]", 0-1) = ?
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]", 0-2) = 1
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]", 0-0) = Ar_0
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]", 0-1) = ?
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]", 0-2) = ?
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]", 0-1) = ?
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]", 0-2) = ?
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-0) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-1) = Ar_1
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-2) = Ar_2
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-1) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-2) = Ar_2
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
	eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
	eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
	eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
weakly and the transitions
	eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
	eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)              eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)              eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)              eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)              eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)              eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)              eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)     eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)              eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_1 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)     eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ 1 < Ar_1 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)     eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)              eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 < Ar_1 ]
		(Comp: 12*Ar_0 + 9, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)              eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2))
		(Comp: 12*Ar_0 + 9, Cost: 1)    eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2))
		(Comp: 2, Cost: 1)              eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)              koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 6 to obtain the following invariants:
  For symbol eval_loops_bb1_in: X_1 - X_2 >= 0 /\ X_1 >= 0
  For symbol eval_loops_bb2_in: X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0
  For symbol eval_loops_bb3_in: X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 2 >= 0
  For symbol eval_loops_bb4_in: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 2 >= 0
  For symbol eval_loops_bb5_in: X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ X_1 >= 0


This yielded the following problem:
7:	T:
		(Comp: 1, Cost: 0)              koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)              eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 12*Ar_0 + 9, Cost: 1)    eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)              eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]
		(Comp: 12*Ar_0 + 9, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)              eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)     eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 1 >= Ar_1 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)     eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 1 < Ar_1 ]
		(Comp: 2, Cost: 1)              eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)     eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)              eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: 1, Cost: 1)              eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)              eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)              eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)              eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)              eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_loops_bb4_in) = 2*V_2 - 2*V_3 - 1
	Pol(eval_loops_bb3_in) = 2*V_2 - 2*V_3
and size complexities
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-1) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]", 0-2) = Ar_2
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-0) = Ar_0
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-1) = Ar_1
	S("eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]", 0-2) = Ar_2
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= 0 ]", 0-1) = Ar_0 + 2
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 >= 0 ]", 0-2) = 2*Ar_0 + 2*Ar_2 + 16
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < 0 ]", 0-0) = Ar_0
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < 0 ]", 0-1) = Ar_0 + 2
	S("eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ Ar_1 < 0 ]", 0-2) = 2*Ar_0 + 2*Ar_2 + 32
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ 1 < Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ 1 < Ar_1 ]", 0-1) = Ar_0 + 2
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ 1 < Ar_1 ]", 0-2) = 1
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ 1 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ 1 >= Ar_1 ]", 0-1) = 1
	S("eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 /\\ 1 >= Ar_1 ]", 0-2) = 2*Ar_0 + 2*Ar_2 + 16
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 < Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 < Ar_1 ]", 0-1) = Ar_0 + 2
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 < Ar_1 ]", 0-2) = 2*Ar_0 + 10
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= Ar_1 ]", 0-1) = Ar_0 + 2
	S("eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_2 >= Ar_1 ]", 0-2) = 2*Ar_0 + 8
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2)) [ Ar_1 - Ar_2 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2)) [ Ar_1 - Ar_2 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-1) = Ar_0 + 2
	S("eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2)) [ Ar_1 - Ar_2 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 3 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-2) = 2*Ar_0 + 4
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-0) = Ar_0
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-1) = Ar_0 + 2
	S("eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 >= 0 /\\ Ar_0 >= 0 ]", 0-2) = 2*Ar_0 + 2*Ar_2 + 16
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_0 + Ar_1 + 2
	S("eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))", 0-2) = 2*Ar_0 + 2*Ar_2 + 64
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
orients the transitions
	eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]
	eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 < Ar_1 ]
weakly and the transitions
	eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]
	eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 < Ar_1 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 0)                          koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)                          eval_loops_bb6_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 12*Ar_0 + 9, Cost: 1)                eval_loops_bb5_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_1 - 1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: 8*Ar_0^2 + 30*Ar_0 + 18, Cost: 1)    eval_loops_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 2*Ar_2)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]
		(Comp: 12*Ar_0 + 9, Cost: 1)                eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: 8*Ar_0^2 + 30*Ar_0 + 18, Cost: 1)    eval_loops_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb4_in(Ar_0, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_2 < Ar_1 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)                 eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb5_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 1 >= Ar_1 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)                 eval_loops_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb3_in(Ar_0, Ar_1, 1)) [ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 1 < Ar_1 ]
		(Comp: 2, Cost: 1)                          eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 < 0 ]
		(Comp: 4*Ar_0 + 3, Cost: 1)                 eval_loops_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 - Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)                          eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb6_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 < 0 ]
		(Comp: 1, Cost: 1)                          eval_loops_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb1_in(Ar_0, Ar_0, Ar_2)) [ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)                          eval_loops_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                          eval_loops_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                          eval_loops_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                          eval_loops_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_loops_bb0_in(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 96*Ar_0 + 16*Ar_0^2 + 73

Time: 3.076 sec (SMT: 2.966 sec)