WORST_CASE(?, O(n^2))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 <= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_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_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 > 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 <= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_start_start) = 2
	Pol(eval_start_bb0_in) = 2
	Pol(eval_start_0) = 2
	Pol(eval_start_1) = 2
	Pol(eval_start_2) = 2
	Pol(eval_start_3) = 2
	Pol(eval_start_bb1_in) = 2
	Pol(eval_start_bb4_in) = 0
	Pol(eval_start_bb2_in) = 2
	Pol(eval_start_bb3_in) = 1
	Pol(eval_start_stop) = 0
	Pol(eval_start_8) = 0
	Pol(eval_start_9) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2))
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 <= 0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 > 0 ]
		(Comp: 2, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ Ar_0 <= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_0 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 3 to obtain the following invariants:
  For symbol eval_start_8: -X_2 >= 0
  For symbol eval_start_9: -X_2 >= 0
  For symbol eval_start_bb1_in: -X_1 + X_3 >= 0 /\ X_2 - 1 >= 0
  For symbol eval_start_bb2_in: X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0
  For symbol eval_start_bb3_in: -X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ -X_1 >= 0
  For symbol eval_start_bb4_in: -X_2 >= 0


This yielded the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 2, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 <= 0 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_start_bb2_in) = 2*V_1 - 2*V_2 + 1
	Pol(eval_start_bb1_in) = 2*V_1 - 2*V_2 + 2
and size complexities
	S("eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]", 0-0) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 0 ]", 0-0) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 0 ]", 0-1) = Ar_1
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 0 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 <= 0 ]", 0-0) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 <= 0 ]", 0-1) = Ar_1
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 <= 0 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 < Ar_1 ]", 0-0) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 < Ar_1 ]", 0-1) = Ar_1
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 < Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-0) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-1) = Ar_1
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 >= 0 ]", 0-0) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 >= 0 ]", 0-1) = Ar_1
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 >= 0 ]", 0-2) = Ar_2
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-1) = Ar_1
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-2) = Ar_2
	S("eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-1) = Ar_1
	S("eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-2) = Ar_2
	S("eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-1) = Ar_1
	S("eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_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_start_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_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
orients the transitions
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 ]
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 0 ]
weakly and the transition
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 0)                      koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                      eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)                      eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)                      eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)                      eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 >= 0 ]
		(Comp: 2*Ar_2 + 2*Ar_1 + 2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)                      eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 2, Cost: 1)                      eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 <= 0 ]
		(Comp: ?, Cost: 1)                      eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)                      eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                      eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]
		(Comp: 1, Cost: 1)                      eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                      eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                      eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                      eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                      eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(eval_start_bb2_in) = 2*V_1 - 1
	Pol(eval_start_bb1_in) = 2*V_1
and size complexities
	S("eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]", 0-0) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]", 0-0) = Ar_0
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 0 ]", 0-0) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 0 ]", 0-1) = Ar_1
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 > 0 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 <= 0 ]", 0-0) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 <= 0 ]", 0-1) = Ar_1
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 <= 0 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 < Ar_1 ]", 0-0) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 < Ar_1 ]", 0-1) = Ar_1
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 < Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-0) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-1) = Ar_1
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ Ar_0 + Ar_2 - 2 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_0 >= Ar_1 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 >= 0 ]", 0-0) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 >= 0 ]", 0-1) = Ar_1
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ -Ar_0 + Ar_1 - 1 >= 0 /\\ -Ar_0 >= 0 ]", 0-2) = Ar_2
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-1) = Ar_1
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-2) = Ar_2
	S("eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-1) = Ar_1
	S("eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-2) = Ar_2
	S("eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0
	S("eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-1) = Ar_1
	S("eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_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_start_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_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
orients the transitions
	eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 0 ]
weakly and the transition
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 0 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 0)                                  koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)                                  eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 >= 0 ]
		(Comp: 2*Ar_2 + 2*Ar_1 + 2, Cost: 1)                eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)                                  eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 2, Cost: 1)                                  eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 <= 0 ]
		(Comp: 6*Ar_2 + 4*Ar_2^2 + 4*Ar_1*Ar_2, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                                  eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]
		(Comp: 1, Cost: 1)                                  eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 6 produces the following problem:
7:	T:
		(Comp: 1, Cost: 0)                                  koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_start(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_9(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_8(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_9(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_bb4_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2)) [ -Ar_1 >= 0 ]
		(Comp: 2, Cost: 1)                                  eval_start_bb3_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ -Ar_0 >= 0 ]
		(Comp: 2*Ar_2 + 2*Ar_1 + 2, Cost: 1)                eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - Ar_1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 ]
		(Comp: 6*Ar_2 + 4*Ar_2^2 + 4*Ar_1*Ar_2, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_0 - 1, Ar_1, Ar_2)) [ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 < Ar_1 ]
		(Comp: 2, Cost: 1)                                  eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 <= 0 ]
		(Comp: 6*Ar_2 + 4*Ar_2^2 + 4*Ar_1*Ar_2, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2)) [ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 > 0 ]
		(Comp: 1, Cost: 1)                                  eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2)) [ 0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                                  eval_start_3(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2)) [ 0 < Ar_1 ]
		(Comp: 1, Cost: 1)                                  eval_start_2(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_1(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_0(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_bb0_in(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                                  eval_start_start(Ar_0, Ar_1, Ar_2) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2))
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 14*Ar_2 + 2*Ar_1 + 8*Ar_2^2 + 8*Ar_1*Ar_2 + 16

Time: 2.626 sec (SMT: 2.538 sec)