
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_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_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_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_start_start) = 3
	Pol(eval_start_bb0_in) = 3
	Pol(eval_start_0) = 3
	Pol(eval_start_1) = 3
	Pol(eval_start_2) = 3
	Pol(eval_start_3) = 3
	Pol(eval_start_bb1_in) = 3
	Pol(eval_start_bb2_in) = 3
	Pol(eval_start_bb3_in) = 2
	Pol(eval_start_bb4_in) = 2
	Pol(eval_start_bb5_in) = 1
	Pol(eval_start_stop) = 0
	Pol(koat_start) = 3
orients all transitions weakly and the transitions
	eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
		(Comp: 3, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: 3, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
		(Comp: 3, Cost: 1)    eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_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_start_start) = -V_3 + V_4
	Pol(eval_start_bb0_in) = -V_3 + V_4
	Pol(eval_start_0) = -V_3 + V_4
	Pol(eval_start_1) = -V_3 + V_4
	Pol(eval_start_2) = -V_3 + V_4
	Pol(eval_start_3) = -V_3 + V_4
	Pol(eval_start_bb1_in) = -V_1 + V_4
	Pol(eval_start_bb2_in) = -V_1 + V_4 - 1
	Pol(eval_start_bb3_in) = -2*V_1 + V_2 + V_4
	Pol(eval_start_bb4_in) = -2*V_1 + V_2 + V_4
	Pol(eval_start_bb5_in) = -2*V_1 + V_2 + V_4
	Pol(eval_start_stop) = -2*V_1 + V_2 + V_4
	Pol(koat_start) = -V_3 + V_4
orients all transitions weakly and the transition
	eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)              eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_2 + Ar_3, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
		(Comp: 3, Cost: 1)              eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
		(Comp: ?, Cost: 1)              eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)              eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: 3, Cost: 1)              eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
		(Comp: ?, Cost: 1)              eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
		(Comp: 3, Cost: 1)              eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 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_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)              eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_2 + Ar_3, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
		(Comp: 3, Cost: 1)              eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
		(Comp: Ar_2 + Ar_3, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)              eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: 3, Cost: 1)              eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
		(Comp: ?, Cost: 1)              eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
		(Comp: 3, Cost: 1)              eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_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_start_bb4_in) = V_2 - 3
	Pol(eval_start_bb3_in) = V_2
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_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_start_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_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))", 0-0) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))", 0-1) = ?
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]", 0-0) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]", 0-1) = ?
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]", 0-3) = Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]", 0-0) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]", 0-1) = ?
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]", 0-2) = Ar_2
	S("eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]", 0-3) = Ar_3
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-0) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]", 0-0) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]", 0-1) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]", 0-3) = Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]", 0-0) = 2*Ar_2 + 2*Ar_3
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]", 0-1) = Ar_1
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]", 0-2) = Ar_2
	S("eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]", 0-3) = Ar_3
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
weakly and the transition
	eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)                  eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_2 + Ar_3, Cost: 1)        eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
		(Comp: 3, Cost: 1)                  eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
		(Comp: Ar_2 + Ar_3, Cost: 1)        eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 6*Ar_2 + 6*Ar_3, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: 3, Cost: 1)                  eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
		(Comp: ?, Cost: 1)                  eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
		(Comp: 3, Cost: 1)                  eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 6 produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)                  eval_start_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_2, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_2 + Ar_3, Cost: 1)        eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 > Ar_0 ]
		(Comp: 3, Cost: 1)                  eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_0, Ar_2, Ar_3)) [ Ar_3 <= Ar_0 ]
		(Comp: Ar_2 + Ar_3, Cost: 1)        eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 6*Ar_2 + 6*Ar_3, Cost: 1)    eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > 2 ]
		(Comp: 3, Cost: 1)                  eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 <= 2 ]
		(Comp: 6*Ar_2 + 6*Ar_3, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1 - 3, Ar_2, Ar_3))
		(Comp: 3, Cost: 1)                  eval_start_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_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_start_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 14*Ar_2 + 14*Ar_3 + 15

Time: 0.054 sec (SMT: 0.042 sec)
