
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_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, 0, 0))
		(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_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(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_3 < Ar_0 ]
		(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_3 >= Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(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_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, 0, 0))
		(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_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(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_3 < Ar_0 ]
		(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_3 >= Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(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) = 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_4) = 2
	Pol(eval_start_5) = 2
	Pol(eval_start_6) = 2
	Pol(eval_start_7) = 2
	Pol(eval_start_8) = 2
	Pol(eval_start_bb1_in) = 2
	Pol(eval_start_bb2_in) = 2
	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) = 2
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_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_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, 0, 0))
		(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_2 < Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(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_3 < Ar_0 ]
		(Comp: 2, 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_3 >= Ar_0 ]
		(Comp: ?, Cost: 1)    eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(Comp: 2, 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_2
	Pol(eval_start_bb0_in) = V_2
	Pol(eval_start_0) = V_2
	Pol(eval_start_1) = V_2
	Pol(eval_start_2) = V_2
	Pol(eval_start_3) = V_2
	Pol(eval_start_4) = V_2
	Pol(eval_start_5) = V_2
	Pol(eval_start_6) = V_2
	Pol(eval_start_7) = V_2
	Pol(eval_start_8) = V_2
	Pol(eval_start_bb1_in) = V_2 - V_3
	Pol(eval_start_bb2_in) = V_2 - V_3 - 1
	Pol(eval_start_bb3_in) = V_2 - V_3
	Pol(eval_start_bb4_in) = V_2 - V_3
	Pol(eval_start_bb5_in) = V_2 - V_3
	Pol(eval_start_stop) = V_2 - V_3
	Pol(koat_start) = V_2
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_2 < Ar_1 ]
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_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, 0, 0))
		(Comp: Ar_1, 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_2 < Ar_1 ]
		(Comp: ?, Cost: 1)       eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)       eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(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_3 < Ar_0 ]
		(Comp: 2, 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_3 >= Ar_0 ]
		(Comp: ?, Cost: 1)       eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(Comp: 2, 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_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)       eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, 0, 0))
		(Comp: Ar_1, 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_2 < Ar_1 ]
		(Comp: ?, Cost: 1)       eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: Ar_1, Cost: 1)    eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(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_3 < Ar_0 ]
		(Comp: 2, 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_3 >= Ar_0 ]
		(Comp: ?, Cost: 1)       eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(Comp: 2, 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_1 + 1
	Pol(eval_start_bb0_in) = V_1 + 1
	Pol(eval_start_0) = V_1 + 1
	Pol(eval_start_1) = V_1 + 1
	Pol(eval_start_2) = V_1 + 1
	Pol(eval_start_3) = V_1 + 1
	Pol(eval_start_4) = V_1 + 1
	Pol(eval_start_5) = V_1 + 1
	Pol(eval_start_6) = V_1 + 1
	Pol(eval_start_7) = V_1 + 1
	Pol(eval_start_8) = V_1 + 1
	Pol(eval_start_bb1_in) = V_1 - V_4 + 1
	Pol(eval_start_bb2_in) = V_1 - V_4
	Pol(eval_start_bb3_in) = V_1 - V_4 + 1
	Pol(eval_start_bb4_in) = V_1 - V_4
	Pol(eval_start_bb5_in) = V_1 - V_4
	Pol(eval_start_stop) = V_1 - V_4
	Pol(koat_start) = V_1 + 1
orients all transitions 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_3 < Ar_0 ]
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_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)           eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, 0, 0))
		(Comp: Ar_1, 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_2 < Ar_1 ]
		(Comp: ?, Cost: 1)           eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: Ar_1, Cost: 1)        eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(Comp: Ar_0 + 1, 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_3 < Ar_0 ]
		(Comp: 2, 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_3 >= Ar_0 ]
		(Comp: ?, Cost: 1)           eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(Comp: 2, 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_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_5(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_6(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_7(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                  eval_start_8(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, 0, 0))
		(Comp: Ar_1, 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_2 < Ar_1 ]
		(Comp: Ar_0 + Ar_1 + 2, Cost: 1)    eval_start_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: Ar_1, Cost: 1)               eval_start_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(Comp: Ar_0 + 1, 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_3 < Ar_0 ]
		(Comp: 2, 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_3 >= Ar_0 ]
		(Comp: Ar_0 + 1, Cost: 1)           eval_start_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_start_bb1_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3 + 1))
		(Comp: 2, 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 3*Ar_1 + 3*Ar_0 + 19

Time: 0.075 sec (SMT: 0.053 sec)
