WORST_CASE(?, O(n^2))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_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_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_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_abc_start) = 1
	Pol(eval_abc_bb0_in) = 1
	Pol(eval_abc_0) = 1
	Pol(eval_abc_1) = 1
	Pol(eval_abc_2) = 1
	Pol(eval_abc_3) = 1
	Pol(eval_abc_4) = 1
	Pol(eval_abc_bb1_in) = 1
	Pol(eval_abc_bb2_in) = 1
	Pol(eval_abc_bb5_in) = 0
	Pol(eval_abc_bb3_in) = 1
	Pol(eval_abc_bb4_in) = 1
	Pol(eval_abc_10) = 1
	Pol(eval_abc_11) = 1
	Pol(eval_abc_stop) = -1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: 1, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)    eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: 1, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: ?, Cost: 1)    eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_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_abc_start) = 2*V_4
	Pol(eval_abc_bb0_in) = 2*V_4
	Pol(eval_abc_0) = 2*V_4
	Pol(eval_abc_1) = 2*V_4
	Pol(eval_abc_2) = 2*V_4
	Pol(eval_abc_3) = 2*V_4
	Pol(eval_abc_4) = 2*V_4
	Pol(eval_abc_bb1_in) = -2*V_2 + 2*V_4
	Pol(eval_abc_bb2_in) = -2*V_2 + 2*V_4 - 2
	Pol(eval_abc_bb5_in) = -2*V_2 + 2*V_4
	Pol(eval_abc_bb3_in) = -2*V_2 + 2*V_4 - 2
	Pol(eval_abc_bb4_in) = -2*V_2 + 2*V_4 - 2
	Pol(eval_abc_10) = -2*V_1 + 2*V_4
	Pol(eval_abc_11) = -2*V_1 + 2*V_4
	Pol(eval_abc_stop) = -2*V_2 + 2*V_4
	Pol(koat_start) = 2*V_4
orients all transitions weakly and the transition
	eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)         eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: 2*Ar_3, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: 1, Cost: 1)         eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: ?, Cost: 1)         eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: ?, Cost: 1)         eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: ?, Cost: 1)         eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)         eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)         eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)         eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_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_abc_bb4_in) = 3
	Pol(eval_abc_10) = 2
	Pol(eval_abc_bb3_in) = 4
	Pol(eval_abc_bb2_in) = 4
	Pol(eval_abc_11) = 1
	Pol(eval_abc_bb1_in) = 0
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_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_abc_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_abc_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-0) = ?
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-1) = ?
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-0) = ?
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-1) = ?
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-2) = ?
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-0) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-1) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-2) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-3) = Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-0) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-1) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-2) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-3) = Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-0) = ?
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-1) = ?
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-2) = ?
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-3) = Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-0) = ?
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-1) = ?
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-2) = 0
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-3) = Ar_3
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-1) = 0
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
	eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
	eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
	eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
	eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
	eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
weakly and the transitions
	eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
	eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
	eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
	eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)         eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: 2*Ar_3, Cost: 1)    eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: 1, Cost: 1)         eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: ?, Cost: 1)         eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: 8*Ar_3, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: ?, Cost: 1)         eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)    eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)    eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)    eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_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_abc_bb3_in) = 2*V_2 - 2*V_3
	Pol(eval_abc_bb2_in) = 2*V_2 - 2*V_3 + 1
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_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_abc_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_abc_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 8*Ar_0 + 8*Ar_3
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 8*Ar_3
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_stop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-0) = 8*Ar_3
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-1) = 8*Ar_3
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 8*Ar_3
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = 8*Ar_3
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-0) = 8*Ar_3
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-1) = 8*Ar_3
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-0) = 8*Ar_0 + 8*Ar_3
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-1) = 8*Ar_3
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-2) = ?
	S("eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-0) = 8*Ar_0 + 8*Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-1) = 8*Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-2) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]", 0-3) = Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-0) = 8*Ar_0 + 8*Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-1) = 8*Ar_3
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-2) = ?
	S("eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]", 0-3) = Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-0) = 8*Ar_0 + 8*Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-1) = 8*Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-2) = ?
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]", 0-3) = Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-0) = 8*Ar_0 + 8*Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-1) = 8*Ar_3
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-2) = 0
	S("eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]", 0-3) = Ar_3
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-1) = 0
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
	eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
weakly and the transition
	eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)                     eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: 2*Ar_3, Cost: 1)                eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: 1, Cost: 1)                     eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: 32*Ar_3^2 + 2*Ar_3, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: ?, Cost: 1)                     eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 7 produces the following problem:
8:	T:
		(Comp: 1, Cost: 1)                     eval_abc_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_bb0_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_1(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_2(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_3(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_4(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, 0, Ar_2, Ar_3))
		(Comp: 2*Ar_3, Cost: 1)                eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1 <= Ar_3 - 1 ]
		(Comp: 1, Cost: 1)                     eval_abc_bb1_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 > Ar_3 - 1 ]
		(Comp: 32*Ar_3^2 + 2*Ar_3, Cost: 1)    eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 <= Ar_1 ]
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_bb2_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 > Ar_1 ]
		(Comp: 32*Ar_3^2 + 2*Ar_3, Cost: 1)    eval_abc_bb3_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb2_in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_bb4_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_10(Ar_1 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_10(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 8*Ar_3, Cost: 1)                eval_abc_11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_bb1_in(Ar_0, Ar_0, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                     eval_abc_bb5_in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(eval_abc_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_abc_start(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 38*Ar_3 + 64*Ar_3^2 + 9

Time: 1.317 sec (SMT: 1.254 sec)