
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16)) [ 9 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16)) [ 9 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4 + Fresh_3, Ar_5 + 1, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_4, Ar_5, Ar_6 + Fresh_2, Ar_7 + 1, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_4, Ar_5, Ar_6, Ar_7, 1500, Fresh_1, Ar_14, Ar_15, Ar_16)) [ Ar_2 >= 10 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Fresh_0, Fresh_0, Ar_16)) [ 9 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3, 0, 0, 0, 0, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, 1000)) [ Ar_0 >= 10 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, 0, Ar_15, Ar_16))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2, Ar_3].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 2
	Pol(f0) = 2
	Pol(f11) = 2
	Pol(f33) = 1
	Pol(f14) = 2
	Pol(f58) = 0
	Pol(f36) = 1
orients all transitions weakly and the transitions
	f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
	f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: 2, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 10
	Pol(f0) = 10
	Pol(f11) = 10
	Pol(f33) = -V_3 + 10
	Pol(f14) = 10
	Pol(f58) = -V_3
	Pol(f36) = -V_3 + 9
orients all transitions weakly and the transition
	f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)     f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: ?, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: 2, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: 10, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f36) = 1
	Pol(f33) = 0
	Pol(f14) = 0
	Pol(f11) = 0
and size complexities
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-0) = ?
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-1) = 0
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-2) = Ar_2
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-3) = Ar_3
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-0) = ?
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-1) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-2) = ?
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-3) = 0
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-0) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-2) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-3) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-0) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-2) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-3) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-0) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-2) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-3) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-0) = ?
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-1) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-2) = ?
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-3) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-0) = ?
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-1) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-2) = Ar_2
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-3) = Ar_3
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-0) = ?
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-1) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-2) = Ar_2
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-3) = Ar_3
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-0) = ?
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-1) = 10
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-2) = 0
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-3) = Ar_3
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-0) = 0
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(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(f0(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(f0(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(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
orients the transitions
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
	f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
	f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
	f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
weakly and the transition
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)     f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: ?, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: 2, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: 10, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: 10, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 10
	Pol(f0) = 10
	Pol(f11) = -V_1 + 10
	Pol(f33) = -V_1
	Pol(f14) = -V_1 + 9
	Pol(f58) = -V_1
	Pol(f36) = -V_1
orients all transitions weakly and the transition
	f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)     f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: ?, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: 2, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: 10, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: 10, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: 10, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f36) = 0
	Pol(f14) = 1
	Pol(f11) = 0
and size complexities
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-0) = ?
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-1) = 0
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-2) = Ar_2
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-3) = Ar_3
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-0) = ?
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-1) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-2) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-3) = 0
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-0) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-2) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-3) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-0) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-2) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-3) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-0) = ?
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-2) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-3) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-0) = ?
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-1) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-2) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-3) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-0) = ?
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-1) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-2) = Ar_2
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-3) = Ar_3
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-0) = ?
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-1) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-2) = Ar_2
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-3) = Ar_3
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-0) = ?
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-1) = 10
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-2) = 0
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-3) = Ar_3
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-0) = 0
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(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(f0(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(f0(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(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
orients the transitions
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
	f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
	f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
weakly and the transition
	f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)     f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: 10, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: ?, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: 2, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: 10, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: ?, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: 10, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: 10, Cost: 1)    f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f36) = -V_4 + 10
	Pol(f14) = -V_2 + 10
and size complexities
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-0) = 10
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-1) = 0
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-2) = Ar_2
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]", 0-3) = Ar_3
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-0) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-1) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-2) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]", 0-3) = 0
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-0) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-2) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\\ 0 >= R + 1 ]", 0-3) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-0) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-2) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]", 0-3) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-0) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-1) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-2) = 10
	S("f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]", 0-3) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-0) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-1) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-2) = 10
	S("f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]", 0-3) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-0) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-1) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-2) = Ar_2
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]", 0-3) = Ar_3
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-0) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-1) = 10
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-2) = Ar_2
	S("f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]", 0-3) = Ar_3
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-0) = 10
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-1) = 10
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-2) = 0
	S("f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]", 0-3) = Ar_3
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-0) = 0
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(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(f0(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(f0(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(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
orients the transitions
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
	f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
weakly and the transitions
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
	f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
	f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
strictly and produces the following problem:
9:	T:
		(Comp: 1, Cost: 0)      koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)      f0(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(0, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)      f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 10 ]
		(Comp: 10, Cost: 1)     f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f11(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= 10 ]
		(Comp: 200, Cost: 1)    f14(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, Ar_1 + 1, Ar_2, Ar_3)) [ 9 >= Ar_1 ]
		(Comp: 2, Cost: 1)      f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f58(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 10 ]
		(Comp: 10, Cost: 1)     f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f33(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_3 >= 10 ]
		(Comp: 200, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 ]
		(Comp: 200, Cost: 1)    f36(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ 9 >= Ar_3 /\ 0 >= R + 1 ]
		(Comp: 10, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f36(Ar_0, Ar_1, Ar_2, 0)) [ 9 >= Ar_2 ]
		(Comp: 10, Cost: 1)     f11(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(f14(Ar_0, 0, Ar_2, Ar_3)) [ 9 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 645

Time: 0.100 sec (SMT: 0.078 sec)
