
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f8(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) -> Com_1(f32(Ar_0, Ar_1, Fresh_23, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f15(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) -> Com_1(f8(Ar_0, Ar_1, Ar_2, Fresh_22, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12))
		(Comp: ?, Cost: 1)    f300(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) -> Com_1(f8(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_1 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f8(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) -> Com_1(f8(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_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f13(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) -> Com_1(f1(Ar_0, Ar_1, Fresh_19, Ar_3, Ar_4, Fresh_20, Fresh_21, 0, -2, 0, 0, Ar_11, Ar_12))
		(Comp: ?, Cost: 1)    f12(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) -> Com_1(f1(Ar_0, Ar_1, Fresh_16, Ar_3, Ar_4, Fresh_17, Fresh_18, 0, Ar_8, 0, 0, Ar_8 - 1, Ar_12)) [ 4 >= Ar_8 ]
		(Comp: ?, Cost: 1)    f10(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) -> Com_1(f1(Ar_0, Ar_1, Fresh_13, Ar_3, Ar_4, Fresh_14, Fresh_15, 0, Ar_8, 0, 0, Ar_11, -2))
		(Comp: ?, Cost: 1)    f8(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) -> Com_1(f1(Ar_0, Ar_1, Fresh_10, Ar_3, Ar_4, Fresh_11, Fresh_12, 0, Ar_8, 0, 0, Ar_11, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f1(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) -> Com_1(f1(Ar_0, Ar_1, Fresh_7, Ar_3, Ar_4, Fresh_8, Fresh_9, 0, Ar_8, 0, 0, Ar_11, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: ?, Cost: 1)    f300(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) -> Com_1(f1(Ar_0, Ar_1, Fresh_4, Ar_3, Ar_4, Fresh_5, Fresh_6, 0, Ar_8, 0, 0, Ar_11, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f12(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) -> Com_1(f300(Ar_0, Ar_1 + 1, Fresh_2, Ar_3, Ar_4, Fresh_3, Ar_6, 1, Ar_8, 1, 1, Ar_11, Ar_12)) [ Ar_8 >= 5 ]
		(Comp: ?, Cost: 1)    f1(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) -> Com_1(f300(Ar_0, Ar_1 + 1, Fresh_0, Ar_3, Ar_4, Fresh_1, Ar_6, 1, Ar_8, 1, 1, Ar_11, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(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) -> Com_1(f15(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)) [ 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_4, Ar_8, Ar_12].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_8, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_8, Ar_12)) [ Ar_8 >= 5 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, -2))
		(Comp: ?, Cost: 1)    f12(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ 4 >= Ar_8 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, -2, Ar_12))
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_1 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f15(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12))
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_0 >= Ar_1 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 2:
	f12(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_8, Ar_12)) [ Ar_8 >= 5 ]
	f10(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, -2))
	f12(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ 4 >= Ar_8 ]
	f13(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, -2, Ar_12))
We thus obtain the following problem:
3:	T:
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_1 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_8, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f15(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_8, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 1
	Pol(f15) = 1
	Pol(f8) = 1
	Pol(f1) = 1
	Pol(f32) = 0
	Pol(f300) = 1
orients all transitions weakly and the transition
	f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f8) = 0
	Pol(f300) = 1
	Pol(f1) = 1
and size complexities
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-0) = Ar_0 + 1
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-1) = ?
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-2) = Ar_4
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-3) = Ar_12
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-0) = Ar_0
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-1) = ?
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-2) = Ar_4
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-3) = Ar_12
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-0) = Ar_0
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-1) = ?
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-2) = Ar_4
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-3) = Ar_12
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-0) = Ar_0
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-1) = ?
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-2) = Ar_4
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-3) = Ar_12
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-0) = ?
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-1) = ?
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_12
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-0) = ?
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-1) = ?
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-2) = Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-3) = Ar_12
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-0) = Ar_0
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-1) = Ar_1
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-2) = Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-3) = Ar_12
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-0) = Ar_0
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-1) = Ar_1
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-2) = Ar_4
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-3) = Ar_12
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-2) = Ar_4
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-3) = Ar_12
orients the transitions
	f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
	f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
	f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
weakly and the transition
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: ?, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: 1, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = -2*V_2 + 2*V_3
	Pol(f15) = -2*V_2 + 2*V_3
	Pol(f8) = -2*V_2 + 2*V_3
	Pol(f1) = -2*V_2 + 2*V_3
	Pol(f32) = -2*V_2 + 2*V_3
	Pol(f300) = -2*V_2 + 2*V_3 + 1
orients all transitions weakly and the transitions
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
	f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 0)                  koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                  f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 1)                  f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)                  f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                  f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)    f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                  f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)    f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: 1, Cost: 1)                  f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f8) = -V_1 + V_2
	Pol(f1) = 0
and size complexities
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-0) = Ar_0 + 1
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-1) = 3*Ar_1 + 3*Ar_4
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-2) = Ar_4
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]", 0-3) = Ar_12
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-0) = Ar_0
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-1) = 3*Ar_1 + 3*Ar_4
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-2) = Ar_4
	S("f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]", 0-3) = Ar_12
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-0) = Ar_0
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-1) = 3*Ar_1 + 3*Ar_4
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-2) = Ar_4
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ 4 >= Ar_12 ]", 0-3) = Ar_12
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-0) = Ar_0
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-1) = 3*Ar_1 + 3*Ar_4
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-2) = Ar_4
	S("f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\\ Ar_12 >= 5 ]", 0-3) = Ar_12
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-0) = ?
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-1) = 3*Ar_1 + 3*Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-2) = Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]", 0-3) = Ar_12
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-0) = ?
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-1) = 3*Ar_1 + 3*Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-2) = Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_1 >= Ar_4 ]", 0-3) = Ar_12
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-0) = Ar_0
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-1) = Ar_1
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-2) = Ar_4
	S("f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\\ Ar_4 >= Ar_1 + 1 ]", 0-3) = Ar_12
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-0) = Ar_0
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-1) = Ar_1
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-2) = Ar_4
	S("f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))", 0-3) = Ar_12
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-2) = Ar_4
	S("koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]", 0-3) = Ar_12
orients the transitions
	f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
	f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
weakly and the transition
	f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 0)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)                               f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_4 >= Ar_1 + 1 ]
		(Comp: 1, Cost: 1)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_4 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 8 to obtain the following invariants:
  For symbol f1: -X_2 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 2 >= 0 /\ -X_1 + X_2 - 1 >= 0
  For symbol f300: X_4 - 5 >= 0 /\ -X_2 + X_3 >= 0 /\ -X_1 + X_3 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0


This yielded the following problem:
9:	T:
		(Comp: 1, Cost: 1)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 1, Cost: 1)                               f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 0)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 ] with all transitions in problem 9, the following new transition is obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 2)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 1, Cost: 1)                               f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 0)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 ] with all transitions in problem 10, the following new transition is obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
We thus obtain the following problem:
11:	T:
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 1, Cost: 2)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 1, Cost: 1)                               f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
		(Comp: 1, Cost: 0)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f15(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ] with all transitions in problem 11, the following new transition is obtained:
	koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 1, Cost: 2)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 1, Cost: 1)                               f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 12:
	f15(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12))
We thus obtain the following problem:
13:	T:
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 1, Cost: 2)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 ] with all transitions in problem 13, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 ] with all transitions in problem 14, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 ] with all transitions in problem 15, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 ] with all transitions in problem 16, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 ] with all transitions in problem 17, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 ] with all transitions in problem 18, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 ]
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 ] with all transitions in problem 19, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_0 + 8 >= Ar_1 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 9)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 ]
		(Comp: 1, Cost: 9)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_0 + 8 >= Ar_1 ]
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 ] with all transitions in problem 20, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_0 + 9 >= Ar_1 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 10)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 ]
		(Comp: 1, Cost: 10)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_0 + 9 >= Ar_1 ]
		(Comp: 1, Cost: 9)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_0 + 8 >= Ar_1 ]
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 ] with all transitions in problem 21, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 11, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_0 + 10 >= Ar_1 ]
We thus obtain the following problem:
22:	T:
		(Comp: 1, Cost: 11)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 11, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 ]
		(Comp: 1, Cost: 11)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_0 + 10 >= Ar_1 ]
		(Comp: 1, Cost: 10)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_0 + 9 >= Ar_1 ]
		(Comp: 1, Cost: 9)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_0 + 8 >= Ar_1 ]
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 11, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 ] with all transitions in problem 22, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 12, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 11, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_0 + 11 >= Ar_1 ]
We thus obtain the following problem:
23:	T:
		(Comp: 1, Cost: 12)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 12, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 ]
		(Comp: 1, Cost: 12)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 11, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_0 + 11 >= Ar_1 ]
		(Comp: 1, Cost: 11)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_0 + 10 >= Ar_1 ]
		(Comp: 1, Cost: 10)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_0 + 9 >= Ar_1 ]
		(Comp: 1, Cost: 9)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_0 + 8 >= Ar_1 ]
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 12, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 ] with all transitions in problem 23, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 13, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_1 >= Ar_0 + 13 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 12, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_0 + 12 >= Ar_1 ]
We thus obtain the following problem:
24:	T:
		(Comp: 1, Cost: 13)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 13, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_1 >= Ar_0 + 13 ]
		(Comp: 1, Cost: 13)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 12, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_0 + 12 >= Ar_1 ]
		(Comp: 1, Cost: 12)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 11, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_0 + 11 >= Ar_1 ]
		(Comp: 1, Cost: 11)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_0 + 10 >= Ar_1 ]
		(Comp: 1, Cost: 10)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_0 + 9 >= Ar_1 ]
		(Comp: 1, Cost: 9)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_0 + 8 >= Ar_1 ]
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 13, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_1 >= Ar_0 + 13 ] with all transitions in problem 24, the following new transitions are obtained:
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 14, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_1 >= Ar_0 + 13 /\ Ar_1 >= Ar_0 + 14 ]
	f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 13, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_1 >= Ar_0 + 13 /\ Ar_0 + 13 >= Ar_1 ]
We thus obtain the following problem:
25:	T:
		(Comp: 1, Cost: 14)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 14, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_1 >= Ar_0 + 13 /\ Ar_1 >= Ar_0 + 14 ]
		(Comp: 1, Cost: 14)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 13, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_1 >= Ar_0 + 13 /\ Ar_0 + 13 >= Ar_1 ]
		(Comp: 1, Cost: 13)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 12, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_1 >= Ar_0 + 12 /\ Ar_0 + 12 >= Ar_1 ]
		(Comp: 1, Cost: 12)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 11, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_1 >= Ar_0 + 11 /\ Ar_0 + 11 >= Ar_1 ]
		(Comp: 1, Cost: 11)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 10, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_1 >= Ar_0 + 10 /\ Ar_0 + 10 >= Ar_1 ]
		(Comp: 1, Cost: 10)                              f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 9, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_1 >= Ar_0 + 9 /\ Ar_0 + 9 >= Ar_1 ]
		(Comp: 1, Cost: 9)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 8, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_1 >= Ar_0 + 8 /\ Ar_0 + 8 >= Ar_1 ]
		(Comp: 1, Cost: 8)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 7, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_1 >= Ar_0 + 7 /\ Ar_0 + 7 >= Ar_1 ]
		(Comp: 1, Cost: 7)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 6, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_1 >= Ar_0 + 6 /\ Ar_0 + 6 >= Ar_1 ]
		(Comp: 1, Cost: 6)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 5, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_1 >= Ar_0 + 5 /\ Ar_0 + 5 >= Ar_1 ]
		(Comp: 1, Cost: 5)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 4, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_1 >= Ar_0 + 4 /\ Ar_0 + 4 >= Ar_1 ]
		(Comp: 1, Cost: 4)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 3, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_1 >= Ar_0 + 3 /\ Ar_0 + 3 >= Ar_1 ]
		(Comp: 1, Cost: 3)                               f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0 + 2, Ar_1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_1 >= Ar_4 /\ Ar_1 >= Ar_0 + 2 /\ Ar_0 + 2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 2)                 f300(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ Ar_12 - 5 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_12 >= 5 ]
		(Comp: 2*Ar_1 + 2*Ar_4, Cost: 1)                 f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f300(Ar_0, Ar_1 + 1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ Ar_12 >= 5 ]
		(Comp: ?, Cost: 1)                               f1(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ -Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_4 >= Ar_1 + 1 /\ 4 >= Ar_12 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_4 >= Ar_1 + 1 ]
		(Comp: 2*Ar_0 + 4*Ar_1 + 3*Ar_4 + 1, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0 + 1, Ar_1, Ar_4, Ar_12)) [ Ar_1 >= Ar_0 + 1 /\ Ar_1 >= Ar_4 ]
		(Comp: 1, Cost: 1)                               f8(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f32(Ar_0, Ar_1, Ar_4, Ar_12)) [ Ar_0 >= Ar_1 ]
		(Comp: 1, Cost: 1)                               koat_start(Ar_0, Ar_1, Ar_4, Ar_12) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.629 sec (SMT: 0.477 sec)
