
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Fresh_20, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_16, Ar_6, Fresh_17, Fresh_18, Fresh_19, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Fresh_12, Fresh_13, Ar_10, Ar_12, Ar_13, Fresh_14, Fresh_15, Ar_4, Ar_16, Ar_17)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, 0, Fresh_9, Fresh_10, Ar_10, Ar_12, Ar_12, 0, Ar_14, Ar_4, Fresh_11, Ar_17)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_3, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_4, Fresh_5, Ar_10, Fresh_3, Fresh_6, Fresh_7, Fresh_8, Ar_15, Ar_3, Ar_2 - 2)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f9(17, 1, 0, Fresh_0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Fresh_1, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13))
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13))
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 2
	Pol(f6) = 2
	Pol(f9) = 2
	Pol(f5) = 1
	Pol(f12) = 0
	Pol(f0) = 0
orients all transitions weakly and the transitions
	f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
	f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
	f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13))
		(Comp: 2, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 2, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 16
	Pol(f6) = 16
	Pol(f9) = V_1 - V_2
	Pol(f5) = V_1 - V_2
	Pol(f12) = V_1 - V_2
	Pol(f0) = V_1 - V_2
orients all transitions weakly and the transition
	f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13))
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_0 >= Ar_1 + 1 /\ Ar_2 >= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol f5: -X_7 >= 0 /\ X_4 - X_7 - 1 >= 0 /\ X_3 - X_7 - 16 >= 0 /\ X_2 - X_7 - 17 >= 0 /\ X_1 - X_7 - 17 >= 0 /\ -X_1 - X_7 + 17 >= 0 /\ X_7 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 16 >= 0 /\ X_2 + X_7 - 17 >= 0 /\ X_1 + X_7 - 17 >= 0 /\ -X_1 + X_7 + 17 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 17 >= 0 /\ X_2 + X_4 - 18 >= 0 /\ X_1 + X_4 - 18 >= 0 /\ -X_1 + X_4 + 16 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 16 >= 0 /\ X_2 + X_3 - 33 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 - 33 >= 0 /\ -X_1 + X_3 + 1 >= 0 /\ X_2 - 17 >= 0 /\ X_1 + X_2 - 34 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 + 17 >= 0 /\ X_1 - 17 >= 0
  For symbol f9: X_2 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 1 >= 0 /\ X_1 + X_3 - 17 >= 0 /\ -X_1 + X_3 + 17 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 18 >= 0 /\ -X_1 + X_2 + 16 >= 0 /\ -X_1 + 17 >= 0 /\ X_1 - 17 >= 0


This yielded the following problem:
6:	T:
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13))
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 1, 0, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) with all transitions in problem 6, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 2, 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 2)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 2, 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 2, 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 ] with all transitions in problem 7, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 3, 2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 ]
We thus obtain the following problem:
8:	T:
		(Comp: 1, Cost: 3)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 3, 2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 3, 2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 ] with all transitions in problem 8, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 4, 3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 ]
We thus obtain the following problem:
9:	T:
		(Comp: 1, Cost: 4)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 4, 3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 4, 3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 ] with all transitions in problem 9, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 5, 4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 5)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 5, 4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 5, 4, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 ] with all transitions in problem 10, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 6, 5, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 ]
We thus obtain the following problem:
11:	T:
		(Comp: 1, Cost: 6)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 6, 5, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 6, 5, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 ] with all transitions in problem 11, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 7, 6, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 ]
We thus obtain the following problem:
12:	T:
		(Comp: 1, Cost: 7)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 7, 6, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 7, 6, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 ] with all transitions in problem 12, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 8, 7, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 ]
We thus obtain the following problem:
13:	T:
		(Comp: 1, Cost: 8)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 8, 7, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 8, 7, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 ] with all transitions in problem 13, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 9, 8, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 ]
We thus obtain the following problem:
14:	T:
		(Comp: 1, Cost: 9)     f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 9, 8, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 9, 8, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 ] with all transitions in problem 14, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 10, 9, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 ]
We thus obtain the following problem:
15:	T:
		(Comp: 1, Cost: 10)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 10, 9, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 10, 9, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 ] with all transitions in problem 15, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 11, 10, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 ]
We thus obtain the following problem:
16:	T:
		(Comp: 1, Cost: 11)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 11, 10, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 11, 10, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 ] with all transitions in problem 16, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 12, 11, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 ]
We thus obtain the following problem:
17:	T:
		(Comp: 1, Cost: 12)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 12, 11, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 12, 11, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 ] with all transitions in problem 17, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 13, 12, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 ]
We thus obtain the following problem:
18:	T:
		(Comp: 1, Cost: 13)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 13, 12, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 13, 12, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 ] with all transitions in problem 18, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 14, 13, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 ]
We thus obtain the following problem:
19:	T:
		(Comp: 1, Cost: 14)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 14, 13, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 14, 13, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 ] with all transitions in problem 19, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 15, 14, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 /\ 13 >= 0 /\ 26 >= 0 /\ 17 >= 15 ]
We thus obtain the following problem:
20:	T:
		(Comp: 1, Cost: 15)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 15, 14, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 /\ 13 >= 0 /\ 26 >= 0 /\ 17 >= 15 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 15, 14, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 /\ 13 >= 0 /\ 26 >= 0 /\ 17 >= 15 ] with all transitions in problem 20, the following new transition is obtained:
	f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 16, 15, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 /\ 13 >= 0 /\ 26 >= 0 /\ 17 >= 15 /\ 28 >= 0 /\ 17 >= 16 ]
We thus obtain the following problem:
21:	T:
		(Comp: 1, Cost: 16)    f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(17, 16, 15, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 >= 0 /\ 17 >= 2 /\ 1 >= 0 /\ 2 >= 0 /\ 17 >= 3 /\ 4 >= 0 /\ 17 >= 4 /\ 3 >= 0 /\ 6 >= 0 /\ 17 >= 5 /\ 8 >= 0 /\ 17 >= 6 /\ 5 >= 0 /\ 10 >= 0 /\ 17 >= 7 /\ 12 >= 0 /\ 17 >= 8 /\ 7 >= 0 /\ 14 >= 0 /\ 17 >= 9 /\ 16 >= 0 /\ 17 >= 10 /\ 9 >= 0 /\ 18 >= 0 /\ 17 >= 11 /\ 20 >= 0 /\ 17 >= 12 /\ 11 >= 0 /\ 22 >= 0 /\ 17 >= 13 /\ 24 >= 0 /\ 17 >= 14 /\ 13 >= 0 /\ 26 >= 0 /\ 17 >= 15 /\ 28 >= 0 /\ 17 >= 16 ]
		(Comp: 16, Cost: 1)    f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f9(Ar_0, Ar_1 + 1, Ar_2 + 1, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Fresh_16, Ar_6, Ar_12, Ar_13)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ U >= T + 1 /\ Ar_4 >= 1 /\ Ar_5 >= 0 ]
		(Comp: ?, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, Ar_4 + 1, Ar_5 - 1, Ar_12, 0, Ar_13, Fresh_14)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ T >= U /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f5(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f12(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, 0, Ar_12, 0)) [ -Ar_7 >= 0 /\ Ar_4 - Ar_7 - 1 >= 0 /\ Ar_2 - Ar_7 - 16 >= 0 /\ Ar_1 - Ar_7 - 17 >= 0 /\ Ar_0 - Ar_7 - 17 >= 0 /\ -Ar_0 - Ar_7 + 17 >= 0 /\ Ar_7 >= 0 /\ Ar_4 + Ar_7 - 1 >= 0 /\ Ar_2 + Ar_7 - 16 >= 0 /\ Ar_1 + Ar_7 - 17 >= 0 /\ Ar_0 + Ar_7 - 17 >= 0 /\ -Ar_0 + Ar_7 + 17 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 17 >= 0 /\ Ar_1 + Ar_4 - 18 >= 0 /\ Ar_0 + Ar_4 - 18 >= 0 /\ -Ar_0 + Ar_4 + 16 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 16 >= 0 /\ Ar_1 + Ar_2 - 33 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 33 >= 0 /\ -Ar_0 + Ar_2 + 1 >= 0 /\ Ar_1 - 17 >= 0 /\ Ar_0 + Ar_1 - 34 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ X' >= T /\ Ar_4 >= 0 /\ Ar_5 >= 0 /\ Ar_13 = 0 /\ Ar_7 = 0 ]
		(Comp: 2, Cost: 1)     f9(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f5(Ar_0, Ar_1, Ar_2, 1, Fresh_2 + Ar_2 - 3, Fresh_3, 0, Fresh_6, Fresh_7)) [ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_1 + Ar_2 + 1 >= 0 /\ Ar_0 + Ar_2 - 17 >= 0 /\ -Ar_0 + Ar_2 + 17 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 18 >= 0 /\ -Ar_0 + Ar_1 + 16 >= 0 /\ -Ar_0 + 17 >= 0 /\ Ar_0 - 17 >= 0 /\ Ar_2 >= 2 /\ Ar_1 >= Ar_0 /\ Y >= Z ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4, Ar_5, Ar_6, Ar_7, Ar_12, Ar_13)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.739 sec (SMT: 0.443 sec)
