
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, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f8(Ar_0, Ar_1, Ar_1, Ar_1, 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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_0 >= Ar_1 + 1 ]
		(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, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f8(Ar_0, Ar_1, Ar_1, Ar_1, 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_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1, Ar_7 + 1, Ar_6 - 1, Fresh_28, Fresh_29, Ar_6 - 1, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f2(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1, Ar_7 + 1, Ar_6 - 1, Fresh_25, Fresh_26, Ar_6 - 1, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f23(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_16, 2, 1, 1, 2, Ar_10, Ar_11, Ar_12, 2, Fresh_17, Fresh_18, Fresh_19, Fresh_20, Fresh_20, Fresh_20, Fresh_20, Fresh_21, Fresh_22, 2, Fresh_23, 0, Ar_26)) [ Ar_4 >= E1 + 1 ]
		(Comp: ?, Cost: 1)    f23(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_8, 2, 1, 1, 2, Ar_10, Ar_11, Ar_12, 2, Fresh_9, Fresh_10, Fresh_11, Fresh_12, Fresh_12, Fresh_12, Fresh_12, Fresh_13, Fresh_14, 2, Fresh_15, 0, Ar_26)) [ E1 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f2(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f8(Ar_0, Fresh_4, Fresh_4, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Fresh_5, Ar_17, Ar_18, Ar_19, Fresh_6, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Fresh_7)) [ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: ?, Cost: 1)    f2(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f8(Ar_0, Fresh_0, Fresh_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Fresh_1, Ar_17, Ar_18, Ar_19, Fresh_2, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Fresh_3)) [ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26) -> Com_1(f23(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, Ar_18, Ar_19, Ar_20, Ar_21, Ar_22, Ar_23, Ar_24, Ar_25, Ar_26)) [ 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_5, Ar_6, Ar_7].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7)) [ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_8, 2, 1)) [ E1 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_16, 2, 1)) [ Ar_4 >= E1 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1)) [ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1)) [ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]
	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_4, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7)) [ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_8, 2, 1)) [ E1 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_16, 2, 1)) [ Ar_4 >= E1 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1)) [ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1)) [ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 1
	Pol(f23) = 1
	Pol(f2) = 1
	Pol(f8) = 0
orients all transitions weakly and the transitions
	f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
	f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7)) [ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7)) [ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_8, 2, 1)) [ E1 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_16, 2, 1)) [ Ar_4 >= E1 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1)) [ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1)) [ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 2
	Pol(f23) = 2
	Pol(f2) = V_5
	Pol(f8) = V_5
orients all transitions weakly and the transitions
	f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1)) [ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
	f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1)) [ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7)) [ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_8, 2, 1)) [ E1 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_16, 2, 1)) [ Ar_4 >= E1 + 1 ]
		(Comp: 2, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1)) [ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: 2, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1)) [ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol f2: -X_5 - X_6 + 3 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 3 >= 0 /\ -X_5 + X_6 + 1 >= 0 /\ -X_5 + 2 >= 0
  For symbol f8: -X_6 + 2 >= 0 /\ X_5 - X_6 + 1 >= 0 /\ -X_5 - X_6 + 3 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 3 >= 0 /\ -X_5 + X_6 + 1 >= 0 /\ -X_5 + 2 >= 0 /\ X_5 - 1 >= 0 /\ X_3 - X_4 >= 0 /\ -X_3 + X_4 >= 0


This yielded the following problem:
6:	T:
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ -Ar_7 + 2 >= 0 /\ Ar_6 - Ar_7 + 1 >= 0 /\ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ -Ar_7 + 2 >= 0 /\ Ar_6 - Ar_7 + 1 >= 0 /\ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 2, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: 2, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_16, 2, 1)) [ Ar_4 >= E1 + 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_8, 2, 1)) [ E1 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ] with all transitions in problem 6, the following new transition is obtained:
	f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 /\ -Ar_7 + 2 >= 0 /\ Ar_6 - Ar_7 + 1 >= 0 /\ Ar_6 - 1 >= 0 /\ 0 >= 0 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 2)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_4, Ar_5, Ar_5, Ar_6, Ar_7)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_0 >= Fresh_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 /\ -Ar_7 + 2 >= 0 /\ Ar_6 - Ar_7 + 1 >= 0 /\ Ar_6 - 1 >= 0 /\ 0 >= 0 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ -Ar_7 + 2 >= 0 /\ Ar_6 - Ar_7 + 1 >= 0 /\ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ -Ar_7 + 2 >= 0 /\ Ar_6 - Ar_7 + 1 >= 0 /\ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_6 - 1 >= 0 /\ Ar_4 - Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 2, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_27, Ar_6 - 1, Ar_7 + 1)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_4 >= Ar_5 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: 2, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_24, Ar_6 - 1, Ar_7 + 1)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Ar_5 >= Ar_4 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_16, 2, 1)) [ Ar_4 >= E1 + 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f2(Ar_0, Ar_1, Ar_4, Fresh_8, 2, 1)) [ E1 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f8(Ar_0, Fresh_0, Ar_5, Ar_5, Ar_6, Ar_7)) [ -Ar_6 - Ar_7 + 3 >= 0 /\ Ar_7 - 1 >= 0 /\ Ar_6 + Ar_7 - 3 >= 0 /\ -Ar_6 + Ar_7 + 1 >= 0 /\ -Ar_6 + 2 >= 0 /\ Fresh_0 >= Ar_0 + 1 /\ Ar_6 >= 1 /\ Ar_7 >= 0 /\ Ar_5 = Ar_4 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.254 sec (SMT: 0.198 sec)
