
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f18(3, 3, 0, 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))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ 0 >= Ar_0 /\ Ar_0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f10(Ar_0, Ar_1 + Ar_0, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_0 >= 1 /\ Ar_0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f18(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(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, Ar_3, -3, 4, 0, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17))
		(Comp: ?, Cost: 1)    f25(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(f25(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 >= Ar_6 /\ Ar_6 >= Ar_8 ]
		(Comp: ?, Cost: 1)    f25(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(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7 + Ar_6, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_6 >= 1 /\ Ar_6 >= Ar_8 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_10, Ar_10, Ar_10, 3, -6, 0, Ar_15, Ar_16, Ar_17))
		(Comp: ?, Cost: 1)    f40(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(f40(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 >= Ar_12 /\ Ar_12 >= Ar_14 ]
		(Comp: ?, Cost: 1)    f40(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(f40(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_12, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_12 >= 1 /\ Ar_12 >= Ar_14 ]
		(Comp: ?, Cost: 1)    f48(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(f52(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_16, Ar_16, Ar_16)) [ 4 >= Ar_5 ]
		(Comp: ?, Cost: 1)    f48(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(f52(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_16, Ar_16, Ar_16)) [ Ar_5 >= 5 ]
		(Comp: ?, Cost: 1)    f40(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(f48(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_13, Ar_17)) [ Ar_14 >= Ar_12 + 1 ]
		(Comp: ?, Cost: 1)    f25(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(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_7, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17)) [ Ar_8 >= Ar_6 + 1 ]
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, Ar_17) -> Com_1(f18(Ar_0, Ar_1, Ar_2, 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_2 >= Ar_0 + 1 ]
		(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(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13, Ar_14, Ar_15, Ar_16, 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_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f18(Ar_0, Ar_1, Ar_2, Ar_1, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_2 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_8 >= Ar_6 + 1 ]
		(Comp: ?, Cost: 1)    f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f48(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_14 >= Ar_12 + 1 ]
		(Comp: ?, Cost: 1)    f48(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_5 >= 5 ]
		(Comp: ?, Cost: 1)    f48(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 4 >= Ar_5 ]
		(Comp: ?, Cost: 1)    f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_12 >= 1 /\ Ar_12 >= Ar_14 ]
		(Comp: ?, Cost: 1)    f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 >= Ar_12 /\ Ar_12 >= Ar_14 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, 3, 0))
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_6 >= 1 /\ Ar_6 >= Ar_8 ]
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 >= Ar_6 /\ Ar_6 >= Ar_8 ]
		(Comp: ?, Cost: 1)    f18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, -3, 0, Ar_12, Ar_14))
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f10(Ar_0, Ar_1 + Ar_0, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_0 >= 1 /\ Ar_0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 >= Ar_0 /\ Ar_0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f18(3, 3, 0, 3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 2:
	f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f18(Ar_0, Ar_1, Ar_2, Ar_1, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_2 >= Ar_0 + 1 ]
	f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f48(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_14 >= Ar_12 + 1 ]
	f48(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_5 >= 5 ]
	f48(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 4 >= Ar_5 ]
	f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 >= Ar_12 /\ Ar_12 >= Ar_14 ]
	f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_6 >= 1 /\ Ar_6 >= Ar_8 ]
	f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 >= Ar_6 /\ Ar_6 >= Ar_8 ]
	f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f10(Ar_0, Ar_1 + Ar_0, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_0 >= 1 /\ Ar_0 >= Ar_2 ]
	f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f10(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 >= Ar_0 /\ Ar_0 >= Ar_2 ]
We thus obtain the following problem:
3:	T:
		(Comp: ?, Cost: 1)    f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_12 >= 1 /\ Ar_12 >= Ar_14 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, 3, 0))
		(Comp: ?, Cost: 1)    f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_8 >= Ar_6 + 1 ]
		(Comp: ?, Cost: 1)    f18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_3, -3, 0, Ar_12, Ar_14))
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f18(3, 3, 0, 3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_5, Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f0(Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 <= 0 ]
		(Comp: 1, Cost: 1)    f0(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f18(Ar_6, Ar_8, Ar_12, Ar_14))
		(Comp: 1, Cost: 1)    f18(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(-3, 0, Ar_12, Ar_14))
		(Comp: 1, Cost: 1)    f25(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f33(Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_8 >= Ar_6 + 1 ]
		(Comp: 1, Cost: 1)    f33(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, 3, 0))
		(Comp: ?, Cost: 1)    f40(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, Ar_12, Ar_14)) [ Ar_12 >= 1 /\ Ar_12 >= Ar_14 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 4 to obtain the following invariants:
  For symbol f25: -X_2 >= 0 /\ X_1 - X_2 + 3 >= 0 /\ -X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 + 3 >= 0 /\ -X_1 + X_2 - 3 >= 0 /\ -X_1 - 3 >= 0 /\ X_1 + 3 >= 0
  For symbol f33: -X_2 >= 0 /\ X_1 - X_2 + 3 >= 0 /\ -X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 + 3 >= 0 /\ -X_1 + X_2 - 3 >= 0 /\ -X_1 - 3 >= 0 /\ X_1 + 3 >= 0
  For symbol f40: -X_4 >= 0 /\ X_3 - X_4 - 3 >= 0 /\ -X_3 - X_4 + 3 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 - X_4 >= 0 /\ X_1 - X_4 + 3 >= 0 /\ -X_1 - X_4 - 3 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 3 >= 0 /\ -X_3 + X_4 + 3 >= 0 /\ X_2 + X_4 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 + 3 >= 0 /\ -X_1 + X_4 - 3 >= 0 /\ -X_3 + 3 >= 0 /\ X_2 - X_3 + 3 >= 0 /\ -X_2 - X_3 + 3 >= 0 /\ X_1 - X_3 + 6 >= 0 /\ -X_1 - X_3 >= 0 /\ X_3 - 3 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ -X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 - 6 >= 0 /\ -X_2 >= 0 /\ X_1 - X_2 + 3 >= 0 /\ -X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 + 3 >= 0 /\ -X_1 + X_2 - 3 >= 0 /\ -X_1 - 3 >= 0 /\ X_1 + 3 >= 0


This yielded the following problem:
5:	T:
		(Comp: ?, Cost: 1)    f40(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, Ar_12, Ar_14)) [ -Ar_14 >= 0 /\ Ar_12 - Ar_14 - 3 >= 0 /\ -Ar_12 - Ar_14 + 3 >= 0 /\ Ar_8 - Ar_14 >= 0 /\ -Ar_8 - Ar_14 >= 0 /\ Ar_6 - Ar_14 + 3 >= 0 /\ -Ar_6 - Ar_14 - 3 >= 0 /\ Ar_14 >= 0 /\ Ar_12 + Ar_14 - 3 >= 0 /\ -Ar_12 + Ar_14 + 3 >= 0 /\ Ar_8 + Ar_14 >= 0 /\ -Ar_8 + Ar_14 >= 0 /\ Ar_6 + Ar_14 + 3 >= 0 /\ -Ar_6 + Ar_14 - 3 >= 0 /\ -Ar_12 + 3 >= 0 /\ Ar_8 - Ar_12 + 3 >= 0 /\ -Ar_8 - Ar_12 + 3 >= 0 /\ Ar_6 - Ar_12 + 6 >= 0 /\ -Ar_6 - Ar_12 >= 0 /\ Ar_12 - 3 >= 0 /\ Ar_8 + Ar_12 - 3 >= 0 /\ -Ar_8 + Ar_12 - 3 >= 0 /\ Ar_6 + Ar_12 >= 0 /\ -Ar_6 + Ar_12 - 6 >= 0 /\ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 /\ Ar_12 >= 1 /\ Ar_12 >= Ar_14 ]
		(Comp: 1, Cost: 1)    f33(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, 3, 0)) [ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 ]
		(Comp: 1, Cost: 1)    f25(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f33(Ar_6, Ar_8, Ar_12, Ar_14)) [ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 /\ Ar_8 >= Ar_6 + 1 ]
		(Comp: 1, Cost: 1)    f18(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(-3, 0, Ar_12, Ar_14))
		(Comp: 1, Cost: 1)    f0(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f18(Ar_6, Ar_8, Ar_12, Ar_14))
		(Comp: 1, Cost: 0)    koat_start(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f0(Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f33(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, 3, 0)) [ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 ] with all transitions in problem 5, the following new transition is obtained:
	f33(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, 3, 0)) [ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 /\ 0 >= 0 /\ 3 >= 1 /\ 3 >= 0 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 2)    f33(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, 3, 0)) [ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 /\ 0 >= 0 /\ 3 >= 1 /\ 3 >= 0 ]
		(Comp: ?, Cost: 1)    f40(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f40(Ar_6, Ar_8, Ar_12, Ar_14)) [ -Ar_14 >= 0 /\ Ar_12 - Ar_14 - 3 >= 0 /\ -Ar_12 - Ar_14 + 3 >= 0 /\ Ar_8 - Ar_14 >= 0 /\ -Ar_8 - Ar_14 >= 0 /\ Ar_6 - Ar_14 + 3 >= 0 /\ -Ar_6 - Ar_14 - 3 >= 0 /\ Ar_14 >= 0 /\ Ar_12 + Ar_14 - 3 >= 0 /\ -Ar_12 + Ar_14 + 3 >= 0 /\ Ar_8 + Ar_14 >= 0 /\ -Ar_8 + Ar_14 >= 0 /\ Ar_6 + Ar_14 + 3 >= 0 /\ -Ar_6 + Ar_14 - 3 >= 0 /\ -Ar_12 + 3 >= 0 /\ Ar_8 - Ar_12 + 3 >= 0 /\ -Ar_8 - Ar_12 + 3 >= 0 /\ Ar_6 - Ar_12 + 6 >= 0 /\ -Ar_6 - Ar_12 >= 0 /\ Ar_12 - 3 >= 0 /\ Ar_8 + Ar_12 - 3 >= 0 /\ -Ar_8 + Ar_12 - 3 >= 0 /\ Ar_6 + Ar_12 >= 0 /\ -Ar_6 + Ar_12 - 6 >= 0 /\ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 /\ Ar_12 >= 1 /\ Ar_12 >= Ar_14 ]
		(Comp: 1, Cost: 1)    f25(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f33(Ar_6, Ar_8, Ar_12, Ar_14)) [ -Ar_8 >= 0 /\ Ar_6 - Ar_8 + 3 >= 0 /\ -Ar_6 - Ar_8 - 3 >= 0 /\ Ar_8 >= 0 /\ Ar_6 + Ar_8 + 3 >= 0 /\ -Ar_6 + Ar_8 - 3 >= 0 /\ -Ar_6 - 3 >= 0 /\ Ar_6 + 3 >= 0 /\ Ar_8 >= Ar_6 + 1 ]
		(Comp: 1, Cost: 1)    f18(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f25(-3, 0, Ar_12, Ar_14))
		(Comp: 1, Cost: 1)    f0(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f18(Ar_6, Ar_8, Ar_12, Ar_14))
		(Comp: 1, Cost: 0)    koat_start(Ar_6, Ar_8, Ar_12, Ar_14) -> Com_1(f0(Ar_6, Ar_8, Ar_12, Ar_14)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.131 sec (SMT: 0.096 sec)
