
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f5(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f5(Ar_0 + 1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 99 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    f17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f17(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= H + 1 ]
		(Comp: ?, Cost: 1)    f17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f17(Ar_0, Ar_1 + 1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f32(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= H + 1 ]
		(Comp: ?, Cost: 1)    f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f32(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    f32(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5, Ar_6))
		(Comp: ?, Cost: 1)    f17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f32(Ar_0, Ar_1, Ar_1, Ar_1, Ar_4, Ar_1, Fresh_2)) [ 0 >= I + 1 ]
		(Comp: ?, Cost: 1)    f17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f32(Ar_0, Ar_1, Ar_1, Ar_1, Ar_4, Ar_1, Fresh_1))
		(Comp: ?, Cost: 1)    f17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_1, Ar_4, Ar_1, Fresh_0))
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_0 - 2, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 100 ]
		(Comp: ?, Cost: 1)    f5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f17(Ar_0, Ar_0 - 2, Ar_2, Ar_0 - 2, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 + 1 /\ Ar_0 >= 100 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 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].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f17(Ar_0)) [ 0 >= Ar_0 + 1 /\ Ar_0 >= 100 ]
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f13(Ar_0)) [ Ar_0 >= 100 ]
		(Comp: ?, Cost: 1)    f17(Ar_0) -> Com_1(f13(Ar_0))
		(Comp: ?, Cost: 1)    f17(Ar_0) -> Com_1(f32(Ar_0))
		(Comp: ?, Cost: 1)    f17(Ar_0) -> Com_1(f32(Ar_0)) [ 0 >= I + 1 ]
		(Comp: ?, Cost: 1)    f32(Ar_0) -> Com_1(f13(Ar_0))
		(Comp: ?, Cost: 1)    f32(Ar_0) -> Com_1(f32(Ar_0))
		(Comp: ?, Cost: 1)    f32(Ar_0) -> Com_1(f32(Ar_0)) [ 0 >= H + 1 ]
		(Comp: ?, Cost: 1)    f32(Ar_0) -> Com_1(f32(Ar_0))
		(Comp: ?, Cost: 1)    f17(Ar_0) -> Com_1(f17(Ar_0))
		(Comp: ?, Cost: 1)    f17(Ar_0) -> Com_1(f17(Ar_0)) [ 0 >= H + 1 ]
		(Comp: ?, Cost: 1)    f17(Ar_0) -> Com_1(f17(Ar_0))
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f5(Ar_0 + 1)) [ 99 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0) -> Com_1(f5(0))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 2:
	f5(Ar_0) -> Com_1(f17(Ar_0)) [ 0 >= Ar_0 + 1 /\ Ar_0 >= 100 ]
	f17(Ar_0) -> Com_1(f13(Ar_0))
	f17(Ar_0) -> Com_1(f32(Ar_0))
	f17(Ar_0) -> Com_1(f32(Ar_0)) [ 0 >= I + 1 ]
	f32(Ar_0) -> Com_1(f13(Ar_0))
	f32(Ar_0) -> Com_1(f32(Ar_0))
	f32(Ar_0) -> Com_1(f32(Ar_0)) [ 0 >= H + 1 ]
	f32(Ar_0) -> Com_1(f32(Ar_0))
	f17(Ar_0) -> Com_1(f17(Ar_0))
	f17(Ar_0) -> Com_1(f17(Ar_0)) [ 0 >= H + 1 ]
	f17(Ar_0) -> Com_1(f17(Ar_0))
We thus obtain the following problem:
3:	T:
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f13(Ar_0)) [ Ar_0 >= 100 ]
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f5(Ar_0 + 1)) [ 99 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f0(Ar_0) -> Com_1(f5(0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4:	T:
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f13(Ar_0)) [ Ar_0 >= 100 ]
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f5(Ar_0 + 1)) [ 99 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f0(Ar_0) -> Com_1(f5(0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f5) = 1
	Pol(f13) = 0
	Pol(f0) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f5(Ar_0) -> Com_1(f13(Ar_0)) [ Ar_0 >= 100 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)    f5(Ar_0) -> Com_1(f13(Ar_0)) [ Ar_0 >= 100 ]
		(Comp: ?, Cost: 1)    f5(Ar_0) -> Com_1(f5(Ar_0 + 1)) [ 99 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f0(Ar_0) -> Com_1(f5(0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f5) = -V_1 + 100
	Pol(f13) = -V_1
	Pol(f0) = 100
	Pol(koat_start) = 100
orients all transitions weakly and the transition
	f5(Ar_0) -> Com_1(f5(Ar_0 + 1)) [ 99 >= Ar_0 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)      f5(Ar_0) -> Com_1(f13(Ar_0)) [ Ar_0 >= 100 ]
		(Comp: 100, Cost: 1)    f5(Ar_0) -> Com_1(f5(Ar_0 + 1)) [ 99 >= Ar_0 ]
		(Comp: 1, Cost: 1)      f0(Ar_0) -> Com_1(f5(0))
		(Comp: 1, Cost: 0)      koat_start(Ar_0) -> Com_1(f0(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 102

Time: 0.026 sec (SMT: 0.024 sec)
