
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) -> Com_1(f11(100, Fresh_8, 1, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13))
		(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) -> Com_1(f11(100, Fresh_7, 0, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13))
		(Comp: ?, Cost: 1)    f11(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) -> Com_1(f23(Ar_0, Ar_1, 1, 1, 1, 100, Fresh_6, 1, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13)) [ Ar_2 = 1 ]
		(Comp: ?, Cost: 1)    f11(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) -> Com_1(f23(Ar_0, Ar_1, 1, 1, 1, 100, Fresh_5, 0, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13)) [ Ar_2 = 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) -> Com_1(f26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_7, Ar_5, Ar_6, Ar_7, 100, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13)) [ 0 >= Ar_7 ]
		(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) -> Com_1(f26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_7, Ar_5, Ar_6, Ar_7, 100, Ar_9, Ar_10, Ar_11, Ar_12, Ar_13)) [ Ar_7 >= 2 ]
		(Comp: ?, Cost: 1)    f11(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) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5, Ar_6, Ar_7, Ar_8, 100, Ar_10, Ar_11, Ar_12, Ar_13)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f11(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) -> Com_1(f36(Ar_0, Ar_1, Ar_2, Ar_2, Ar_2, Ar_5, Ar_6, Ar_7, Ar_8, 100, Ar_10, Ar_11, Ar_12, Ar_13)) [ Ar_2 >= 2 ]
		(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) -> Com_1(f32(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, 1, Ar_8, Ar_9, Fresh_3, Fresh_4, Ar_12, Ar_13)) [ 0 >= Fresh_3 + 2 /\ Ar_7 = 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) -> Com_1(f32(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, 1, Ar_8, Ar_9, Fresh_1, Fresh_2, Ar_12, Ar_13)) [ Fresh_1 >= 0 /\ Ar_7 = 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) -> Com_1(f32(Ar_0, Ar_1, Ar_2, Ar_3, 1, Ar_5, Ar_6, 1, Ar_8, Ar_9, -1, Ar_11, 100, Fresh_0)) [ Ar_7 = 1 ]
		(Comp: ?, Cost: 1)    f36(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) -> Com_1(f32(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)) [ 0 >= O + 1 ]
		(Comp: ?, Cost: 1)    f36(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) -> Com_1(f32(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))
		(Comp: ?, Cost: 1)    f26(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) -> Com_1(f32(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)) [ 0 >= O + 1 ]
		(Comp: ?, Cost: 1)    f26(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) -> Com_1(f32(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))
		(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) -> 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)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_2, Ar_7].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_2, Ar_7) -> Com_1(f0(Ar_2, Ar_7)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f26(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7))
		(Comp: ?, Cost: 1)    f26(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7)) [ 0 >= O + 1 ]
		(Comp: ?, Cost: 1)    f36(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7))
		(Comp: ?, Cost: 1)    f36(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7)) [ 0 >= O + 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ Ar_7 = 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ Fresh_1 >= 0 /\ Ar_7 = 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ 0 >= Fresh_3 + 2 /\ Ar_7 = 1 ]
		(Comp: ?, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f36(Ar_2, Ar_7)) [ Ar_2 >= 2 ]
		(Comp: ?, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f36(Ar_2, Ar_7)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f26(Ar_2, Ar_7)) [ Ar_7 >= 2 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f26(Ar_2, Ar_7)) [ 0 >= Ar_7 ]
		(Comp: ?, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f23(1, 0)) [ Ar_2 = 1 ]
		(Comp: ?, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f23(1, 1)) [ Ar_2 = 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_2, Ar_7) -> Com_1(f11(0, Ar_7))
		(Comp: ?, Cost: 1)    f0(Ar_2, Ar_7) -> Com_1(f11(1, Ar_7))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transitions from problem 2:
	f11(Ar_2, Ar_7) -> Com_1(f36(Ar_2, Ar_7)) [ Ar_2 >= 2 ]
	f23(Ar_2, Ar_7) -> Com_1(f26(Ar_2, Ar_7)) [ Ar_7 >= 2 ]
We thus obtain the following problem:
3:	T:
		(Comp: ?, Cost: 1)    f26(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7)) [ 0 >= O + 1 ]
		(Comp: ?, Cost: 1)    f26(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7))
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ 0 >= Fresh_3 + 2 /\ Ar_7 = 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ Fresh_1 >= 0 /\ Ar_7 = 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ Ar_7 = 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f26(Ar_2, Ar_7)) [ 0 >= Ar_7 ]
		(Comp: ?, Cost: 1)    f36(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7)) [ 0 >= O + 1 ]
		(Comp: ?, Cost: 1)    f36(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7))
		(Comp: ?, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f23(1, 1)) [ Ar_2 = 1 ]
		(Comp: ?, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f23(1, 0)) [ Ar_2 = 1 ]
		(Comp: ?, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f36(Ar_2, Ar_7)) [ 0 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f0(Ar_2, Ar_7) -> Com_1(f11(1, Ar_7))
		(Comp: ?, Cost: 1)    f0(Ar_2, Ar_7) -> Com_1(f11(0, Ar_7))
		(Comp: 1, Cost: 0)    koat_start(Ar_2, Ar_7) -> Com_1(f0(Ar_2, Ar_7)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)    f26(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7)) [ 0 >= O + 1 ]
		(Comp: 1, Cost: 1)    f26(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7))
		(Comp: 1, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ 0 >= Fresh_3 + 2 /\ Ar_7 = 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ Fresh_1 >= 0 /\ Ar_7 = 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f32(Ar_2, 1)) [ Ar_7 = 1 ]
		(Comp: 1, Cost: 1)    f23(Ar_2, Ar_7) -> Com_1(f26(Ar_2, Ar_7)) [ 0 >= Ar_7 ]
		(Comp: 1, Cost: 1)    f36(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7)) [ 0 >= O + 1 ]
		(Comp: 1, Cost: 1)    f36(Ar_2, Ar_7) -> Com_1(f32(Ar_2, Ar_7))
		(Comp: 1, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f23(1, 1)) [ Ar_2 = 1 ]
		(Comp: 1, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f23(1, 0)) [ Ar_2 = 1 ]
		(Comp: 1, Cost: 1)    f11(Ar_2, Ar_7) -> Com_1(f36(Ar_2, Ar_7)) [ 0 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f0(Ar_2, Ar_7) -> Com_1(f11(1, Ar_7))
		(Comp: 1, Cost: 1)    f0(Ar_2, Ar_7) -> Com_1(f11(0, Ar_7))
		(Comp: 1, Cost: 0)    koat_start(Ar_2, Ar_7) -> Com_1(f0(Ar_2, Ar_7)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 13

Time: 0.024 sec (SMT: 0.018 sec)
