
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5))
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f400(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, Fresh_27, 1, Ar_5)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, Fresh_23, 1, 0)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Fresh_19, Ar_2, Ar_5)) [ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Fresh_17, Ar_2, 0)) [ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Fresh_15, Ar_2, Ar_5)) [ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Fresh_13, Ar_2, 0)) [ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5)) [ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Fresh_11, Ar_2 - 1, Ar_5)) [ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Fresh_9, Ar_2 - 1, 0)) [ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_3, Ar_2, Ar_5)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_3, Ar_2, 1)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Fresh_7, Ar_4, Ar_5)) [ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Fresh_5, Ar_4, 0)) [ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_2, Ar_5)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_3 + 1, Ar_2, 1)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Fresh_3, Ar_4, Ar_5)) [ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Fresh_1, Ar_4, 0)) [ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 1)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5)) [ 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].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f400(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 >= Ar_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) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f400(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4))
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(koat_start) = 1
	Pol(f2) = 1
	Pol(f73) = 1
	Pol(f13) = 1
	Pol(f71) = 1
	Pol(f63) = 1
	Pol(f61) = 1
	Pol(f53) = 1
	Pol(f6) = 1
	Pol(f43) = 1
	Pol(f33) = 1
	Pol(f4) = 1
	Pol(f23) = 1
	Pol(f400) = 0
	Pol(f14) = 0
orients all transitions weakly and the transitions
	f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 >= Ar_0 ]
	f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f400(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f400(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4))
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 >= Ar_0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 4 to obtain the following invariants:
  For symbol f13: X_3 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
  For symbol f23: -X_4 + 1 >= 0 /\ X_3 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ X_3 - 1 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_1 - 1 >= 0
  For symbol f33: X_3 - X_4 >= 0 /\ X_1 >= 0
  For symbol f4: X_3 - X_4 >= 0
  For symbol f43: -X_4 >= 0 /\ X_3 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_1 >= 0
  For symbol f53: X_3 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 >= 0
  For symbol f6: X_3 - X_4 >= 0 /\ X_1 >= 0
  For symbol f61: X_3 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
  For symbol f63: X_3 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
  For symbol f71: X_3 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
  For symbol f73: X_3 - X_4 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0


This yielded the following problem:
5:	T:
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f400(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for unsatisfiable constraints removes the following transition from problem 5:
	f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f400(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_0 + 1 ]
We thus obtain the following problem:
6:	T:
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 6 produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ] with all transitions in problem 7, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
We thus obtain the following problem:
8:	T:
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f13(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ] with all transitions in problem 8, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
We thus obtain the following problem:
9:	T:
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 9:
	f13(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ] with all transitions in problem 10, the following new transitions are obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
We thus obtain the following problem:
11:	T:
		(Comp: ?, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: ?, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f73) = 1
	Pol(f33) = 1
	Pol(f14) = 0
	Pol(f4) = 1
	Pol(f71) = 1
	Pol(f63) = 1
	Pol(f61) = 1
	Pol(f53) = 1
	Pol(f43) = 1
	Pol(f6) = 1
	Pol(f23) = 1
	Pol(f2) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
strictly and produces the following problem:
12:	T:
		(Comp: ?, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ] with all transitions in problem 12, the following new transitions are obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 ]
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 ]
We thus obtain the following problem:
13:	T:
		(Comp: ?, Cost: 4)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 4)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 ] with all transitions in problem 13, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
We thus obtain the following problem:
14:	T:
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: ?, Cost: 4)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 ] with all transitions in problem 14, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
We thus obtain the following problem:
15:	T:
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ] with all transitions in problem 15, the following new transitions are obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 ]
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
We thus obtain the following problem:
16:	T:
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 ] with all transitions in problem 16, the following new transitions are obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 ]
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 ]
We thus obtain the following problem:
17:	T:
		(Comp: ?, Cost: 7)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 ]
		(Comp: ?, Cost: 7)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 ] with all transitions in problem 17, the following new transitions are obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 ]
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 ]
We thus obtain the following problem:
18:	T:
		(Comp: ?, Cost: 8)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 ]
		(Comp: ?, Cost: 8)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 ]
		(Comp: ?, Cost: 7)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 ] with all transitions in problem 18, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
We thus obtain the following problem:
19:	T:
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 8)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 ]
		(Comp: ?, Cost: 7)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_4, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 ] with all transitions in problem 19, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
We thus obtain the following problem:
20:	T:
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 7)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 ] with all transitions in problem 20, the following new transitions are obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 ]
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 ]
We thus obtain the following problem:
21:	T:
		(Comp: ?, Cost: 8)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 ]
		(Comp: ?, Cost: 8)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 ] with all transitions in problem 21, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ]
We thus obtain the following problem:
22:	T:
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ]
		(Comp: ?, Cost: 8)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0 - 1, Ar_0 - 1, Fresh_6, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 ] with all transitions in problem 22, the following new transition is obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ]
We thus obtain the following problem:
23:	T:
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 9)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 6)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)    f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ] with all transitions in problem 23, the following new transitions are obtained:
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 /\ Fresh_2 - Fresh_6 >= 0 /\ Fresh_2 + Fresh_6 >= 0 /\ Fresh_2 >= 0 /\ Ar_0 + Fresh_2 - 1 >= 0 /\ Fresh_2 >= Fresh_6 + 1 ]
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 /\ Fresh_2 - Fresh_6 >= 0 /\ Fresh_2 + Fresh_6 >= 0 /\ Fresh_2 >= 0 /\ Ar_0 + Fresh_2 - 1 >= 0 /\ Fresh_6 >= Fresh_2 ]
We thus obtain the following problem:
24:	T:
		(Comp: ?, Cost: 12)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 /\ Fresh_2 - Fresh_6 >= 0 /\ Fresh_2 + Fresh_6 >= 0 /\ Fresh_2 >= 0 /\ Ar_0 + Fresh_2 - 1 >= 0 /\ Fresh_2 >= Fresh_6 + 1 ]
		(Comp: ?, Cost: 11)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 /\ Fresh_2 - Fresh_6 >= 0 /\ Fresh_2 + Fresh_6 >= 0 /\ Fresh_2 >= 0 /\ Ar_0 + Fresh_2 - 1 >= 0 /\ Fresh_6 >= Fresh_2 ]
		(Comp: ?, Cost: 9)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ]
		(Comp: ?, Cost: 9)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 9)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 6)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)     f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)     f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(f73) = 1
	Pol(f14) = 0
	Pol(f4) = 1
	Pol(f61) = 1
	Pol(f53) = 1
	Pol(f71) = 1
	Pol(f63) = 1
	Pol(f43) = 1
	Pol(f6) = 1
	Pol(f33) = 1
	Pol(f23) = 1
	Pol(f2) = 1
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 /\ Fresh_2 - Fresh_6 >= 0 /\ Fresh_2 + Fresh_6 >= 0 /\ Fresh_2 >= 0 /\ Ar_0 + Fresh_2 - 1 >= 0 /\ Fresh_2 >= Fresh_6 + 1 ]
strictly and produces the following problem:
25:	T:
		(Comp: 1, Cost: 12)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 /\ Fresh_2 - Fresh_6 >= 0 /\ Fresh_2 + Fresh_6 >= 0 /\ Fresh_2 >= 0 /\ Ar_0 + Fresh_2 - 1 >= 0 /\ Fresh_2 >= Fresh_6 + 1 ]
		(Comp: ?, Cost: 11)    f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_8 >= Fresh_6 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 /\ Fresh_2 - Fresh_6 >= 0 /\ Fresh_2 + Fresh_6 >= 0 /\ Fresh_2 >= 0 /\ Ar_0 + Fresh_2 - 1 >= 0 /\ Fresh_6 >= Fresh_2 ]
		(Comp: ?, Cost: 9)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_2, Fresh_6)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ 0 >= Ar_0 - 1 /\ Fresh_6 >= Fresh_8 /\ Fresh_6 - Fresh_8 >= 0 /\ Fresh_6 + Fresh_8 >= 0 /\ Fresh_6 >= 0 /\ Ar_0 + Fresh_6 - 1 >= 0 /\ Fresh_6 >= Fresh_8 + 1 /\ 2*Fresh_6 >= 0 /\ Fresh_2 >= Fresh_6 ]
		(Comp: ?, Cost: 9)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_8 >= Fresh_4 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 9)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0 - 1, Ar_0 - 1, Fresh_0, Fresh_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_8 >= Fresh_16 /\ 0 >= 0 /\ 2*Fresh_8 >= 0 /\ 2*Ar_0 - 2 >= 0 /\ Ar_0 - 1 >= 1 /\ Fresh_4 >= Fresh_8 /\ Fresh_4 - Fresh_8 >= 0 /\ Fresh_4 + Fresh_8 >= 0 /\ Fresh_4 >= 0 /\ Ar_0 + Fresh_4 - 1 >= 0 /\ Fresh_4 >= Fresh_8 + 1 /\ 2*Fresh_4 >= 0 /\ Fresh_0 >= Fresh_4 ]
		(Comp: ?, Cost: 6)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0 - 1, Ar_0 - 1, Fresh_8, Fresh_8)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Fresh_16 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 /\ Fresh_8 - Fresh_16 + 1 >= 0 /\ Fresh_16 - 1 >= 0 /\ Fresh_8 + Fresh_16 - 1 >= 0 /\ Ar_0 + Fresh_16 - 2 >= 0 /\ Fresh_8 >= 0 /\ Ar_0 + Fresh_8 - 1 >= 0 /\ Fresh_16 - 1 >= Fresh_8 ]
		(Comp: ?, Cost: 5)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0 - 1, Ar_1, Fresh_8, Fresh_16 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 /\ Fresh_16 - Ar_2 >= 0 /\ Ar_0 - 1 >= 0 /\ Fresh_16 >= Ar_2 + 1 /\ Fresh_8 + 1 >= Fresh_16 /\ Fresh_16 >= 1 ]
		(Comp: 1, Cost: 3)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 /\ 0 >= Ar_0 ]
		(Comp: 1, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f14(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ 0 >= Ar_0 ]
		(Comp: ?, Cost: 2)     f73(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_0, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_0 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f71(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f73(Ar_0, Ar_1, Fresh_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_2 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_4, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= 1 /\ Fresh_4 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f61(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f63(Ar_0, Ar_1, Fresh_6, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ -Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 0 /\ 0 >= Ar_1 /\ Fresh_6 >= Ar_4 ]
		(Comp: ?, Cost: 1)     f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f53(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f61(Ar_0, Ar_0, Ar_2, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_0 + Ar_4 >= 0 /\ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f43(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_2)) [ -Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 = Ar_4 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_8, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_8 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f53(Ar_0, Ar_1, Fresh_10, Ar_2 - 1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_10 + 1 >= Ar_2 /\ Ar_2 >= 1 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_12, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_12 >= Ar_2 /\ 0 >= Ar_2 /\ Ar_1 >= 1 ]
		(Comp: ?, Cost: 1)     f6(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f43(Ar_0, Ar_1, Fresh_14, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Fresh_14 >= Ar_2 /\ 0 >= Ar_2 /\ 0 >= Ar_1 ]
		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f6(Ar_0, Ar_1, Ar_2, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: ?, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_16, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_16 >= Ar_2 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]
		(Comp: 4, Cost: 1)     f4(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f33(Ar_0 - 1, Ar_1, Fresh_18, Ar_2)) [ Ar_2 - Ar_4 >= 0 /\ Fresh_18 >= Ar_2 /\ 0 >= Ar_1 /\ Ar_0 >= 1 ]
		(Comp: 2, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= Ar_4 + 1 ]
		(Comp: 2, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f4(Ar_0, Ar_1, Ar_2, Ar_4)) [ -Ar_4 + 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_2 ]
		(Comp: 1, Cost: 1)     f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_20, Fresh_21, Fresh_22, 1)) [ Fresh_20 >= 1 /\ Fresh_22 >= 1 /\ Fresh_21 >= 1 ]
		(Comp: 1, Cost: 1)     f2(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f23(Fresh_24, Fresh_25, Fresh_26, 1)) [ Fresh_24 >= 1 /\ Fresh_26 >= 1 /\ 0 >= Fresh_25 ]
		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_4) -> Com_1(f2(Ar_0, Ar_1, Ar_2, Ar_4)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 3.885 sec (SMT: 2.841 sec)
