
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12))
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f2(0, Fresh_28, Fresh_29, 3, Fresh_30, 0, Fresh_28, Fresh_29, 3, Fresh_30, 2, Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f2(0, Fresh_24, Fresh_25, Fresh_26, Fresh_27, 0, Fresh_24, Fresh_25, Fresh_26, Fresh_27, 2, Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f1(Fresh_20, Fresh_21, Fresh_22, 2, Fresh_23, Fresh_20, Fresh_21, Fresh_22, 2, Fresh_23, 1, Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f1(Fresh_16, Fresh_17, Fresh_18, 2, Fresh_19, Fresh_16, Fresh_17, Fresh_18, 2, Fresh_19, 1, Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f1(Fresh_12, Fresh_13, Fresh_14, 2, Fresh_15, Fresh_12, Fresh_13, Fresh_14, 2, Fresh_15, 1, Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f1(Fresh_8, Fresh_9, Fresh_10, 2, Fresh_11, Fresh_8, Fresh_9, Fresh_10, 2, Fresh_11, 1, Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f4(Fresh_4, Fresh_5, Fresh_6, Fresh_7, 2, Fresh_4, Fresh_5, Fresh_6, Fresh_7, 2, 4, Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f4(Fresh_0, Fresh_1, Fresh_2, Fresh_3, 7, Fresh_0, Fresh_1, Fresh_2, Fresh_3, 7, 4, Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_11, Ar_12].
We thus obtain the following problem:
2:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_11, Ar_12) -> Com_1(f0(Ar_11, Ar_12)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f0(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12))
	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_11, Ar_12) -> Com_1(f0(Ar_11, Ar_12)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12))
	start location:	koat_start
	leaf cost:	0

By chaining the transition koat_start(Ar_11, Ar_12) -> Com_1(f0(Ar_11, Ar_12)) [ 0 <= 0 ] with all transitions in problem 3, the following new transition is obtained:
	koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
We thus obtain the following problem:
4:	T:
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: 1, Cost: 1)    f0(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12))
	start location:	koat_start
	leaf cost:	0

Testing for reachability in the complexity graph removes the following transition from problem 4:
	f0(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12))
We thus obtain the following problem:
5:	T:
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 ] with all transitions in problem 5, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
We thus obtain the following problem:
6:	T:
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ] with all transitions in problem 6, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 ]
We thus obtain the following problem:
7:	T:
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 ] with all transitions in problem 7, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 ]
We thus obtain the following problem:
8:	T:
		(Comp: ?, Cost: 4)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 ]
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 ] with all transitions in problem 8, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 ]
We thus obtain the following problem:
9:	T:
		(Comp: ?, Cost: 5)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 ]
		(Comp: ?, Cost: 4)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 ] with all transitions in problem 9, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 ]
We thus obtain the following problem:
10:	T:
		(Comp: ?, Cost: 6)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 ]
		(Comp: ?, Cost: 5)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 ] with all transitions in problem 10, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 ]
We thus obtain the following problem:
11:	T:
		(Comp: ?, Cost: 7)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 ]
		(Comp: ?, Cost: 6)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 ] with all transitions in problem 11, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 ]
We thus obtain the following problem:
12:	T:
		(Comp: ?, Cost: 8)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 8)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 ]
		(Comp: ?, Cost: 7)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 ] with all transitions in problem 12, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 ]
We thus obtain the following problem:
13:	T:
		(Comp: ?, Cost: 9)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 9)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 ]
		(Comp: ?, Cost: 8)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)    f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)    f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)    koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 ] with all transitions in problem 13, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 ]
We thus obtain the following problem:
14:	T:
		(Comp: ?, Cost: 10)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 10)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 ]
		(Comp: ?, Cost: 9)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 8)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 ] with all transitions in problem 14, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 ]
We thus obtain the following problem:
15:	T:
		(Comp: ?, Cost: 11)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 11)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 ]
		(Comp: ?, Cost: 10)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 9)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 8)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 ] with all transitions in problem 15, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 ]
We thus obtain the following problem:
16:	T:
		(Comp: ?, Cost: 12)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 12)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 ]
		(Comp: ?, Cost: 11)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 10)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 9)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 8)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 ] with all transitions in problem 16, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 ]
We thus obtain the following problem:
17:	T:
		(Comp: ?, Cost: 13)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 13)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 ]
		(Comp: ?, Cost: 12)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 11)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 10)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 9)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 8)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 ] with all transitions in problem 17, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ R''''''''''''' >= 1 /\ 7 >= R''''''''''''' /\ S''''''''''''' >= 1 /\ 7 >= S''''''''''''' /\ Fresh_23'''''''''''' >= 1 /\ 7 >= Fresh_23'''''''''''' /\ 1 >= Fresh_20'''''''''''' /\ Fresh_20'''''''''''' >= 0 ]
We thus obtain the following problem:
18:	T:
		(Comp: ?, Cost: 14)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 14)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ R''''''''''''' >= 1 /\ 7 >= R''''''''''''' /\ S''''''''''''' >= 1 /\ 7 >= S''''''''''''' /\ Fresh_23'''''''''''' >= 1 /\ 7 >= Fresh_23'''''''''''' /\ 1 >= Fresh_20'''''''''''' /\ Fresh_20'''''''''''' >= 0 ]
		(Comp: ?, Cost: 13)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 12)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 11)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 10)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 9)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 8)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ R''''''''''''' >= 1 /\ 7 >= R''''''''''''' /\ S''''''''''''' >= 1 /\ 7 >= S''''''''''''' /\ Fresh_23'''''''''''' >= 1 /\ 7 >= Fresh_23'''''''''''' /\ 1 >= Fresh_20'''''''''''' /\ Fresh_20'''''''''''' >= 0 ] with all transitions in problem 18, the following new transitions are obtained:
	f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ R''''''''''''' >= 1 /\ 7 >= R''''''''''''' /\ S''''''''''''' >= 1 /\ 7 >= S''''''''''''' /\ Fresh_23'''''''''''' >= 1 /\ 7 >= Fresh_23'''''''''''' /\ 1 >= Fresh_20'''''''''''' /\ Fresh_20'''''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
	f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ R''''''''''''' >= 1 /\ 7 >= R''''''''''''' /\ S''''''''''''' >= 1 /\ 7 >= S''''''''''''' /\ Fresh_23'''''''''''' >= 1 /\ 7 >= Fresh_23'''''''''''' /\ 1 >= Fresh_20'''''''''''' /\ Fresh_20'''''''''''' >= 0 /\ R'''''''''''''' >= 1 /\ 7 >= R'''''''''''''' /\ S'''''''''''''' >= 1 /\ 7 >= S'''''''''''''' /\ Fresh_23''''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''''' /\ 1 >= Fresh_20''''''''''''' /\ Fresh_20''''''''''''' >= 0 ]
We thus obtain the following problem:
19:	T:
		(Comp: ?, Cost: 15)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ R''''''''''''' >= 1 /\ 7 >= R''''''''''''' /\ S''''''''''''' >= 1 /\ 7 >= S''''''''''''' /\ Fresh_23'''''''''''' >= 1 /\ 7 >= Fresh_23'''''''''''' /\ 1 >= Fresh_20'''''''''''' /\ Fresh_20'''''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 15)    f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ R''''''''''''' >= 1 /\ 7 >= R''''''''''''' /\ S''''''''''''' >= 1 /\ 7 >= S''''''''''''' /\ Fresh_23'''''''''''' >= 1 /\ 7 >= Fresh_23'''''''''''' /\ 1 >= Fresh_20'''''''''''' /\ Fresh_20'''''''''''' >= 0 /\ R'''''''''''''' >= 1 /\ 7 >= R'''''''''''''' /\ S'''''''''''''' >= 1 /\ 7 >= S'''''''''''''' /\ Fresh_23''''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''''' /\ 1 >= Fresh_20''''''''''''' /\ Fresh_20''''''''''''' >= 0 ]
		(Comp: ?, Cost: 14)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ R'''''''''''' >= 1 /\ 7 >= R'''''''''''' /\ S'''''''''''' >= 1 /\ 7 >= S'''''''''''' /\ Fresh_23''''''''''' >= 1 /\ 7 >= Fresh_23''''''''''' /\ 1 >= Fresh_20''''''''''' /\ Fresh_20''''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 13)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ R''''''''''' >= 1 /\ 7 >= R''''''''''' /\ S''''''''''' >= 1 /\ 7 >= S''''''''''' /\ Fresh_23'''''''''' >= 1 /\ 7 >= Fresh_23'''''''''' /\ 1 >= Fresh_20'''''''''' /\ Fresh_20'''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 12)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ R'''''''''' >= 1 /\ 7 >= R'''''''''' /\ S'''''''''' >= 1 /\ 7 >= S'''''''''' /\ Fresh_23''''''''' >= 1 /\ 7 >= Fresh_23''''''''' /\ 1 >= Fresh_20''''''''' /\ Fresh_20''''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 11)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ R''''''''' >= 1 /\ 7 >= R''''''''' /\ S''''''''' >= 1 /\ 7 >= S''''''''' /\ Fresh_23'''''''' >= 1 /\ 7 >= Fresh_23'''''''' /\ 1 >= Fresh_20'''''''' /\ Fresh_20'''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 10)    f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ R'''''''' >= 1 /\ 7 >= R'''''''' /\ S'''''''' >= 1 /\ 7 >= S'''''''' /\ Fresh_23''''''' >= 1 /\ 7 >= Fresh_23''''''' /\ 1 >= Fresh_20''''''' /\ Fresh_20''''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 9)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ R''''''' >= 1 /\ 7 >= R''''''' /\ S''''''' >= 1 /\ 7 >= S''''''' /\ Fresh_23'''''' >= 1 /\ 7 >= Fresh_23'''''' /\ 1 >= Fresh_20'''''' /\ Fresh_20'''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 8)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ R'''''' >= 1 /\ 7 >= R'''''' /\ S'''''' >= 1 /\ 7 >= S'''''' /\ Fresh_23''''' >= 1 /\ 7 >= Fresh_23''''' /\ 1 >= Fresh_20''''' /\ Fresh_20''''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 7)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ R''''' >= 1 /\ 7 >= R''''' /\ S''''' >= 1 /\ 7 >= S''''' /\ Fresh_23'''' >= 1 /\ 7 >= Fresh_23'''' /\ 1 >= Fresh_20'''' /\ Fresh_20'''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 6)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ R'''' >= 1 /\ 7 >= R'''' /\ S'''' >= 1 /\ 7 >= S'''' /\ Fresh_23''' >= 1 /\ 7 >= Fresh_23''' /\ 1 >= Fresh_20''' /\ Fresh_20''' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 5)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ R''' >= 1 /\ 7 >= R''' /\ S''' >= 1 /\ 7 >= S''' /\ Fresh_23'' >= 1 /\ 7 >= Fresh_23'' /\ 1 >= Fresh_20'' /\ Fresh_20'' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 4)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ R'' >= 1 /\ 7 >= R'' /\ S'' >= 1 /\ 7 >= S'' /\ Fresh_23' >= 1 /\ 7 >= Fresh_23' /\ 1 >= Fresh_20' /\ Fresh_20' >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 3)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ R' >= 1 /\ 7 >= R' /\ S' >= 1 /\ 7 >= S' /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 2)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ R >= Ar_11 /\ S >= Ar_12 /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_15 >= 1 /\ 7 >= Fresh_15 /\ 1 >= Fresh_12 /\ Fresh_12 >= 0 /\ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ Ar_11 >= 1 /\ Ar_11 >= Fresh_25 + 1 /\ Ar_12 >= 1 /\ Ar_12 >= Fresh_24 + 1 /\ 7 >= Fresh_27 /\ 7 >= Fresh_26 /\ Fresh_27 >= 1 /\ Fresh_26 >= 1 ]
		(Comp: ?, Cost: 1)     f4(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_11 >= 1 /\ 7 >= Fresh_11 /\ 1 >= Fresh_8 /\ Fresh_8 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_19 >= 1 /\ 7 >= Fresh_19 /\ 1 >= Fresh_16 /\ Fresh_16 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_7 >= 1 /\ 7 >= Fresh_7 /\ 1 >= Fresh_4 /\ Fresh_4 >= 0 ]
		(Comp: ?, Cost: 1)     f2(Ar_11, Ar_12) -> Com_1(f4(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ T >= 1 /\ 7 >= T /\ U >= 1 /\ 7 >= U /\ Fresh_3 >= 1 /\ 7 >= Fresh_3 /\ 1 >= Fresh_0 /\ Fresh_0 >= 0 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f2(Ar_11, Ar_12)) [ 7 >= Fresh_30 /\ Fresh_30 >= 1 ]
		(Comp: ?, Cost: 1)     f1(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ R >= 1 /\ 7 >= R /\ S >= 1 /\ 7 >= S /\ Fresh_23 >= 1 /\ 7 >= Fresh_23 /\ 1 >= Fresh_20 /\ Fresh_20 >= 0 ]
		(Comp: 1, Cost: 1)     koat_start(Ar_11, Ar_12) -> Com_1(f1(Ar_11, Ar_12)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 6.893 sec (SMT: 3.055 sec)
