/export/starexec/sandbox/solver/bin/starexec_run_complexity /export/starexec/sandbox/benchmark/theBenchmark.koat /export/starexec/sandbox/output/output_files


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WORST_CASE(?, O(1))
proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1).

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 606 ms]
(2) BOUNDS(1, 1)


----------------------------------------

(0)
Obligation:
Complexity Int TRS consisting of the following rules:
f0(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f23(1, 1, 10, M, N, 0, G, H, I, J, K, L)) :|: TRUE
f23(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f23(A, B, C, D, E, F + 1, G, H, I, J, K, L)) :|: C >= F + 1
f29(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f33(A, B, C, D, E, F, 0, 0, I, J, K, L)) :|: C >= F + 1
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f33(A, B, C, D, E, F, 1, H + 1, 1, J, K, L)) :|: 0 >= G + 1 && C >= H + 1
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f33(A, B, C, D, E, F, 1, H + 1, 1, J, K, L)) :|: G >= 1 && C >= H + 1
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f33(A, B, C, D, E, F, 1, H + 1, 1, J, K, L)) :|: C >= H + 1 && G >= 0 && G <= 0
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f33(A, B, C, D, E, F, 0, H + 1, 0, J, K, L)) :|: M >= N + 1 && C >= H + 1 && G >= 0 && G <= 0
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f33(A, B, C, D, E, F, 0, H + 1, 0, J, K, L)) :|: C >= H + 1 && G >= 0 && G <= 0
f44(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f29(1, B, C, D, E, F + 1, G, H, I, 1, K, L)) :|: 0 >= G + 1
f44(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f29(1, B, C, D, E, F + 1, G, H, I, 1, K, L)) :|: G >= 1
f44(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f29(0, B, C, D, E, F + 1, 0, H, I, 0, K, L)) :|: G >= 0 && G <= 0
f52(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f55(A, B, C, D, E, F, G, H, I, J, K, L)) :|: 0 >= B + 1 && C >= 2 + F
f52(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f55(A, B, C, D, E, F, G, H, I, J, K, L)) :|: B >= 1 && C >= 2 + F
f55(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f52(A, 1, C, D, E, F + 1, G, H, I, J, 1, L)) :|: M >= N + 1
f55(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f52(A, 0, C, D, E, F + 1, G, H, I, J, 0, L)) :|: TRUE
f52(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f52(A, 0, C, D, E, F + 1, G, H, I, J, 0, L)) :|: C >= 2 + F && B >= 0 && B <= 0
f63(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f71(A, B, C, D, E, F, G, H, I, J, K, 0)) :|: 0 >= B + 1
f63(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f71(A, B, C, D, E, F, G, H, I, J, K, 0)) :|: B >= 1
f63(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f71(A, 0, C, D, E, F, G, H, I, J, K, 1)) :|: B >= 0 && B <= 0
f52(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f63(A, B, C, D, E, F, G, H, I, J, K, L)) :|: 0 >= A + 1 && F + 1 >= C
f52(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f63(A, B, C, D, E, F, G, H, I, J, K, L)) :|: A >= 1 && F + 1 >= C
f52(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f71(0, B, C, D, E, F, G, H, I, J, K, 1)) :|: F + 1 >= C && A >= 0 && A <= 0
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f44(A, B, C, D, E, F, G, H, I, J, K, L)) :|: 0 >= A + 1 && H >= C
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f44(A, B, C, D, E, F, G, H, I, J, K, L)) :|: A >= 1 && H >= C
f33(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f29(0, B, C, D, E, F + 1, G, H, I, 0, K, L)) :|: H >= C && A >= 0 && A <= 0
f29(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f52(A, B, C, D, E, 0, G, H, I, J, K, L)) :|: F >= C
f23(A, B, C, D, E, F, G, H, I, J, K, L) -> Com_1(f29(A, B, C, D, E, 0, G, H, I, J, K, L)) :|: F >= C

The start-symbols are:[f0_12]


----------------------------------------

(1) Koat Proof (FINISHED)
YES(?, 3005)



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) -> Com_1(f23(1, 1, 10, Fresh_0, Fresh_1, 0, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11))

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 0, 0, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 1, Ar_7 + 1, 1, Ar_9, Ar_10, Ar_11)) [ 0 >= Ar_6 + 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 1, Ar_7 + 1, 1, Ar_9, Ar_10, Ar_11)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 1, Ar_7 + 1, 1, Ar_9, Ar_10, Ar_11)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 0, Ar_7 + 1, 0, Ar_9, Ar_10, Ar_11)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, 0, Ar_7 + 1, 0, Ar_9, Ar_10, Ar_11)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f29(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, 1, Ar_10, Ar_11)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f29(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, 1, Ar_10, Ar_11)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f29(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, 0, Ar_7, Ar_8, 0, Ar_10, Ar_11)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f55(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_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, Ar_9, 1, Ar_11)) [ M >= N + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, Ar_9, 0, Ar_11))

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, Ar_9, 0, Ar_11)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, 0)) [ 0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, 0)) [ Ar_1 >= 1 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, 1)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f63(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_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f71(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, 1)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f44(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_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f29(0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 + 1, Ar_6, Ar_7, Ar_8, 0, Ar_10, Ar_11)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f52(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11) -> Com_1(f29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, 0, Ar_6, Ar_7, Ar_8, Ar_9, Ar_10, Ar_11)) [ Ar_5 >= Ar_2 ]

		(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) -> 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)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Slicing away variables that do not contribute to conditions from problem 1 leaves variables [Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7].

We thus obtain the following problem:

2:	T:

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ 0 >= Ar_6 + 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

	start location:	koat_start

	leaf cost:	0



Testing for reachability in the complexity graph removes the following transition from problem 2:

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ 0 >= Ar_6 + 1 /\ Ar_2 >= Ar_7 + 1 ]

We thus obtain the following problem:

3:	T:

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: ?, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 3 produces the following problem:

4:	T:

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: ?, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(f33) = 3

	Pol(f55) = 2

	Pol(f52) = 2

	Pol(f63) = 1

	Pol(f71) = 0

	Pol(f44) = 3

	Pol(f29) = 3

	Pol(f23) = 4

	Pol(f0) = 4

	Pol(koat_start) = 4

orients all transitions weakly and the transitions

	f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

	f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

	f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

	f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

	f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

	f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

	f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

	f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

strictly and produces the following problem:

5:	T:

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: 4, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: 4, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: 4, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: 4, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 4, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 4, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 5 produces the following problem:

6:	T:

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: ?, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: 4, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: 4, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: 4, Cost: 1)    f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 4, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: ?, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: 4, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 4, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 4, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)    f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(f33) = V_3 + 1

	Pol(f55) = V_3 - V_4

	Pol(f52) = V_3 - V_4 + 1

	Pol(f63) = V_3 - V_4

	Pol(f71) = V_3 - V_4

	Pol(f44) = V_3 + 1

	Pol(f29) = V_3 + 1

	Pol(f23) = V_3 + 1

	Pol(f0) = 11

	Pol(koat_start) = 11

orients all transitions weakly and the transitions

	f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

	f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

strictly and produces the following problem:

7:	T:

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: ?, Cost: 1)     f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: ?, Cost: 1)     f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)     f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 4, Cost: 1)     f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 7 produces the following problem:

8:	T:

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: 15, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: 15, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)     f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 4, Cost: 1)     f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(f44) = V_3 - V_4

	Pol(f29) = V_3 - V_4 + 1

	Pol(f33) = V_3 - V_4

	Pol(f23) = V_3 - V_4

and size complexities

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-3) = Ar_5

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-4) = Ar_6

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-5) = Ar_7

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-0) = 1

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-1) = 1

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-2) = 10

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-3) = 0

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-4) = Ar_6

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-5) = Ar_7

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-0) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-1) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-2) = 10

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-3) = ?

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-4) = Ar_6

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-5) = Ar_7

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-0) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-1) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-2) = 10

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-3) = 0

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-4) = Ar_6

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-5) = Ar_7

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-0) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-1) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-2) = 10

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-3) = 0

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-5) = ?

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-0) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-1) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-2) = 10

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-3) = ?

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-4) = 0

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-5) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-0) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-1) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-3) = 15

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-3) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-0) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-0) = 0

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-3) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-4) = 0

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-0) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-3) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-4) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-0) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-3) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-4) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-1) = 0

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-1) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-1) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-5) = ?

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-0) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-1) = 0

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-2) = 10

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-3) = 16

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-4) = Ar_6 + 3

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-5) = ?

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-0) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-1) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-2) = 10

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-3) = 15

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-4) = Ar_6 + 3

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-5) = ?

orients the transitions

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

	f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

	f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

weakly and the transitions

	f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

	f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

strictly and produces the following problem:

9:	T:

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: 15, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: 15, Cost: 1)    f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: 4, Cost: 1)     f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)     f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: ?, Cost: 1)     f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)    f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 54, Cost: 1)    f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 4, Cost: 1)     f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 4, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 54, Cost: 1)    f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)     f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)     koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(f44) = 1

	Pol(f29) = 0

	Pol(f33) = 2

and size complexities

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-3) = Ar_5

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-4) = Ar_6

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-5) = Ar_7

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-0) = 1

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-1) = 1

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-2) = 10

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-3) = 0

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-4) = Ar_6

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-5) = Ar_7

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-0) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-1) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-2) = 10

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-3) = 54

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-4) = Ar_6

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-5) = Ar_7

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-0) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-1) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-2) = 10

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-3) = 0

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-4) = Ar_6

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-5) = Ar_7

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-0) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-1) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-2) = 10

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-3) = 0

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-5) = ?

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-0) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-1) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-2) = 10

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-3) = ?

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-4) = 0

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-5) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-0) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-1) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-3) = 15

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-3) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-0) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-0) = 0

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-3) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-4) = 0

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-0) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-3) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-4) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-0) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-3) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-4) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-1) = 0

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-1) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-1) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-5) = ?

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-0) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-1) = 0

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-2) = 10

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-3) = 16

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-4) = Ar_6 + 3

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-5) = ?

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-0) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-1) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-2) = 10

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-3) = 15

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-4) = Ar_6 + 3

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-3) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-5) = ?

orients the transitions

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

weakly and the transitions

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

	f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

strictly and produces the following problem:

10:	T:

		(Comp: ?, Cost: 1)      f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: 15, Cost: 1)     f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: 15, Cost: 1)     f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: 4, Cost: 1)      f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: 4, Cost: 1)      f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: 4, Cost: 1)      f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: 108, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: 108, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: 108, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)      f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)      f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: ?, Cost: 1)      f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: 108, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: 108, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: 108, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 54, Cost: 1)     f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 4, Cost: 1)      f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 4, Cost: 1)      f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 54, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)      f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)      koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(f33) = V_3 - V_6

and size complexities

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-3) = Ar_5

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-4) = Ar_6

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]", 0-5) = Ar_7

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-0) = 1

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-1) = 1

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-2) = 10

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-3) = 0

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-4) = Ar_6

	S("f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))", 0-5) = Ar_7

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-0) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-1) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-2) = 10

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-3) = 54

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-4) = Ar_6

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]", 0-5) = Ar_7

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-0) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-1) = 1

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-2) = 10

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-3) = 0

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-4) = Ar_6

	S("f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-5) = Ar_7

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-0) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-1) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-2) = 10

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-3) = 0

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]", 0-5) = ?

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-0) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-1) = 1

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-2) = 10

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-3) = 432

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-4) = 0

	S("f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]", 0-5) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-0) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\\ Ar_0 = 0 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_5 + 1 >= Ar_2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-1) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-3) = 27

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\\ Ar_1 = 0 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-3) = 15

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-5) = ?

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-0) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-1) = 1

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-2) = 10

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-3) = 0

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-4) = Ar_6 + 3

	S("f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\\ Ar_2 >= Ar_5 + 2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-0) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-3) = 432

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\\ Ar_0 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-3) = 432

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\\ Ar_7 >= Ar_2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-3) = 432

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\\ Ar_7 >= Ar_2 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = 432

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = 432

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 0

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\\ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-3) = 432

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\\ Ar_6 = 0 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-0) = 0

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-3) = 432

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-4) = 0

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-0) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-3) = 432

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-4) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]", 0-5) = ?

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-0) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-1) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-2) = 10

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-3) = 432

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-4) = 1

	S("f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-1) = 0

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-1) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]", 0-5) = ?

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-0) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-1) = 1

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-2) = 10

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-3) = 27

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-4) = Ar_6 + 3

	S("f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]", 0-5) = ?

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-0) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-1) = 0

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-2) = 10

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-3) = 16

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-4) = Ar_6 + 3

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))", 0-5) = ?

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-0) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-1) = 1

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-2) = 10

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-3) = 15

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-4) = Ar_6 + 3

	S("f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]", 0-5) = ?

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-0) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-1) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-2) = 10

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-3) = 432

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-4) = 1

	S("f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\\ Ar_2 >= Ar_7 + 1 ]", 0-5) = ?

orients the transitions

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

weakly and the transitions

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

	f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

strictly and produces the following problem:

11:	T:

		(Comp: 540, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_6 >= 1 /\ Ar_2 >= Ar_7 + 1 ]

		(Comp: 15, Cost: 1)     f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ M >= N + 1 ]

		(Comp: 15, Cost: 1)     f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7))

		(Comp: 4, Cost: 1)      f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 ]

		(Comp: 4, Cost: 1)      f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 ]

		(Comp: 4, Cost: 1)      f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(Ar_0, 0, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 = 0 ]

		(Comp: 108, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ 0 >= Ar_6 + 1 ]

		(Comp: 108, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(1, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_6 >= 1 ]

		(Comp: 108, Cost: 1)    f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, 0, Ar_7)) [ Ar_6 = 0 ]

		(Comp: 540, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 1, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: 540, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ M >= N + 1 /\ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: 540, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, Ar_7 + 1)) [ Ar_2 >= Ar_7 + 1 /\ Ar_6 = 0 ]

		(Comp: 108, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_7 >= Ar_2 ]

		(Comp: 108, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f44(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_7 >= Ar_2 ]

		(Comp: 108, Cost: 1)    f33(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_7 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 + 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f55(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_2 >= Ar_5 + 2 ]

		(Comp: 11, Cost: 1)     f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, 0, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 2 /\ Ar_1 = 0 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 + 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f63(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_5 + 1 >= Ar_2 ]

		(Comp: 4, Cost: 1)      f52(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f71(0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 + 1 >= Ar_2 /\ Ar_0 = 0 ]

		(Comp: 54, Cost: 1)     f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f33(Ar_0, Ar_1, Ar_2, Ar_5, 0, 0)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 4, Cost: 1)      f29(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f52(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 4, Cost: 1)      f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f29(Ar_0, Ar_1, Ar_2, 0, Ar_6, Ar_7)) [ Ar_5 >= Ar_2 ]

		(Comp: 54, Cost: 1)     f23(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(Ar_0, Ar_1, Ar_2, Ar_5 + 1, Ar_6, Ar_7)) [ Ar_2 >= Ar_5 + 1 ]

		(Comp: 1, Cost: 1)      f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f23(1, 1, 10, 0, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)      koat_start(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7) -> Com_1(f0(Ar_0, Ar_1, Ar_2, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Complexity upper bound 3005



Time: 0.638 sec (SMT: 0.333 sec)


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(2)
BOUNDS(1, 1)