/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


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

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 820 ms]
(2) BOUNDS(1, 1)


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(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]


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(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, m, n, 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: 0.750 sec (SMT: 0.427 sec)


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(2)
BOUNDS(1, 1)