/export/starexec/sandbox/solver/bin/starexec_run_c_complexity /export/starexec/sandbox/benchmark/theBenchmark.c /export/starexec/sandbox/output/output_files


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WORST_CASE(?, O(n^2))
proof of /export/starexec/sandbox/output/output_files/bench.koat
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 584 ms]
(2) BOUNDS(1, n^2)


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

(0)
Obligation:
Complexity Int TRS consisting of the following rules:
eval_perfect2_start(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb0_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: TRUE
eval_perfect2_bb0_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb3_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_x <= 0
eval_perfect2_bb0_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb1_in(v_1, v_x, v_x, v_y2.1, v_x)) :|: v_x > 0
eval_perfect2_bb1_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb2_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y1.0 - 1 >= 0 && v_y1.0 - 1 <= 0
eval_perfect2_bb1_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb4_in(v_y1.0 - 1, v_x, v_y1.0, v_x, v_y3.0)) :|: v_y1.0 - 1 < 0
eval_perfect2_bb1_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb4_in(v_y1.0 - 1, v_x, v_y1.0, v_x, v_y3.0)) :|: v_y1.0 - 1 > 0
eval_perfect2_bb2_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb3_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 < 0
eval_perfect2_bb2_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb3_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 > 0
eval_perfect2_bb2_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb3_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 >= 0 && v_y3.0 <= 0
eval_perfect2_bb3_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_stop(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: TRUE
eval_perfect2_bb4_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb5_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y2.1 >= v_1
eval_perfect2_bb4_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb6_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y2.1 < v_1
eval_perfect2_bb5_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb4_in(v_1, v_x, v_y1.0, v_y2.1 - v_1, v_y3.0)) :|: TRUE
eval_perfect2_bb6_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb1_in(v_1, v_x, v_1, v_y2.1, v_y3.0 - v_1)) :|: v_y2.1 >= 0 && v_y2.1 <= 0
eval_perfect2_bb6_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb1_in(v_1, v_x, v_1, v_y2.1, v_y3.0)) :|: v_y2.1 < 0
eval_perfect2_bb6_in(v_1, v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect2_bb1_in(v_1, v_x, v_1, v_y2.1, v_y3.0)) :|: v_y2.1 > 0

The start-symbols are:[eval_perfect2_start_5]


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

(1) Koat Proof (FINISHED)
YES(?, 13*Ar_0 + 8*Ar_0^2 + 18)



Initial complexity problem:

1:	T:

		(Comp: ?, Cost: 1)    evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]

		(Comp: ?, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]

		(Comp: ?, Cost: 1)    evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 1 produces the following problem:

2:	T:

		(Comp: 1, Cost: 1)    evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: 1, Cost: 1)    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]

		(Comp: ?, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]

		(Comp: ?, Cost: 1)    evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalperfect2start) = 3

	Pol(evalperfect2bb0in) = 3

	Pol(evalperfect2bb3in) = 1

	Pol(evalperfect2bb1in) = 3

	Pol(evalperfect2bb2in) = 2

	Pol(evalperfect2bb4in) = 3

	Pol(evalperfect2stop) = 0

	Pol(evalperfect2bb5in) = 3

	Pol(evalperfect2bb6in) = 3

	Pol(koat_start) = 3

orients all transitions weakly and the transitions

	evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]

	evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]

	evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]

	evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]

strictly and produces the following problem:

3:	T:

		(Comp: 1, Cost: 1)    evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: 1, Cost: 1)    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: 3, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]

		(Comp: 3, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]

		(Comp: 3, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]

		(Comp: 3, Cost: 1)    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]

		(Comp: 3, Cost: 1)    evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalperfect2bb6in) = V_4

	Pol(evalperfect2bb1in) = V_2

	Pol(evalperfect2bb5in) = V_4

	Pol(evalperfect2bb4in) = V_4

and size complexities

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]", 0-1) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]", 0-2) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]", 0-3) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]", 0-4) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]", 0-1) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]", 0-2) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]", 0-3) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]", 0-4) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]", 0-1) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]", 0-2) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]", 0-3) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]", 0-4) = 0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))", 0-0) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))", 0-1) = ?

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))", 0-2) = ?

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))", 0-3) = ?

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))", 0-4) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]", 0-1) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]", 0-2) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]", 0-3) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]", 0-4) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]", 0-0) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]", 0-1) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]", 0-2) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]", 0-3) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]", 0-4) = ?

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 + 1

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]", 0-2) = 0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]", 0-3) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]", 0-4) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]", 0-2) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]", 0-3) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]", 0-4) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]", 0-2) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]", 0-3) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]", 0-4) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]", 0-0) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]", 0-1) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]", 0-2) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]", 0-3) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]", 0-4) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]", 0-0) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]", 0-1) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]", 0-2) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]", 0-3) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]", 0-4) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]", 0-0) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]", 0-1) = 1

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]", 0-2) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]", 0-3) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]", 0-4) = ?

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-1) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-2) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-3) = Ar_3

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-4) = Ar_4

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-0) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-1) = Ar_1

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-2) = Ar_2

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-3) = Ar_3

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-4) = Ar_4

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

orients the transitions

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]

	evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))

	evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]

	evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]

	evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]

	evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]

weakly and the transition

	evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]

strictly and produces the following problem:

4:	T:

		(Comp: 1, Cost: 1)       evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)       evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: 1, Cost: 1)       evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: 3, Cost: 1)       evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ 0 >= Ar_1 ]

		(Comp: Ar_0, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_1 >= 2 ]

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_2 + 1 ]

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 1 ]

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 = 0 ]

		(Comp: 3, Cost: 1)       evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)       evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_3 ]

		(Comp: ?, Cost: 1)       evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3))

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_4 = 0 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= 1 ]

		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Applied AI with 'oct' on problem 4 to obtain the following invariants:

  For symbol evalperfect2bb1in: X_1 - X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalperfect2bb2in: X_1 - X_3 >= 0 /\ -X_2 + 1 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalperfect2bb4in: X_1 - X_5 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_1 - X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 2 >= 0

  For symbol evalperfect2bb5in: X_1 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ -X_4 + X_5 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ -X_2 + X_5 + 1 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_1 - X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 2 >= 0

  For symbol evalperfect2bb6in: X_4 - X_5 - 1 >= 0 /\ X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 2 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_1 - X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 2 >= 0





This yielded the following problem:

5:	T:

		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 = 0 ]

		(Comp: ?, Cost: 1)       evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]

		(Comp: ?, Cost: 1)       evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= Ar_3 ]

		(Comp: 3, Cost: 1)       evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 = 0 ]

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 ]

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 + 1 ]

		(Comp: Ar_0, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2 ]

		(Comp: ?, Cost: 1)       evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_1 ]

		(Comp: 3, Cost: 1)       evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 = 1 ]

		(Comp: 1, Cost: 1)       evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)       evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: 1, Cost: 1)       evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	start location:	koat_start

	leaf cost:	0



Testing for unsatisfiable constraints removes the following transition from problem 5:

	evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_1 ]

We thus obtain the following problem:

6:	T:

		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 = 0 ]

		(Comp: ?, Cost: 1)       evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]

		(Comp: ?, Cost: 1)       evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)       evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= Ar_3 ]

		(Comp: 3, Cost: 1)       evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 = 0 ]

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 ]

		(Comp: 3, Cost: 1)       evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 + 1 ]

		(Comp: Ar_0, Cost: 1)    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2 ]

		(Comp: 3, Cost: 1)       evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 = 1 ]

		(Comp: 1, Cost: 1)       evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)       evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: 1, Cost: 1)       evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalperfect2bb6in) = 1

	Pol(evalperfect2bb1in) = 0

	Pol(evalperfect2bb5in) = 2

	Pol(evalperfect2bb4in) = 2

and size complexities

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-0) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-1) = Ar_1

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-2) = Ar_2

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-3) = Ar_3

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-4) = Ar_4

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-1) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-2) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-3) = Ar_3

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-4) = Ar_4

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-0) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-1) = 1

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-2) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-0) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-1) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-2) = ?

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-3) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-4) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-2) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-2) = ?

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-2) = 0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 + 3

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-0) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-1) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-2) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-3) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-4) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-2) = ?

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-3) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-4) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-0) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-1) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-2) = ?

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-3) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-4) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-1) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-2) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-3) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-4) = 0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-2) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-3) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-4) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-1) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-2) = ?

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-3) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-4) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4

orients the transitions

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 = 0 ]

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= 1 ]

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_4 + 1 ]

	evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]

	evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= Ar_4 + 1 ]

	evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= Ar_3 ]

weakly and the transitions

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 = 0 ]

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= 1 ]

	evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_4 + 1 ]

	evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= Ar_4 + 1 ]

strictly and produces the following problem:

7:	T:

		(Comp: 1, Cost: 0)         koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

		(Comp: 2*Ar_0, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= 1 ]

		(Comp: 2*Ar_0, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_4 + 1 ]

		(Comp: 2*Ar_0, Cost: 1)    evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 = 0 ]

		(Comp: ?, Cost: 1)         evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]

		(Comp: 2*Ar_0, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)         evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= Ar_3 ]

		(Comp: 3, Cost: 1)         evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 3, Cost: 1)         evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 = 0 ]

		(Comp: 3, Cost: 1)         evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 ]

		(Comp: 3, Cost: 1)         evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 + 1 ]

		(Comp: Ar_0, Cost: 1)      evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2 ]

		(Comp: 3, Cost: 1)         evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 = 1 ]

		(Comp: 1, Cost: 1)         evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)         evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: 1, Cost: 1)         evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalperfect2bb5in) = -2*V_4 + 2*V_5 + 1

	Pol(evalperfect2bb4in) = -2*V_4 + 2*V_5 + 2

and size complexities

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-0) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-1) = Ar_1

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-2) = Ar_2

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-3) = Ar_3

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]", 0-4) = Ar_4

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-1) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-2) = Ar_0

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-3) = Ar_3

	S("evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]", 0-4) = Ar_4

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-0) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-1) = 1

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 = 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-0) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-1) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-3) = Ar_0

	S("evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= 2 ]", 0-4) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ 0 >= Ar_2 + 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 >= 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-0) = Ar_0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-1) = 1

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-2) = 0

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\\ -Ar_1 + 1 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_2 = 0 ]", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1 + 3

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2 + Ar_0 + 2*Ar_0^2

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_0 + Ar_3

	S("evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_0 + Ar_4

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-0) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-1) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-3) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= Ar_3 ]", 0-4) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-3) = Ar_0

	S("evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= Ar_4 + 1 ]", 0-4) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-0) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-1) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-3) = Ar_0

	S("evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_3 + Ar_4 - 2 >= 0 /\\ -Ar_3 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 3 >= 0 /\\ -Ar_1 + Ar_4 + 1 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-4) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-1) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-3) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 = 0 ]", 0-4) = 0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-3) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ 0 >= Ar_4 + 1 ]", 0-4) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-0) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-1) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-2) = Ar_0 + 2*Ar_0^2

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-3) = Ar_0

	S("evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\\ Ar_1 - Ar_4 - 2 >= 0 /\\ Ar_0 - Ar_4 - 2 >= 0 /\\ Ar_1 - Ar_3 - 1 >= 0 /\\ Ar_0 - Ar_3 - 1 >= 0 /\\ Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 3 >= 0 /\\ -Ar_1 + Ar_3 + 1 >= 0 /\\ Ar_0 + Ar_3 - 3 >= 0 /\\ Ar_0 - Ar_2 >= 0 /\\ Ar_0 - Ar_1 >= 0 /\\ Ar_1 - 2 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_4 >= 1 ]", 0-4) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4

orients the transitions

	evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]

	evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= Ar_3 ]

weakly and the transitions

	evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]

	evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= Ar_3 ]

strictly and produces the following problem:

8:	T:

		(Comp: 1, Cost: 0)                    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

		(Comp: 2*Ar_0, Cost: 1)               evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= 1 ]

		(Comp: 2*Ar_0, Cost: 1)               evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ 0 >= Ar_4 + 1 ]

		(Comp: 2*Ar_0, Cost: 1)               evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_3, Ar_2 - Ar_3, Ar_3, Ar_4)) [ Ar_3 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 2 >= 0 /\ Ar_0 - Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 = 0 ]

		(Comp: 4*Ar_0^2 + 2*Ar_0, Cost: 1)    evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_3)) [ Ar_0 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 2 >= 0 /\ -Ar_3 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 3 >= 0 /\ -Ar_1 + Ar_4 + 1 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 ]

		(Comp: 2*Ar_0, Cost: 1)               evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= Ar_4 + 1 ]

		(Comp: 4*Ar_0^2 + 2*Ar_0, Cost: 1)    evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_4 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 3 >= 0 /\ -Ar_1 + Ar_3 + 1 >= 0 /\ Ar_0 + Ar_3 - 3 >= 0 /\ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_4 >= Ar_3 ]

		(Comp: 3, Cost: 1)                    evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 3, Cost: 1)                    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 = 0 ]

		(Comp: 3, Cost: 1)                    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 ]

		(Comp: 3, Cost: 1)                    evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ -Ar_1 + 1 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 + 1 ]

		(Comp: Ar_0, Cost: 1)                 evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb4in(Ar_0, Ar_1, Ar_2, Ar_1 - 1, Ar_0)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2 ]

		(Comp: 3, Cost: 1)                    evalperfect2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 >= 0 /\ Ar_0 - Ar_1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 = 1 ]

		(Comp: 1, Cost: 1)                    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb1in(Ar_0, Ar_0, Ar_0, Ar_3, Ar_4)) [ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)                    evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 ]

		(Comp: 1, Cost: 1)                    evalperfect2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalperfect2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	start location:	koat_start

	leaf cost:	0



Complexity upper bound 13*Ar_0 + 8*Ar_0^2 + 18



Time: 0.582 sec (SMT: 0.437 sec)


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(2)
BOUNDS(1, n^2)