/export/starexec/sandbox2/solver/bin/starexec_run_c_complexity /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


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WORST_CASE(?, O(n^6))
proof of /export/starexec/sandbox2/output/output_files/bench.koat
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^6).

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 281 ms]
(2) BOUNDS(1, n^6)


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

(0)
Obligation:
Complexity Int TRS consisting of the following rules:
eval_textbook_ex3_start(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb0_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: TRUE
eval_textbook_ex3_bb0_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb1_in(1, v_j.0, v_k.0, v_l.0, v_m)) :|: TRUE
eval_textbook_ex3_bb1_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb2_in(v_i.0, 1, v_k.0, v_l.0, v_m)) :|: v_i.0 <= v_m
eval_textbook_ex3_bb1_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb8_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_i.0 > v_m
eval_textbook_ex3_bb2_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_i.0 + 1, v_l.0, v_m)) :|: v_j.0 <= v_i.0
eval_textbook_ex3_bb2_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb1_in(v_i.0 + 1, v_j.0, v_k.0, v_l.0, v_m)) :|: v_j.0 > v_i.0
eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, 1, v_m)) :|: v_k.0 <= v_m
eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb7_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_k.0 > v_m
eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb5_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_l.0 <= v_k.0
eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb6_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: v_l.0 > v_k.0
eval_textbook_ex3_bb5_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb4_in(v_i.0, v_j.0, v_k.0, v_l.0 + 1, v_m)) :|: TRUE
eval_textbook_ex3_bb6_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb3_in(v_i.0, v_j.0, v_k.0 + 1, v_l.0, v_m)) :|: TRUE
eval_textbook_ex3_bb7_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_bb2_in(v_i.0, v_j.0 + 1, v_k.0, v_l.0, v_m)) :|: TRUE
eval_textbook_ex3_bb8_in(v_i.0, v_j.0, v_k.0, v_l.0, v_m) -> Com_1(eval_textbook_ex3_stop(v_i.0, v_j.0, v_k.0, v_l.0, v_m)) :|: TRUE

The start-symbols are:[eval_textbook_ex3_start_5]


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

(1) Koat Proof (FINISHED)
YES(?, 134*ar_1 + 464*ar_1^2 + 692*ar_1^3 + 472*ar_1^4 + 16*ar_1^6 + 144*ar_1^5 + 6)



Initial complexity problem:

1:	T:

		(Comp: ?, Cost: 1)    evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)    evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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)    evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)    evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)    evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start) = 2

	Pol(evaltextbookex3bb0in) = 2

	Pol(evaltextbookex3bb1in) = 2

	Pol(evaltextbookex3bb2in) = 2

	Pol(evaltextbookex3bb8in) = 1

	Pol(evaltextbookex3bb3in) = 2

	Pol(evaltextbookex3bb4in) = 2

	Pol(evaltextbookex3bb7in) = 2

	Pol(evaltextbookex3bb5in) = 2

	Pol(evaltextbookex3bb6in) = 2

	Pol(evaltextbookex3stop) = 0

	Pol(koat_start) = 2

orients all transitions weakly and the transitions

	evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

	evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

strictly and produces the following problem:

3:	T:

		(Comp: 1, Cost: 1)    evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)    evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)    evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)    evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: ?, Cost: 1)    evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)    evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start) = V_2

	Pol(evaltextbookex3bb0in) = V_2

	Pol(evaltextbookex3bb1in) = -V_1 + V_2 + 1

	Pol(evaltextbookex3bb2in) = -V_1 + V_2

	Pol(evaltextbookex3bb8in) = -V_1 + V_2

	Pol(evaltextbookex3bb3in) = -V_1 + V_2

	Pol(evaltextbookex3bb4in) = -V_1 + V_2

	Pol(evaltextbookex3bb7in) = -V_1 + V_2

	Pol(evaltextbookex3bb5in) = -V_1 + V_2

	Pol(evaltextbookex3bb6in) = -V_1 + V_2

	Pol(evaltextbookex3stop) = -V_1 + V_2

	Pol(koat_start) = V_2

orients all transitions weakly and the transition

	evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

strictly and produces the following problem:

4:	T:

		(Comp: 1, Cost: 1)       evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)       evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)       evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)       evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: ?, Cost: 1)       evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)       evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3bb7in) = 1

	Pol(evaltextbookex3bb2in) = 1

	Pol(evaltextbookex3bb6in) = 1

	Pol(evaltextbookex3bb3in) = 1

	Pol(evaltextbookex3bb5in) = 1

	Pol(evaltextbookex3bb4in) = 1

	Pol(evaltextbookex3bb1in) = 0

and size complexities

	S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-0) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-2) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-0) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-2) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-3) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-4) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-0) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-1) = ar_1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-2) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-3) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-0) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-0) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-2) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-0) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-0) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-2) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-4) = 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-0) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-2) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-3) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-0) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-2) = 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-4) = ?

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-0) = 1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

orients the transitions

	evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

	evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

	evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

	evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

	evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

weakly and the transition

	evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

strictly and produces the following problem:

5:	T:

		(Comp: 1, Cost: 1)       evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)       evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)       evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ar_1, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)       evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)       evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: ?, Cost: 1)       evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)       evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3bb7in) = V_1 - V_3

	Pol(evaltextbookex3bb2in) = V_1 - V_3 + 1

	Pol(evaltextbookex3bb6in) = V_1 - V_3

	Pol(evaltextbookex3bb3in) = V_1 - V_3

	Pol(evaltextbookex3bb5in) = V_1 - V_3

	Pol(evaltextbookex3bb4in) = V_1 - V_3

and size complexities

	S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_1 + 2

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-2) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-2) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-3) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-4) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-1) = ar_1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-2) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-3) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-2) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-2) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-4) = 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-2) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-3) = ar_1 + 2

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_1 + 2

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-2) = 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-4) = ?

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-0) = 1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

orients the transitions

	evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

	evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

	evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

	evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

weakly and the transition

	evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

strictly and produces the following problem:

6:	T:

		(Comp: 1, Cost: 1)                  evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)                  evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)               evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)                  evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ar_1^2 + 3*ar_1, Cost: 1)    evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ar_1, Cost: 1)               evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: ?, Cost: 1)                  evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: ?, Cost: 1)                  evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)                  evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)                  evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)                  evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)                  evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: ?, Cost: 1)                  evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)                  evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)                  koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3bb7in) = 1

	Pol(evaltextbookex3bb2in) = 0

	Pol(evaltextbookex3bb6in) = 2

	Pol(evaltextbookex3bb3in) = 2

	Pol(evaltextbookex3bb5in) = 2

	Pol(evaltextbookex3bb4in) = 2

and size complexities

	S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_1 + 2

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-2) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-2) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-3) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-4) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-1) = ar_1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-2) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-3) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-2) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-2) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-4) = 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-2) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-3) = ar_1 + 2

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_1 + 2

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-2) = 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-4) = ?

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-0) = 1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

orients the transitions

	evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

	evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

	evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

weakly and the transitions

	evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

strictly and produces the following problem:

7:	T:

		(Comp: 1, Cost: 1)                    evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)                    evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)                 evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)                    evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ar_1^2 + 3*ar_1, Cost: 1)      evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ar_1, Cost: 1)                 evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: ?, Cost: 1)                    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)                    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)                    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)                    evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)                    evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)    evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)                    evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)                    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3bb6in) = V_2 - V_4

	Pol(evaltextbookex3bb3in) = V_2 - V_4 + 1

	Pol(evaltextbookex3bb5in) = V_2 - V_4

	Pol(evaltextbookex3bb4in) = V_2 - V_4

and size complexities

	S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_1 + 2

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2 + 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-3) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-4) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-1) = ar_1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-3) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-4) = 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-3) = ar_1 + 2

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_1 + 2

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ar_2 + 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-2) = 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-4) = ?

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-0) = 1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

orients the transitions

	evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

	evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

weakly and the transition

	evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

strictly and produces the following problem:

8:	T:

		(Comp: 1, Cost: 1)                               evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)                               evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)                            evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)                               evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ar_1^2 + 3*ar_1, Cost: 1)                 evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ar_1, Cost: 1)                            evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: 2*ar_1^3 + 9*ar_1^2 + 9*ar_1, Cost: 1)    evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)               evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)                               evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: ?, Cost: 1)                               evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)                               evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: ?, Cost: 1)                               evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)               evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)                               evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)                               koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3bb6in) = 1

	Pol(evaltextbookex3bb3in) = 0

	Pol(evaltextbookex3bb5in) = 2

	Pol(evaltextbookex3bb4in) = 2

and size complexities

	S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_1 + 2

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2 + 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-3) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-3) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-4) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-1) = ar_1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-3) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-3) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-3) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-4) = 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-3) = ar_1 + 2

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_1 + 2

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ar_2 + 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-2) = 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-3) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-4) = ?

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-0) = 1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

orients the transitions

	evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

	evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

weakly and the transitions

	evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

strictly and produces the following problem:

9:	T:

		(Comp: 1, Cost: 1)                                 evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)                                 evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)                              evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)                                 evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ar_1^2 + 3*ar_1, Cost: 1)                   evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ar_1, Cost: 1)                              evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: 2*ar_1^3 + 9*ar_1^2 + 9*ar_1, Cost: 1)      evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)                 evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: ?, Cost: 1)                                 evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: 4*ar_1^3 + 18*ar_1^2 + 18*ar_1, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)                                 evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: 4*ar_1^3 + 18*ar_1^2 + 18*ar_1, Cost: 1)    evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)                 evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)                                 evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)                                 koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3bb5in) = V_4 - V_5

	Pol(evaltextbookex3bb4in) = V_4 - V_5 + 1

and size complexities

	S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(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(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_1 + 2

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2 + 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3 + 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-3) = 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))", 0-4) = ?

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-3) = 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))", 0-4) = ?

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-0) = ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-1) = ar_1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-3) = 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-3) = 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-1) = ar_1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-3) = 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-3) = 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-1) = ar_1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-3) = 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]", 0-4) = 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ar_3 + 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-1) = ar_1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-2) = 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-3) = ar_1 + 2

	S("evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_1 + 2

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ar_2 + 2*ar_1^2 + 6*ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ar_3 + 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]", 0-4) = ?

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-0) = ar_1 + 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-1) = ar_1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-2) = 1

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-3) = ar_3 + 19*ar_1 + 4*ar_1^3 + 18*ar_1^2 + 2

	S("evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]", 0-4) = ?

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-0) = 1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3

	S("evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4

orients the transitions

	evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

weakly and the transition

	evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

strictly and produces the following problem:

10:	T:

		(Comp: 1, Cost: 1)                                                                        evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)                                                                        evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)                                                                     evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)                                                                        evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ar_1^2 + 3*ar_1, Cost: 1)                                                          evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ar_1, Cost: 1)                                                                     evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: 2*ar_1^3 + 9*ar_1^2 + 9*ar_1, Cost: 1)                                             evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)                                                        evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: 236*ar_1^4 + 341*ar_1^3 + 207*ar_1^2 + 8*ar_1^6 + 72*ar_1^5 + 36*ar_1, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: 4*ar_1^3 + 18*ar_1^2 + 18*ar_1, Cost: 1)                                           evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: ?, Cost: 1)                                                                        evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: 4*ar_1^3 + 18*ar_1^2 + 18*ar_1, Cost: 1)                                           evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)                                                        evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)                                                                        evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)                                                                        koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 10 produces the following problem:

11:	T:

		(Comp: 1, Cost: 1)                                                                        evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 1)                                                                        evaltextbookex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(1, ar_1, ar_2, ar_3, ar_4))

		(Comp: ar_1, Cost: 1)                                                                     evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 >= ar_0 ]

		(Comp: 2, Cost: 1)                                                                        evaltextbookex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]

		(Comp: ar_1^2 + 3*ar_1, Cost: 1)                                                          evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_0 + 1, ar_4)) [ ar_0 >= ar_2 ]

		(Comp: ar_1, Cost: 1)                                                                     evaltextbookex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]

		(Comp: 2*ar_1^3 + 9*ar_1^2 + 9*ar_1, Cost: 1)                                             evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, 1)) [ ar_1 >= ar_3 ]

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)                                                        evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 + 1 ]

		(Comp: 236*ar_1^4 + 341*ar_1^3 + 207*ar_1^2 + 8*ar_1^6 + 72*ar_1^5 + 36*ar_1, Cost: 1)    evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_4 ]

		(Comp: 4*ar_1^3 + 18*ar_1^2 + 18*ar_1, Cost: 1)                                           evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= ar_3 + 1 ]

		(Comp: 236*ar_1^4 + 341*ar_1^3 + 207*ar_1^2 + 8*ar_1^6 + 72*ar_1^5 + 36*ar_1, Cost: 1)    evaltextbookex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1))

		(Comp: 4*ar_1^3 + 18*ar_1^2 + 18*ar_1, Cost: 1)                                           evaltextbookex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb3in(ar_0, ar_1, ar_2, ar_3 + 1, ar_4))

		(Comp: 2*ar_1^2 + 6*ar_1, Cost: 1)                                                        evaltextbookex3bb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3bb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))

		(Comp: 2, Cost: 1)                                                                        evaltextbookex3bb8in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))

		(Comp: 1, Cost: 0)                                                                        koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evaltextbookex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Complexity upper bound 134*ar_1 + 464*ar_1^2 + 692*ar_1^3 + 472*ar_1^4 + 16*ar_1^6 + 144*ar_1^5 + 6



Time: 0.269 sec (SMT: 0.194 sec)


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(2)
BOUNDS(1, n^6)