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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 926 ms]
(2) BOUNDS(1, n^1)
(3) Loat Proof [FINISHED, 1535 ms]
(4) BOUNDS(n^1, INF)


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

(0)
Obligation:
Complexity Int TRS consisting of the following rules:
eval_start_start(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb0_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_bb0_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_0(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_0(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_1(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_1(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_2(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_2(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_3(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_3(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_4(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_4(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_5(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_5(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_6(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_6(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_m, v_m, 0, v_n_1)) :|: TRUE
eval_start__critedge_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb1_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_i_0 > 0
eval_start__critedge_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb6_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_i_0 <= 0
eval_start_bb1_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_8(v_i_0 - 1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_8(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_9(v_1, nondef_0, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_9(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb2_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_2 > 0
eval_start_9(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_0)) :|: v_2 <= 0
eval_start_bb2_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_0 + 1, v_n_1)) :|: TRUE
eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb4_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_n_1 > 0
eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_1, v_n_1)) :|: v_n_1 <= 0
eval_start_bb4_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_12(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_12(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_13(v_1, v_2, nondef_1, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE
eval_start_13(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb5_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: v_6 > 0
eval_start_13(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start__critedge_in(v_1, v_2, v_6, v_1, v_m, v_n_1, v_n_1)) :|: v_6 <= 0
eval_start_bb5_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_bb3_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1 - 1)) :|: TRUE
eval_start_bb6_in(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1) -> Com_1(eval_start_stop(v_1, v_2, v_6, v_i_0, v_m, v_n_0, v_n_1)) :|: TRUE

The start-symbols are:[eval_start_start_7]


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

(1) Koat Proof (FINISHED)
YES(?, 33*Ar_1 + 13)



Initial complexity problem:

1:	T:

		(Comp: ?, Cost: 1)    evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]

		(Comp: ?, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]

		(Comp: ?, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]

		(Comp: ?, Cost: 1)    evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)    evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))

		(Comp: ?, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))

		(Comp: ?, Cost: 1)    evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 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)    evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]

		(Comp: ?, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]

		(Comp: ?, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]

		(Comp: ?, Cost: 1)    evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)    evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))

		(Comp: ?, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))

		(Comp: ?, Cost: 1)    evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalstartstart) = 2

	Pol(evalstartbb0in) = 2

	Pol(evalstart0) = 2

	Pol(evalstart1) = 2

	Pol(evalstart2) = 2

	Pol(evalstart3) = 2

	Pol(evalstart4) = 2

	Pol(evalstart5) = 2

	Pol(evalstart6) = 2

	Pol(evalstartcritedgein) = 2

	Pol(evalstartbb1in) = 2

	Pol(evalstartbb6in) = 1

	Pol(evalstart8) = 2

	Pol(evalstart9) = 2

	Pol(evalstartbb2in) = 2

	Pol(evalstartbb3in) = 2

	Pol(evalstartbb4in) = 2

	Pol(evalstart12) = 2

	Pol(evalstart13) = 2

	Pol(evalstartbb5in) = 2

	Pol(evalstartstop) = 0

	Pol(koat_start) = 2

orients all transitions weakly and the transitions

	evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]

	evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

strictly and produces the following problem:

3:	T:

		(Comp: 1, Cost: 1)    evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)    evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]

		(Comp: 2, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]

		(Comp: ?, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]

		(Comp: ?, Cost: 1)    evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)    evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)    evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))

		(Comp: ?, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))

		(Comp: 2, Cost: 1)    evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalstartstart) = V_2

	Pol(evalstartbb0in) = V_2

	Pol(evalstart0) = V_2

	Pol(evalstart1) = V_2

	Pol(evalstart2) = V_2

	Pol(evalstart3) = V_2

	Pol(evalstart4) = V_2

	Pol(evalstart5) = V_2

	Pol(evalstart6) = V_2

	Pol(evalstartcritedgein) = V_1

	Pol(evalstartbb1in) = V_1 - 1

	Pol(evalstartbb6in) = V_1

	Pol(evalstart8) = V_4

	Pol(evalstart9) = V_4

	Pol(evalstartbb2in) = V_4

	Pol(evalstartbb3in) = V_4

	Pol(evalstartbb4in) = V_4

	Pol(evalstart12) = V_4

	Pol(evalstart13) = V_4

	Pol(evalstartbb5in) = V_4

	Pol(evalstartstop) = V_1

	Pol(koat_start) = V_2

orients all transitions weakly and the transition

	evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]

strictly and produces the following problem:

4:	T:

		(Comp: 1, Cost: 1)       evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: Ar_1, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]

		(Comp: 2, Cost: 1)       evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)       evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]

		(Comp: ?, Cost: 1)       evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]

		(Comp: ?, Cost: 1)       evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)       evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)       evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))

		(Comp: ?, Cost: 1)       evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)       evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)       evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))

		(Comp: 2, Cost: 1)       evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 4 produces the following problem:

5:	T:

		(Comp: 1, Cost: 1)       evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: Ar_1, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]

		(Comp: 2, Cost: 1)       evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))

		(Comp: Ar_1, Cost: 1)    evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))

		(Comp: Ar_1, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]

		(Comp: Ar_1, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)       evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)       evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))

		(Comp: ?, Cost: 1)       evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)       evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)       evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))

		(Comp: 2, Cost: 1)       evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalstartbb5in) = 1

	Pol(evalstartbb3in) = 1

	Pol(evalstartbb4in) = 1

	Pol(evalstart12) = 1

	Pol(evalstartcritedgein) = 0

	Pol(evalstart13) = 1

and size complexities

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-3) = Ar_3

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-4) = Ar_4

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-5) = Ar_5

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]", 0-6) = Ar_6

	S("evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = 2*Ar_1

	S("evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = ?

	S("evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = 2*Ar_1 + 2*Ar_3

	S("evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = ?

	S("evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = ?

	S("evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = ?

	S("evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))", 0-0) = 2*Ar_1

	S("evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))", 0-1) = Ar_1

	S("evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))", 0-2) = ?

	S("evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))", 0-3) = 2*Ar_1

	S("evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))", 0-4) = ?

	S("evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))", 0-5) = ?

	S("evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))", 0-6) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]", 0-0) = 2*Ar_1

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]", 0-1) = Ar_1

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]", 0-2) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]", 0-3) = 2*Ar_1

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]", 0-4) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]", 0-5) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]", 0-6) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]", 0-0) = 2*Ar_1

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]", 0-1) = Ar_1

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]", 0-2) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]", 0-3) = 2*Ar_1

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]", 0-4) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]", 0-5) = ?

	S("evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]", 0-6) = ?

	S("evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))", 0-0) = 2*Ar_1

	S("evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))", 0-1) = Ar_1

	S("evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))", 0-2) = ?

	S("evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))", 0-3) = 2*Ar_1

	S("evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))", 0-4) = ?

	S("evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))", 0-5) = ?

	S("evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))", 0-6) = ?

	S("evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = 2*Ar_1

	S("evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = ?

	S("evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = 2*Ar_1

	S("evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = ?

	S("evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = ?

	S("evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]", 0-0) = 2*Ar_1

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]", 0-1) = Ar_1

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]", 0-2) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]", 0-3) = 2*Ar_1

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]", 0-4) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]", 0-5) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]", 0-6) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]", 0-0) = 2*Ar_1

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]", 0-1) = Ar_1

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]", 0-2) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]", 0-3) = 2*Ar_1

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]", 0-4) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]", 0-5) = ?

	S("evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]", 0-6) = ?

	S("evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = 2*Ar_1

	S("evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = ?

	S("evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = 2*Ar_1

	S("evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = ?

	S("evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = ?

	S("evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]", 0-0) = 2*Ar_1

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]", 0-1) = Ar_1

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]", 0-2) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]", 0-3) = 2*Ar_1

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]", 0-4) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]", 0-5) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]", 0-6) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]", 0-0) = 2*Ar_1

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]", 0-1) = Ar_1

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]", 0-2) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]", 0-3) = 2*Ar_1

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]", 0-4) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]", 0-5) = ?

	S("evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]", 0-6) = ?

	S("evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))", 0-0) = 2*Ar_1

	S("evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))", 0-2) = ?

	S("evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))", 0-3) = 2*Ar_1

	S("evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))", 0-4) = ?

	S("evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))", 0-5) = ?

	S("evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))", 0-6) = ?

	S("evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))", 0-0) = 2*Ar_1

	S("evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))", 0-2) = ?

	S("evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))", 0-3) = 2*Ar_1

	S("evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))", 0-4) = ?

	S("evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))", 0-5) = ?

	S("evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))", 0-6) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]", 0-0) = 2*Ar_1

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]", 0-1) = Ar_1

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]", 0-2) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]", 0-3) = 2*Ar_1 + 2*Ar_3

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]", 0-4) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]", 0-5) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]", 0-6) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]", 0-0) = 2*Ar_1

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]", 0-1) = Ar_1

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]", 0-2) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]", 0-3) = 2*Ar_1 + 2*Ar_3

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]", 0-4) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]", 0-5) = ?

	S("evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]", 0-6) = ?

	S("evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_1

	S("evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = 0

	S("evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

	S("evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-0) = Ar_0

	S("evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-1) = Ar_1

	S("evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-2) = Ar_2

	S("evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-3) = Ar_3

	S("evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-4) = Ar_4

	S("evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-5) = Ar_5

	S("evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))", 0-6) = Ar_6

orients the transitions

	evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))

	evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

	evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

	evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]

	evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

	evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]

	evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))

weakly and the transitions

	evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

	evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

strictly and produces the following problem:

6:	T:

		(Comp: 1, Cost: 1)       evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: Ar_1, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_0 >= 1 ]

		(Comp: 2, Cost: 1)       evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_0 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6))

		(Comp: Ar_1, Cost: 1)    evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6))

		(Comp: Ar_1, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 >= 1 ]

		(Comp: Ar_1, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ 0 >= Ar_4 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_5 >= 1 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)       evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: ?, Cost: 1)       evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0))

		(Comp: ?, Cost: 1)       evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_6 >= 1 ]

		(Comp: Ar_1, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)       evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6))

		(Comp: 2, Cost: 1)       evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Applied AI with 'oct' on problem 6 to obtain the following invariants:

  For symbol evalstart12: X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstart13: X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstart8: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstart9: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstartbb1in: X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstartbb2in: X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstartbb3in: X_3 - X_6 >= 0 /\ X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_4 + X_6 >= 0 /\ X_3 + X_6 >= 0 /\ X_2 + X_6 - 1 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstartbb4in: X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstartbb5in: X_7 - 1 >= 0 /\ X_6 + X_7 - 2 >= 0 /\ -X_5 + X_7 - 1 >= 0 /\ X_4 + X_7 - 1 >= 0 /\ X_3 + X_7 - 2 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ X_3 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ -X_5 + X_6 - 1 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 2 >= 0 /\ X_1 + X_6 - 2 >= 0 /\ -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_1 + X_4 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalstartbb6in: X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 >= 0

  For symbol evalstartcritedgein: X_3 >= 0 /\ -X_1 + X_2 >= 0





This yielded the following problem:

7:	T:

		(Comp: 1, Cost: 0)       koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]

		(Comp: 2, Cost: 1)       evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 ]

		(Comp: ?, Cost: 1)       evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 2 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)       evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= 1 ]

		(Comp: ?, Cost: 1)       evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)       evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)       evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_4 ]

		(Comp: Ar_1, Cost: 1)    evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= 1 ]

		(Comp: Ar_1, Cost: 1)    evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)    evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2, Cost: 1)       evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ 0 >= Ar_0 ]

		(Comp: Ar_1, Cost: 1)    evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)       evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)       evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(koat_start) = 5*V_2

	Pol(evalstartstart) = 5*V_2

	Pol(evalstartbb6in) = 5*V_1

	Pol(evalstartstop) = 5*V_1

	Pol(evalstartbb5in) = 2*V_1 + 3*V_4 + 5*V_6 - 1

	Pol(evalstartbb3in) = 5*V_1 + 5*V_6

	Pol(evalstart13) = 2*V_1 + 3*V_4 + 5*V_6

	Pol(evalstartcritedgein) = 5*V_1 + 5*V_3

	Pol(evalstart12) = 5*V_1 + 5*V_6 - 2

	Pol(evalstartbb4in) = 5*V_1 + 5*V_6 - 1

	Pol(evalstartbb2in) = 5*V_3 + 5*V_4 + 5

	Pol(evalstart9) = 5*V_1 + 5*V_3

	Pol(evalstart8) = 5*V_1 + 5*V_3

	Pol(evalstartbb1in) = 5*V_1 + 5*V_3

	Pol(evalstart6) = 5*V_2

	Pol(evalstart5) = 5*V_2

	Pol(evalstart4) = 5*V_2

	Pol(evalstart3) = 5*V_2

	Pol(evalstart2) = 5*V_2

	Pol(evalstart1) = 5*V_2

	Pol(evalstart0) = 5*V_2

	Pol(evalstartbb0in) = 5*V_2

orients all transitions weakly and the transitions

	evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 2 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

	evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

	evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

	evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= 1 ]

	evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

strictly and produces the following problem:

8:	T:

		(Comp: 1, Cost: 0)         koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ 0 <= 0 ]

		(Comp: 2, Cost: 1)         evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ -Ar_0 >= 0 ]

		(Comp: 5*Ar_1, Cost: 1)    evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5 - 1, Ar_6)) [ Ar_6 - 1 >= 0 /\ Ar_5 + Ar_6 - 2 >= 0 /\ -Ar_4 + Ar_6 - 1 >= 0 /\ Ar_3 + Ar_6 - 1 >= 0 /\ Ar_2 + Ar_6 - 2 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)      evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_6 ]

		(Comp: 5*Ar_1, Cost: 1)    evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= 1 ]

		(Comp: 5*Ar_1, Cost: 1)    evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart13(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Fresh_0)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 5*Ar_1, Cost: 1)    evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart12(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 - 1 >= 0 /\ -Ar_4 + Ar_5 - 1 >= 0 /\ Ar_3 + Ar_5 - 1 >= 0 /\ Ar_2 + Ar_5 - 2 >= 0 /\ Ar_1 + Ar_5 - 2 >= 0 /\ Ar_0 + Ar_5 - 2 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ Ar_0 + Ar_2 - 2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)      evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_5, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 ]

		(Comp: 5*Ar_1, Cost: 1)    evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 - Ar_5 >= 0 /\ Ar_5 >= 0 /\ -Ar_4 + Ar_5 >= 0 /\ Ar_3 + Ar_5 >= 0 /\ Ar_2 + Ar_5 >= 0 /\ Ar_1 + Ar_5 - 1 >= 0 /\ Ar_0 + Ar_5 - 1 >= 0 /\ -Ar_4 >= 0 /\ Ar_3 - Ar_4 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_1 - Ar_4 - 1 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

		(Comp: Ar_1, Cost: 1)      evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_3, Ar_1, Ar_2 + 1, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)      evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_2, Ar_6)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_4 ]

		(Comp: Ar_1, Cost: 1)      evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= 1 ]

		(Comp: Ar_1, Cost: 1)      evalstart8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart9(Ar_0, Ar_1, Ar_2, Ar_3, Fresh_1, Ar_5, Ar_6)) [ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_0 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 1 >= 0 /\ -Ar_0 + Ar_3 + 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: Ar_1, Cost: 1)      evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart8(Ar_0, Ar_1, Ar_2, Ar_0 - 1, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2, Cost: 1)         evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ 0 >= Ar_0 ]

		(Comp: Ar_1, Cost: 1)      evalstartcritedgein(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6)) [ Ar_2 >= 0 /\ -Ar_0 + Ar_1 >= 0 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)         evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartcritedgein(Ar_1, Ar_1, 0, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstart0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

		(Comp: 1, Cost: 1)         evalstartstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6) -> Com_1(evalstartbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6))

	start location:	koat_start

	leaf cost:	0



Complexity upper bound 33*Ar_1 + 13



Time: 0.927 sec (SMT: 0.557 sec)


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

(2)
BOUNDS(1, n^1)

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

(3) Loat Proof (FINISHED)


### Pre-processing the ITS problem ###



Initial linear ITS problem

   Start location: evalstartstart

      0: evalstartstart -> evalstartbb0in : [], cost: 1

      1: evalstartbb0in -> evalstart0 : [], cost: 1

      2: evalstart0 -> evalstart1 : [], cost: 1

      3: evalstart1 -> evalstart2 : [], cost: 1

      4: evalstart2 -> evalstart3 : [], cost: 1

      5: evalstart3 -> evalstart4 : [], cost: 1

      6: evalstart4 -> evalstart5 : [], cost: 1

      7: evalstart5 -> evalstart6 : [], cost: 1

      8: evalstart6 -> evalstartcritedgein : A'=B, C'=0, [], cost: 1

      9: evalstartcritedgein -> evalstartbb1in : [ A>=1 ], cost: 1

     10: evalstartcritedgein -> evalstartbb6in : [ 0>=A ], cost: 1

     11: evalstartbb1in -> evalstart8 : D'=-1+A, [], cost: 1

     12: evalstart8 -> evalstart9 : E'=free, [], cost: 1

     13: evalstart9 -> evalstartbb2in : [ E>=1 ], cost: 1

     14: evalstart9 -> evalstartbb3in : F'=C, [ 0>=E ], cost: 1

     15: evalstartbb2in -> evalstartcritedgein : A'=D, C'=1+C, [], cost: 1

     16: evalstartbb3in -> evalstartbb4in : [ F>=1 ], cost: 1

     17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1

     18: evalstartbb4in -> evalstart12 : [], cost: 1

     19: evalstart12 -> evalstart13 : G'=free_1, [], cost: 1

     20: evalstart13 -> evalstartbb5in : [ G>=1 ], cost: 1

     21: evalstart13 -> evalstartcritedgein : A'=D, C'=F, [ 0>=G ], cost: 1

     22: evalstartbb5in -> evalstartbb3in : F'=-1+F, [], cost: 1

     23: evalstartbb6in -> evalstartstop : [], cost: 1



Checking for constant complexity:

   The following rule is satisfiable with cost >= 1, yielding constant complexity:

      0: evalstartstart -> evalstartbb0in : [], cost: 1



Removed unreachable and leaf rules:

   Start location: evalstartstart

      0: evalstartstart -> evalstartbb0in : [], cost: 1

      1: evalstartbb0in -> evalstart0 : [], cost: 1

      2: evalstart0 -> evalstart1 : [], cost: 1

      3: evalstart1 -> evalstart2 : [], cost: 1

      4: evalstart2 -> evalstart3 : [], cost: 1

      5: evalstart3 -> evalstart4 : [], cost: 1

      6: evalstart4 -> evalstart5 : [], cost: 1

      7: evalstart5 -> evalstart6 : [], cost: 1

      8: evalstart6 -> evalstartcritedgein : A'=B, C'=0, [], cost: 1

      9: evalstartcritedgein -> evalstartbb1in : [ A>=1 ], cost: 1

     11: evalstartbb1in -> evalstart8 : D'=-1+A, [], cost: 1

     12: evalstart8 -> evalstart9 : E'=free, [], cost: 1

     13: evalstart9 -> evalstartbb2in : [ E>=1 ], cost: 1

     14: evalstart9 -> evalstartbb3in : F'=C, [ 0>=E ], cost: 1

     15: evalstartbb2in -> evalstartcritedgein : A'=D, C'=1+C, [], cost: 1

     16: evalstartbb3in -> evalstartbb4in : [ F>=1 ], cost: 1

     17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1

     18: evalstartbb4in -> evalstart12 : [], cost: 1

     19: evalstart12 -> evalstart13 : G'=free_1, [], cost: 1

     20: evalstart13 -> evalstartbb5in : [ G>=1 ], cost: 1

     21: evalstart13 -> evalstartcritedgein : A'=D, C'=F, [ 0>=G ], cost: 1

     22: evalstartbb5in -> evalstartbb3in : F'=-1+F, [], cost: 1



### Simplification by acceleration and chaining ###



Eliminated locations (on linear paths):

   Start location: evalstartstart

     31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9

     33: evalstartcritedgein -> evalstart9 : D'=-1+A, E'=free, [ A>=1 ], cost: 3

     14: evalstart9 -> evalstartbb3in : F'=C, [ 0>=E ], cost: 1

     34: evalstart9 -> evalstartcritedgein : A'=D, C'=1+C, [ E>=1 ], cost: 2

     17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1

     36: evalstartbb3in -> evalstart13 : G'=free_1, [ F>=1 ], cost: 3

     21: evalstart13 -> evalstartcritedgein : A'=D, C'=F, [ 0>=G ], cost: 1

     37: evalstart13 -> evalstartbb3in : F'=-1+F, [ G>=1 ], cost: 2



Eliminated locations (on tree-shaped paths):

   Start location: evalstartstart

     31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9

     38: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free ], cost: 4

     39: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=1+C, D'=-1+A, E'=free, [ A>=1 && free>=1 ], cost: 5

     17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1

     40: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, G'=free_1, [ F>=1 && 0>=free_1 ], cost: 4

     41: evalstartbb3in -> evalstartbb3in : F'=-1+F, G'=free_1, [ F>=1 && free_1>=1 ], cost: 5



Accelerating simple loops of location 9.

   Accelerating the following rules:

     39: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=1+C, D'=-1+A, E'=free, [ A>=1 && free>=1 ], cost: 5



   Accelerated rule 39 with metering function A, yielding the new rule 42.

   Removing the simple loops: 39.



Accelerating simple loops of location 14.

   Accelerating the following rules:

     41: evalstartbb3in -> evalstartbb3in : F'=-1+F, G'=free_1, [ F>=1 && free_1>=1 ], cost: 5



   Accelerated rule 41 with metering function F, yielding the new rule 43.

   Removing the simple loops: 41.



Accelerated all simple loops using metering functions (where possible):

   Start location: evalstartstart

     31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9

     38: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free ], cost: 4

     42: evalstartcritedgein -> evalstartcritedgein : A'=0, C'=C+A, D'=0, E'=free, [ A>=1 && free>=1 ], cost: 5*A

     17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1

     40: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, G'=free_1, [ F>=1 && 0>=free_1 ], cost: 4

     43: evalstartbb3in -> evalstartbb3in : F'=0, G'=free_1, [ F>=1 && free_1>=1 ], cost: 5*F



Chained accelerated rules (with incoming rules):

   Start location: evalstartstart

     31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9

     45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B

     38: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free ], cost: 4

     47: evalstartcritedgein -> evalstartbb3in : D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C

     17: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, [ 0>=F ], cost: 1

     40: evalstartbb3in -> evalstartcritedgein : A'=D, C'=F, G'=free_1, [ F>=1 && 0>=free_1 ], cost: 4

     44: evalstartbb3in -> evalstartcritedgein : A'=0, C'=F+D, D'=0, E'=free, [ 0>=F && D>=1 && free>=1 ], cost: 1+5*D

     46: evalstartbb3in -> evalstartcritedgein : A'=0, C'=F+D, D'=0, E'=free, G'=free_1, [ F>=1 && 0>=free_1 && D>=1 && free>=1 ], cost: 4+5*D



Eliminated locations (on tree-shaped paths):

   Start location: evalstartstart

     31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9

     45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B

     48: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=C, D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free && 0>=C ], cost: 5

     49: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=C, D'=-1+A, E'=free, F'=C, G'=free_1, [ A>=1 && 0>=free && C>=1 && 0>=free_1 ], cost: 8

     50: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=0, D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 5+5*C

     51: evalstartcritedgein -> [23] : [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C



Accelerating simple loops of location 9.

   Simplified some of the simple loops (and removed duplicate rules).

   Accelerating the following rules:

     48: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, D'=-1+A, E'=free, F'=C, [ A>=1 && 0>=free && 0>=C ], cost: 5

     49: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, D'=-1+A, E'=free, F'=C, G'=free_1, [ A>=1 && 0>=free && C>=1 && 0>=free_1 ], cost: 8

     50: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=0, D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 5+5*C



   Accelerated rule 48 with metering function A, yielding the new rule 52.

   Accelerated rule 49 with metering function A, yielding the new rule 53.

   Found no metering function for rule 50.

   Removing the simple loops: 48 49.



Accelerated all simple loops using metering functions (where possible):

   Start location: evalstartstart

     31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9

     45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B

     50: evalstartcritedgein -> evalstartcritedgein : A'=-1+A, C'=0, D'=-1+A, E'=free, F'=0, G'=free_1, [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 5+5*C

     51: evalstartcritedgein -> [23] : [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C

     52: evalstartcritedgein -> evalstartcritedgein : A'=0, D'=0, E'=free, F'=C, [ A>=1 && 0>=free && 0>=C ], cost: 5*A

     53: evalstartcritedgein -> evalstartcritedgein : A'=0, D'=0, E'=free, F'=C, G'=free_1, [ A>=1 && 0>=free && C>=1 && 0>=free_1 ], cost: 8*A



Chained accelerated rules (with incoming rules):

   Start location: evalstartstart

     31: evalstartstart -> evalstartcritedgein : A'=B, C'=0, [], cost: 9

     45: evalstartstart -> evalstartcritedgein : A'=0, C'=B, D'=0, E'=free, [ B>=1 && free>=1 ], cost: 9+5*B

     54: evalstartstart -> evalstartcritedgein : A'=0, C'=0, D'=0, E'=free, F'=0, [ B>=1 && 0>=free ], cost: 9+5*B

     51: evalstartcritedgein -> [23] : [ A>=1 && 0>=free && C>=1 && free_1>=1 ], cost: 4+5*C



Eliminated locations (on tree-shaped paths):

   Start location: evalstartstart

     55: evalstartstart -> [25] : [ B>=1 && free>=1 ], cost: 9+5*B

     56: evalstartstart -> [25] : [ B>=1 && 0>=free ], cost: 9+5*B



Applied pruning (of leafs and parallel rules):

   Start location: evalstartstart

     55: evalstartstart -> [25] : [ B>=1 && free>=1 ], cost: 9+5*B

     56: evalstartstart -> [25] : [ B>=1 && 0>=free ], cost: 9+5*B



### Computing asymptotic complexity ###



Fully simplified ITS problem

   Start location: evalstartstart

     55: evalstartstart -> [25] : [ B>=1 && free>=1 ], cost: 9+5*B

     56: evalstartstart -> [25] : [ B>=1 && 0>=free ], cost: 9+5*B



Computing asymptotic complexity for rule 55

   Solved the limit problem by the following transformations:

      Created initial limit problem:

      9+5*B (+), B (+/+!), free (+/+!) [not solved]



      removing all constraints (solved by SMT)

      resulting limit problem: [solved]



      applying transformation rule (C) using substitution {B==n,free==n}

      resulting limit problem:

      [solved]



   Solution:

      B / n

      free / n

   Resulting cost 9+5*n has complexity: Poly(n^1)



Found new complexity Poly(n^1).



Obtained the following overall complexity (w.r.t. the length of the input n):

   Complexity:  Poly(n^1)

   Cpx degree:  1

   Solved cost: 9+5*n

   Rule cost:   9+5*B

   Rule guard:  [ B>=1 && free>=1 ]



WORST_CASE(Omega(n^1),?)


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

(4)
BOUNDS(n^1, INF)