/export/starexec/sandbox2/solver/bin/starexec_run_complexity /export/starexec/sandbox2/benchmark/theBenchmark.koat /export/starexec/sandbox2/output/output_files


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WORST_CASE(?, O(n^1))
proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 2242 ms]
(2) BOUNDS(1, n^1)


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

(0)
Obligation:
Complexity Int TRS consisting of the following rules:
eval_heapsort_start(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb0_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_bb0_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_0(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_0(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_1(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_1(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_2(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_2(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_3(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_3(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_4(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_4(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_5(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_5(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_6(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_6(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_7(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_7(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_8(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_8(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_9(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_9(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb1_in(v_13, v_2, v_4, v_8, 1, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_bb1_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb2_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_size > 0 && v_i_0 >= 1
eval_heapsort_bb1_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_size <= 0
eval_heapsort_bb1_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_i_0 < 1
eval_heapsort_bb2_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb3_in(v_13, 2 * v_i_0, 2 * v_i_0 + 1, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: 2 * v_i_0 <= v_size
eval_heapsort_bb2_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb5_in(v_13, 2 * v_i_0, 2 * v_i_0 + 1, v_8, v_i_0, v_i_0, v_max_3, v_size)) :|: 2 * v_i_0 > v_size
eval_heapsort_bb3_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_2 < 1
eval_heapsort_bb3_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_2 > v_size
eval_heapsort_bb3_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb4_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_2 >= 1 && v_2 <= v_size
eval_heapsort_bb4_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_14(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_14(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_15(v_13, v_2, v_4, nondef_0, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_15(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb5_in(v_13, v_2, v_4, v_8, v_i_0, v_2, v_max_3, v_size)) :|: v_8 > 0
eval_heapsort_15(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb5_in(v_13, v_2, v_4, v_8, v_i_0, v_i_0, v_max_3, v_size)) :|: v_8 <= 0
eval_heapsort_bb5_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb6_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_4 <= v_size
eval_heapsort_bb5_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb8_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_1, v_size)) :|: v_4 > v_size
eval_heapsort_bb6_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_4 < 1
eval_heapsort_bb6_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_4 > v_size
eval_heapsort_bb6_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb7_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_4 >= 1 && v_4 <= v_size
eval_heapsort_bb7_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_17(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_17(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_18(nondef_1, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE
eval_heapsort_18(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb8_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_4, v_size)) :|: v_13 > 0
eval_heapsort_18(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb8_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_1, v_size)) :|: v_13 <= 0
eval_heapsort_bb8_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb9_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_i_0 < v_max_3
eval_heapsort_bb8_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb9_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_i_0 > v_max_3
eval_heapsort_bb8_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_i_0 >= v_max_3 && v_i_0 <= v_max_3
eval_heapsort_bb9_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_i_0 < 1
eval_heapsort_bb9_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_i_0 > v_size
eval_heapsort_bb9_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb10_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_i_0 >= 1 && v_i_0 <= v_size
eval_heapsort_bb10_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_max_3 < 1
eval_heapsort_bb10_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: v_max_3 > v_size
eval_heapsort_bb10_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_bb1_in(v_13, v_2, v_4, v_8, v_max_3, v_max_1, v_max_3, v_size)) :|: v_max_3 >= 1 && v_max_3 <= v_size
eval_heapsort_bb11_in(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size) -> Com_1(eval_heapsort_stop(v_13, v_2, v_4, v_8, v_i_0, v_max_1, v_max_3, v_size)) :|: TRUE

The start-symbols are:[eval_heapsort_start_8]


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

(1) Koat Proof (FINISHED)
YES(?, 576*Ar_1 + 25)



Initial complexity problem:

1:	T:

		(Comp: ?, Cost: 1)    evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 2*Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_3 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0))

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_7 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ 0 >= Ar_7 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 = Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Testing for reachability in the complexity graph removes the following transitions from problem 1:

	evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 ]

	evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= Ar_1 + 1 ]

	evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= Ar_1 + 1 ]

We thus obtain the following problem:

2:	T:

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ 0 >= Ar_7 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_7 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0))

		(Comp: ?, Cost: 1)    evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 = Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_3 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 2*Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 2 produces the following problem:

3:	T:

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ 0 >= Ar_7 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_7 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0))

		(Comp: ?, Cost: 1)    evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 = Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_3 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 2*Ar_0 ]

		(Comp: 1, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)    evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalheapsort18) = 2

	Pol(evalheapsortbb8in) = 2

	Pol(evalheapsort17) = 2

	Pol(evalheapsortbb7in) = 2

	Pol(evalheapsortbb6in) = 2

	Pol(evalheapsortbb11in) = 1

	Pol(evalheapsortbb5in) = 2

	Pol(evalheapsortbb10in) = 2

	Pol(evalheapsortbb1in) = 2

	Pol(evalheapsort15) = 2

	Pol(evalheapsortbb9in) = 2

	Pol(evalheapsort14) = 2

	Pol(evalheapsortbb4in) = 2

	Pol(evalheapsortbb3in) = 2

	Pol(evalheapsortstop) = 0

	Pol(evalheapsortbb2in) = 2

	Pol(evalheapsort9) = 2

	Pol(evalheapsort8) = 2

	Pol(evalheapsort7) = 2

	Pol(evalheapsort6) = 2

	Pol(evalheapsort5) = 2

	Pol(evalheapsort4) = 2

	Pol(evalheapsort3) = 2

	Pol(evalheapsort2) = 2

	Pol(evalheapsort1) = 2

	Pol(evalheapsort0) = 2

	Pol(evalheapsortbb0in) = 2

	Pol(evalheapsortstart) = 2

	Pol(koat_start) = 2

orients all transitions weakly and the transitions

	evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]

	evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 ]

	evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 = Ar_6 ]

	evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_3 ]

	evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_2 ]

	evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

	evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_1 + 1 ]

	evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_6 ]

strictly and produces the following problem:

4:	T:

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ 0 >= Ar_7 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_7 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0))

		(Comp: ?, Cost: 1)    evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: 2, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: 2, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_1 + 1 ]

		(Comp: 2, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_5 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: 2, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_1 + 1 ]

		(Comp: 2, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7))

		(Comp: 2, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 = Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 >= Ar_6 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 >= Ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_3 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: 2, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_2 ]

		(Comp: 2, Cost: 1)    evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 2*Ar_0 ]

		(Comp: 1, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)    evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



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

  For symbol evalheapsort14: X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 5 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 4 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsort15: X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 5 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 4 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsort17: X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 4 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_2 - X_4 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 6 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 3 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsort18: X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 4 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_2 - X_4 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 6 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 3 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb10in: X_7 - 2 >= 0 /\ X_5 + X_7 - 3 >= 0 /\ X_4 + X_7 - 5 >= 0 /\ X_3 + X_7 - 4 >= 0 /\ X_2 + X_7 - 3 >= 0 /\ X_1 + X_7 - 3 >= 0 /\ -X_1 + X_7 - 1 >= 0 /\ X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 4 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 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 evalheapsortbb11in: X_1 - 1 >= 0

  For symbol evalheapsortbb1in: X_1 - 1 >= 0

  For symbol evalheapsortbb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb3in: X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 5 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 4 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb4in: X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 5 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_2 - X_3 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 4 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb5in: X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 4 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb6in: X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 4 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_2 - X_4 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 6 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 3 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb7in: X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 4 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_2 - X_4 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 6 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 5 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 3 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb8in: X_7 - 1 >= 0 /\ X_5 + X_7 - 2 >= 0 /\ X_4 + X_7 - 4 >= 0 /\ X_3 + X_7 - 3 >= 0 /\ X_2 + X_7 - 2 >= 0 /\ X_1 + X_7 - 2 >= 0 /\ -X_1 + X_7 >= 0 /\ X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 4 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalheapsortbb9in: X_7 - 2 >= 0 /\ X_5 + X_7 - 3 >= 0 /\ X_4 + X_7 - 5 >= 0 /\ X_3 + X_7 - 4 >= 0 /\ X_2 + X_7 - 3 >= 0 /\ X_1 + X_7 - 3 >= 0 /\ -X_1 + X_7 - 1 >= 0 /\ X_3 - X_5 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 4 >= 0 /\ X_3 + X_5 - 3 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_4 - 3 >= 0 /\ X_3 + X_4 - 5 >= 0 /\ X_2 + X_4 - 4 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ -X_1 + X_4 - 2 >= 0 /\ X_3 - 2 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0





This yielded the following problem:

5:	T:

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

		(Comp: 1, Cost: 1)    evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2*Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: 2, Cost: 1)    evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 ]

		(Comp: 2, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= Ar_0 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_6 + 1 ]

		(Comp: 2, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 = Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_0 ]

		(Comp: 2, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 ]

		(Comp: 2, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 ]

		(Comp: 2, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 ]

		(Comp: 2, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)    evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_7 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_7 ]

	start location:	koat_start

	leaf cost:	0



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

	evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_2 ]

	evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_6 + 1 ]

	evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_0 ]

	evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 ]

	evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_3 ]

We thus obtain the following problem:

6:	T:

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

		(Comp: 1, Cost: 1)    evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)    evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)    evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2*Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: 2, Cost: 1)    evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= Ar_0 + 1 ]

		(Comp: 2, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 = Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 ]

		(Comp: 2, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= Ar_1 + 1 ]

		(Comp: ?, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: ?, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: ?, Cost: 1)    evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)    evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_7 >= 1 ]

		(Comp: ?, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_7 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(koat_start) = 24*V_2

	Pol(evalheapsortstart) = 24*V_2

	Pol(evalheapsortbb0in) = 24*V_2

	Pol(evalheapsort0) = 24*V_2

	Pol(evalheapsort1) = 24*V_2

	Pol(evalheapsort2) = 24*V_2

	Pol(evalheapsort3) = 24*V_2

	Pol(evalheapsort4) = 24*V_2

	Pol(evalheapsort5) = 24*V_2

	Pol(evalheapsort6) = 24*V_2

	Pol(evalheapsort7) = 24*V_2

	Pol(evalheapsort8) = 24*V_2

	Pol(evalheapsort9) = 24*V_2

	Pol(evalheapsortbb1in) = -24*V_1 + 24*V_2 + 21

	Pol(evalheapsortbb2in) = -24*V_1 + 24*V_2 + 21

	Pol(evalheapsortbb11in) = -24*V_1 + 24*V_2 - 1

	Pol(evalheapsortbb3in) = -24*V_1 + 24*V_2 + 19

	Pol(evalheapsortbb5in) = -24*V_1 + 24*V_2 + 11

	Pol(evalheapsortstop) = -24*V_1 + 24*V_2 - 1

	Pol(evalheapsortbb4in) = -24*V_1 + 24*V_2 + 17

	Pol(evalheapsortbb8in) = -24*V_1 + 24*V_2 + 1

	Pol(evalheapsort14) = -24*V_1 + 24*V_2 + 15

	Pol(evalheapsortbb9in) = -24*V_1 + 24*V_2 + 1

	Pol(evalheapsort15) = -24*V_1 + 24*V_2 + 13

	Pol(evalheapsortbb10in) = -24*V_1 + 24*V_2 - 1

	Pol(evalheapsortbb6in) = -24*V_1 + 24*V_2 + 9

	Pol(evalheapsortbb7in) = -24*V_1 + 24*V_2 + 7

	Pol(evalheapsort17) = -24*V_1 + 24*V_2 + 5

	Pol(evalheapsort18) = -24*V_1 + 24*V_2 + 3

orients all transitions weakly and the transitions

	evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

	evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

	evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

	evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 ]

	evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

	evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

	evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2*Ar_0 ]

	evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= 1 /\ Ar_1 >= Ar_6 ]

	evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_7 ]

	evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_7 >= 1 ]

	evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

	evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

	evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 ]

	evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

strictly and produces 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, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

		(Comp: 1, Cost: 1)          evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)          evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: ?, Cost: 1)          evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)          evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ 0 >= Ar_1 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2*Ar_0 ]

		(Comp: ?, Cost: 1)          evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: 2, Cost: 1)          evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: ?, Cost: 1)          evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 + 1 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)          evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= Ar_0 + 1 ]

		(Comp: 2, Cost: 1)          evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 = Ar_6 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2, Cost: 1)          evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 + 1 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 ]

		(Comp: 2, Cost: 1)          evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= Ar_1 + 1 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_7 >= 1 ]

		(Comp: 24*Ar_1, Cost: 1)    evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_7 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 7 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, Ar_7) -> Com_1(evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ 0 <= 0 ]

		(Comp: 1, Cost: 1)               evalheapsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsortbb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort0(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort1(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort2(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort3(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort4(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort5(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort6(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort7(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort8(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 1, Cost: 1)               evalheapsort9(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(1, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7))

		(Comp: 24*Ar_1 + 1, Cost: 1)     evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ Ar_1 >= 1 /\ Ar_0 >= 1 ]

		(Comp: 1, Cost: 1)               evalheapsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 /\ 0 >= Ar_1 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb3in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= 2*Ar_0 ]

		(Comp: 24*Ar_1 + 1, Cost: 1)     evalheapsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, 2*Ar_0, 2*Ar_0 + 1, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 2*Ar_0 >= Ar_1 + 1 ]

		(Comp: 2, Cost: 1)               evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_0 - 1 >= 0 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_2 >= 1 /\ Ar_1 >= Ar_2 ]

		(Comp: 72*Ar_1 + 1, Cost: 1)     evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= Ar_1 + 1 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 120*Ar_1 + 1, Cost: 1)    evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_6 >= Ar_0 + 1 ]

		(Comp: 2, Cost: 1)               evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 1 >= 0 /\ Ar_4 + Ar_6 - 2 >= 0 /\ Ar_3 + Ar_6 - 4 >= 0 /\ Ar_2 + Ar_6 - 3 >= 0 /\ Ar_1 + Ar_6 - 2 >= 0 /\ Ar_0 + Ar_6 - 2 >= 0 /\ -Ar_0 + Ar_6 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 = Ar_6 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsort14(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Fresh_1, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2, Cost: 1)               evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= Ar_1 + 1 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_0 >= 1 /\ Ar_1 >= Ar_0 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_2, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_5 >= 1 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsort15(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_0, Ar_5, Ar_6, Ar_7)) [ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 5 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_1 - Ar_2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 4 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ -Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_5 ]

		(Comp: 2, Cost: 1)               evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= Ar_1 + 1 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb1in(Ar_6, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_6 - 2 >= 0 /\ Ar_4 + Ar_6 - 3 >= 0 /\ Ar_3 + Ar_6 - 5 >= 0 /\ Ar_2 + Ar_6 - 4 >= 0 /\ Ar_1 + Ar_6 - 3 >= 0 /\ Ar_0 + Ar_6 - 3 >= 0 /\ -Ar_0 + Ar_6 - 1 >= 0 /\ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 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_6 >= 1 /\ Ar_1 >= Ar_6 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 4 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_3 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_3 >= 1 /\ Ar_1 >= Ar_3 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsort17(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Fresh_0)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_3, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_7 >= 1 ]

		(Comp: 24*Ar_1, Cost: 1)         evalheapsort18(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_6, Ar_7) -> Com_1(evalheapsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4, Ar_5, Ar_4, Ar_7)) [ Ar_2 - Ar_4 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_3 + Ar_4 - 4 >= 0 /\ Ar_2 + Ar_4 - 3 >= 0 /\ Ar_1 + Ar_4 - 4 >= 0 /\ Ar_0 + Ar_4 - 2 >= 0 /\ -Ar_0 + Ar_4 >= 0 /\ Ar_1 - Ar_3 >= 0 /\ Ar_3 - 3 >= 0 /\ Ar_2 + Ar_3 - 5 >= 0 /\ Ar_1 + Ar_3 - 6 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ -Ar_0 + Ar_3 - 2 >= 0 /\ Ar_2 - 2 >= 0 /\ Ar_1 + Ar_2 - 5 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ -Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 3 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ -Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ 0 >= Ar_7 ]

	start location:	koat_start

	leaf cost:	0



Complexity upper bound 576*Ar_1 + 25



Time: 2.192 sec (SMT: 1.175 sec)


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

(2)
BOUNDS(1, n^1)