/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(Omega(n^1), O(n^2))
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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(n^1, n^2).

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 1010 ms]
(2) BOUNDS(1, n^2)
(3) Loat Proof [FINISHED, 3340 ms]
(4) BOUNDS(n^1, INF)


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

(0)
Obligation:
Complexity Int TRS consisting of the following rules:
eval_realheapsort_step2_start(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb0_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb0_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_0(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_0(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_1(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_1(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_2(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_2(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb1_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: v_N > 2
eval_realheapsort_step2_2(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb12_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: v_N <= 2
eval_realheapsort_step2_bb1_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_3(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_3(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_4(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_4(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_5(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_5(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_6(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_6(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_7(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_7(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_8(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_8(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_9(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_9(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_10(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_10(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_11(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_11(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_12(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_12(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb2_in(v_57, v_N, v_j_0, 0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb2_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb3_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: v_k_0 <= v_N - 2
eval_realheapsort_step2_bb2_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb12_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: v_k_0 > v_N - 2
eval_realheapsort_step2_bb3_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb4_in(v_57, v_N, 0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb4_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb5_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: 2 * v_j_0 + 1 <= v_N - v_k_0 - 2
eval_realheapsort_step2_bb4_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb11_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: 2 * v_j_0 + 1 > v_N - v_k_0 - 2
eval_realheapsort_step2_bb5_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb7_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: 2 * v_j_0 + 1 >= v_N - v_k_0 - 2 && 2 * v_j_0 + 1 <= v_N - v_k_0 - 2
eval_realheapsort_step2_bb5_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb6_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: 2 * v_j_0 + 1 < v_N - v_k_0 - 2
eval_realheapsort_step2_bb5_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb6_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: 2 * v_j_0 + 1 > v_N - v_k_0 - 2
eval_realheapsort_step2_bb6_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb7_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb6_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb8_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb7_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb9_in(v_57, v_N, v_j_0, v_k_0, 2 * v_j_0 + 1)) :|: TRUE
eval_realheapsort_step2_bb8_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb9_in(v_57, v_N, v_j_0, v_k_0, 2 * v_j_0 + 2)) :|: TRUE
eval_realheapsort_step2_bb9_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb10_in(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb9_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb4_in(v_57, v_N, v_N, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb10_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb4_in(v_57, v_N, v_m_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb11_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_58(v_k_0 + 1, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_58(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_59(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE
eval_realheapsort_step2_59(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_bb2_in(v_57, v_N, v_j_0, v_57, v_m_0)) :|: TRUE
eval_realheapsort_step2_bb12_in(v_57, v_N, v_j_0, v_k_0, v_m_0) -> Com_1(eval_realheapsort_step2_stop(v_57, v_N, v_j_0, v_k_0, v_m_0)) :|: TRUE

The start-symbols are:[eval_realheapsort_step2_start_5]


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

(1) Koat Proof (FINISHED)
YES(?, 128*Ar_0 + 60*Ar_0^2 + 89)



Initial complexity problem:

1:	T:

		(Comp: ?, Cost: 1)    evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

		(Comp: ?, Cost: 1)    evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



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

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

We thus obtain the following problem:

2:	T:

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 2 produces the following problem:

3:	T:

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

		(Comp: 1, Cost: 1)    evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: 1, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: 1, Cost: 1)    evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealheapsortstep2bb10in) = 2

	Pol(evalrealheapsortstep2bb4in) = 2

	Pol(evalrealheapsortstep259) = 2

	Pol(evalrealheapsortstep2bb2in) = 2

	Pol(evalrealheapsortstep2bb9in) = 2

	Pol(evalrealheapsortstep2bb8in) = 2

	Pol(evalrealheapsortstep258) = 2

	Pol(evalrealheapsortstep2bb6in) = 2

	Pol(evalrealheapsortstep2bb7in) = 2

	Pol(evalrealheapsortstep2bb11in) = 2

	Pol(evalrealheapsortstep2bb5in) = 2

	Pol(evalrealheapsortstep2bb3in) = 2

	Pol(evalrealheapsortstep2bb12in) = 1

	Pol(evalrealheapsortstep212) = 2

	Pol(evalrealheapsortstep211) = 2

	Pol(evalrealheapsortstep210) = 2

	Pol(evalrealheapsortstep29) = 2

	Pol(evalrealheapsortstep28) = 2

	Pol(evalrealheapsortstep27) = 2

	Pol(evalrealheapsortstep26) = 2

	Pol(evalrealheapsortstep25) = 2

	Pol(evalrealheapsortstep24) = 2

	Pol(evalrealheapsortstep23) = 2

	Pol(evalrealheapsortstep2stop) = 0

	Pol(evalrealheapsortstep2bb1in) = 2

	Pol(evalrealheapsortstep22) = 2

	Pol(evalrealheapsortstep21) = 2

	Pol(evalrealheapsortstep20) = 2

	Pol(evalrealheapsortstep2bb0in) = 2

	Pol(evalrealheapsortstep2start) = 2

	Pol(koat_start) = 2

orients all transitions weakly and the transitions

	evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

	evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

strictly and produces the following problem:

4:	T:

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

		(Comp: 1, Cost: 1)    evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)    evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: 1, Cost: 1)    evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: 1, Cost: 1)    evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealheapsortstep2bb9in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb4in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb10in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb8in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb7in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb6in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb5in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb11in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb3in) = V_1 - V_2

	Pol(evalrealheapsortstep2bb2in) = V_1 - V_2 + 1

	Pol(evalrealheapsortstep258) = V_1 - V_5 + 1

	Pol(evalrealheapsortstep259) = V_1 - V_5 + 1

and size complexities

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-1) = Ar_1

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-2) = Ar_2

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-3) = Ar_3

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-4) = Ar_4

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-1) = 0

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-4) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-4) = ?

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-2) = 0

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-4) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-4) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-4) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-4) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-1) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-2) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-3) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-4) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-2) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-4) = ?

orients the transitions

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

	evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

	evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

	evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

	evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

	evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

	evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

	evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

	evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

weakly and the transition

	evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

strictly and produces the following problem:

5:	T:

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)           evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

		(Comp: Ar_0 + 1, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

		(Comp: 1, Cost: 1)           evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)           evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: 1, Cost: 1)           evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: 1, Cost: 1)           evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 5 produces the following problem:

6:	T:

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)           evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: Ar_0 + 1, Cost: 1)    evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)           evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

		(Comp: Ar_0 + 1, Cost: 1)    evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

		(Comp: 1, Cost: 1)           evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)           evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: 1, Cost: 1)           evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: 1, Cost: 1)           evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 0)           koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealheapsortstep2bb9in) = 4

	Pol(evalrealheapsortstep2bb4in) = 4

	Pol(evalrealheapsortstep2bb10in) = 4

	Pol(evalrealheapsortstep2bb8in) = 4

	Pol(evalrealheapsortstep2bb7in) = 4

	Pol(evalrealheapsortstep2bb6in) = 4

	Pol(evalrealheapsortstep2bb5in) = 4

	Pol(evalrealheapsortstep2bb11in) = 3

	Pol(evalrealheapsortstep258) = 2

	Pol(evalrealheapsortstep259) = 1

	Pol(evalrealheapsortstep2bb2in) = 0

and size complexities

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-1) = Ar_1

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-2) = Ar_2

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-3) = Ar_3

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-4) = Ar_4

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-1) = 0

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-1) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-2) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-3) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]", 0-4) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-1) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]", 0-4) = ?

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-2) = 0

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-4) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-4) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-4) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-4) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-1) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-2) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-3) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))", 0-4) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-2) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-1) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))", 0-4) = ?

orients the transitions

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

	evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

	evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

	evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

	evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

	evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

	evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

weakly and the transitions

	evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

	evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

	evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

	evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

strictly and produces the following problem:

7:	T:

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4))

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4))

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4))

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1))

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: Ar_0 + 1, Cost: 1)      evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)             evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 + 1 >= Ar_0 ]

		(Comp: Ar_0 + 1, Cost: 1)      evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_1 + 2 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 2, Cost: 1)             evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

	start location:	koat_start

	leaf cost:	0



Applied AI with 'oct' on problem 7 to obtain the following invariants:

  For symbol evalrealheapsortstep210: X_1 - 3 >= 0

  For symbol evalrealheapsortstep211: X_1 - 3 >= 0

  For symbol evalrealheapsortstep212: X_1 - 3 >= 0

  For symbol evalrealheapsortstep23: X_1 - 3 >= 0

  For symbol evalrealheapsortstep24: X_1 - 3 >= 0

  For symbol evalrealheapsortstep25: X_1 - 3 >= 0

  For symbol evalrealheapsortstep258: X_2 - X_5 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ -X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep259: X_2 - X_5 + 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ -X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep26: X_1 - 3 >= 0

  For symbol evalrealheapsortstep27: X_1 - 3 >= 0

  For symbol evalrealheapsortstep28: X_1 - 3 >= 0

  For symbol evalrealheapsortstep29: X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb10in: X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb11in: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb1in: X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb2in: X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb3in: X_1 - X_2 - 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb4in: X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb5in: X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb6in: X_1 - X_3 - 4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - X_2 - 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 4 >= 0

  For symbol evalrealheapsortstep2bb7in: X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0

  For symbol evalrealheapsortstep2bb8in: X_1 - X_3 - 4 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_1 - X_2 - 4 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 4 >= 0

  For symbol evalrealheapsortstep2bb9in: X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ -X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 4 >= 0 /\ X_1 - X_3 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0





This yielded the following problem:

8:	T:

		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 2, Cost: 1)             evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)             evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: Ar_0 + 1, Cost: 1)      evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2 ]

		(Comp: 2, Cost: 1)             evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 + 1 >= Ar_0 ]

		(Comp: Ar_0 + 1, Cost: 1)      evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)    evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: ?, Cost: 1)             evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealheapsortstep2bb9in) = 6*V_1 - 6*V_3 + 1

	Pol(evalrealheapsortstep2bb4in) = 6*V_1 - 6*V_3 + 5

	Pol(evalrealheapsortstep2bb10in) = 6*V_1 - 6*V_3

	Pol(evalrealheapsortstep2bb8in) = 6*V_1 - 6*V_3 + 2

	Pol(evalrealheapsortstep2bb7in) = 6*V_1 - 6*V_3 + 2

	Pol(evalrealheapsortstep2bb6in) = 6*V_1 - 6*V_3 + 3

	Pol(evalrealheapsortstep2bb5in) = 6*V_1 - 6*V_3 + 4

and size complexities

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 256

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 65536

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\\ Ar_2 + Ar_3 - 1 >= 0 /\\ -Ar_2 + Ar_3 - 1 >= 0 /\\ Ar_1 + Ar_3 - 1 >= 0 /\\ Ar_0 + Ar_3 - 4 >= 0 /\\ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 1024

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 1 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ -Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 4 >= 0 /\\ Ar_0 - Ar_1 - 4 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 4 >= 0 /\\ Ar_0 - 4 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 256

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-2) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-3) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-2) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-3) = ?

	S("evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 262144

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-2) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-3) = ?

	S("evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 16384

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-2) = 0

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_0 - Ar_1 - 2 >= 0 /\\ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 4096

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-1) = 4*Ar_0 + 256

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-2) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-3) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_1 + 1 >= Ar_0 ]", 0-4) = 4*Ar_0 + 1024

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-1) = 4*Ar_0 + 64

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-2) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-3) = ?

	S("evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 3 >= 0 /\\ Ar_0 >= Ar_1 + 2 ]", 0-4) = 4*Ar_0 + 4*Ar_4 + 1024

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = 0

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = 4*Ar_0 + 4*Ar_1 + 1024

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = 4*Ar_0 + 4*Ar_4 + 4096

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-1) = Ar_1

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-2) = Ar_2

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-3) = Ar_3

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]", 0-4) = Ar_4

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-0) = Ar_0

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-1) = Ar_1

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-2) = Ar_2

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-3) = Ar_3

	S("evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]", 0-4) = Ar_4

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-1) = Ar_1

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-2) = Ar_2

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-3) = Ar_3

	S("evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-4) = Ar_4

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-0) = Ar_0

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-1) = Ar_1

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-2) = Ar_2

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-3) = Ar_3

	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]", 0-4) = Ar_4

orients the transitions

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

	evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

	evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

	evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

weakly and the transitions

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

	evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

	evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

	evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

	evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

	evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

strictly and produces the following problem:

9:	T:

		(Comp: 1, Cost: 0)                         koat_start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 <= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep2start(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                         evalrealheapsortstep2bb0in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                         evalrealheapsortstep20(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                         evalrealheapsortstep21(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                         evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 3 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep22(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 2 >= Ar_0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep2bb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 2, Cost: 1)                         evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2stop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                         evalrealheapsortstep23(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep24(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep25(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep26(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep27(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep28(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep29(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep210(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep211(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: 1, Cost: 1)                         evalrealheapsortstep212(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 - 3 >= 0 ]

		(Comp: Ar_0 + 1, Cost: 1)                  evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2 ]

		(Comp: 2, Cost: 1)                         evalrealheapsortstep2bb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb12in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_1 + 1 >= Ar_0 ]

		(Comp: Ar_0 + 1, Cost: 1)                  evalrealheapsortstep2bb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_0 - Ar_1 - 2 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 3 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)                evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ 2*Ar_2 + Ar_1 + 2 >= Ar_0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 = 2*Ar_2 + Ar_1 + 3 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 /\ Ar_0 >= Ar_1 + 2*Ar_2 + 4 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)                evalrealheapsortstep2bb11in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_1 + 1)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 1, Ar_4)) [ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)                evalrealheapsortstep258(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, 2*Ar_2 + 2, Ar_4)) [ Ar_0 - Ar_2 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 4 >= 0 /\ Ar_0 - Ar_1 - 4 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 4 >= 0 /\ Ar_0 - 4 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb9in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_0, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 4*Ar_0 + 4, Cost: 1)                evalrealheapsortstep259(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb2in(Ar_0, Ar_4, Ar_2, Ar_3, Ar_4)) [ Ar_1 - Ar_4 + 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 1 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ -Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 4 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

		(Comp: 6*Ar_0^2 + 11*Ar_0 + 5, Cost: 1)    evalrealheapsortstep2bb10in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealheapsortstep2bb4in(Ar_0, Ar_1, Ar_3, Ar_3, Ar_4)) [ Ar_3 - 1 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ -Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 - 4 >= 0 /\ Ar_0 - Ar_2 - 3 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 3 >= 0 /\ Ar_1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 3 >= 0 ]

	start location:	koat_start

	leaf cost:	0



Complexity upper bound 128*Ar_0 + 60*Ar_0^2 + 89



Time: 1.006 sec (SMT: 0.583 sec)


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

(2)
BOUNDS(1, n^2)

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

(3) Loat Proof (FINISHED)


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



Initial linear ITS problem

   Start location: evalrealheapsortstep2start

      0: evalrealheapsortstep2start -> evalrealheapsortstep2bb0in : [], cost: 1

      1: evalrealheapsortstep2bb0in -> evalrealheapsortstep20 : [], cost: 1

      2: evalrealheapsortstep20 -> evalrealheapsortstep21 : [], cost: 1

      3: evalrealheapsortstep21 -> evalrealheapsortstep22 : [], cost: 1

      4: evalrealheapsortstep22 -> evalrealheapsortstep2bb1in : [ A>=3 ], cost: 1

      5: evalrealheapsortstep22 -> evalrealheapsortstep2bb12in : [ 2>=A ], cost: 1

      6: evalrealheapsortstep2bb1in -> evalrealheapsortstep23 : [], cost: 1

      7: evalrealheapsortstep23 -> evalrealheapsortstep24 : [], cost: 1

      8: evalrealheapsortstep24 -> evalrealheapsortstep25 : [], cost: 1

      9: evalrealheapsortstep25 -> evalrealheapsortstep26 : [], cost: 1

     10: evalrealheapsortstep26 -> evalrealheapsortstep27 : [], cost: 1

     11: evalrealheapsortstep27 -> evalrealheapsortstep28 : [], cost: 1

     12: evalrealheapsortstep28 -> evalrealheapsortstep29 : [], cost: 1

     13: evalrealheapsortstep29 -> evalrealheapsortstep210 : [], cost: 1

     14: evalrealheapsortstep210 -> evalrealheapsortstep211 : [], cost: 1

     15: evalrealheapsortstep211 -> evalrealheapsortstep212 : [], cost: 1

     16: evalrealheapsortstep212 -> evalrealheapsortstep2bb2in : B'=0, [], cost: 1

     17: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb3in : [ A>=2+B ], cost: 1

     18: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb12in : [ 1+B>=A ], cost: 1

     19: evalrealheapsortstep2bb3in -> evalrealheapsortstep2bb4in : C'=0, [], cost: 1

     20: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb5in : [ A>=3+2*C+B ], cost: 1

     21: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb11in : [ 2+2*C+B>=A ], cost: 1

     22: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb7in : [ A==3+2*C+B ], cost: 1

     23: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb6in : [ A>=4+2*C+B ], cost: 1

     24: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb6in : [ 2+2*C+B>=A ], cost: 1

     25: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb7in : [], cost: 1

     26: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb8in : [], cost: 1

     27: evalrealheapsortstep2bb7in -> evalrealheapsortstep2bb9in : D'=1+2*C, [], cost: 1

     28: evalrealheapsortstep2bb8in -> evalrealheapsortstep2bb9in : D'=2+2*C, [], cost: 1

     29: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb10in : [], cost: 1

     30: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=A, [], cost: 1

     31: evalrealheapsortstep2bb10in -> evalrealheapsortstep2bb4in : C'=D, [], cost: 1

     32: evalrealheapsortstep2bb11in -> evalrealheapsortstep258 : E'=1+B, [], cost: 1

     33: evalrealheapsortstep258 -> evalrealheapsortstep259 : [], cost: 1

     34: evalrealheapsortstep259 -> evalrealheapsortstep2bb2in : B'=E, [], cost: 1

     35: evalrealheapsortstep2bb12in -> evalrealheapsortstep2stop : [], cost: 1



Checking for constant complexity:

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

      0: evalrealheapsortstep2start -> evalrealheapsortstep2bb0in : [], cost: 1



Removed unreachable and leaf rules:

   Start location: evalrealheapsortstep2start

      0: evalrealheapsortstep2start -> evalrealheapsortstep2bb0in : [], cost: 1

      1: evalrealheapsortstep2bb0in -> evalrealheapsortstep20 : [], cost: 1

      2: evalrealheapsortstep20 -> evalrealheapsortstep21 : [], cost: 1

      3: evalrealheapsortstep21 -> evalrealheapsortstep22 : [], cost: 1

      4: evalrealheapsortstep22 -> evalrealheapsortstep2bb1in : [ A>=3 ], cost: 1

      6: evalrealheapsortstep2bb1in -> evalrealheapsortstep23 : [], cost: 1

      7: evalrealheapsortstep23 -> evalrealheapsortstep24 : [], cost: 1

      8: evalrealheapsortstep24 -> evalrealheapsortstep25 : [], cost: 1

      9: evalrealheapsortstep25 -> evalrealheapsortstep26 : [], cost: 1

     10: evalrealheapsortstep26 -> evalrealheapsortstep27 : [], cost: 1

     11: evalrealheapsortstep27 -> evalrealheapsortstep28 : [], cost: 1

     12: evalrealheapsortstep28 -> evalrealheapsortstep29 : [], cost: 1

     13: evalrealheapsortstep29 -> evalrealheapsortstep210 : [], cost: 1

     14: evalrealheapsortstep210 -> evalrealheapsortstep211 : [], cost: 1

     15: evalrealheapsortstep211 -> evalrealheapsortstep212 : [], cost: 1

     16: evalrealheapsortstep212 -> evalrealheapsortstep2bb2in : B'=0, [], cost: 1

     17: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb3in : [ A>=2+B ], cost: 1

     19: evalrealheapsortstep2bb3in -> evalrealheapsortstep2bb4in : C'=0, [], cost: 1

     20: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb5in : [ A>=3+2*C+B ], cost: 1

     21: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb11in : [ 2+2*C+B>=A ], cost: 1

     22: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb7in : [ A==3+2*C+B ], cost: 1

     23: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb6in : [ A>=4+2*C+B ], cost: 1

     24: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb6in : [ 2+2*C+B>=A ], cost: 1

     25: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb7in : [], cost: 1

     26: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb8in : [], cost: 1

     27: evalrealheapsortstep2bb7in -> evalrealheapsortstep2bb9in : D'=1+2*C, [], cost: 1

     28: evalrealheapsortstep2bb8in -> evalrealheapsortstep2bb9in : D'=2+2*C, [], cost: 1

     29: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb10in : [], cost: 1

     30: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=A, [], cost: 1

     31: evalrealheapsortstep2bb10in -> evalrealheapsortstep2bb4in : C'=D, [], cost: 1

     32: evalrealheapsortstep2bb11in -> evalrealheapsortstep258 : E'=1+B, [], cost: 1

     33: evalrealheapsortstep258 -> evalrealheapsortstep259 : [], cost: 1

     34: evalrealheapsortstep259 -> evalrealheapsortstep2bb2in : B'=E, [], cost: 1



### Simplification by acceleration and chaining ###



Eliminated locations (on linear paths):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     51: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=0, [ A>=2+B ], cost: 2

     20: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb5in : [ A>=3+2*C+B ], cost: 1

     54: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb2in : B'=1+B, E'=1+B, [ 2+2*C+B>=A ], cost: 4

     22: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb7in : [ A==3+2*C+B ], cost: 1

     23: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb6in : [ A>=4+2*C+B ], cost: 1

     24: evalrealheapsortstep2bb5in -> evalrealheapsortstep2bb6in : [ 2+2*C+B>=A ], cost: 1

     25: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb7in : [], cost: 1

     55: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb9in : D'=2+2*C, [], cost: 2

     27: evalrealheapsortstep2bb7in -> evalrealheapsortstep2bb9in : D'=1+2*C, [], cost: 1

     30: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=A, [], cost: 1

     56: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=D, [], cost: 2



Eliminated locations (on tree-shaped paths):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     51: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=0, [ A>=2+B ], cost: 2

     54: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb2in : B'=1+B, E'=1+B, [ 2+2*C+B>=A ], cost: 4

     57: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb7in : [ A==3+2*C+B ], cost: 2

     58: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb6in : [ A>=4+2*C+B ], cost: 2

     25: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb7in : [], cost: 1

     55: evalrealheapsortstep2bb6in -> evalrealheapsortstep2bb9in : D'=2+2*C, [], cost: 2

     27: evalrealheapsortstep2bb7in -> evalrealheapsortstep2bb9in : D'=1+2*C, [], cost: 1

     30: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=A, [], cost: 1

     56: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=D, [], cost: 2



Eliminated locations (on tree-shaped paths):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     51: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=0, [ A>=2+B ], cost: 2

     54: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb2in : B'=1+B, E'=1+B, [ 2+2*C+B>=A ], cost: 4

     60: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb9in : D'=2+2*C, [ A>=4+2*C+B ], cost: 4

     61: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb9in : D'=1+2*C, [ A==3+2*C+B ], cost: 3

     62: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb9in : D'=1+2*C, [ A>=4+2*C+B ], cost: 4

     30: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=A, [], cost: 1

     56: evalrealheapsortstep2bb9in -> evalrealheapsortstep2bb4in : C'=D, [], cost: 2



Eliminated locations (on tree-shaped paths):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     51: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=0, [ A>=2+B ], cost: 2

     54: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb2in : B'=1+B, E'=1+B, [ 2+2*C+B>=A ], cost: 4

     63: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=2+2*C, [ A>=4+2*C+B ], cost: 5

     64: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=2+2*C, D'=2+2*C, [ A>=4+2*C+B ], cost: 6

     65: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=1+2*C, [ A==3+2*C+B ], cost: 4

     66: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=1+2*C, D'=1+2*C, [ A==3+2*C+B ], cost: 5

     67: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=1+2*C, [ A>=4+2*C+B ], cost: 5

     68: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=1+2*C, D'=1+2*C, [ A>=4+2*C+B ], cost: 6



Accelerating simple loops of location 18.

   Accelerating the following rules:

     63: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=2+2*C, [ A>=4+2*C+B ], cost: 5

     64: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=2+2*C, D'=2+2*C, [ A>=4+2*C+B ], cost: 6

     65: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=1+2*C, [ A==3+2*C+B ], cost: 4

     66: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=1+2*C, D'=1+2*C, [ A==3+2*C+B ], cost: 5

     67: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=1+2*C, [ A>=4+2*C+B ], cost: 5

     68: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=1+2*C, D'=1+2*C, [ A>=4+2*C+B ], cost: 6



   Accelerated rule 63 with NONTERM (after strengthening guard), yielding the new rule 69.

   Found no metering function for rule 64.

   Accelerated rule 65 with NONTERM (after strengthening guard), yielding the new rule 70.

   Found no metering function for rule 66.

   Accelerated rule 67 with NONTERM (after strengthening guard), yielding the new rule 71.

   Found no metering function for rule 68.

   Removing the simple loops:.

   Also removing duplicate rules: 69.



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

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     51: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=0, [ A>=2+B ], cost: 2

     54: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb2in : B'=1+B, E'=1+B, [ 2+2*C+B>=A ], cost: 4

     63: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=2+2*C, [ A>=4+2*C+B ], cost: 5

     64: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=2+2*C, D'=2+2*C, [ A>=4+2*C+B ], cost: 6

     65: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=1+2*C, [ A==3+2*C+B ], cost: 4

     66: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=1+2*C, D'=1+2*C, [ A==3+2*C+B ], cost: 5

     67: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=A, D'=1+2*C, [ A>=4+2*C+B ], cost: 5

     68: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb4in : C'=1+2*C, D'=1+2*C, [ A>=4+2*C+B ], cost: 6

     70: evalrealheapsortstep2bb4in -> [30] : [ A==3+2*C+B && A==3+2*A+B ], cost: NONTERM

     71: evalrealheapsortstep2bb4in -> [30] : [ A>=4+2*C+B && A>=4+2*A+B ], cost: NONTERM



Chained accelerated rules (with incoming rules):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     51: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=0, [ A>=2+B ], cost: 2

     72: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=A, D'=2, [ A>=4+B ], cost: 7

     73: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=2, D'=2, [ A>=4+B ], cost: 8

     74: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=A, D'=1, [ A==3+B ], cost: 6

     75: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=1, D'=1, [ A==3+B ], cost: 7

     76: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=A, D'=1, [ A>=4+B ], cost: 7

     77: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb4in : C'=1, D'=1, [ A>=4+B ], cost: 8

     78: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A==3+B && A==3+2*A+B ], cost: NONTERM

     79: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A>=4+B && A>=4+2*A+B ], cost: NONTERM

     54: evalrealheapsortstep2bb4in -> evalrealheapsortstep2bb2in : B'=1+B, E'=1+B, [ 2+2*C+B>=A ], cost: 4



Eliminated locations (on tree-shaped paths):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     78: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A==3+B && A==3+2*A+B ], cost: NONTERM

     79: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A>=4+B && A>=4+2*A+B ], cost: NONTERM

     80: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=0, E'=1+B, [ A>=2+B && 2+B>=A ], cost: 6

     81: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=A, D'=2, E'=1+B, [ A>=4+B && 2+2*A+B>=A ], cost: 11

     82: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=2, D'=2, E'=1+B, [ A>=4+B && 6+B>=A ], cost: 12

     83: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=A, D'=1, E'=1+B, [ A==3+B && 2+2*A+B>=A ], cost: 10

     84: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=1, D'=1, E'=1+B, [ A==3+B ], cost: 11

     85: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=A, D'=1, E'=1+B, [ A>=4+B && 2+2*A+B>=A ], cost: 11

     86: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=1, D'=1, E'=1+B, [ A>=4+B && 4+B>=A ], cost: 12



Applied pruning (of leafs and parallel rules):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     78: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A==3+B && A==3+2*A+B ], cost: NONTERM

     79: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A>=4+B && A>=4+2*A+B ], cost: NONTERM

     80: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=0, E'=1+B, [ A>=2+B && 2+B>=A ], cost: 6

     81: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=A, D'=2, E'=1+B, [ A>=4+B && 2+2*A+B>=A ], cost: 11

     82: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=2, D'=2, E'=1+B, [ A>=4+B && 6+B>=A ], cost: 12

     83: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=A, D'=1, E'=1+B, [ A==3+B && 2+2*A+B>=A ], cost: 10

     84: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=1, D'=1, E'=1+B, [ A==3+B ], cost: 11



Accelerating simple loops of location 16.

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

   Accelerating the following rules:

     80: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=0, E'=1+B, [ 2-A+B==0 ], cost: 6

     81: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=A, D'=2, E'=1+B, [ A>=4+B && 2+2*A+B>=A ], cost: 11

     82: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=2, D'=2, E'=1+B, [ A>=4+B && 6+B>=A ], cost: 12

     83: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=A, D'=1, E'=1+B, [ A==3+B && 2+2*A+B>=A ], cost: 10

     84: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=1+B, C'=1, D'=1, E'=1+B, [ A==3+B ], cost: 11



   Accelerated rule 80 with metering function -1+A-B, yielding the new rule 87.

   Accelerated rule 81 with metering function -3+A-B, yielding the new rule 88.

   Accelerated rule 82 with metering function -3+A-B, yielding the new rule 89.

   Accelerated rule 83 with metering function -2+A-B, yielding the new rule 90.

   Accelerated rule 84 with metering function -2+A-B, yielding the new rule 91.

   Removing the simple loops: 80 81 82 83 84.



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

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     78: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A==3+B && A==3+2*A+B ], cost: NONTERM

     79: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A>=4+B && A>=4+2*A+B ], cost: NONTERM

     87: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=-1+A, C'=0, E'=-1+A, [ 2-A+B==0 ], cost: -6+6*A-6*B

     88: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=-3+A, C'=A, D'=2, E'=-3+A, [ A>=4+B && 2+2*A+B>=A ], cost: -33+11*A-11*B

     89: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=-3+A, C'=2, D'=2, E'=-3+A, [ A>=4+B && 6+B>=A ], cost: -36+12*A-12*B

     90: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=-2+A, C'=A, D'=1, E'=-2+A, [ A==3+B && 2+2*A+B>=A ], cost: -20+10*A-10*B

     91: evalrealheapsortstep2bb2in -> evalrealheapsortstep2bb2in : B'=-2+A, C'=1, D'=1, E'=-2+A, [ A==3+B ], cost: -22+11*A-11*B



Chained accelerated rules (with incoming rules):

   Start location: evalrealheapsortstep2start

     50: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=0, [ A>=3 ], cost: 16

     92: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=-3+A, C'=A, D'=2, E'=-3+A, [ A>=4 ], cost: -17+11*A

     93: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=-3+A, C'=2, D'=2, E'=-3+A, [ A>=4 && 6>=A ], cost: -20+12*A

     94: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=-2+A, C'=A, D'=1, E'=-2+A, [ A==3 ], cost: -4+10*A

     95: evalrealheapsortstep2start -> evalrealheapsortstep2bb2in : B'=-2+A, C'=1, D'=1, E'=-2+A, [ A==3 ], cost: -6+11*A

     78: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A==3+B && A==3+2*A+B ], cost: NONTERM

     79: evalrealheapsortstep2bb2in -> [30] : C'=0, [ A>=4+B && A>=4+2*A+B ], cost: NONTERM



Eliminated locations (on tree-shaped paths):

   Start location: evalrealheapsortstep2start

     96: evalrealheapsortstep2start -> [32] : [ A>=4 ], cost: -17+11*A

     97: evalrealheapsortstep2start -> [32] : [ A>=4 && 6>=A ], cost: -20+12*A

     98: evalrealheapsortstep2start -> [32] : [ A==3 ], cost: -4+10*A

     99: evalrealheapsortstep2start -> [32] : [ A==3 ], cost: -6+11*A



Applied pruning (of leafs and parallel rules):

   Start location: evalrealheapsortstep2start

     96: evalrealheapsortstep2start -> [32] : [ A>=4 ], cost: -17+11*A

     97: evalrealheapsortstep2start -> [32] : [ A>=4 && 6>=A ], cost: -20+12*A

     98: evalrealheapsortstep2start -> [32] : [ A==3 ], cost: -4+10*A

     99: evalrealheapsortstep2start -> [32] : [ A==3 ], cost: -6+11*A



### Computing asymptotic complexity ###



Fully simplified ITS problem

   Start location: evalrealheapsortstep2start

     96: evalrealheapsortstep2start -> [32] : [ A>=4 ], cost: -17+11*A

     97: evalrealheapsortstep2start -> [32] : [ A>=4 && 6>=A ], cost: -20+12*A

     98: evalrealheapsortstep2start -> [32] : [ A==3 ], cost: -4+10*A

     99: evalrealheapsortstep2start -> [32] : [ A==3 ], cost: -6+11*A



Computing asymptotic complexity for rule 96

   Solved the limit problem by the following transformations:

      Created initial limit problem:

      -17+11*A (+), -3+A (+/+!) [not solved]



      removing all constraints (solved by SMT)

      resulting limit problem: [solved]



      applying transformation rule (C) using substitution {A==n}

      resulting limit problem:

      [solved]



   Solution:

      A / n

   Resulting cost -17+11*n has complexity: Poly(n^1)



Found new complexity Poly(n^1).



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

   Complexity:  Poly(n^1)

   Cpx degree:  1

   Solved cost: -17+11*n

   Rule cost:   -17+11*A

   Rule guard:  [ A>=4 ]



WORST_CASE(Omega(n^1),?)


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

(4)
BOUNDS(n^1, INF)