57.14/42.09	WORST_CASE(?, O(n^2))
57.14/42.11	proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
57.14/42.11	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
57.14/42.11	
57.14/42.11	
57.14/42.11	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
57.14/42.11	
57.14/42.11	(0) CpxIntTrs
57.14/42.11	(1) Koat Proof [FINISHED, 1281 ms]
57.14/42.11	(2) BOUNDS(1, n^2)
57.14/42.11	
57.14/42.11	
57.14/42.11	----------------------------------------
57.14/42.11	
57.14/42.11	(0)
57.14/42.11	Obligation:
57.14/42.11	Complexity Int TRS consisting of the following rules:
57.14/42.11	evalrealheapsortstart(A, B, C, D) -> Com_1(evalrealheapsortentryin(A, B, C, D)) :|: TRUE
57.14/42.11	evalrealheapsortentryin(A, B, C, D) -> Com_1(evalrealheapsortbb6in(A, 1, C, D)) :|: A >= 3
57.14/42.11	evalrealheapsortentryin(A, B, C, D) -> Com_1(evalrealheapsortreturnin(A, B, C, D)) :|: 2 >= A
57.14/42.11	evalrealheapsortbb6in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, B, D)) :|: A >= 1 + B
57.14/42.11	evalrealheapsortbb6in(A, B, C, D) -> Com_1(evalrealheapsortbb7in(A, B, C, D)) :|: B >= A
57.14/42.11	evalrealheapsortbb3in(A, B, C, D) -> Com_1(evalrealheapsortbb5in(A, B, C, D)) :|: 0 >= C
57.14/42.11	evalrealheapsortbb3in(A, B, C, D) -> Com_1(evalrealheapsortbb4in(A, B, C, D)) :|: C >= 1
57.14/42.11	evalrealheapsortbb4in(A, B, C, D) -> Com_1(evalrealheapsortbb2in(A, B, C, D)) :|: C + 1 >= 0 && C + 1 <= 0
57.14/42.11	evalrealheapsortbb4in(A, B, C, D) -> Com_1(evalrealheapsortbb2in(A, B, C, D)) :|: C >= 0 && E >= 0 && C + 1 >= 2 * E && 2 * E >= C
57.14/42.11	evalrealheapsortbb4in(A, B, C, D) -> Com_1(evalrealheapsortbb2in(A, B, C, D)) :|: 0 >= C + 2 && 0 >= E && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb4in(A, B, C, D) -> Com_1(evalrealheapsortbb5in(A, B, C, D)) :|: C + 1 >= 0 && C + 1 <= 0
57.14/42.11	evalrealheapsortbb4in(A, B, C, D) -> Com_1(evalrealheapsortbb5in(A, B, C, D)) :|: C >= 0 && E >= 0 && C + 1 >= 2 * E && 2 * E >= C
57.14/42.11	evalrealheapsortbb4in(A, B, C, D) -> Com_1(evalrealheapsortbb5in(A, B, C, D)) :|: 0 >= C + 2 && 0 >= E && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, -(1), D)) :|: C + 1 >= 0 && C + 1 <= 0
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= 1 && E >= 0 && 0 >= 2 * E && 1 + 2 * E >= 0 && C + 1 >= 0 && C + 1 <= 0
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= 1 && 0 >= E && C + 1 >= 0 && C + 1 <= 0 && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, -(1), D)) :|: 0 >= 1 && E >= 0 && 0 >= 2 * E && 1 + 2 * E >= 0 && C + 1 >= 0 && C + 1 <= 0
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= 1 && F >= 0 && 0 >= 2 * F && 1 + 2 * F >= 0 && E >= 0 && 0 >= 2 * E && 1 + 2 * E >= 0 && C + 1 >= 0 && C + 1 <= 0
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= 1 && F >= 0 && 0 >= 2 * F && 1 + 2 * F >= 0 && 0 >= E && C + 1 >= 0 && C + 1 <= 0 && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, -(1), D)) :|: 0 >= 1 && 0 >= E && C + 1 >= 0 && C + 1 <= 0 && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= 1 && 0 >= F && E >= 0 && 0 >= 2 * E && 1 + 2 * E >= 0 && C + 1 >= 0 && C + 1 <= 0 && 2 * F >= C + 1 && 2 + C >= 2 * F
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= 1 && 0 >= F && 0 >= E && C + 1 >= 0 && C + 1 <= 0 && 2 * F >= C + 1 && 2 + C >= 2 * F && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, -(1), D)) :|: 0 >= 1 && E >= 0 && 0 >= 2 * E && 1 + 2 * E >= 0 && F >= 0 && 0 >= 2 * F && 1 + 2 * F >= 0 && C + 1 >= 0 && C + 1 <= 0
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: C >= 0 && F >= 0 && C + 1 >= 2 * F && 2 * F >= C && G >= 0 && C + 1 >= 2 * G && 2 * G >= C && E >= 0 && C + 1 >= 2 * E && 2 * E >= C
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: C >= 0 && F >= 0 && C + 1 >= 2 * F && 2 * F >= C && G >= 0 && C + 1 >= 2 * G && 2 * G >= C && 0 >= C + 2 && 0 >= E && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, -(1), D)) :|: 0 >= 1 && E >= 0 && 0 >= 2 * E && 1 + 2 * E >= 0 && 0 >= F && C + 1 >= 0 && C + 1 <= 0 && 2 * F >= C + 1 && 2 + C >= 2 * F
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: C >= 0 && F >= 0 && C + 1 >= 2 * F && 2 * F >= C && 0 >= C + 2 && 0 >= G && E >= 0 && C + 1 >= 2 * E && 2 * E >= C && 2 * G >= C + 1 && 2 + C >= 2 * G
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: C >= 0 && F >= 0 && C + 1 >= 2 * F && 2 * F >= C && 0 >= C + 2 && 0 >= G && 0 >= E && 2 * G >= C + 1 && 2 + C >= 2 * G && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, -(1), D)) :|: 0 >= 1 && 0 >= E && F >= 0 && 0 >= 2 * F && 1 + 2 * F >= 0 && C + 1 >= 0 && C + 1 <= 0 && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= C + 2 && 0 >= F && C >= 0 && G >= 0 && C + 1 >= 2 * G && 2 * G >= C && E >= 0 && C + 1 >= 2 * E && 2 * E >= C && 2 * F >= C + 1 && 2 + C >= 2 * F
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= C + 2 && 0 >= F && C >= 0 && G >= 0 && C + 1 >= 2 * G && 2 * G >= C && 0 >= E && 2 * F >= C + 1 && 2 + C >= 2 * F && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, -(1), D)) :|: 0 >= 1 && 0 >= E && 0 >= F && C + 1 >= 0 && C + 1 <= 0 && 2 * E >= C + 1 && 2 + C >= 2 * E && 2 * F >= C + 1 && 2 + C >= 2 * F
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= C + 2 && 0 >= F && 0 >= G && C >= 0 && E >= 0 && C + 1 >= 2 * E && 2 * E >= C && 2 * F >= C + 1 && 2 + C >= 2 * F && 2 * G >= C + 1 && 2 + C >= 2 * G
57.14/42.11	evalrealheapsortbb2in(A, B, C, D) -> Com_1(evalrealheapsortbb3in(A, B, E - 1, D)) :|: 0 >= C + 2 && 0 >= F && 0 >= G && 0 >= E && 2 * F >= C + 1 && 2 + C >= 2 * F && 2 * G >= C + 1 && 2 + C >= 2 * G && 2 * E >= C + 1 && 2 + C >= 2 * E
57.14/42.11	evalrealheapsortbb5in(A, B, C, D) -> Com_1(evalrealheapsortbb6in(A, B + 1, C, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb7in(A, B, C, D) -> Com_1(evalrealheapsortbb18in(A, 0, C, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb18in(A, B, C, D) -> Com_1(evalrealheapsortbb8in(A, B, C, D)) :|: A >= 2 + B
57.14/42.11	evalrealheapsortbb18in(A, B, C, D) -> Com_1(evalrealheapsortreturnin(A, B, C, D)) :|: B + 1 >= A
57.14/42.11	evalrealheapsortbb8in(A, B, C, D) -> Com_1(evalrealheapsortbb16in(A, B, 0, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb16in(A, B, C, D) -> Com_1(evalrealheapsortbb9in(A, B, C, D)) :|: A >= B + 3 + 2 * C
57.14/42.11	evalrealheapsortbb16in(A, B, C, D) -> Com_1(evalrealheapsortbb17in(A, B, C, D)) :|: 2 * C + 2 + B >= A
57.14/42.11	evalrealheapsortbb9in(A, B, C, D) -> Com_1(evalrealheapsortbb11in(A, B, C, D)) :|: A >= 2 * C + 3 + B && A <= 2 * C + 3 + B
57.14/42.11	evalrealheapsortbb9in(A, B, C, D) -> Com_1(evalrealheapsortbb10in(A, B, C, D)) :|: A >= B + 4 + 2 * C
57.14/42.11	evalrealheapsortbb9in(A, B, C, D) -> Com_1(evalrealheapsortbb10in(A, B, C, D)) :|: 2 * C + 2 + B >= A
57.14/42.11	evalrealheapsortbb10in(A, B, C, D) -> Com_1(evalrealheapsortbb11in(A, B, C, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb10in(A, B, C, D) -> Com_1(evalrealheapsortbb12in(A, B, C, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb11in(A, B, C, D) -> Com_1(evalrealheapsortbb13in(A, B, C, 2 * C + 1)) :|: TRUE
57.14/42.11	evalrealheapsortbb12in(A, B, C, D) -> Com_1(evalrealheapsortbb13in(A, B, C, 2 * C + 2)) :|: TRUE
57.14/42.11	evalrealheapsortbb13in(A, B, C, D) -> Com_1(evalrealheapsortbb14in(A, B, C, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb13in(A, B, C, D) -> Com_1(evalrealheapsortbb16in(A, B, A, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb14in(A, B, C, D) -> Com_1(evalrealheapsortbb16in(A, B, D, D)) :|: TRUE
57.14/42.11	evalrealheapsortbb17in(A, B, C, D) -> Com_1(evalrealheapsortbb18in(A, B + 1, C, D)) :|: TRUE
57.14/42.11	evalrealheapsortreturnin(A, B, C, D) -> Com_1(evalrealheapsortstop(A, B, C, D)) :|: TRUE
57.14/42.11	
57.14/42.11	The start-symbols are:[evalrealheapsortstart_4]
57.14/42.11	
57.14/42.11	
57.14/42.11	----------------------------------------
57.14/42.11	
57.14/42.11	(1) Koat Proof (FINISHED)
57.14/42.11	YES(?, 18004615*ar_0 + 2100*ar_0^2 + 21602533)
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	Initial complexity problem:
57.14/42.11	
57.14/42.11	1:	T:
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= e /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= e /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ 0 >= e /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ 0 >= f /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ 2*f >= 0 /\ 1 >= 2*f /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ 0 >= f /\ 0 >= e /\ 2*f >= 0 /\ 1 >= 2*f /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ 0 >= ar_2 + 2 /\ 0 >= e /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ 0 >= f /\ 2*f >= 0 /\ 1 >= 2*f /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ 0 >= ar_2 + 2 /\ 0 >= g /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ 0 >= ar_2 + 2 /\ 0 >= g /\ 0 >= e /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ ar_2 >= 0 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ ar_2 >= 0 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ 0 >= e /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ 0 >= f /\ 2*e >= 0 /\ 1 >= 2*e /\ 2*f >= 0 /\ 1 >= 2*f /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ 0 >= g /\ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ 0 >= g /\ 0 >= e /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.11	
57.14/42.11		start location:	koat_start
57.14/42.11	
57.14/42.11		leaf cost:	0
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	Testing for reachability in the complexity graph removes the following transitions from problem 1:
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= e /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= e /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ 0 >= e /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ 0 >= f /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ 2*f >= 0 /\ 1 >= 2*f /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= 1 /\ 0 >= f /\ 0 >= e /\ 2*f >= 0 /\ 1 >= 2*f /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ 0 >= ar_2 + 2 /\ 0 >= e /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ e >= 0 /\ 0 >= 2*e /\ 2*e + 1 >= 0 /\ 0 >= f /\ 2*f >= 0 /\ 1 >= 2*f /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ 0 >= ar_2 + 2 /\ 0 >= g /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ 0 >= ar_2 + 2 /\ 0 >= g /\ 0 >= e /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ f >= 0 /\ 0 >= 2*f /\ 2*f + 1 >= 0 /\ 2*e >= 0 /\ 1 >= 2*e /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ ar_2 >= 0 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ ar_2 >= 0 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ 0 >= e /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, -1, ar_3)) [ 0 >= 1 /\ 0 >= e /\ 0 >= f /\ 2*e >= 0 /\ 1 >= 2*e /\ 2*f >= 0 /\ 1 >= 2*f /\ ar_2 + 1 = 0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ 0 >= g /\ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ 0 >= ar_2 + 2 /\ 0 >= f /\ 0 >= g /\ 0 >= e /\ 2*f >= ar_2 + 1 /\ ar_2 + 2 >= 2*f /\ 2*g >= ar_2 + 1 /\ ar_2 + 2 >= 2*g /\ 2*e >= ar_2 + 1 /\ ar_2 + 2 >= 2*e ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11	We thus obtain the following problem:
57.14/42.11	
57.14/42.11	2:	T:
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.11	
57.14/42.11		start location:	koat_start
57.14/42.11	
57.14/42.11		leaf cost:	0
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	Repeatedly propagating knowledge in problem 2 produces the following problem:
57.14/42.11	
57.14/42.11	3:	T:
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)    evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.11	
57.14/42.11		start location:	koat_start
57.14/42.11	
57.14/42.11		leaf cost:	0
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	A polynomial rank function with
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb14in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb16in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb13in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb12in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb10in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb11in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb17in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb18in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb9in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb8in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortreturnin) = 1
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb7in) = 3
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb6in) = 4
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb2in) = 4
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb3in) = 4
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb4in) = 4
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb5in) = 4
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortstop) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortentryin) = 4
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortstart) = 4
57.14/42.11	
57.14/42.11		Pol(koat_start) = 4
57.14/42.11	
57.14/42.11	orients all transitions weakly and the transitions
57.14/42.11	
57.14/42.11		evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11	strictly and produces the following problem:
57.14/42.11	
57.14/42.11	4:	T:
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)    evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)    evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)    evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)    evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.11	
57.14/42.11		start location:	koat_start
57.14/42.11	
57.14/42.11		leaf cost:	0
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	A polynomial rank function with
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb9in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb11in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb10in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb8in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb16in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb6in) = V_1 - V_2 + 1
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb3in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb5in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb4in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb2in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb18in) = V_1 - V_2 + 1
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb17in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb14in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb13in) = V_1 - V_2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb12in) = V_1 - V_2
57.14/42.11	
57.14/42.11	and size complexities
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-1) = 1
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-1) = 0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-2) = 0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-2) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11	orients the transitions
57.14/42.11	
57.14/42.11		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11		evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11	weakly and the transitions
57.14/42.11	
57.14/42.11		evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11	strictly and produces the following problem:
57.14/42.11	
57.14/42.11	5:	T:
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)             evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)             evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)             evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.11	
57.14/42.11		start location:	koat_start
57.14/42.11	
57.14/42.11		leaf cost:	0
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	Repeatedly propagating knowledge in problem 5 produces the following problem:
57.14/42.11	
57.14/42.11	6:	T:
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)    evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)    evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)             evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)             evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)    evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)             evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)             evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)             evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.11	
57.14/42.11		start location:	koat_start
57.14/42.11	
57.14/42.11		leaf cost:	0
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	A polynomial rank function with
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb9in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb11in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb10in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb5in) = 1
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb6in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb4in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb2in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb3in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb17in) = 1
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb18in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb16in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb14in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb13in) = 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb12in) = 2
57.14/42.11	
57.14/42.11	and size complexities
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-1) = 1
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-1) = 0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-2) = 0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-2) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-1) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11	orients the transitions
57.14/42.11	
57.14/42.11		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11		evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11	weakly and the transitions
57.14/42.11	
57.14/42.11		evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11	strictly and produces the following problem:
57.14/42.11	
57.14/42.11	7:	T:
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.11	
57.14/42.11			(Comp: 20*ar_0 + 24, Cost: 1)    evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: 20*ar_0 + 24, Cost: 1)    evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)      evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)               evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)      evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)               evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)               evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: 20*ar_0 + 24, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: 20*ar_0 + 24, Cost: 1)    evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: ?, Cost: 1)               evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.11	
57.14/42.11			(Comp: 20*ar_0 + 24, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.11	
57.14/42.11			(Comp: 4, Cost: 1)               evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 5*ar_0 + 6, Cost: 1)      evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)               evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)               evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 1)               evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.11	
57.14/42.11			(Comp: 1, Cost: 0)               koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.11	
57.14/42.11		start location:	koat_start
57.14/42.11	
57.14/42.11		leaf cost:	0
57.14/42.11	
57.14/42.11	
57.14/42.11	
57.14/42.11	A polynomial rank function with
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb9in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb11in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb10in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb4in) = 3*V_3 + 3
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb2in) = 3*V_3 + 1
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb3in) = 6*V_3 + 2
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb16in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb14in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb13in) = 0
57.14/42.11	
57.14/42.11		Pol(evalrealheapsortbb12in) = 0
57.14/42.11	
57.14/42.11	and size complexities
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-1) = 1
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-1) = ar_1
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-2) = ar_2
57.14/42.11	
57.14/42.11		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-1) = 20*ar_0 + 10000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-2) = 20*ar_0 + 200020
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-1) = 20*ar_0 + 20*ar_1 + 3840000
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-2) = 20*ar_0 + 80016000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = 20*ar_0 + 10000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = 20*ar_0 + 4000800
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-1) = 20*ar_0 + 10000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-2) = 20*ar_0 + 1600320000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = 20*ar_0 + 4000800
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = 20*ar_0 + 80016000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = 20*ar_0 + 4000800
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-1) = 20*ar_0 + 200000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-2) = 20*ar_0 + 32006400000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-1) = 0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-2) = 20*ar_0 + 640128000000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))", 0-3) = ar_3
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-1) = 20*ar_0 + 192000
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-2) = 0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-2) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-0) = ar_0
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-1) = 20*ar_0 + 9600
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-2) = ?
57.14/42.11	
57.14/42.11		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))", 0-3) = ?
57.14/42.11	
57.14/42.11	orients the transitions
57.14/42.11	
57.14/42.11		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.11	
57.14/42.11		evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.12	
57.14/42.12		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.12	
57.14/42.12		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12		evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.12	
57.14/42.12		evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.12	
57.14/42.12		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12	weakly and the transitions
57.14/42.12	
57.14/42.12		evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12	strictly and produces the following problem:
57.14/42.12	
57.14/42.12	8:	T:
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3))
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3))
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2))
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1))
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 4 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 = 2*ar_2 + ar_1 + 3 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 2*ar_2 + ar_1 + 2 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2*ar_2 + 3 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 + 1 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= ar_1 + 2 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_0 >= ar_1 + 1 ]
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 0)                                      koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.12	
57.14/42.12		start location:	koat_start
57.14/42.12	
57.14/42.12		leaf cost:	0
57.14/42.12	
57.14/42.12	
57.14/42.12	
57.14/42.12	Applied AI with 'oct' on problem 8 to obtain the following invariants:
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb10in: 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
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb11in: 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
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb12in: 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
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb13in: 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
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb14in: 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
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb16in: 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
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb17in: 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
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb18in: X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb2in: X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb3in: X_2 - X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb4in: X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 4 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb5in: X_2 - X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb6in: X_2 - 1 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb7in: X_2 - 3 >= 0 /\ X_1 + X_2 - 6 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb8in: X_1 - X_2 - 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 3 >= 0
57.14/42.12	
57.14/42.12	  For symbol evalrealheapsortbb9in: 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
57.14/42.12	
57.14/42.12	
57.14/42.12	
57.14/42.12	
57.14/42.12	
57.14/42.12	This yielded the following problem:
57.14/42.12	
57.14/42.12	9:	T:
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 0)                                      koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_0 >= ar_1 + 1 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ 0 >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 1 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3)) [ ar_1 - 3 >= 0 /\ ar_0 + ar_1 - 6 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 3 >= 0 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_0 >= ar_1 + 2 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 + 1 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3)) [ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: ?, Cost: 1)                                      evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		start location:	koat_start
57.14/42.12	
57.14/42.12		leaf cost:	0
57.14/42.12	
57.14/42.12	
57.14/42.12	
57.14/42.12	A polynomial rank function with
57.14/42.12	
57.14/42.12		Pol(evalrealheapsortbb9in) = 6*V_1 - 6*V_3 + 2
57.14/42.12	
57.14/42.12		Pol(evalrealheapsortbb11in) = 6*V_1 - 6*V_3
57.14/42.12	
57.14/42.12		Pol(evalrealheapsortbb10in) = 6*V_1 - 6*V_3 + 1
57.14/42.12	
57.14/42.12		Pol(evalrealheapsortbb16in) = 6*V_1 - 6*V_3 + 3
57.14/42.12	
57.14/42.12		Pol(evalrealheapsortbb14in) = 6*V_1 - 6*V_3 - 2
57.14/42.12	
57.14/42.12		Pol(evalrealheapsortbb13in) = 6*V_1 - 6*V_3 - 1
57.14/42.12	
57.14/42.12		Pol(evalrealheapsortbb12in) = 6*V_1 - 6*V_3
57.14/42.12	
57.14/42.12	and size complexities
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3)) [ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3)) [ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-1) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3)) [ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-2) = 0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3)) [ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-3) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 + 1 >= ar_0 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 + 1 >= ar_0 ]", 0-1) = 20*ar_0 + 192000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 + 1 >= ar_0 ]", 0-2) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 + 1 >= ar_0 ]", 0-3) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 2 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 2 ]", 0-1) = 20*ar_0 + 9600
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 2 ]", 0-2) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 2 ]", 0-3) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3)) [ ar_1 - 3 >= 0 /\\ ar_0 + ar_1 - 6 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3)) [ ar_1 - 3 >= 0 /\\ ar_0 + ar_1 - 6 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-1) = 0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3)) [ ar_1 - 3 >= 0 /\\ ar_0 + ar_1 - 6 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-2) = 20*ar_0 + 640064000000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3)) [ ar_1 - 3 >= 0 /\\ ar_0 + ar_1 - 6 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 >= ar_0 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 >= ar_0 ]", 0-1) = 20*ar_0 + 200000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 >= ar_0 ]", 0-2) = 20*ar_0 + 32003200000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_1 >= ar_0 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = 20*ar_0 + 4000400
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ f >= 0 /\\ ar_2 + 1 >= 2*f /\\ 2*f >= ar_2 /\\ g >= 0 /\\ ar_2 + 1 >= 2*g /\\ 2*g >= ar_2 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = 20*ar_0 + 80008000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-2) = 20*ar_0 + 4000400
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 4 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 0 /\\ e >= 0 /\\ ar_2 + 1 >= 2*e /\\ 2*e >= ar_2 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-1) = 20*ar_0 + 10000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-2) = 20*ar_0 + 1600160000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 1 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 1 ]", 0-1) = 20*ar_0 + 10000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 1 ]", 0-2) = 20*ar_0 + 4000400
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_2 >= 1 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ 0 >= ar_2 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ 0 >= ar_2 ]", 0-1) = 20*ar_0 + 10000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ 0 >= ar_2 ]", 0-2) = 20*ar_0 + 80008000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ 0 >= ar_2 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-1) = 20*ar_0 + 20*ar_1 + 3840000
57.14/42.12	
57.14/42.12		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-1) = 20*ar_0 + 10000
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-2) = 20*ar_0 + 200020
57.14/42.12	
57.14/42.12		S("evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 3 >= 0 /\\ ar_0 >= ar_1 + 1 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-1) = ar_1
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-2) = ar_2
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-1) = 1
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-2) = ar_2
57.14/42.12	
57.14/42.12		S("evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
57.14/42.12	
57.14/42.12		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
57.14/42.12	
57.14/42.12		S("evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
57.14/42.12	
57.14/42.12		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
57.14/42.12	
57.14/42.12		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
57.14/42.12	
57.14/42.12		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
57.14/42.12	
57.14/42.12		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
57.14/42.12	
57.14/42.12	orients the transitions
57.14/42.12	
57.14/42.12		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12	weakly and the transitions
57.14/42.12	
57.14/42.12		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12	strictly and produces the following problem:
57.14/42.12	
57.14/42.12	10:	T:
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 0)                                      koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, 1, ar_2, ar_3)) [ ar_0 >= 3 ]
57.14/42.12	
57.14/42.12			(Comp: 1, Cost: 1)                                      evalrealheapsortentryin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ 2 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, ar_1, ar_3)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_0 >= ar_1 + 1 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortstop(ar_0, ar_1, ar_2, ar_3))
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ 0 >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 1 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb6in(ar_0, ar_1 + 1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 0 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 600*ar_0^2 + 6001330*ar_0 + 7200732, Cost: 1)    evalrealheapsortbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb3in(ar_0, ar_1, e - 1, ar_3)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_2 >= 0 /\ f >= 0 /\ ar_2 + 1 >= 2*f /\ 2*f >= ar_2 /\ g >= 0 /\ ar_2 + 1 >= 2*g /\ 2*g >= ar_2 /\ e >= 0 /\ ar_2 + 1 >= 2*e /\ 2*e >= ar_2 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, 0, ar_2, ar_3)) [ ar_1 - 3 >= 0 /\ ar_0 + ar_1 - 6 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 3 >= 0 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_0 >= ar_1 + 2 ]
57.14/42.12	
57.14/42.12			(Comp: 4, Cost: 1)                                      evalrealheapsortbb18in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortreturnin(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 /\ ar_1 + 1 >= ar_0 ]
57.14/42.12	
57.14/42.12			(Comp: 5*ar_0 + 6, Cost: 1)                             evalrealheapsortbb8in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, 0, ar_3)) [ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 3 >= 0 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb16in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb9in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 20*ar_0 + 24, Cost: 1)                           evalrealheapsortbb17in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb18in(ar_0, ar_1 + 1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 1)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb11in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb10in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb12in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb13in(ar_0, ar_1, ar_2, 2*ar_2 + 2)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb13in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_0, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12			(Comp: 30*ar_0^2 + 51*ar_0 + 18, Cost: 1)               evalrealheapsortbb14in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalrealheapsortbb16in(ar_0, ar_1, ar_3, ar_3)) [ 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 ]
57.14/42.12	
57.14/42.12		start location:	koat_start
57.14/42.12	
57.14/42.12		leaf cost:	0
57.14/42.12	
57.14/42.12	
57.14/42.12	
57.14/42.12	Complexity upper bound 18004615*ar_0 + 2100*ar_0^2 + 21602533
57.14/42.12	
57.14/42.12	
57.14/42.12	
57.14/42.12	Time: 1.211 sec (SMT: 0.891 sec)
57.14/42.12	
57.14/42.12	
57.14/42.12	----------------------------------------
57.14/42.12	
57.14/42.12	(2)
57.14/42.12	BOUNDS(1, n^2)
57.14/42.13	EOF