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


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WORST_CASE(?, O(n^3))
proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^3).

(0) CpxIntTrs
(1) Koat Proof [FINISHED, 626 ms]
(2) BOUNDS(1, n^3)


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

(0)
Obligation:
Complexity Int TRS consisting of the following rules:
evalrealshellsortstart(A, B, C, D, E) -> Com_1(evalrealshellsortentryin(A, B, C, D, E)) :|: TRUE
evalrealshellsortentryin(A, B, C, D, E) -> Com_1(evalrealshellsortbb8in(A, 0, C, D, E)) :|: A >= 0 && A <= 0
evalrealshellsortentryin(A, B, C, D, E) -> Com_1(evalrealshellsortbb8in(A, F, C, D, E)) :|: A >= 1 && F >= 0 && A >= 2 * F && 1 + 2 * F >= A
evalrealshellsortentryin(A, B, C, D, E) -> Com_1(evalrealshellsortbb8in(A, F, C, D, E)) :|: 0 >= A + 1 && 0 >= F && 2 * F >= A && 1 + A >= 2 * F
evalrealshellsortbb8in(A, B, C, D, E) -> Com_1(evalrealshellsortbb6in(A, B, 0, D, E)) :|: B >= 1
evalrealshellsortbb8in(A, B, C, D, E) -> Com_1(evalrealshellsortreturnin(A, B, C, D, E)) :|: 0 >= B
evalrealshellsortbb6in(A, B, C, D, E) -> Com_1(evalrealshellsortbb1in(A, B, C, D, E)) :|: A >= C + 1
evalrealshellsortbb6in(A, B, C, D, E) -> Com_1(evalrealshellsortbb7in(A, B, C, D, E)) :|: C >= A
evalrealshellsortbb1in(A, B, C, D, E) -> Com_1(evalrealshellsortbb3in(A, B, C, F, C)) :|: TRUE
evalrealshellsortbb3in(A, B, C, D, E) -> Com_1(evalrealshellsortbb5in(A, B, C, D, E)) :|: B >= E + 1
evalrealshellsortbb3in(A, B, C, D, E) -> Com_1(evalrealshellsortbb4in(A, B, C, D, E)) :|: E >= B
evalrealshellsortbb4in(A, B, C, D, E) -> Com_1(evalrealshellsortbb2in(A, B, C, D, E)) :|: F >= D + 1
evalrealshellsortbb4in(A, B, C, D, E) -> Com_1(evalrealshellsortbb5in(A, B, C, D, E)) :|: D >= F
evalrealshellsortbb2in(A, B, C, D, E) -> Com_1(evalrealshellsortbb3in(A, B, C, D, E - B)) :|: TRUE
evalrealshellsortbb5in(A, B, C, D, E) -> Com_1(evalrealshellsortbb6in(A, B, C + 1, D, E)) :|: TRUE
evalrealshellsortbb7in(A, B, C, D, E) -> Com_1(evalrealshellsortbb8in(A, 0, C, D, E)) :|: B >= 0 && B <= 0
evalrealshellsortbb7in(A, B, C, D, E) -> Com_1(evalrealshellsortbb8in(A, F, C, D, E)) :|: B >= 1 && F >= 0 && B >= 2 * F && 1 + 2 * F >= B
evalrealshellsortbb7in(A, B, C, D, E) -> Com_1(evalrealshellsortbb8in(A, F, C, D, E)) :|: 0 >= B + 1 && 0 >= F && 2 * F >= B && 1 + B >= 2 * F
evalrealshellsortreturnin(A, B, C, D, E) -> Com_1(evalrealshellsortstop(A, B, C, D, E)) :|: TRUE

The start-symbols are:[evalrealshellsortstart_5]


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

(1) Koat Proof (FINISHED)
YES(?, 73*Ar_0 + 65*Ar_0^2 + 18*Ar_0^3 + 37)



Initial complexity problem:

1:	T:

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

		(Comp: ?, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)    evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 1 produces the following problem:

2:	T:

		(Comp: 1, Cost: 1)    evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)    evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealshellsortstart) = 2

	Pol(evalrealshellsortentryin) = 2

	Pol(evalrealshellsortbb8in) = 2

	Pol(evalrealshellsortbb6in) = 2

	Pol(evalrealshellsortreturnin) = 1

	Pol(evalrealshellsortbb1in) = 2

	Pol(evalrealshellsortbb7in) = 2

	Pol(evalrealshellsortbb3in) = 2

	Pol(evalrealshellsortbb5in) = 2

	Pol(evalrealshellsortbb4in) = 2

	Pol(evalrealshellsortbb2in) = 2

	Pol(evalrealshellsortstop) = 0

	Pol(koat_start) = 2

orients all transitions weakly and the transitions

	evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

strictly and produces the following problem:

3:	T:

		(Comp: 1, Cost: 1)    evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)    evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 2, Cost: 1)    evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)    evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: ?, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealshellsortstart) = V_1 + 1

	Pol(evalrealshellsortentryin) = V_1 + 1

	Pol(evalrealshellsortbb8in) = 2*V_2

	Pol(evalrealshellsortbb6in) = V_2 + 1

	Pol(evalrealshellsortreturnin) = 2*V_2

	Pol(evalrealshellsortbb1in) = V_2 + 1

	Pol(evalrealshellsortbb7in) = V_2 + 1

	Pol(evalrealshellsortbb3in) = V_2 + 1

	Pol(evalrealshellsortbb5in) = V_2 + 1

	Pol(evalrealshellsortbb4in) = V_2 + 1

	Pol(evalrealshellsortbb2in) = V_2 + 1

	Pol(evalrealshellsortstop) = 2*V_2

	Pol(koat_start) = V_1 + 1

orients all transitions weakly and the transitions

	evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

	evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

strictly and produces the following problem:

4:	T:

		(Comp: 1, Cost: 1)           evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)           evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)           evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 2, Cost: 1)           evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)           evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)           evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: Ar_0 + 1, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: Ar_0 + 1, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 4 produces the following problem:

5:	T:

		(Comp: 1, Cost: 1)           evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)           evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)           evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)           evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: Ar_0 + 2, Cost: 1)    evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 2, Cost: 1)           evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)           evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)           evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: Ar_0 + 1, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: Ar_0 + 1, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: ?, Cost: 1)           evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealshellsortbb7in) = 1

	Pol(evalrealshellsortbb8in) = 0

	Pol(evalrealshellsortbb6in) = 2

	Pol(evalrealshellsortbb1in) = 2

	Pol(evalrealshellsortbb5in) = 2

	Pol(evalrealshellsortbb4in) = 2

	Pol(evalrealshellsortbb2in) = 2

	Pol(evalrealshellsortbb3in) = 2

and size complexities

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

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

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

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

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

	S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

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

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

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

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

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-4) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-1) = 0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-4) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-0) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-1) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-2) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-3) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-4) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-2) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-4) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-0) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-1) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-2) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-3) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-4) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-2) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-4) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ?

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4

	S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

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

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

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

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

orients the transitions

	evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

	evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

	evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

	evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

	evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

	evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

weakly and the transitions

	evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

	evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

strictly and produces the following problem:

6:	T:

		(Comp: 1, Cost: 1)             evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)             evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)             evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)             evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: Ar_0 + 2, Cost: 1)      evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 2, Cost: 1)             evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: ?, Cost: 1)             evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: ?, Cost: 1)             evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)             evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)             evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)             evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)             evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)             evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)             evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: Ar_0 + 1, Cost: 1)      evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: Ar_0 + 1, Cost: 1)      evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)    evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealshellsortbb6in) = V_1 - V_3 + 1

	Pol(evalrealshellsortbb1in) = V_1 - V_3

	Pol(evalrealshellsortbb5in) = V_1 - V_3

	Pol(evalrealshellsortbb4in) = V_1 - V_3

	Pol(evalrealshellsortbb2in) = V_1 - V_3

	Pol(evalrealshellsortbb3in) = V_1 - V_3

and size complexities

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

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

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

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

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

	S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

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

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

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

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

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-4) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-1) = 0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-4) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-0) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-1) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-2) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-3) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-4) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-2) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-4) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-0) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-1) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-2) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-3) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-4) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-2) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-4) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ?

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4

	S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

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

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

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

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

orients the transitions

	evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

	evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

	evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

	evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

weakly and the transition

	evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

strictly and produces the following problem:

7:	T:

		(Comp: 1, Cost: 1)                      evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                      evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)                      evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)                      evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: Ar_0 + 2, Cost: 1)               evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 2, Cost: 1)                      evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)             evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)                      evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)                      evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: Ar_0 + 1, Cost: 1)               evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: Ar_0 + 1, Cost: 1)               evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)             evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



Repeatedly propagating knowledge in problem 7 produces the following problem:

8:	T:

		(Comp: 1, Cost: 1)                      evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                      evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)                      evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)                      evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: Ar_0 + 2, Cost: 1)               evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 2, Cost: 1)                      evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)    evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)             evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)    evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: ?, Cost: 1)                      evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)                      evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: ?, Cost: 1)                      evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: Ar_0 + 1, Cost: 1)               evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: Ar_0 + 1, Cost: 1)               evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)             evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealshellsortbb5in) = 1

	Pol(evalrealshellsortbb6in) = 0

	Pol(evalrealshellsortbb4in) = 2

	Pol(evalrealshellsortbb2in) = 2

	Pol(evalrealshellsortbb3in) = 2

and size complexities

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

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

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

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

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

	S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

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

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

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

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

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\\ 0 >= Fresh_0 /\\ 2*Fresh_0 >= Ar_1 /\\ Ar_1 + 1 >= 2*Fresh_0 ]", 0-4) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-1) = 0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-2) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]", 0-4) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-0) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-1) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-2) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-3) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))", 0-4) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-0) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-1) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-2) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-3) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))", 0-4) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-2) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]", 0-4) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-0) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-1) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-2) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-3) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))", 0-4) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-2) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]", 0-4) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-2) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]", 0-4) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = ?

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4

	S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

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

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

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

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

orients the transitions

	evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

	evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

weakly and the transitions

	evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

strictly and produces the following problem:

9:	T:

		(Comp: 1, Cost: 1)                        evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: Ar_0 + 2, Cost: 1)                 evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 2, Cost: 1)                        evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)      evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= Ar_2 + 1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)               evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= Ar_0 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)      evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2))

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= Ar_4 + 1 ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_4 >= Ar_1 ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ F >= Ar_3 + 1 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_3 >= F ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1))

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4))

		(Comp: Ar_0 + 1, Cost: 1)                 evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_1 = 0 ]

		(Comp: Ar_0 + 1, Cost: 1)                 evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)               evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

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

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

	start location:	koat_start

	leaf cost:	0



Applied AI with 'oct' on problem 9 to obtain the following invariants:

  For symbol evalrealshellsortbb1in: X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalrealshellsortbb2in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ -X_2 + X_5 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0

  For symbol evalrealshellsortbb3in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalrealshellsortbb4in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ -X_2 + X_5 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0

  For symbol evalrealshellsortbb5in: X_3 - X_5 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_3 + X_5 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0

  For symbol evalrealshellsortbb6in: X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0

  For symbol evalrealshellsortbb7in: X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 - 1 >= 0

  For symbol evalrealshellsortreturnin: -X_2 >= 0





This yielded the following problem:

10:	T:

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

		(Comp: 2, Cost: 1)                        evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)               evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

		(Comp: Ar_0 + 1, Cost: 1)                 evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: Ar_0 + 1, Cost: 1)                 evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 = 0 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= F ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)      evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)               evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_2 >= Ar_0 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)      evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ]

		(Comp: 2, Cost: 1)                        evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: Ar_0 + 2, Cost: 1)                 evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	start location:	koat_start

	leaf cost:	0



Testing for unsatisfiable constraints removes the following transitions from problem 10:

	evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ 0 >= Ar_1 + 1 /\ 0 >= Fresh_0 /\ 2*Fresh_0 >= Ar_1 /\ Ar_1 + 1 >= 2*Fresh_0 ]

	evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 = 0 ]

We thus obtain the following problem:

11:	T:

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

		(Comp: 2, Cost: 1)                        evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]

		(Comp: Ar_0 + 1, Cost: 1)                 evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= F ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ]

		(Comp: ?, Cost: 1)                        evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)      evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)               evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_2 >= Ar_0 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)      evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ]

		(Comp: 2, Cost: 1)                        evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: Ar_0 + 2, Cost: 1)                 evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)                        evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	start location:	koat_start

	leaf cost:	0



A polynomial rank function with

	Pol(evalrealshellsortbb4in) = 3*V_2 + 3*V_5 - 2

	Pol(evalrealshellsortbb2in) = 3*V_5

	Pol(evalrealshellsortbb3in) = 3*V_2 + 3*V_5 - 1

and size complexities

	S("evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))", 0-0) = Ar_0

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

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

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

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

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-0) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-1) = 0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\\ Fresh_4 >= 0 /\\ Ar_0 >= 2*Fresh_4 /\\ 2*Fresh_4 + 1 >= Ar_0 ]", 0-4) = Ar_4

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-0) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-1) = Ar_0

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-2) = Ar_2

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-3) = Ar_3

	S("evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\\ 0 >= Fresh_3 /\\ 2*Fresh_3 >= Ar_0 /\\ Ar_0 + 1 >= 2*Fresh_3 ]", 0-4) = Ar_4

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-2) = 0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-2) = Ar_0 + Ar_2

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]", 0-4) = Ar_0 + Ar_4

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-2) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 >= Ar_2 + 1 ]", 0-4) = Ar_0 + Ar_4

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-2) = Ar_0

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-3) = ?

	S("evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_2 >= Ar_0 ]", 0-4) = Ar_0 + Ar_4

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = ?

	S("evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-4) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-2) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_1 >= Ar_4 + 1 ]", 0-4) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-2) = Ar_0

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 /\\ Ar_4 >= Ar_1 ]", 0-4) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-2) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ F >= Ar_3 + 1 ]", 0-4) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-0) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-1) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-2) = Ar_0

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-3) = ?

	S("evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 /\\ Ar_3 >= F ]", 0-4) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-2) = Ar_0

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-3) = ?

	S("evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 - 2 >= 0 /\\ Ar_1 + Ar_4 - 2 >= 0 /\\ -Ar_1 + Ar_4 >= 0 /\\ Ar_0 + Ar_4 - 3 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 - 1 >= 0 /\\ Ar_1 + Ar_2 - 2 >= 0 /\\ -Ar_1 + Ar_2 >= 0 /\\ Ar_0 + Ar_2 - 3 >= 0 /\\ Ar_0 - Ar_1 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 3 >= 0 /\\ Ar_0 - 2 >= 0 ]", 0-4) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-0) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-1) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-2) = Ar_0

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-3) = ?

	S("evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\\ Ar_0 - Ar_4 - 1 >= 0 /\\ Ar_2 + Ar_4 >= 0 /\\ Ar_1 + Ar_4 - 1 >= 0 /\\ Ar_0 + Ar_4 - 1 >= 0 /\\ Ar_0 - Ar_2 - 1 >= 0 /\\ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ Ar_0 + Ar_2 - 1 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_0 + Ar_1 - 2 >= 0 /\\ Ar_0 - 1 >= 0 ]", 0-4) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-0) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-1) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-2) = Ar_0

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-3) = ?

	S("evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\\ Ar_1 + Ar_2 - 1 >= 0 /\\ -Ar_0 + Ar_2 >= 0 /\\ Ar_1 - 1 >= 0 /\\ Ar_1 >= 1 /\\ Fresh_1 >= 0 /\\ Ar_1 >= 2*Fresh_1 /\\ 2*Fresh_1 + 1 >= Ar_1 ]", 0-4) = Ar_0 + Ar_4

	S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-0) = Ar_0

	S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-1) = Ar_0

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

	S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-3) = ?

	S("evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]", 0-4) = Ar_0 + Ar_4

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

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

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

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

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

orients the transitions

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ]

	evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ]

weakly and the transitions

	evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ]

	evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ]

	evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ]

strictly and produces the following problem:

12:	T:

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

		(Comp: 2, Cost: 1)                                     evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortstop(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ -Ar_1 >= 0 ]

		(Comp: Ar_0 + 1, Cost: 1)                              evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ -Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_1 >= 1 /\ Fresh_1 >= 0 /\ Ar_1 >= 2*Fresh_1 /\ 2*Fresh_1 + 1 >= Ar_1 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)                 evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2 + 1, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 6*Ar_0^3 + 19*Ar_0^2 + 15*Ar_0 + 2, Cost: 1)    evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4 - Ar_1)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)                 evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ Ar_3 >= F ]

		(Comp: 6*Ar_0^3 + 19*Ar_0^2 + 15*Ar_0 + 2, Cost: 1)    evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb2in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 - 2 >= 0 /\ Ar_1 + Ar_4 - 2 >= 0 /\ -Ar_1 + Ar_4 >= 0 /\ Ar_0 + Ar_4 - 3 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 - 3 >= 0 /\ Ar_0 - Ar_1 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 3 >= 0 /\ Ar_0 - 2 >= 0 /\ F >= Ar_3 + 1 ]

		(Comp: 6*Ar_0^3 + 19*Ar_0^2 + 15*Ar_0 + 2, Cost: 1)    evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb4in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_4 >= Ar_1 ]

		(Comp: 2*Ar_0^2 + 6*Ar_0 + 4, Cost: 1)                 evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb5in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 - Ar_4 >= 0 /\ Ar_0 - Ar_4 - 1 >= 0 /\ Ar_2 + Ar_4 >= 0 /\ Ar_1 + Ar_4 - 1 >= 0 /\ Ar_0 + Ar_4 - 1 >= 0 /\ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 /\ Ar_1 >= Ar_4 + 1 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)                   evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb3in(Ar_0, Ar_1, Ar_2, Fresh_2, Ar_2)) [ Ar_0 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 - 1 >= 0 ]

		(Comp: 2*Ar_0 + 4, Cost: 1)                            evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb7in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_2 >= Ar_0 ]

		(Comp: Ar_0^2 + 3*Ar_0 + 2, Cost: 1)                   evalrealshellsortbb6in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb1in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 >= Ar_2 + 1 ]

		(Comp: 2, Cost: 1)                                     evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortreturnin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_1 ]

		(Comp: Ar_0 + 2, Cost: 1)                              evalrealshellsortbb8in(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb6in(Ar_0, Ar_1, 0, Ar_3, Ar_4)) [ Ar_1 >= 1 ]

		(Comp: 1, Cost: 1)                                     evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_3, Ar_2, Ar_3, Ar_4)) [ 0 >= Ar_0 + 1 /\ 0 >= Fresh_3 /\ 2*Fresh_3 >= Ar_0 /\ Ar_0 + 1 >= 2*Fresh_3 ]

		(Comp: 1, Cost: 1)                                     evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, Fresh_4, Ar_2, Ar_3, Ar_4)) [ Ar_0 >= 1 /\ Fresh_4 >= 0 /\ Ar_0 >= 2*Fresh_4 /\ 2*Fresh_4 + 1 >= Ar_0 ]

		(Comp: 1, Cost: 1)                                     evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortbb8in(Ar_0, 0, Ar_2, Ar_3, Ar_4)) [ Ar_0 = 0 ]

		(Comp: 1, Cost: 1)                                     evalrealshellsortstart(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4) -> Com_1(evalrealshellsortentryin(Ar_0, Ar_1, Ar_2, Ar_3, Ar_4))

	start location:	koat_start

	leaf cost:	0



Complexity upper bound 73*Ar_0 + 65*Ar_0^2 + 18*Ar_0^3 + 37



Time: 0.655 sec (SMT: 0.491 sec)


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(2)
BOUNDS(1, n^3)