WORST_CASE(?, O(n^2))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: ?, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: ?, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: ?, Cost: 1)    evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 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)    evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: ?, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: ?, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: ?, Cost: 1)    evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealselectstart) = 2
	Pol(evalrealselectentryin) = 2
	Pol(evalrealselectbb6in) = 2
	Pol(evalrealselectbbin) = 2
	Pol(evalrealselectreturnin) = 1
	Pol(evalrealselectbb4in) = 2
	Pol(evalrealselectbb1in) = 2
	Pol(evalrealselectbb5in) = 2
	Pol(evalrealselectstop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
	evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: ?, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: ?, Cost: 1)    evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)    evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealselectstart) = 4*V_2 + 1
	Pol(evalrealselectentryin) = 4*V_2 + 1
	Pol(evalrealselectbb6in) = -4*V_1 + 4*V_2 + 1
	Pol(evalrealselectbbin) = -4*V_1 + 4*V_2
	Pol(evalrealselectreturnin) = -4*V_1 + 4*V_2 + 1
	Pol(evalrealselectbb4in) = -4*V_1 + 4*V_2 - 1
	Pol(evalrealselectbb1in) = -4*V_1 + 4*V_2 - 1
	Pol(evalrealselectbb5in) = -4*V_1 + 4*V_2 - 2
	Pol(evalrealselectstop) = -4*V_1 + 4*V_2 + 1
	Pol(koat_start) = 4*V_2 + 1
orients all transitions weakly and the transition
	evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)             evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2, Cost: 1)             evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: ?, Cost: 1)             evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: ?, Cost: 1)             evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: ?, Cost: 1)             evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)             evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 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)             evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2, Cost: 1)             evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: ?, Cost: 1)             evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: ?, Cost: 1)             evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)             evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealselectbb5in) = 0
	Pol(evalrealselectbb6in) = -1
	Pol(evalrealselectbb4in) = 1
	Pol(evalrealselectbb1in) = 1
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))", 0-0) = ?
	S("evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))", 0-2) = ?
	S("evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))", 0-0) = ?
	S("evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))", 0-2) = ?
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]", 0-0) = ?
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]", 0-1) = Ar_1
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]", 0-2) = ?
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]", 0-0) = ?
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]", 0-1) = Ar_1
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]", 0-2) = ?
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-0) = ?
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-1) = Ar_1
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-2) = ?
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]", 0-0) = ?
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]", 0-1) = Ar_1
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]", 0-2) = ?
	S("evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))", 0-0) = ?
	S("evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))", 0-1) = Ar_1
	S("evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))", 0-2) = ?
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]", 0-0) = ?
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]", 0-1) = Ar_1
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]", 0-2) = ?
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]", 0-0) = ?
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]", 0-1) = Ar_1
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]", 0-2) = ?
	S("evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))", 0-0) = 0
	S("evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
	evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
	evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
	evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
	evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
weakly and the transition
	evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)             evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2, Cost: 1)             evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: ?, Cost: 1)             evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: ?, Cost: 1)             evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)             evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 6 produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)             evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2, Cost: 1)             evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: ?, Cost: 1)             evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)             evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: 4*Ar_1 + 1, Cost: 1)    evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)             evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealselectbb4in) = V_2 - V_3 + 2
	Pol(evalrealselectbb1in) = V_2 - V_3 + 1
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))", 0-0) = 4*Ar_1 + 256
	S("evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))", 0-2) = ?
	S("evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))", 0-0) = 4*Ar_1 + 16
	S("evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))", 0-2) = ?
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]", 0-0) = 4*Ar_1 + 16
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]", 0-1) = Ar_1
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]", 0-2) = ?
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]", 0-0) = 4*Ar_1 + 16
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]", 0-1) = Ar_1
	S("evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]", 0-2) = ?
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-0) = 4*Ar_1 + 16
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-1) = Ar_1
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]", 0-2) = ?
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]", 0-0) = 4*Ar_1 + 16
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]", 0-1) = Ar_1
	S("evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]", 0-2) = ?
	S("evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))", 0-0) = 4*Ar_1 + 16
	S("evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))", 0-1) = Ar_1
	S("evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))", 0-2) = 4*Ar_1 + 68
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]", 0-0) = 4*Ar_1 + 64
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]", 0-1) = Ar_1
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]", 0-2) = ?
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]", 0-0) = 4*Ar_1 + 16
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]", 0-1) = Ar_1
	S("evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]", 0-2) = ?
	S("evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))", 0-0) = 0
	S("evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))", 0-2) = Ar_2
	S("evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))", 0-0) = Ar_0
	S("evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))", 0-1) = Ar_1
	S("evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))", 0-2) = Ar_2
orients the transitions
	evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
	evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
	evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
weakly and the transition
	evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 1)                            evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                            evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2, Cost: 1)                            evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: 20*Ar_1^2 + 285*Ar_1 + 70, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)                            evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: ?, Cost: 1)                            evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)                            evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)                            koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 8 produces the following problem:
9:	T:
		(Comp: 1, Cost: 1)                            evalrealselectstart(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)                            evalrealselectentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(0, Ar_1, Ar_2))
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbbin(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_0 + 2 ]
		(Comp: 2, Cost: 1)                            evalrealselectbb6in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectreturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 + 1 >= Ar_1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbbin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_0 + 1))
		(Comp: 20*Ar_1^2 + 285*Ar_1 + 70, Cost: 1)    evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb1in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb5in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: 20*Ar_1^2 + 285*Ar_1 + 70, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ D >= E + 1 ]
		(Comp: 20*Ar_1^2 + 285*Ar_1 + 70, Cost: 1)    evalrealselectbb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb4in(Ar_0, Ar_1, Ar_2 + 1)) [ E >= D ]
		(Comp: 4*Ar_1 + 1, Cost: 1)                   evalrealselectbb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectbb6in(Ar_0 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)                            evalrealselectreturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)                            koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalrealselectstart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 871*Ar_1 + 60*Ar_1^2 + 220

Time: 0.962 sec (SMT: 0.924 sec)