MAYBE

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ E >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 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)    evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ E >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalfstart) = 2
	Pol(evalfentryin) = 2
	Pol(evalfbb7in) = 2
	Pol(evalfbb5in) = 2
	Pol(evalfreturnin) = 1
	Pol(evalfbb3in) = 2
	Pol(evalfbb6in) = 2
	Pol(evalfbb2in) = 2
	Pol(evalfbb4in) = 2
	Pol(evalfstop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))
	evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
	evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
	evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ Ar_0 >= 0 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ E >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ Ar_0 >= 0 ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalfstart) = 0
	Pol(evalfentryin) = 0
	Pol(evalfbb7in) = -3*V_1
	Pol(evalfbb5in) = -3*V_1 - 1
	Pol(evalfreturnin) = -3*V_1
	Pol(evalfbb3in) = -3*V_1 - 1
	Pol(evalfbb6in) = -3*V_1 - 2
	Pol(evalfbb2in) = -3*V_1 - 1
	Pol(evalfbb4in) = -3*V_1 - 1
	Pol(evalfstop) = -3*V_1
	Pol(koat_start) = 0
orients all transitions weakly and the transition
	evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)    evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ E >= Ar_0 + 1 ]
		(Comp: 0, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ Ar_0 >= 0 ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalfstart) = 0
	Pol(evalfentryin) = 0
	Pol(evalfbb7in) = -3*V_1
	Pol(evalfbb5in) = -3*V_1 - 1
	Pol(evalfreturnin) = -3*V_1
	Pol(evalfbb3in) = -3*V_1 - 1
	Pol(evalfbb6in) = -3*V_1 - 2
	Pol(evalfbb2in) = -3*V_1 - 1
	Pol(evalfbb4in) = -3*V_1 - 1
	Pol(evalfstop) = -3*V_1
	Pol(koat_start) = 0
orients all transitions weakly and the transition
	evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)    evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(0, Ar_1, Ar_2, Ar_3))
		(Comp: 0, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ E >= Ar_0 + 1 ]
		(Comp: 0, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ Ar_0 >= 0 ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Applied AI with 'oct' on problem 5 to obtain the following invariants:
  For symbol evalfbb2in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 >= 0
  For symbol evalfbb3in: X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
  For symbol evalfbb4in: X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
  For symbol evalfbb5in: X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 >= 0
  For symbol evalfbb6in: X_3 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_1 >= 0
  For symbol evalfbb7in: X_1 >= 0
  For symbol evalfreturnin: X_1 >= 0


This yielded the following problem:
6:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)    evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 ]
		(Comp: 0, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 0 /\ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ E >= Ar_0 + 1 ]
		(Comp: 0, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

Testing for unsatisfiable constraints removes the following transitions from problem 6:
	evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 0 /\ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ E >= Ar_0 + 1 /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
	evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 /\ 0 >= Ar_0 + 1 ]
We thus obtain the following problem:
7:	T:
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
		(Comp: 2, Cost: 1)    evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(Ar_0 + 1, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ -Ar_1 + Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, Ar_2 + 1, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ -Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3 + 1)) [ Ar_2 - Ar_3 - 1 >= 0 /\ Ar_1 - Ar_3 - 2 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 - 1 >= 0 /\ Ar_1 + Ar_3 - 2 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 - 1 >= 0 /\ Ar_1 + Ar_2 - 3 >= 0 /\ Ar_0 + Ar_2 - 1 >= 0 /\ Ar_1 - 2 >= 0 /\ Ar_0 + Ar_1 - 2 >= 0 /\ Ar_0 >= 0 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_3 >= Ar_2 ]
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 - Ar_3 >= 0 /\ Ar_1 - Ar_3 - 1 >= 0 /\ Ar_3 >= 0 /\ Ar_2 + Ar_3 >= 0 /\ Ar_1 + Ar_3 - 1 >= 0 /\ Ar_0 + Ar_3 >= 0 /\ Ar_1 - Ar_2 - 1 >= 0 /\ Ar_2 >= 0 /\ Ar_1 + Ar_2 - 1 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_1 - 1 >= 0 /\ Ar_0 + Ar_1 - 1 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, 0)) [ Ar_2 >= 0 /\ Ar_0 + Ar_2 >= 0 /\ Ar_0 >= 0 /\ Ar_1 >= Ar_2 + 1 ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ 0 >= Ar_1^3 + 1 /\ 0 >= E /\ Ar_0 >= E /\ 2*E >= Ar_1^3 /\ Ar_1^3 + 1 >= 2*E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ Ar_0 >= E ]
		(Comp: 2, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 0 /\ 0 >= Ar_1^3 ]
		(Comp: ?, Cost: 1)    evalfbb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb5in(Ar_0, Ar_1, 0, Ar_3)) [ Ar_0 >= 0 /\ Ar_1^3 >= 1 /\ E >= 0 /\ Ar_1^3 >= 2*E /\ 2*E + 1 >= Ar_1^3 /\ E >= Ar_0 + 1 ]
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb7in(0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 3.492 sec (SMT: 3.332 sec)