
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(evalfbb4in(1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(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)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(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(evalfbb4in(1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(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)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(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(evalfbb4in) = 2
	Pol(evalfbb2in) = 2
	Pol(evalfreturnin) = 1
	Pol(evalfbb1in) = 2
	Pol(evalfbb3in) = 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))
	evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
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(evalfbb4in(1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: 2, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(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)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(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) = V_2
	Pol(evalfentryin) = V_2
	Pol(evalfbb4in) = -V_1 + V_2 + 1
	Pol(evalfbb2in) = -V_1 + V_2
	Pol(evalfreturnin) = -V_1 + V_2
	Pol(evalfbb1in) = -V_1 + V_2
	Pol(evalfbb3in) = -V_1 + V_2
	Pol(evalfstop) = -V_1 + V_2
	Pol(koat_start) = V_2
orients all transitions weakly and the transition
	evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
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(evalfbb4in(1, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_1, Cost: 1)    evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: 2, Cost: 1)       evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)       evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(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)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)       evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: ?, Cost: 1)       evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(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(evalfbb3in) = 1
	Pol(evalfbb4in) = 0
	Pol(evalfbb2in) = 2
	Pol(evalfbb1in) = 2
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-0) = ?
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-1) = Ar_1
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-2) = ?
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-3) = Ar_3
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-0) = ?
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-1) = Ar_1
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-2) = ?
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-3) = Ar_3
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-0) = ?
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-1) = Ar_1
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-2) = ?
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-3) = Ar_3
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = ?
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = ?
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = ?
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = 1
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-0) = 1
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
	evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
	evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
	evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
weakly and the transitions
	evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))
	evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 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(evalfbb4in(1, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_1, Cost: 1)      evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: 2, Cost: 1)         evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)         evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: 2*Ar_1, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)         evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 2*Ar_1, Cost: 1)    evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(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(evalfbb2in) = -V_3 + V_4 + 1
	Pol(evalfbb1in) = -V_3 + V_4
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 2*Ar_1 + 20
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfstop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-0) = 2*Ar_1 + 4
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-2) = ?
	S("evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(Ar_0 + 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-0) = 2*Ar_1 + 4
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-1) = Ar_1
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-2) = ?
	S("evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))", 0-3) = Ar_3
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-0) = 2*Ar_1 + 4
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-1) = Ar_1
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-2) = ?
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]", 0-3) = Ar_3
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-0) = 2*Ar_1 + 4
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-1) = Ar_1
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-2) = ?
	S("evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]", 0-3) = Ar_3
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = 2*Ar_1 + 10
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = Ar_1
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = ?
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = 2*Ar_1 + 4
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = Ar_1
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = 1
	S("evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = Ar_3
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-0) = 1
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalfstart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
	evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
weakly and the transition
	evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
strictly and produces the following problem:
6:	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(evalfbb4in(1, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_1, Cost: 1)                  evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: 2, Cost: 1)                     evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: Ar_1*Ar_3 + 2*Ar_1, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: 2*Ar_1, Cost: 1)                evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: ?, Cost: 1)                     evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 2*Ar_1, Cost: 1)                evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(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

Repeatedly propagating knowledge in problem 6 produces the following problem:
7:	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(evalfbb4in(1, Ar_1, Ar_2, Ar_3))
		(Comp: Ar_1, Cost: 1)                  evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, 1, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: 2, Cost: 1)                     evalfbb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfreturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: Ar_1*Ar_3 + 2*Ar_1, Cost: 1)    evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_3 >= Ar_2 ]
		(Comp: 2*Ar_1, Cost: 1)                evalfbb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= Ar_3 + 1 ]
		(Comp: Ar_1*Ar_3 + 2*Ar_1, Cost: 1)    evalfbb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb2in(Ar_0, Ar_1, Ar_2 + 1, Ar_3))
		(Comp: 2*Ar_1, Cost: 1)                evalfbb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalfbb4in(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

Complexity upper bound 9*Ar_1 + 2*Ar_1*Ar_3 + 6

Time: 0.042 sec (SMT: 0.031 sec)
