2.12/1.44	WORST_CASE(?, O(n^1))
2.12/1.45	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.12/1.45	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.12/1.45	
2.12/1.45	
2.12/1.45	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.12/1.45	
2.12/1.45	(0) CpxIntTrs
2.12/1.45	(1) Koat Proof [FINISHED, 179 ms]
2.12/1.45	(2) BOUNDS(1, n^1)
2.12/1.45	
2.12/1.45	
2.12/1.45	----------------------------------------
2.12/1.45	
2.12/1.45	(0)
2.12/1.45	Obligation:
2.12/1.45	Complexity Int TRS consisting of the following rules:
2.12/1.45	eval_foo_start(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y)) :|: TRUE
2.12/1.45	eval_foo_bb0_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.12, v_.14, v_c, v_x, v_y)) :|: TRUE
2.12/1.45	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.01, v_.03, v_.01, v_.03, v_c, v_x, v_y)) :|: v_.01 >= v_.03 && v_.01 <= v_.03 && v_.01 > 0
2.12/1.45	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y)) :|: v_.01 < v_.03
2.12/1.45	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y)) :|: v_.01 > v_.03
2.12/1.45	eval_foo_bb1_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y)) :|: v_.01 <= 0
2.12/1.45	eval_foo_bb2_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y)) :|: v_.14 > 0
2.12/1.45	eval_foo_bb2_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.12, v_.14, v_.12, v_.14, v_c, v_x, v_y)) :|: v_.14 <= 0
2.12/1.45	eval_foo_bb3_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.01, v_.03, v_.12 - 1, v_.14 - 1, v_c, v_x, v_y)) :|: TRUE
2.12/1.45	eval_foo_bb4_in(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y) -> Com_1(eval_foo_stop(v_.01, v_.03, v_.12, v_.14, v_c, v_x, v_y)) :|: TRUE
2.12/1.45	
2.12/1.45	The start-symbols are:[eval_foo_start_7]
2.12/1.45	
2.12/1.45	
2.12/1.45	----------------------------------------
2.12/1.45	
2.12/1.45	(1) Koat Proof (FINISHED)
2.12/1.45	YES(?, 4*ar_3 + 12)
2.12/1.45	
2.12/1.45	
2.12/1.45	
2.12/1.45	Initial complexity problem:
2.12/1.45	
2.12/1.45	1:	T:
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\ ar_0 = ar_2 ]
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))
2.12/1.45	
2.12/1.45			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.12/1.45	
2.12/1.45			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.12/1.45	
2.12/1.45		start location:	koat_start
2.12/1.45	
2.12/1.45		leaf cost:	0
2.12/1.45	
2.12/1.45	
2.12/1.45	
2.12/1.45	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.12/1.45	
2.12/1.45	2:	T:
2.12/1.45	
2.12/1.45			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.12/1.45	
2.12/1.45			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.12/1.45	
2.12/1.45			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\ ar_0 = ar_2 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.45	
2.31/1.45			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.31/1.45	
2.31/1.45		start location:	koat_start
2.31/1.45	
2.31/1.45		leaf cost:	0
2.31/1.45	
2.31/1.45	
2.31/1.45	
2.31/1.45	A polynomial rank function with
2.31/1.45	
2.31/1.45		Pol(evalfoostart) = 2
2.31/1.45	
2.31/1.45		Pol(evalfoobb0in) = 2
2.31/1.45	
2.31/1.45		Pol(evalfoobb1in) = 2
2.31/1.45	
2.31/1.45		Pol(evalfoobb2in) = 2
2.31/1.45	
2.31/1.45		Pol(evalfoobb4in) = 1
2.31/1.45	
2.31/1.45		Pol(evalfoobb3in) = 2
2.31/1.45	
2.31/1.45		Pol(evalfoostop) = 0
2.31/1.45	
2.31/1.45		Pol(koat_start) = 2
2.31/1.45	
2.31/1.45	orients all transitions weakly and the transitions
2.31/1.45	
2.31/1.45		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.45	
2.31/1.45		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]
2.31/1.45	
2.31/1.45		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
2.31/1.45	
2.31/1.45		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.31/1.45	
2.31/1.45	strictly and produces the following problem:
2.31/1.45	
2.31/1.45	3:	T:
2.31/1.45	
2.31/1.45			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.45	
2.31/1.45			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.31/1.45	
2.31/1.45			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\ ar_0 = ar_2 ]
2.31/1.45	
2.31/1.45			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]
2.31/1.45	
2.31/1.45			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
2.31/1.45	
2.31/1.45			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.31/1.45	
2.31/1.45			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))
2.31/1.45	
2.31/1.45			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.45	
2.31/1.45			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.31/1.45	
2.31/1.45		start location:	koat_start
2.31/1.45	
2.31/1.45		leaf cost:	0
2.31/1.45	
2.31/1.45	
2.31/1.45	
2.31/1.45	A polynomial rank function with
2.31/1.45	
2.31/1.45		Pol(evalfoobb3in) = 1
2.31/1.45	
2.31/1.45		Pol(evalfoobb2in) = 1
2.31/1.45	
2.31/1.45		Pol(evalfoobb1in) = 0
2.31/1.45	
2.31/1.45	and size complexities
2.31/1.45	
2.31/1.45		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
2.31/1.45	
2.31/1.45		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
2.31/1.46	
2.31/1.46		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
2.31/1.46	
2.31/1.46		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
2.31/1.46	
2.31/1.46		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))", 0-0) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))", 0-2) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))", 0-4) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))", 0-5) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-0) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-2) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-4) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-5) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-0) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-2) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-4) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]", 0-5) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-0) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-2) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-4) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-5) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-0) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-2) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-4) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-5) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]", 0-5) = ?
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\\ ar_0 = ar_2 ]", 0-0) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\\ ar_0 = ar_2 ]", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\\ ar_0 = ar_2 ]", 0-2) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\\ ar_0 = ar_2 ]", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\\ ar_0 = ar_2 ]", 0-4) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\\ ar_0 = ar_2 ]", 0-5) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-0) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-2) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.31/1.46	
2.31/1.46		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.31/1.46	
2.31/1.46		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
2.31/1.46	
2.31/1.46		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.31/1.46	
2.31/1.46		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.31/1.46	
2.31/1.46		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.31/1.46	
2.31/1.46		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.31/1.46	
2.31/1.46		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.31/1.46	
2.31/1.46	orients the transitions
2.31/1.46	
2.31/1.46		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))
2.31/1.46	
2.31/1.46		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.31/1.46	
2.31/1.46		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.31/1.46	
2.31/1.46	weakly and the transition
2.31/1.46	
2.31/1.46		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.31/1.46	
2.31/1.46	strictly and produces the following problem:
2.31/1.46	
2.31/1.46	4:	T:
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\ ar_0 = ar_2 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.31/1.46	
2.31/1.46			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.31/1.46	
2.31/1.46			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.31/1.46	
2.31/1.46		start location:	koat_start
2.31/1.46	
2.31/1.46		leaf cost:	0
2.31/1.46	
2.31/1.46	
2.31/1.46	
2.31/1.46	A polynomial rank function with
2.31/1.46	
2.31/1.46		Pol(evalfoostart) = 2*V_4
2.31/1.46	
2.31/1.46		Pol(evalfoobb0in) = 2*V_4
2.31/1.46	
2.31/1.46		Pol(evalfoobb1in) = 2*V_3
2.31/1.46	
2.31/1.46		Pol(evalfoobb2in) = V_6 + 1
2.31/1.46	
2.31/1.46		Pol(evalfoobb4in) = 2*V_3
2.31/1.46	
2.31/1.46		Pol(evalfoobb3in) = V_6
2.31/1.46	
2.31/1.46		Pol(evalfoostop) = 2*V_3
2.31/1.46	
2.31/1.46		Pol(koat_start) = 2*V_4
2.31/1.46	
2.31/1.46	orients all transitions weakly and the transition
2.31/1.46	
2.31/1.46		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.31/1.46	
2.31/1.46	strictly and produces the following problem:
2.31/1.46	
2.31/1.46	5:	T:
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\ ar_0 = ar_2 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.31/1.46	
2.31/1.46			(Comp: 2*ar_3, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.31/1.46	
2.31/1.46			(Comp: ?, Cost: 1)         evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.31/1.46	
2.31/1.46		start location:	koat_start
2.31/1.46	
2.31/1.46		leaf cost:	0
2.31/1.46	
2.31/1.46	
2.31/1.46	
2.31/1.46	Repeatedly propagating knowledge in problem 5 produces the following problem:
2.31/1.46	
2.31/1.46	6:	T:
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_2 >= 1 /\ ar_0 = ar_2 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 + 1 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.31/1.46	
2.31/1.46			(Comp: 2*ar_3, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 1)         evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.31/1.46	
2.31/1.46			(Comp: 2*ar_3, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5 - 1))
2.31/1.46	
2.31/1.46			(Comp: 2, Cost: 1)         evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.31/1.46	
2.31/1.46			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.31/1.46	
2.31/1.46		start location:	koat_start
2.31/1.46	
2.31/1.46		leaf cost:	0
2.31/1.46	
2.31/1.46	
2.31/1.46	
2.31/1.46	Complexity upper bound 4*ar_3 + 12
2.31/1.46	
2.31/1.46	
2.31/1.46	
2.31/1.46	Time: 0.134 sec (SMT: 0.107 sec)
2.31/1.46	
2.31/1.46	
2.31/1.46	----------------------------------------
2.31/1.46	
2.31/1.46	(2)
2.31/1.46	BOUNDS(1, n^1)
2.31/1.48	EOF