2.70/1.71	WORST_CASE(?, O(n^2))
2.70/1.72	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.70/1.72	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.70/1.72	
2.70/1.72	
2.70/1.72	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
2.70/1.72	
2.70/1.72	(0) CpxIntTrs
2.70/1.72	(1) Koat Proof [FINISHED, 578 ms]
2.70/1.72	(2) BOUNDS(1, n^2)
2.70/1.72	
2.70/1.72	
2.70/1.72	----------------------------------------
2.70/1.72	
2.70/1.72	(0)
2.70/1.72	Obligation:
2.70/1.72	Complexity Int TRS consisting of the following rules:
2.70/1.72	eval_foo_start(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_a, v_b, v_x, v_y)) :|: TRUE
2.70/1.72	eval_foo_bb0_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_a, v_b, v_x, v_y)) :|: v_a >= v_b && v_a <= v_b
2.70/1.72	eval_foo_bb0_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_a, v_b, v_x, v_y)) :|: v_a < v_b
2.70/1.72	eval_foo_bb0_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_a, v_b, v_x, v_y)) :|: v_a > v_b
2.70/1.72	eval_foo_bb1_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_a, v_b, v_x, v_y)) :|: v_.0 >= 0
2.70/1.72	eval_foo_bb1_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_a, v_b, v_x, v_y)) :|: v_.01 >= 0
2.70/1.72	eval_foo_bb1_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_a, v_b, v_x, v_y)) :|: v_.0 < 0 && v_.01 < 0
2.70/1.72	eval_foo_bb2_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.0 + v_a - v_b - 1, v_.01 + v_b - v_a - 1, v_a, v_b, v_x, v_y)) :|: TRUE
2.70/1.72	eval_foo_bb3_in(v_.0, v_.01, v_a, v_b, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_a, v_b, v_x, v_y)) :|: TRUE
2.70/1.72	
2.70/1.72	The start-symbols are:[eval_foo_start_6]
2.70/1.72	
2.70/1.72	
2.70/1.72	----------------------------------------
2.70/1.72	
2.70/1.72	(1) Koat Proof (FINISHED)
2.70/1.72	YES(?, 4*ar_3 + 2*ar_3*ar_5 + 2*ar_5^2 + 10*ar_5 + 18)
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	Initial complexity problem:
2.70/1.72	
2.70/1.72	1:	T:
2.70/1.72	
2.70/1.72			(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))
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb1in(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)) [ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5))
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(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 ]
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.70/1.72	
2.70/1.72	2:	T:
2.70/1.72	
2.70/1.72			(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))
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb1in(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)) [ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5))
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(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 ]
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	A polynomial rank function with
2.70/1.72	
2.70/1.72		Pol(evalfoostart) = 2
2.70/1.72	
2.70/1.72		Pol(evalfoobb0in) = 2
2.70/1.72	
2.70/1.72		Pol(evalfoobb1in) = 2
2.70/1.72	
2.70/1.72		Pol(evalfoobb3in) = 1
2.70/1.72	
2.70/1.72		Pol(evalfoobb2in) = 2
2.70/1.72	
2.70/1.72		Pol(evalfoostop) = 0
2.70/1.72	
2.70/1.72		Pol(koat_start) = 2
2.70/1.72	
2.70/1.72	orients all transitions weakly and the transitions
2.70/1.72	
2.70/1.72		evalfoobb3in(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))
2.70/1.72	
2.70/1.72		evalfoobb1in(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)) [ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72	strictly and produces the following problem:
2.70/1.72	
2.70/1.72	3:	T:
2.70/1.72	
2.70/1.72			(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))
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)    evalfoobb1in(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)) [ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5))
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)    evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(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 ]
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.70/1.72	
2.70/1.72	  For symbol evalfoobb1in: X_1 - X_2 >= 0 /\ -X_1 + X_2 >= 0
2.70/1.72	
2.70/1.72	  For symbol evalfoobb2in: X_1 - X_2 >= 0 /\ -X_1 + X_2 >= 0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	This yielded the following problem:
2.70/1.72	
2.70/1.72	4:	T:
2.70/1.72	
2.70/1.72			(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 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)    evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)    evalfoobb1in(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_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(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))
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	A polynomial rank function with
2.70/1.72	
2.70/1.72		Pol(evalfoobb2in) = V_5
2.70/1.72	
2.70/1.72		Pol(evalfoobb1in) = V_5 + 1
2.70/1.72	
2.70/1.72	and size complexities
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-2) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-4) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-2) = ar_2
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-4) = ar_4
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-2) = ar_2
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-4) = ar_4
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-2) = ?
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-2) = ?
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-2) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-2) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ar_5
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72		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
2.70/1.72	
2.70/1.72	orients the transitions
2.70/1.72	
2.70/1.72		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72	weakly and the transition
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72	strictly and produces the following problem:
2.70/1.72	
2.70/1.72	5:	T:
2.70/1.72	
2.70/1.72			(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 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb1in(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_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(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))
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	By chaining the transition 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 ] with all transitions in problem 5, the following new transition is obtained:
2.70/1.72	
2.70/1.72		koat_start(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 ]
2.70/1.72	
2.70/1.72	We thus obtain the following problem:
2.70/1.72	
2.70/1.72	6:	T:
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           koat_start(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 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb1in(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_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(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))
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	Testing for reachability in the complexity graph removes the following transition from problem 6:
2.70/1.72	
2.70/1.72		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))
2.70/1.72	
2.70/1.72	We thus obtain the following problem:
2.70/1.72	
2.70/1.72	7:	T:
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72			(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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb1in(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_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           koat_start(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 ]
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	By chaining the transition 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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ] with all transitions in problem 7, the following new transition is obtained:
2.70/1.72	
2.70/1.72		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72	We thus obtain the following problem:
2.70/1.72	
2.70/1.72	8:	T:
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb1in(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_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           koat_start(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 ]
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	Repeatedly propagating knowledge in problem 8 produces the following problem:
2.70/1.72	
2.70/1.72	9:	T:
2.70/1.72	
2.70/1.72			(Comp: ?, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb1in(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_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)           evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)           koat_start(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 ]
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	A polynomial rank function with
2.70/1.72	
2.70/1.72		Pol(evalfoobb1in) = V_3 + 1
2.70/1.72	
2.70/1.72	and size complexities
2.70/1.72	
2.70/1.72		S("koat_start(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 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("koat_start(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 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("koat_start(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 ]", 0-2) = ar_2
2.70/1.72	
2.70/1.72		S("koat_start(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 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("koat_start(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 ]", 0-4) = ar_4
2.70/1.72	
2.70/1.72		S("koat_start(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 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-2) = ar_2
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-4) = ar_4
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_0 >= ar_1 + 1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-2) = ar_2
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-4) = ar_4
2.70/1.72	
2.70/1.72		S("evalfoobb0in(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_1 >= ar_0 + 1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-2) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-4) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ar_2 + ar_3 + ar_5 + 2
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb3in(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) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-2) = ar_3 + ar_5 + 2
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb1in(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_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_2 + 1 /\\ 0 >= ar_4 + 1 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-2) = ar_3 + ar_5 + 2
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= 0 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-2) = ar_3 + ar_5 + 2
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-0) = ar_0
2.70/1.72	
2.70/1.72		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-1) = ar_1
2.70/1.72	
2.70/1.72		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-2) = ar_3 + ar_5 + 2
2.70/1.72	
2.70/1.72		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-3) = ar_3
2.70/1.72	
2.70/1.72		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-4) = ?
2.70/1.72	
2.70/1.72		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= 0 ]", 0-5) = ar_5
2.70/1.72	
2.70/1.72	orients the transitions
2.70/1.72	
2.70/1.72		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72	weakly and the transition
2.70/1.72	
2.70/1.72		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72	strictly and produces the following problem:
2.70/1.72	
2.70/1.72	10:	T:
2.70/1.72	
2.70/1.72			(Comp: 2*ar_3 + ar_3*ar_5 + ar_5^2 + 4*ar_5 + 4, Cost: 2)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 1, Cost: 1)                                    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + ar_0 - ar_1 - 1, ar_3, ar_4 + ar_1 - ar_0 - 1, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: ar_5 + 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_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)                                           evalfoobb1in(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_0 - ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 + 1 /\ 0 >= ar_4 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 2, Cost: 1)                                           evalfoobb3in(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))
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)                                           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_3, ar_3, ar_5, ar_5)) [ ar_0 = ar_1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)                                           evalfoobb0in(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_1 >= ar_0 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)                                           evalfoobb0in(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_0 >= ar_1 + 1 ]
2.70/1.72	
2.70/1.72			(Comp: 1, Cost: 1)                                           koat_start(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 ]
2.70/1.72	
2.70/1.72		start location:	koat_start
2.70/1.72	
2.70/1.72		leaf cost:	0
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	Complexity upper bound 4*ar_3 + 2*ar_3*ar_5 + 2*ar_5^2 + 10*ar_5 + 18
2.70/1.72	
2.70/1.72	
2.70/1.72	
2.70/1.72	Time: 0.541 sec (SMT: 0.441 sec)
2.70/1.72	
2.70/1.72	
2.70/1.72	----------------------------------------
2.70/1.72	
2.70/1.72	(2)
2.70/1.72	BOUNDS(1, n^2)
2.82/1.75	EOF