2.71/1.85	WORST_CASE(?, O(n^1))
2.71/1.86	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.71/1.86	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.71/1.86	
2.71/1.86	
2.71/1.86	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.71/1.86	
2.71/1.86	(0) CpxIntTrs
2.71/1.86	(1) Koat Proof [FINISHED, 580 ms]
2.71/1.86	(2) BOUNDS(1, n^1)
2.71/1.86	
2.71/1.86	
2.71/1.86	----------------------------------------
2.71/1.86	
2.71/1.86	(0)
2.71/1.86	Obligation:
2.71/1.86	Complexity Int TRS consisting of the following rules:
2.71/1.86	eval_foo_start(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: TRUE
2.71/1.86	eval_foo_bb0_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_3, v_4, v_x, v_y)) :|: TRUE
2.71/1.86	eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.0 > v_.01 && v_.01 >= 1 && v_.01 <= 2
2.71/1.86	eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.0 <= v_.01
2.71/1.86	eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.01 < 1
2.71/1.86	eval_foo_bb1_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: v_.01 > 2
2.71/1.86	eval_foo_bb2_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_1(v_.0, v_.01, v_.0 - v_.01, v_4, v_x, v_y)) :|: TRUE
2.71/1.86	eval_foo_1(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_3, v_4, v_x, v_y), eval_foo_2(v_.0, v_.01, v_3, nondef.0, v_x, v_y)) :|: TRUE
2.71/1.86	eval_foo_2(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_3, v_4, v_3, v_4, v_x, v_y)) :|: TRUE
2.71/1.86	eval_foo_.critedge_in(v_.0, v_.01, v_3, v_4, v_x, v_y) -> Com_1(eval_foo_stop(v_.0, v_.01, v_3, v_4, v_x, v_y)) :|: TRUE
2.71/1.86	
2.71/1.86	The start-symbols are:[eval_foo_start_6]
2.71/1.86	
2.71/1.86	
2.71/1.86	----------------------------------------
2.71/1.86	
2.71/1.86	(1) Koat Proof (FINISHED)
2.71/1.86	YES(?, 36*ar_1 + 10)
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	Initial complexity problem:
2.71/1.86	
2.71/1.86	1:	T:
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 3 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.71/1.86	
2.71/1.86		start location:	koat_start
2.71/1.86	
2.71/1.86		leaf cost:	0
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.71/1.86	
2.71/1.86	2:	T:
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 3 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.71/1.86	
2.71/1.86		start location:	koat_start
2.71/1.86	
2.71/1.86		leaf cost:	0
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	A polynomial rank function with
2.71/1.86	
2.71/1.86		Pol(evalfoostart) = 2
2.71/1.86	
2.71/1.86		Pol(evalfoobb0in) = 2
2.71/1.86	
2.71/1.86		Pol(evalfoobb1in) = 2
2.71/1.86	
2.71/1.86		Pol(evalfoobb2in) = 2
2.71/1.86	
2.71/1.86		Pol(evalfoocritedgein) = 1
2.71/1.86	
2.71/1.86		Pol(evalfoo1) = 2
2.71/1.86	
2.71/1.86		Pol(evalfoo10) = 0
2.71/1.86	
2.71/1.86		Pol(evalVERIFIERnondetintstart) = 0
2.71/1.86	
2.71/1.86		Pol(evalfoo11) = 2
2.71/1.86	
2.71/1.86		Pol(evalfoo2) = 2
2.71/1.86	
2.71/1.86		Pol(evalfoostop) = 0
2.71/1.86	
2.71/1.86		Pol(koat_start) = 2
2.71/1.86	
2.71/1.86	orients all transitions weakly and the transitions
2.71/1.86	
2.71/1.86		evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 3 ]
2.71/1.86	
2.71/1.86		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 ]
2.71/1.86	
2.71/1.86		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]
2.71/1.86	
2.71/1.86	strictly and produces the following problem:
2.71/1.86	
2.71/1.86	3:	T:
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_0 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= 3 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h))
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.71/1.86	
2.71/1.86		start location:	koat_start
2.71/1.86	
2.71/1.86		leaf cost:	0
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.71/1.86	
2.71/1.86	  For symbol evalfoo1: X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ -X_3 + X_5 + 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 2 >= 0 /\ -X_3 + 2 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.71/1.86	
2.71/1.86	  For symbol evalfoo10: X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ -X_3 + X_5 + 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 2 >= 0 /\ -X_3 + 2 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.71/1.86	
2.71/1.86	  For symbol evalfoo11: X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ -X_3 + X_5 + 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 2 >= 0 /\ -X_3 + 2 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.71/1.86	
2.71/1.86	  For symbol evalfoo2: X_6 - X_7 >= 0 /\ -X_6 + X_7 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ -X_3 + X_5 + 1 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_1 + X_5 + 2 >= 0 /\ -X_3 + 2 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.71/1.86	
2.71/1.86	  For symbol evalfoobb1in: -X_1 + X_2 >= 0
2.71/1.86	
2.71/1.86	  For symbol evalfoobb2in: -X_3 + 2 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.71/1.86	
2.71/1.86	  For symbol evalfoocritedgein: -X_1 + X_2 >= 0
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	This yielded the following problem:
2.71/1.86	
2.71/1.86	4:	T:
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6)) [ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_2 >= 3 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_0 ]
2.71/1.86	
2.71/1.86			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86		start location:	koat_start
2.71/1.86	
2.71/1.86		leaf cost:	0
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	A polynomial rank function with
2.71/1.86	
2.71/1.86		Pol(koat_start) = 6*V_2
2.71/1.86	
2.71/1.86		Pol(evalfoostart) = 6*V_2 - 3
2.71/1.86	
2.71/1.86		Pol(evalfoocritedgein) = 6*V_1 - 3
2.71/1.86	
2.71/1.86		Pol(evalfoostop) = 6*V_1 - 3
2.71/1.86	
2.71/1.86		Pol(evalfoo2) = 6*V_5 - 2
2.71/1.86	
2.71/1.86		Pol(evalfoobb1in) = 6*V_1 - 3
2.71/1.86	
2.71/1.86		Pol(evalfoo1) = 6*V_3 + 6*V_5 - 5
2.71/1.86	
2.71/1.86		Pol(evalfoo10) = 1
2.71/1.86	
2.71/1.86		Pol(evalfoo11) = 6*V_5 - 1
2.71/1.86	
2.71/1.86		Pol(evalVERIFIERnondetintstart) = 0
2.71/1.86	
2.71/1.86		Pol(evalfoobb2in) = 6*V_1 - 4
2.71/1.86	
2.71/1.86		Pol(evalfoobb0in) = 6*V_2 - 3
2.71/1.86	
2.71/1.86	orients all transitions weakly and the transitions
2.71/1.86	
2.71/1.86		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6)) [ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ]
2.71/1.86	
2.71/1.86		evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86		evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86		evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86		evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86	strictly and produces the following problem:
2.71/1.86	
2.71/1.86	5:	T:
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)         evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 6*ar_1, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5, ar_6)) [ ar_5 - ar_6 >= 0 /\ -ar_5 + ar_6 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 6*ar_1, Cost: 1)    evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_2(evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h), evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, h)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 6*ar_1, Cost: 1)    evalfoo11(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_6, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 6*ar_1, Cost: 1)    evalfoo10(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ -ar_2 + ar_4 + 1 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_0 + ar_4 + 2 >= 0 /\ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 6*ar_1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoo1(ar_0, ar_1, ar_2, ar_3, ar_0 - ar_2, ar_5, ar_6)) [ -ar_2 + 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_2 >= 3 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: 2, Cost: 1)         evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoocritedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_0 ]
2.71/1.86	
2.71/1.86			(Comp: 6*ar_1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= ar_2 + 1 /\ ar_2 >= 1 /\ 2 >= ar_2 ]
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)         evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86			(Comp: 1, Cost: 1)         evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
2.71/1.86	
2.71/1.86		start location:	koat_start
2.71/1.86	
2.71/1.86		leaf cost:	0
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	Complexity upper bound 36*ar_1 + 10
2.71/1.86	
2.71/1.86	
2.71/1.86	
2.71/1.86	Time: 0.611 sec (SMT: 0.459 sec)
2.71/1.86	
2.71/1.86	
2.71/1.86	----------------------------------------
2.71/1.86	
2.71/1.86	(2)
2.71/1.86	BOUNDS(1, n^1)
2.78/1.88	EOF