2.16/1.66	WORST_CASE(?, O(n^2))
2.57/1.67	proof of /export/starexec/sandbox2/output/output_files/bench.koat
2.57/1.67	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.57/1.67	
2.57/1.67	
2.57/1.67	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
2.57/1.67	
2.57/1.67	(0) CpxIntTrs
2.57/1.67	(1) Koat Proof [FINISHED, 377 ms]
2.57/1.67	(2) BOUNDS(1, n^2)
2.57/1.67	
2.57/1.67	
2.57/1.67	----------------------------------------
2.57/1.67	
2.57/1.67	(0)
2.57/1.67	Obligation:
2.57/1.67	Complexity Int TRS consisting of the following rules:
2.57/1.67	eval_sipmabubble_start(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb0_in(v_i.0, v_j.0, v_n)) :|: TRUE
2.57/1.67	eval_sipmabubble_bb0_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb1_in(v_n, v_j.0, v_n)) :|: TRUE
2.57/1.67	eval_sipmabubble_bb1_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb2_in(v_i.0, 0, v_n)) :|: v_i.0 >= 0
2.57/1.67	eval_sipmabubble_bb1_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb5_in(v_i.0, v_j.0, v_n)) :|: v_i.0 < 0
2.57/1.67	eval_sipmabubble_bb2_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb3_in(v_i.0, v_j.0, v_n)) :|: v_j.0 <= v_i.0 - 1
2.57/1.67	eval_sipmabubble_bb2_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb4_in(v_i.0, v_j.0, v_n)) :|: v_j.0 > v_i.0 - 1
2.57/1.67	eval_sipmabubble_bb3_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_2(v_i.0, v_j.0, v_n)) :|: TRUE
2.57/1.67	eval_sipmabubble_2(v_i.0, v_j.0, v_n) -> Com_2(eval_nondet_start(v_i.0, v_j.0, v_n), eval_sipmabubble_3(v_i.0, v_j.0, v_n)) :|: TRUE
2.57/1.67	eval_sipmabubble_3(v_i.0, v_j.0, v_n) -> Com_2(eval_nondet_start(v_i.0, v_j.0, v_n), eval_sipmabubble_4(v_i.0, v_j.0, v_n)) :|: TRUE
2.57/1.67	eval_sipmabubble_4(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb2_in(v_i.0, v_j.0 + 1, v_n)) :|: TRUE
2.57/1.67	eval_sipmabubble_bb4_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_bb1_in(v_i.0 - 1, v_j.0, v_n)) :|: TRUE
2.57/1.67	eval_sipmabubble_bb5_in(v_i.0, v_j.0, v_n) -> Com_1(eval_sipmabubble_stop(v_i.0, v_j.0, v_n)) :|: TRUE
2.57/1.67	
2.57/1.67	The start-symbols are:[eval_sipmabubble_start_3]
2.57/1.67	
2.57/1.67	
2.57/1.67	----------------------------------------
2.57/1.67	
2.57/1.67	(1) Koat Proof (FINISHED)
2.57/1.67	YES(?, 84*ar_1 + 75*ar_1^2 + 15)
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	Initial complexity problem:
2.57/1.67	
2.57/1.67	1:	T:
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_2 >= ar_0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
2.57/1.67	
2.57/1.67		start location:	koat_start
2.57/1.67	
2.57/1.67		leaf cost:	0
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.57/1.67	
2.57/1.67	2:	T:
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)    evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)    evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_2 >= ar_0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
2.57/1.67	
2.57/1.67		start location:	koat_start
2.57/1.67	
2.57/1.67		leaf cost:	0
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	A polynomial rank function with
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblestart) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb0in) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb1in) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb2in) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb5in) = 1
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb3in) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb4in) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble2) = 2
2.57/1.67	
2.57/1.67		Pol(evalnondetstart) = 0
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble3) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble4) = 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblestop) = 0
2.57/1.67	
2.57/1.67		Pol(koat_start) = 2
2.57/1.67	
2.57/1.67	orients all transitions weakly and the transitions
2.57/1.67	
2.57/1.67		evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67		evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 + 1 ]
2.57/1.67	
2.57/1.67	strictly and produces the following problem:
2.57/1.67	
2.57/1.67	3:	T:
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)    evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)    evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ 0 >= ar_0 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_2 >= ar_0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1))
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)    evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
2.57/1.67	
2.57/1.67		start location:	koat_start
2.57/1.67	
2.57/1.67		leaf cost:	0
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubble2: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubble3: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubble4: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubblebb1in: -X_1 + X_2 >= 0
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubblebb2in: X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubblebb3in: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubblebb4in: X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
2.57/1.67	
2.57/1.67	  For symbol evalsipmabubblebb5in: -X_1 + X_2 >= 0 /\ -X_1 - 1 >= 0
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	This yielded the following problem:
2.57/1.67	
2.57/1.67	4:	T:
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)    evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)    evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)    evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67		start location:	koat_start
2.57/1.67	
2.57/1.67		leaf cost:	0
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	A polynomial rank function with
2.57/1.67	
2.57/1.67		Pol(koat_start) = 3*V_2 + 3
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblestart) = 3*V_2 + 3
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb5in) = 3*V_1
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblestop) = 3*V_1
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb4in) = 3*V_1 + 1
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb1in) = 3*V_1 + 3
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble4) = 3*V_1 + 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb2in) = 3*V_1 + 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble3) = 3*V_1 + 2
2.57/1.67	
2.57/1.67		Pol(evalnondetstart) = 0
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble2) = 3*V_1 + 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb3in) = 3*V_1 + 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb0in) = 3*V_2 + 3
2.57/1.67	
2.57/1.67	orients all transitions weakly and the transitions
2.57/1.67	
2.57/1.67		evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67		evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 ]
2.57/1.67	
2.57/1.67		evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67	strictly and produces the following problem:
2.57/1.67	
2.57/1.67	5:	T:
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)             evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 3*ar_1 + 3, Cost: 1)    evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)             evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)             evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)             evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)             evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 3*ar_1 + 3, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 ]
2.57/1.67	
2.57/1.67			(Comp: ?, Cost: 1)             evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)             evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: 3*ar_1 + 3, Cost: 1)    evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)             evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)             evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67		start location:	koat_start
2.57/1.67	
2.57/1.67		leaf cost:	0
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	A polynomial rank function with
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb3in) = 5*V_2 - 5*V_3 - 1
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble2) = 5*V_2 - 5*V_3 - 2
2.57/1.67	
2.57/1.67		Pol(evalsipmabubblebb2in) = 5*V_2 - 5*V_3
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble4) = 5*V_2 - 5*V_3 - 4
2.57/1.67	
2.57/1.67		Pol(evalsipmabubble3) = 5*V_2 - 5*V_3 - 3
2.57/1.67	
2.57/1.67		Pol(evalnondetstart) = 0
2.57/1.67	
2.57/1.67	and size complexities
2.57/1.67	
2.57/1.67		S("evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))", 0-0) = ar_0
2.57/1.67	
2.57/1.67		S("evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))", 0-2) = ar_2
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))", 0-0) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))", 0-2) = ar_2
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 0
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_0 + 1 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_0 + 1 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\\ 0 >= ar_0 + 1 ]", 0-2) = ar_1 + ar_2 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= ar_0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= ar_0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= ar_0 ]", 0-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 1-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\\ ar_0 - ar_2 - 1 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ -ar_0 + ar_2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\\ -ar_0 - 1 >= 0 ]", 0-0) = ar_1 + 1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\\ -ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\\ -ar_0 - 1 >= 0 ]", 0-2) = ar_1 + ar_2 + 1
2.57/1.67	
2.57/1.67		S("koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]", 0-0) = ar_0
2.57/1.67	
2.57/1.67		S("koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]", 0-1) = ar_1
2.57/1.67	
2.57/1.67		S("koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]", 0-2) = ar_2
2.57/1.67	
2.57/1.67	orients the transitions
2.57/1.67	
2.57/1.67		evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67		evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67		evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67		evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67		evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67	weakly and the transitions
2.57/1.67	
2.57/1.67		evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67		evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67		evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67		evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67		evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67	strictly and produces the following problem:
2.57/1.67	
2.57/1.67	6:	T:
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 0)                      koat_start(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestart(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)                      evalsipmabubblebb5in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblestop(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 3*ar_1 + 3, Cost: 1)             evalsipmabubblebb4in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_0 - 1, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 15*ar_1^2 + 15*ar_1, Cost: 1)    evalsipmabubble4(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, ar_2 + 1)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 15*ar_1^2 + 15*ar_1, Cost: 1)    evalsipmabubble3(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble4(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 15*ar_1^2 + 15*ar_1, Cost: 1)    evalsipmabubble2(ar_0, ar_1, ar_2) -> Com_2(evalnondetstart(ar_0, ar_1, ar_2), evalsipmabubble3(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 15*ar_1^2 + 15*ar_1, Cost: 1)    evalsipmabubblebb3in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubble2(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 3*ar_1 + 3, Cost: 1)             evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb4in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_0 ]
2.57/1.67	
2.57/1.67			(Comp: 15*ar_1^2 + 15*ar_1, Cost: 1)    evalsipmabubblebb2in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb3in(ar_0, ar_1, ar_2)) [ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_2 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: 2, Cost: 1)                      evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb5in(ar_0, ar_1, ar_2)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 + 1 ]
2.57/1.67	
2.57/1.67			(Comp: 3*ar_1 + 3, Cost: 1)             evalsipmabubblebb1in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb2in(ar_0, ar_1, 0)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)                      evalsipmabubblebb0in(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb1in(ar_1, ar_1, ar_2))
2.57/1.67	
2.57/1.67			(Comp: 1, Cost: 1)                      evalsipmabubblestart(ar_0, ar_1, ar_2) -> Com_1(evalsipmabubblebb0in(ar_0, ar_1, ar_2))
2.57/1.67	
2.57/1.67		start location:	koat_start
2.57/1.67	
2.57/1.67		leaf cost:	0
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	Complexity upper bound 84*ar_1 + 75*ar_1^2 + 15
2.57/1.67	
2.57/1.67	
2.57/1.67	
2.57/1.67	Time: 0.373 sec (SMT: 0.299 sec)
2.57/1.67	
2.57/1.67	
2.57/1.67	----------------------------------------
2.57/1.67	
2.57/1.67	(2)
2.57/1.67	BOUNDS(1, n^2)
2.61/1.69	EOF