7.06/3.13	WORST_CASE(Omega(n^2), O(n^2))
7.06/3.14	proof of /export/starexec/sandbox2/benchmark/theBenchmark.koat
7.06/3.14	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.06/3.14	
7.06/3.14	
7.06/3.14	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^2, n^2).
7.06/3.14	
7.06/3.14	(0) CpxIntTrs
7.06/3.14	(1) Koat Proof [FINISHED, 408 ms]
7.06/3.14	(2) BOUNDS(1, n^2)
7.06/3.14	(3) Loat Proof [FINISHED, 1412 ms]
7.06/3.14	(4) BOUNDS(n^2, INF)
7.06/3.14	
7.06/3.14	
7.06/3.14	----------------------------------------
7.06/3.14	
7.06/3.14	(0)
7.06/3.14	Obligation:
7.06/3.14	Complexity Int TRS consisting of the following rules:
7.06/3.14	eval_terminatorbubble_start(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb0_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	eval_terminatorbubble_bb0_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_0(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	eval_terminatorbubble_0(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_1(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	eval_terminatorbubble_1(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_2(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	eval_terminatorbubble_2(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_3(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	eval_terminatorbubble_3(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb1_in(v_11, v_size, v_j_0, v_size, v_t_0)) :|: v_size > 0
7.06/3.14	eval_terminatorbubble_3(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_size <= 0
7.06/3.14	eval_terminatorbubble_bb1_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_b_0 < 1
7.06/3.14	eval_terminatorbubble_bb1_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_size <= 0
7.06/3.14	eval_terminatorbubble_bb1_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b_0, 1, v_size, 0)) :|: v_b_0 >= 1 && v_size > 0
7.06/3.14	eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 <= v_b_0 - 1
7.06/3.14	eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 > v_b_0 - 1
7.06/3.14	eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 < 1
7.06/3.14	eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 > v_size
7.06/3.14	eval_terminatorbubble_bb3_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 >= 1 && v_j_0 <= v_size
7.06/3.14	eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 + 1 < 1
7.06/3.14	eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 + 1 > v_size
7.06/3.14	eval_terminatorbubble_bb4_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb5_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_j_0 + 1 >= 1 && v_j_0 + 1 <= v_size
7.06/3.14	eval_terminatorbubble_bb5_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_9(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	eval_terminatorbubble_9(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_10(nondef_0, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	eval_terminatorbubble_10(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0 + 1, v_size, v_j_0)) :|: v_11 > 0
7.06/3.14	eval_terminatorbubble_10(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb2_in(v_11, v_b_0, v_j_0 + 1, v_size, v_t_0)) :|: v_11 <= 0
7.06/3.14	eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: 1 > v_t_0
7.06/3.14	eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: v_t_0 >= v_b_0
7.06/3.14	eval_terminatorbubble_bb6_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_bb1_in(v_11, v_t_0, v_j_0, v_size, v_t_0)) :|: 1 <= v_t_0 && v_t_0 < v_b_0
7.06/3.14	eval_terminatorbubble_bb7_in(v_11, v_b_0, v_j_0, v_size, v_t_0) -> Com_1(eval_terminatorbubble_stop(v_11, v_b_0, v_j_0, v_size, v_t_0)) :|: TRUE
7.06/3.14	
7.06/3.14	The start-symbols are:[eval_terminatorbubble_start_5]
7.06/3.14	
7.06/3.14	
7.06/3.14	----------------------------------------
7.06/3.14	
7.06/3.14	(1) Koat Proof (FINISHED)
7.06/3.14	YES(?, 32*ar_0^2 + 72*ar_0 + 21)
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Initial complexity problem:
7.06/3.14	
7.06/3.14	1:	T:
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Testing for reachability in the complexity graph removes the following transitions from problem 1:
7.06/3.14	
7.06/3.14		evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14	We thus obtain the following problem:
7.06/3.14	
7.06/3.14	2:	T:
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Repeatedly propagating knowledge in problem 2 produces the following problem:
7.06/3.14	
7.06/3.14	3:	T:
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	A polynomial rank function with
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble10) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb2in) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble9) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb5in) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb1in) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb7in) = 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb4in) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb6in) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb3in) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblestop) = 0
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble3) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble2) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble1) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble0) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb0in) = 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblestart) = 2
7.06/3.14	
7.06/3.14		Pol(koat_start) = 2
7.06/3.14	
7.06/3.14	orients all transitions weakly and the transitions
7.06/3.14	
7.06/3.14		evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14		evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14	strictly and produces the following problem:
7.06/3.14	
7.06/3.14	4:	T:
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)    evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)    evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	A polynomial rank function with
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb6in) = 2*V_2 - 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb1in) = 2*V_2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb5in) = 2*V_2 - 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble9) = 2*V_2 - 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb4in) = 2*V_2 - 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb3in) = 2*V_2 - 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb2in) = 2*V_2 - 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble10) = 2*V_2 - 1
7.06/3.14	
7.06/3.14	and size complexities
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-1) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-2) = 1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-3) = 0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-4) = ?
7.06/3.14	
7.06/3.14	orients the transitions
7.06/3.14	
7.06/3.14		evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14		evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14		evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14		evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14	weakly and the transitions
7.06/3.14	
7.06/3.14		evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14	strictly and produces the following problem:
7.06/3.14	
7.06/3.14	5:	T:
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	A polynomial rank function with
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb5in) = 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble9) = 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb4in) = 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb3in) = 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb2in) = 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb6in) = 0
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble10) = 1
7.06/3.14	
7.06/3.14	and size complexities
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-1) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-2) = 1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-3) = 0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-4) = ?
7.06/3.14	
7.06/3.14	orients the transitions
7.06/3.14	
7.06/3.14		evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14		evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14		evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14		evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14	weakly and the transition
7.06/3.14	
7.06/3.14		evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14	strictly and produces the following problem:
7.06/3.14	
7.06/3.14	6:	T:
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)         evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)         evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)         evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	A polynomial rank function with
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb5in) = 2*V_1 - 2*V_3
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble9) = 2*V_1 - 2*V_3
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb4in) = 2*V_1 - 2*V_3 + 1
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb3in) = 2*V_1 - 2*V_3 + 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubblebb2in) = 2*V_1 - 2*V_3 + 2
7.06/3.14	
7.06/3.14		Pol(evalterminatorbubble10) = 2*V_1 - 2*V_3
7.06/3.14	
7.06/3.14	and size complexities
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-1) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-1) = ar_1
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-2) = ar_2
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-3) = ar_3
7.06/3.14	
7.06/3.14		S("evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-4) = ar_4
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-2) = 1
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-3) = 0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\\ ar_0 >= 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\\ ar_0 >= ar_2 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\\ ar_1 >= ar_3 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\\ ar_0 >= ar_2 + 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]", 0-4) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-0) = ar_0
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-1) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-2) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-3) = ?
7.06/3.14	
7.06/3.14		S("evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]", 0-4) = ?
7.06/3.14	
7.06/3.14	orients the transitions
7.06/3.14	
7.06/3.14		evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14		evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14		evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14		evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14	weakly and the transitions
7.06/3.14	
7.06/3.14		evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14		evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14	strictly and produces the following problem:
7.06/3.14	
7.06/3.14	7:	T:
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)                    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)                    evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)                    evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)                    evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                    evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                    evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)               evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                    evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                    evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)               evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: ?, Cost: 1)                    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                    evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)               evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                    evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                    evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                    evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                    evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                    evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                    evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)                    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Repeatedly propagating knowledge in problem 7 produces the following problem:
7.06/3.14	
7.06/3.14	8:	T:
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)     evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ 0 >= ar_4 ]
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)     evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, ar_2 + 1, ar_2, ar_4)) [ ar_4 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)     evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble10(ar_0, ar_1, ar_2, ar_3, f))
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)     evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble9(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                     evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)     evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                     evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)                evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_3 >= 1 /\ ar_1 >= ar_3 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                     evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                     evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
7.06/3.14	
7.06/3.14			(Comp: 4*ar_0^2 + 8*ar_0, Cost: 1)     evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 /\ ar_0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                     evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_0 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                     evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)                evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
7.06/3.14	
7.06/3.14			(Comp: 8*ar_0^2 + 18*ar_0, Cost: 1)    evalterminatorbubblebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
7.06/3.14	
7.06/3.14			(Comp: 2, Cost: 1)                     evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestop(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 2*ar_0, Cost: 1)                evalterminatorbubblebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb2in(ar_0, ar_1, 1, 0, ar_4)) [ ar_1 >= 1 /\ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                     evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb7in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                     evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb1in(ar_0, ar_0, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                     evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble3(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                     evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble2(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                     evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble1(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                     evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubble0(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 1)                     evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
7.06/3.14	
7.06/3.14			(Comp: 1, Cost: 0)                     koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalterminatorbubblestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
7.06/3.14	
7.06/3.14		start location:	koat_start
7.06/3.14	
7.06/3.14		leaf cost:	0
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Complexity upper bound 32*ar_0^2 + 72*ar_0 + 21
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Time: 0.381 sec (SMT: 0.248 sec)
7.06/3.14	
7.06/3.14	
7.06/3.14	----------------------------------------
7.06/3.14	
7.06/3.14	(2)
7.06/3.14	BOUNDS(1, n^2)
7.06/3.14	
7.06/3.14	----------------------------------------
7.06/3.14	
7.06/3.14	(3) Loat Proof (FINISHED)
7.06/3.14	
7.06/3.14	
7.06/3.14	### Pre-processing the ITS problem ###
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Initial linear ITS problem
7.06/3.14	
7.06/3.14	   Start location: evalterminatorbubblestart
7.06/3.14	
7.06/3.14	      0: evalterminatorbubblestart -> evalterminatorbubblebb0in : [], cost: 1
7.06/3.14	
7.06/3.14	      1: evalterminatorbubblebb0in -> evalterminatorbubble0 : [], cost: 1
7.06/3.14	
7.06/3.14	      2: evalterminatorbubble0 -> evalterminatorbubble1 : [], cost: 1
7.06/3.14	
7.06/3.14	      3: evalterminatorbubble1 -> evalterminatorbubble2 : [], cost: 1
7.06/3.14	
7.06/3.14	      4: evalterminatorbubble2 -> evalterminatorbubble3 : [], cost: 1
7.06/3.14	
7.06/3.14	      5: evalterminatorbubble3 -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 1
7.06/3.14	
7.06/3.14	      6: evalterminatorbubble3 -> evalterminatorbubblebb7in : [ 0>=A ], cost: 1
7.06/3.14	
7.06/3.14	      7: evalterminatorbubblebb1in -> evalterminatorbubblebb7in : [ 0>=B ], cost: 1
7.06/3.14	
7.06/3.14	      8: evalterminatorbubblebb1in -> evalterminatorbubblebb7in : [ 0>=A ], cost: 1
7.06/3.14	
7.06/3.14	      9: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=1, D'=0, [ B>=1 && A>=1 ], cost: 1
7.06/3.14	
7.06/3.14	     10: evalterminatorbubblebb2in -> evalterminatorbubblebb3in : [ B>=1+C ], cost: 1
7.06/3.14	
7.06/3.14	     11: evalterminatorbubblebb2in -> evalterminatorbubblebb6in : [ C>=B ], cost: 1
7.06/3.14	
7.06/3.14	     12: evalterminatorbubblebb3in -> evalterminatorbubblebb7in : [ 0>=C ], cost: 1
7.06/3.14	
7.06/3.14	     13: evalterminatorbubblebb3in -> evalterminatorbubblebb7in : [ C>=1+A ], cost: 1
7.06/3.14	
7.06/3.14	     14: evalterminatorbubblebb3in -> evalterminatorbubblebb4in : [ C>=1 && A>=C ], cost: 1
7.06/3.14	
7.06/3.14	     15: evalterminatorbubblebb4in -> evalterminatorbubblebb7in : [ 0>=1+C ], cost: 1
7.06/3.14	
7.06/3.14	     16: evalterminatorbubblebb4in -> evalterminatorbubblebb7in : [ C>=A ], cost: 1
7.06/3.14	
7.06/3.14	     17: evalterminatorbubblebb4in -> evalterminatorbubblebb5in : [ C>=0 && A>=1+C ], cost: 1
7.06/3.14	
7.06/3.14	     18: evalterminatorbubblebb5in -> evalterminatorbubble9 : [], cost: 1
7.06/3.14	
7.06/3.14	     19: evalterminatorbubble9 -> evalterminatorbubble10 : E'=free, [], cost: 1
7.06/3.14	
7.06/3.14	     20: evalterminatorbubble10 -> evalterminatorbubblebb2in : C'=1+C, D'=C, [ E>=1 ], cost: 1
7.06/3.14	
7.06/3.14	     21: evalterminatorbubble10 -> evalterminatorbubblebb2in : C'=1+C, [ 0>=E ], cost: 1
7.06/3.14	
7.06/3.14	     22: evalterminatorbubblebb6in -> evalterminatorbubblebb7in : [ 0>=D ], cost: 1
7.06/3.14	
7.06/3.14	     23: evalterminatorbubblebb6in -> evalterminatorbubblebb7in : [ D>=B ], cost: 1
7.06/3.14	
7.06/3.14	     24: evalterminatorbubblebb6in -> evalterminatorbubblebb1in : B'=D, [ D>=1 && B>=1+D ], cost: 1
7.06/3.14	
7.06/3.14	     25: evalterminatorbubblebb7in -> evalterminatorbubblestop : [], cost: 1
7.06/3.14	
7.06/3.14	
7.06/3.14	
7.06/3.14	Removed unreachable and leaf rules:
7.06/3.14	
7.06/3.14	   Start location: evalterminatorbubblestart
7.06/3.14	
7.06/3.14	      0: evalterminatorbubblestart -> evalterminatorbubblebb0in : [], cost: 1
7.06/3.14	
7.06/3.14	      1: evalterminatorbubblebb0in -> evalterminatorbubble0 : [], cost: 1
7.06/3.14	
7.06/3.14	      2: evalterminatorbubble0 -> evalterminatorbubble1 : [], cost: 1
7.06/3.14	
7.06/3.14	      3: evalterminatorbubble1 -> evalterminatorbubble2 : [], cost: 1
7.06/3.14	
7.06/3.14	      4: evalterminatorbubble2 -> evalterminatorbubble3 : [], cost: 1
7.06/3.14	
7.06/3.14	      5: evalterminatorbubble3 -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 1
7.06/3.14	
7.06/3.14	      9: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=1, D'=0, [ B>=1 && A>=1 ], cost: 1
7.06/3.14	
7.06/3.14	     10: evalterminatorbubblebb2in -> evalterminatorbubblebb3in : [ B>=1+C ], cost: 1
7.06/3.14	
7.06/3.14	     11: evalterminatorbubblebb2in -> evalterminatorbubblebb6in : [ C>=B ], cost: 1
7.06/3.14	
7.06/3.14	     14: evalterminatorbubblebb3in -> evalterminatorbubblebb4in : [ C>=1 && A>=C ], cost: 1
7.06/3.14	
7.06/3.14	     17: evalterminatorbubblebb4in -> evalterminatorbubblebb5in : [ C>=0 && A>=1+C ], cost: 1
7.06/3.15	
7.06/3.15	     18: evalterminatorbubblebb5in -> evalterminatorbubble9 : [], cost: 1
7.06/3.15	
7.06/3.15	     19: evalterminatorbubble9 -> evalterminatorbubble10 : E'=free, [], cost: 1
7.06/3.15	
7.06/3.15	     20: evalterminatorbubble10 -> evalterminatorbubblebb2in : C'=1+C, D'=C, [ E>=1 ], cost: 1
7.06/3.15	
7.06/3.15	     21: evalterminatorbubble10 -> evalterminatorbubblebb2in : C'=1+C, [ 0>=E ], cost: 1
7.06/3.15	
7.06/3.15	     24: evalterminatorbubblebb6in -> evalterminatorbubblebb1in : B'=D, [ D>=1 && B>=1+D ], cost: 1
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	### Simplification by acceleration and chaining ###
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Eliminated locations (on linear paths):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     30: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 6
7.06/3.15	
7.06/3.15	      9: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=1, D'=0, [ B>=1 && A>=1 ], cost: 1
7.06/3.15	
7.06/3.15	     32: evalterminatorbubblebb2in -> evalterminatorbubblebb1in : B'=D, [ C>=B && D>=1 && B>=1+D ], cost: 2
7.06/3.15	
7.06/3.15	     35: evalterminatorbubblebb2in -> evalterminatorbubble10 : E'=free, [ B>=1+C && C>=1 && A>=1+C ], cost: 5
7.06/3.15	
7.06/3.15	     20: evalterminatorbubble10 -> evalterminatorbubblebb2in : C'=1+C, D'=C, [ E>=1 ], cost: 1
7.06/3.15	
7.06/3.15	     21: evalterminatorbubble10 -> evalterminatorbubblebb2in : C'=1+C, [ 0>=E ], cost: 1
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Eliminated locations (on tree-shaped paths):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     30: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 6
7.06/3.15	
7.06/3.15	      9: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=1, D'=0, [ B>=1 && A>=1 ], cost: 1
7.06/3.15	
7.06/3.15	     32: evalterminatorbubblebb2in -> evalterminatorbubblebb1in : B'=D, [ C>=B && D>=1 && B>=1+D ], cost: 2
7.06/3.15	
7.06/3.15	     36: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=1+C, D'=C, E'=free, [ B>=1+C && C>=1 && A>=1+C && free>=1 ], cost: 6
7.06/3.15	
7.06/3.15	     37: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=1+C, E'=free, [ B>=1+C && C>=1 && A>=1+C && 0>=free ], cost: 6
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Accelerating simple loops of location 7.
7.06/3.15	
7.06/3.15	   Accelerating the following rules:
7.06/3.15	
7.06/3.15	     36: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=1+C, D'=C, E'=free, [ B>=1+C && C>=1 && A>=1+C && free>=1 ], cost: 6
7.06/3.15	
7.06/3.15	     37: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=1+C, E'=free, [ B>=1+C && C>=1 && A>=1+C && 0>=free ], cost: 6
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	   Accelerated rule 36 with backward acceleration, yielding the new rule 38.
7.06/3.15	
7.06/3.15	   Accelerated rule 36 with backward acceleration, yielding the new rule 39.
7.06/3.15	
7.06/3.15	   Accelerated rule 37 with backward acceleration, yielding the new rule 40.
7.06/3.15	
7.06/3.15	   Accelerated rule 37 with backward acceleration, yielding the new rule 41.
7.06/3.15	
7.06/3.15	   Removing the simple loops: 36 37.
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Accelerated all simple loops using metering functions (where possible):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     30: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 6
7.06/3.15	
7.06/3.15	      9: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=1, D'=0, [ B>=1 && A>=1 ], cost: 1
7.06/3.15	
7.06/3.15	     32: evalterminatorbubblebb2in -> evalterminatorbubblebb1in : B'=D, [ C>=B && D>=1 && B>=1+D ], cost: 2
7.06/3.15	
7.06/3.15	     38: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=B, D'=-1+B, E'=free, [ B>=1+C && C>=1 && A>=1+C && free>=1 && -1+B>=1 && A>=B ], cost: -6*C+6*B
7.06/3.15	
7.06/3.15	     39: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=A, D'=-1+A, E'=free, [ B>=1+C && C>=1 && A>=1+C && free>=1 && B>=A && -1+A>=1 ], cost: -6*C+6*A
7.06/3.15	
7.06/3.15	     40: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=B, E'=free, [ B>=1+C && C>=1 && A>=1+C && 0>=free && -1+B>=1 && A>=B ], cost: -6*C+6*B
7.06/3.15	
7.06/3.15	     41: evalterminatorbubblebb2in -> evalterminatorbubblebb2in : C'=A, E'=free, [ B>=1+C && C>=1 && A>=1+C && 0>=free && B>=A && -1+A>=1 ], cost: -6*C+6*A
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Chained accelerated rules (with incoming rules):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     30: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 6
7.06/3.15	
7.06/3.15	      9: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=1, D'=0, [ B>=1 && A>=1 ], cost: 1
7.06/3.15	
7.06/3.15	     42: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=B, D'=-1+B, E'=free, [ B>=2 && A>=2 && free>=1 && A>=B ], cost: -5+6*B
7.06/3.15	
7.06/3.15	     43: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=A, D'=-1+A, E'=free, [ B>=2 && A>=2 && free>=1 && B>=A ], cost: -5+6*A
7.06/3.15	
7.06/3.15	     44: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=B, D'=0, E'=free, [ B>=2 && A>=2 && 0>=free && A>=B ], cost: -5+6*B
7.06/3.15	
7.06/3.15	     45: evalterminatorbubblebb1in -> evalterminatorbubblebb2in : C'=A, D'=0, E'=free, [ B>=2 && A>=2 && 0>=free && B>=A ], cost: -5+6*A
7.06/3.15	
7.06/3.15	     32: evalterminatorbubblebb2in -> evalterminatorbubblebb1in : B'=D, [ C>=B && D>=1 && B>=1+D ], cost: 2
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Eliminated locations (on tree-shaped paths):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     30: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 6
7.06/3.15	
7.06/3.15	     46: evalterminatorbubblebb1in -> evalterminatorbubblebb1in : B'=-1+B, C'=B, D'=-1+B, E'=free, [ B>=2 && A>=2 && free>=1 && A>=B ], cost: -3+6*B
7.06/3.15	
7.06/3.15	     47: evalterminatorbubblebb1in -> evalterminatorbubblebb1in : B'=-1+A, C'=A, D'=-1+A, E'=free, [ B>=2 && A>=2 && free>=1 && B>=A && A>=B ], cost: -3+6*A
7.06/3.15	
7.06/3.15	     48: evalterminatorbubblebb1in -> [17] : [ B>=2 && A>=2 && 0>=free && A>=B ], cost: -5+6*B
7.06/3.15	
7.06/3.15	     49: evalterminatorbubblebb1in -> [17] : [ B>=2 && A>=2 && 0>=free && B>=A ], cost: -5+6*A
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Accelerating simple loops of location 6.
7.06/3.15	
7.06/3.15	   Simplified some of the simple loops (and removed duplicate rules).
7.06/3.15	
7.06/3.15	   Accelerating the following rules:
7.06/3.15	
7.06/3.15	     46: evalterminatorbubblebb1in -> evalterminatorbubblebb1in : B'=-1+B, C'=B, D'=-1+B, E'=free, [ B>=2 && A>=2 && free>=1 && A>=B ], cost: -3+6*B
7.06/3.15	
7.06/3.15	     47: evalterminatorbubblebb1in -> evalterminatorbubblebb1in : B'=-1+A, C'=A, D'=-1+A, E'=free, [ B>=2 && A>=2 && free>=1 && A-B==0 ], cost: -3+6*A
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	   Accelerated rule 46 with metering function -1+B, yielding the new rule 50.
7.06/3.15	
7.06/3.15	   Accelerated rule 47 with metering function 1-A+B, yielding the new rule 51.
7.06/3.15	
7.06/3.15	   Removing the simple loops: 46 47.
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Accelerated all simple loops using metering functions (where possible):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     30: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 6
7.06/3.15	
7.06/3.15	     48: evalterminatorbubblebb1in -> [17] : [ B>=2 && A>=2 && 0>=free && A>=B ], cost: -5+6*B
7.06/3.15	
7.06/3.15	     49: evalterminatorbubblebb1in -> [17] : [ B>=2 && A>=2 && 0>=free && B>=A ], cost: -5+6*A
7.06/3.15	
7.06/3.15	     50: evalterminatorbubblebb1in -> evalterminatorbubblebb1in : B'=1, C'=2, D'=1, E'=free, [ B>=2 && A>=2 && free>=1 && A>=B ], cost: 6*(-1+B)*B-3*(-1+B)^2
7.06/3.15	
7.06/3.15	     51: evalterminatorbubblebb1in -> evalterminatorbubblebb1in : B'=-1+A, C'=A, D'=-1+A, E'=free, [ B>=2 && A>=2 && free>=1 && A-B==0 ], cost: -3-6*(-1+A-B)*A+3*A-3*B
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Chained accelerated rules (with incoming rules):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     30: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=A, [ A>=1 ], cost: 6
7.06/3.15	
7.06/3.15	     52: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=1, C'=2, D'=1, E'=free, [ A>=2 && free>=1 ], cost: 6+6*(-1+A)*A-3*(-1+A)^2
7.06/3.15	
7.06/3.15	     53: evalterminatorbubblestart -> evalterminatorbubblebb1in : B'=-1+A, C'=A, D'=-1+A, E'=free, [ A>=2 && free>=1 ], cost: 3+6*A
7.06/3.15	
7.06/3.15	     48: evalterminatorbubblebb1in -> [17] : [ B>=2 && A>=2 && 0>=free && A>=B ], cost: -5+6*B
7.06/3.15	
7.06/3.15	     49: evalterminatorbubblebb1in -> [17] : [ B>=2 && A>=2 && 0>=free && B>=A ], cost: -5+6*A
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Eliminated locations (on tree-shaped paths):
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     54: evalterminatorbubblestart -> [17] : B'=A, [ A>=2 && 0>=free ], cost: 1+6*A
7.06/3.15	
7.06/3.15	     55: evalterminatorbubblestart -> [17] : B'=A, [ A>=2 && 0>=free ], cost: 1+6*A
7.06/3.15	
7.06/3.15	     56: evalterminatorbubblestart -> [19] : [ A>=2 && free>=1 ], cost: 6+6*(-1+A)*A-3*(-1+A)^2
7.06/3.15	
7.06/3.15	     57: evalterminatorbubblestart -> [19] : [ A>=2 && free>=1 ], cost: 3+6*A
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	### Computing asymptotic complexity ###
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Fully simplified ITS problem
7.06/3.15	
7.06/3.15	   Start location: evalterminatorbubblestart
7.06/3.15	
7.06/3.15	     55: evalterminatorbubblestart -> [17] : B'=A, [ A>=2 && 0>=free ], cost: 1+6*A
7.06/3.15	
7.06/3.15	     56: evalterminatorbubblestart -> [19] : [ A>=2 && free>=1 ], cost: 6+6*(-1+A)*A-3*(-1+A)^2
7.06/3.15	
7.06/3.15	     57: evalterminatorbubblestart -> [19] : [ A>=2 && free>=1 ], cost: 3+6*A
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Computing asymptotic complexity for rule 55
7.06/3.15	
7.06/3.15	   Solved the limit problem by the following transformations:
7.06/3.15	
7.06/3.15	      Created initial limit problem:
7.06/3.15	
7.06/3.15	      -1+A (+/+!), 1-free (+/+!), 1+6*A (+) [not solved]
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	      removing all constraints (solved by SMT)
7.06/3.15	
7.06/3.15	      resulting limit problem: [solved]
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	      applying transformation rule (C) using substitution {free==0,A==n}
7.06/3.15	
7.06/3.15	      resulting limit problem:
7.06/3.15	
7.06/3.15	      [solved]
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	   Solution:
7.06/3.15	
7.06/3.15	      free / 0
7.06/3.15	
7.06/3.15	      A / n
7.06/3.15	
7.06/3.15	   Resulting cost 1+6*n has complexity: Poly(n^1)
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Found new complexity Poly(n^1).
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Computing asymptotic complexity for rule 56
7.06/3.15	
7.06/3.15	   Solved the limit problem by the following transformations:
7.06/3.15	
7.06/3.15	      Created initial limit problem:
7.06/3.15	
7.06/3.15	      3+3*A^2 (+), -1+A (+/+!), free (+/+!) [not solved]
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	      removing all constraints (solved by SMT)
7.06/3.15	
7.06/3.15	      resulting limit problem: [solved]
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	      applying transformation rule (C) using substitution {free==n,A==n}
7.06/3.15	
7.06/3.15	      resulting limit problem:
7.06/3.15	
7.06/3.15	      [solved]
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	   Solution:
7.06/3.15	
7.06/3.15	      free / n
7.06/3.15	
7.06/3.15	      A / n
7.06/3.15	
7.06/3.15	   Resulting cost 3+3*n^2 has complexity: Poly(n^2)
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Found new complexity Poly(n^2).
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	Obtained the following overall complexity (w.r.t. the length of the input n):
7.06/3.15	
7.06/3.15	   Complexity:  Poly(n^2)
7.06/3.15	
7.06/3.15	   Cpx degree:  2
7.06/3.15	
7.06/3.15	   Solved cost: 3+3*n^2
7.06/3.15	
7.06/3.15	   Rule cost:   6+6*(-1+A)*A-3*(-1+A)^2
7.06/3.15	
7.06/3.15	   Rule guard:  [ A>=2 && free>=1 ]
7.06/3.15	
7.06/3.15	
7.06/3.15	
7.06/3.15	WORST_CASE(Omega(n^2),?)
7.06/3.15	
7.06/3.15	
7.06/3.15	----------------------------------------
7.06/3.15	
7.06/3.15	(4)
7.06/3.15	BOUNDS(n^2, INF)
7.29/3.18	EOF