6.93/3.85	WORST_CASE(Omega(n^1), O(n^2))
6.93/3.86	proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
6.93/3.86	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
6.93/3.86	
6.93/3.86	
6.93/3.86	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^2).
6.93/3.86	
6.93/3.86	(0) CpxIntTrs
6.93/3.86	(1) Koat Proof [FINISHED, 616 ms]
6.93/3.86	(2) BOUNDS(1, n^2)
6.93/3.86	(3) Loat Proof [FINISHED, 610 ms]
6.93/3.86	(4) BOUNDS(n^1, INF)
6.93/3.86	
6.93/3.86	
6.93/3.86	----------------------------------------
6.93/3.86	
6.93/3.86	(0)
6.93/3.86	Obligation:
6.93/3.86	Complexity Int TRS consisting of the following rules:
6.93/3.86	eval_start_start(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb0_in(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	eval_start_bb0_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_0(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	eval_start_0(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_1(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	eval_start_1(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_2(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	eval_start_2(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb1_in(v_x, v_3, v_x, v_y, v_z_0)) :|: v_y >= 0
6.93/3.86	eval_start_2(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb6_in(v__0, v_3, v_x, v_y, v_z_0)) :|: v_y < 0
6.93/3.86	eval_start_bb1_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb2_in(v__0, v_3, v_x, v_y, v_z_0)) :|: v__0 > v_y
6.93/3.86	eval_start_bb1_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb5_in(v__0, v_3, v_x, v_y, v_z_0)) :|: v__0 <= v_y
6.93/3.86	eval_start_bb2_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb3_in(v__0, v__0 - v_y - 1, v_x, v_y, 2 * v_y + 100)) :|: TRUE
6.93/3.86	eval_start_bb3_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb4_in(v__0, v_3, v_x, v_y, v_z_0)) :|: v_z_0 > 0
6.93/3.86	eval_start_bb3_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb1_in(v_3, v_3, v_x, v_y, v_z_0)) :|: v_z_0 <= 0
6.93/3.86	eval_start_bb4_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_bb3_in(v__0, v_3, v_x, v_y, v_z_0 - 1)) :|: TRUE
6.93/3.86	eval_start_bb5_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_stop(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	eval_start_bb6_in(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_10(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	eval_start_10(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_11(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	eval_start_11(v__0, v_3, v_x, v_y, v_z_0) -> Com_1(eval_start_stop(v__0, v_3, v_x, v_y, v_z_0)) :|: TRUE
6.93/3.86	
6.93/3.86	The start-symbols are:[eval_start_start_5]
6.93/3.86	
6.93/3.86	
6.93/3.86	----------------------------------------
6.93/3.86	
6.93/3.86	(1) Koat Proof (FINISHED)
6.93/3.86	YES(?, 24*ar_2^2 + 2377*ar_2 + 1587)
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Initial complexity problem:
6.93/3.86	
6.93/3.86	1:	T:
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
6.93/3.86	
6.93/3.86		start location:	koat_start
6.93/3.86	
6.93/3.86		leaf cost:	0
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Repeatedly propagating knowledge in problem 1 produces the following problem:
6.93/3.86	
6.93/3.86	2:	T:
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
6.93/3.86	
6.93/3.86		start location:	koat_start
6.93/3.86	
6.93/3.86		leaf cost:	0
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	A polynomial rank function with
6.93/3.86	
6.93/3.86		Pol(evalstartstart) = 2
6.93/3.86	
6.93/3.86		Pol(evalstartbb0in) = 2
6.93/3.86	
6.93/3.86		Pol(evalstart0) = 2
6.93/3.86	
6.93/3.86		Pol(evalstart1) = 2
6.93/3.86	
6.93/3.86		Pol(evalstart2) = 2
6.93/3.86	
6.93/3.86		Pol(evalstartbb1in) = 2
6.93/3.86	
6.93/3.86		Pol(evalstartbb6in) = 0
6.93/3.86	
6.93/3.86		Pol(evalstartbb2in) = 2
6.93/3.86	
6.93/3.86		Pol(evalstartbb5in) = 1
6.93/3.86	
6.93/3.86		Pol(evalstartbb3in) = 2
6.93/3.86	
6.93/3.86		Pol(evalstartbb4in) = 2
6.93/3.86	
6.93/3.86		Pol(evalstartstop) = 0
6.93/3.86	
6.93/3.86		Pol(evalstart10) = 0
6.93/3.86	
6.93/3.86		Pol(evalstart11) = 0
6.93/3.86	
6.93/3.86		Pol(koat_start) = 2
6.93/3.86	
6.93/3.86	orients all transitions weakly and the transitions
6.93/3.86	
6.93/3.86		evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86		evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
6.93/3.86	
6.93/3.86	strictly and produces the following problem:
6.93/3.86	
6.93/3.86	3:	T:
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100))
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1))
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
6.93/3.86	
6.93/3.86		start location:	koat_start
6.93/3.86	
6.93/3.86		leaf cost:	0
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Applied AI with 'oct' on problem 3 to obtain the following invariants:
6.93/3.86	
6.93/3.86	  For symbol evalstart10: -X_1 - 1 >= 0
6.93/3.86	
6.93/3.86	  For symbol evalstart11: -X_1 - 1 >= 0
6.93/3.86	
6.93/3.86	  For symbol evalstartbb1in: -X_2 + X_3 >= 0 /\ X_1 >= 0
6.93/3.86	
6.93/3.86	  For symbol evalstartbb2in: X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
6.93/3.86	
6.93/3.86	  For symbol evalstartbb3in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
6.93/3.86	
6.93/3.86	  For symbol evalstartbb4in: X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
6.93/3.86	
6.93/3.86	  For symbol evalstartbb5in: -X_2 + X_3 >= 0 /\ X_1 - X_2 >= 0 /\ X_1 >= 0
6.93/3.86	
6.93/3.86	  For symbol evalstartbb6in: -X_1 - 1 >= 0
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	This yielded the following problem:
6.93/3.86	
6.93/3.86	4:	T:
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_1 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)    evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86		start location:	koat_start
6.93/3.86	
6.93/3.86		leaf cost:	0
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	A polynomial rank function with
6.93/3.86	
6.93/3.86		Pol(evalstartbb4in) = 3*V_2
6.93/3.86	
6.93/3.86		Pol(evalstartbb3in) = 3*V_2
6.93/3.86	
6.93/3.86		Pol(evalstartbb1in) = 3*V_2 + 2
6.93/3.86	
6.93/3.86		Pol(evalstartbb2in) = 3*V_2 + 1
6.93/3.86	
6.93/3.86	and size complexities
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-3) = ar_2 + ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-4) = 2*ar_2 + 2*ar_4 + 1568
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-3) = ar_2 + ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-4) = 2*ar_2 + 2*ar_4 + 1568
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = 2*ar_2 + 196
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-4) = 2*ar_2 + 392
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-4) = 2*ar_2 + 784
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = 2*ar_2 + 392
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_2 + ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = 2*ar_2 + 2*ar_4 + 3136
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86	orients the transitions
6.93/3.86	
6.93/3.86		evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86		evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86		evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86	weakly and the transitions
6.93/3.86	
6.93/3.86		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86		evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86		evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86	strictly and produces the following problem:
6.93/3.86	
6.93/3.86	5:	T:
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)             evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)             evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 3*ar_2 + 2, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86			(Comp: ?, Cost: 1)             evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86			(Comp: 3*ar_2 + 2, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)             evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_1 ]
6.93/3.86	
6.93/3.86			(Comp: 3*ar_2 + 2, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)             evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86		start location:	koat_start
6.93/3.86	
6.93/3.86		leaf cost:	0
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	A polynomial rank function with
6.93/3.86	
6.93/3.86		Pol(evalstartbb4in) = 2*V_5 - 1
6.93/3.86	
6.93/3.86		Pol(evalstartbb3in) = 2*V_5
6.93/3.86	
6.93/3.86	and size complexities
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-3) = ar_2 + ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_1 >= ar_0 + 1 ]", 0-4) = 2*ar_2 + 2*ar_4 + 1568
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-3) = ar_2 + ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 >= 0 /\\ ar_0 >= ar_1 ]", 0-4) = 2*ar_2 + 2*ar_4 + 1568
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = 2*ar_2 + 196
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_4 >= 1 ]", 0-4) = 2*ar_2 + 392
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_4 ]", 0-4) = 2*ar_2 + 784
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\\ ar_2 + ar_4 - 2 >= 0 /\\ ar_1 + ar_4 - 2 >= 0 /\\ ar_0 + ar_4 - 1 >= 0 /\\ ar_2 - ar_3 - 1 >= 0 /\\ ar_1 - ar_3 - 1 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ -ar_1 + ar_2 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = 2*ar_2 + 392
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ar_2 + ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\\ ar_0 - ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = 2*ar_2 + 2*ar_4 + 3136
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-0) = ar_0
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-1) = ar_1
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-2) = ar_2
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-3) = ar_3
6.93/3.86	
6.93/3.86		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]", 0-4) = ar_4
6.93/3.86	
6.93/3.86	orients the transitions
6.93/3.86	
6.93/3.86		evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86	weakly and the transitions
6.93/3.86	
6.93/3.86		evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86	strictly and produces the following problem:
6.93/3.86	
6.93/3.86	6:	T:
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 0)                              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart11(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart10(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 - 1 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)                              evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 12*ar_2^2 + 1184*ar_2 + 784, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 3*ar_2 + 2, Cost: 1)                     evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_3, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_4 ]
6.93/3.86	
6.93/3.86			(Comp: 12*ar_2^2 + 1184*ar_2 + 784, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_4 >= 1 ]
6.93/3.86	
6.93/3.86			(Comp: 3*ar_2 + 2, Cost: 1)                     evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_1 - ar_0 - 1, 2*ar_0 + 100)) [ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 2, Cost: 1)                              evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_0 >= ar_1 ]
6.93/3.86	
6.93/3.86			(Comp: 3*ar_2 + 2, Cost: 1)                     evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_1 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb1in(ar_0, ar_2, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86			(Comp: 1, Cost: 1)                              evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
6.93/3.86	
6.93/3.86		start location:	koat_start
6.93/3.86	
6.93/3.86		leaf cost:	0
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Complexity upper bound 24*ar_2^2 + 2377*ar_2 + 1587
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Time: 0.581 sec (SMT: 0.443 sec)
6.93/3.86	
6.93/3.86	
6.93/3.86	----------------------------------------
6.93/3.86	
6.93/3.86	(2)
6.93/3.86	BOUNDS(1, n^2)
6.93/3.86	
6.93/3.86	----------------------------------------
6.93/3.86	
6.93/3.86	(3) Loat Proof (FINISHED)
6.93/3.86	
6.93/3.86	
6.93/3.86	### Pre-processing the ITS problem ###
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Initial linear ITS problem
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	      0: evalstartstart -> evalstartbb0in : [], cost: 1
6.93/3.86	
6.93/3.86	      1: evalstartbb0in -> evalstart0 : [], cost: 1
6.93/3.86	
6.93/3.86	      2: evalstart0 -> evalstart1 : [], cost: 1
6.93/3.86	
6.93/3.86	      3: evalstart1 -> evalstart2 : [], cost: 1
6.93/3.86	
6.93/3.86	      4: evalstart2 -> evalstartbb1in : B'=C, [ A>=0 ], cost: 1
6.93/3.86	
6.93/3.86	      5: evalstart2 -> evalstartbb6in : [ 0>=1+A ], cost: 1
6.93/3.86	
6.93/3.86	      6: evalstartbb1in -> evalstartbb2in : [ B>=1+A ], cost: 1
6.93/3.86	
6.93/3.86	      7: evalstartbb1in -> evalstartbb5in : [ A>=B ], cost: 1
6.93/3.86	
6.93/3.86	      8: evalstartbb2in -> evalstartbb3in : D'=-1-A+B, E'=100+2*A, [], cost: 1
6.93/3.86	
6.93/3.86	      9: evalstartbb3in -> evalstartbb4in : [ E>=1 ], cost: 1
6.93/3.86	
6.93/3.86	     10: evalstartbb3in -> evalstartbb1in : B'=D, [ 0>=E ], cost: 1
6.93/3.86	
6.93/3.86	     11: evalstartbb4in -> evalstartbb3in : E'=-1+E, [], cost: 1
6.93/3.86	
6.93/3.86	     12: evalstartbb5in -> evalstartstop : [], cost: 1
6.93/3.86	
6.93/3.86	     13: evalstartbb6in -> evalstart10 : [], cost: 1
6.93/3.86	
6.93/3.86	     14: evalstart10 -> evalstart11 : [], cost: 1
6.93/3.86	
6.93/3.86	     15: evalstart11 -> evalstartstop : [], cost: 1
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Removed unreachable and leaf rules:
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	      0: evalstartstart -> evalstartbb0in : [], cost: 1
6.93/3.86	
6.93/3.86	      1: evalstartbb0in -> evalstart0 : [], cost: 1
6.93/3.86	
6.93/3.86	      2: evalstart0 -> evalstart1 : [], cost: 1
6.93/3.86	
6.93/3.86	      3: evalstart1 -> evalstart2 : [], cost: 1
6.93/3.86	
6.93/3.86	      4: evalstart2 -> evalstartbb1in : B'=C, [ A>=0 ], cost: 1
6.93/3.86	
6.93/3.86	      6: evalstartbb1in -> evalstartbb2in : [ B>=1+A ], cost: 1
6.93/3.86	
6.93/3.86	      8: evalstartbb2in -> evalstartbb3in : D'=-1-A+B, E'=100+2*A, [], cost: 1
6.93/3.86	
6.93/3.86	      9: evalstartbb3in -> evalstartbb4in : [ E>=1 ], cost: 1
6.93/3.86	
6.93/3.86	     10: evalstartbb3in -> evalstartbb1in : B'=D, [ 0>=E ], cost: 1
6.93/3.86	
6.93/3.86	     11: evalstartbb4in -> evalstartbb3in : E'=-1+E, [], cost: 1
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	### Simplification by acceleration and chaining ###
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Eliminated locations (on linear paths):
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	     19: evalstartstart -> evalstartbb1in : B'=C, [ A>=0 ], cost: 5
6.93/3.86	
6.93/3.86	     20: evalstartbb1in -> evalstartbb3in : D'=-1-A+B, E'=100+2*A, [ B>=1+A ], cost: 2
6.93/3.86	
6.93/3.86	     10: evalstartbb3in -> evalstartbb1in : B'=D, [ 0>=E ], cost: 1
6.93/3.86	
6.93/3.86	     21: evalstartbb3in -> evalstartbb3in : E'=-1+E, [ E>=1 ], cost: 2
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Accelerating simple loops of location 7.
6.93/3.86	
6.93/3.86	   Accelerating the following rules:
6.93/3.86	
6.93/3.86	     21: evalstartbb3in -> evalstartbb3in : E'=-1+E, [ E>=1 ], cost: 2
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	   Accelerated rule 21 with metering function E, yielding the new rule 22.
6.93/3.86	
6.93/3.86	   Removing the simple loops: 21.
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Accelerated all simple loops using metering functions (where possible):
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	     19: evalstartstart -> evalstartbb1in : B'=C, [ A>=0 ], cost: 5
6.93/3.86	
6.93/3.86	     20: evalstartbb1in -> evalstartbb3in : D'=-1-A+B, E'=100+2*A, [ B>=1+A ], cost: 2
6.93/3.86	
6.93/3.86	     10: evalstartbb3in -> evalstartbb1in : B'=D, [ 0>=E ], cost: 1
6.93/3.86	
6.93/3.86	     22: evalstartbb3in -> evalstartbb3in : E'=0, [ E>=1 ], cost: 2*E
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Chained accelerated rules (with incoming rules):
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	     19: evalstartstart -> evalstartbb1in : B'=C, [ A>=0 ], cost: 5
6.93/3.86	
6.93/3.86	     20: evalstartbb1in -> evalstartbb3in : D'=-1-A+B, E'=100+2*A, [ B>=1+A ], cost: 2
6.93/3.86	
6.93/3.86	     23: evalstartbb1in -> evalstartbb3in : D'=-1-A+B, E'=0, [ B>=1+A && 100+2*A>=1 ], cost: 202+4*A
6.93/3.86	
6.93/3.86	     10: evalstartbb3in -> evalstartbb1in : B'=D, [ 0>=E ], cost: 1
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Eliminated locations (on tree-shaped paths):
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	     19: evalstartstart -> evalstartbb1in : B'=C, [ A>=0 ], cost: 5
6.93/3.86	
6.93/3.86	     24: evalstartbb1in -> evalstartbb1in : B'=-1-A+B, D'=-1-A+B, E'=100+2*A, [ B>=1+A && 0>=100+2*A ], cost: 3
6.93/3.86	
6.93/3.86	     25: evalstartbb1in -> evalstartbb1in : B'=-1-A+B, D'=-1-A+B, E'=0, [ B>=1+A && 100+2*A>=1 ], cost: 203+4*A
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Accelerating simple loops of location 5.
6.93/3.86	
6.93/3.86	   Accelerating the following rules:
6.93/3.86	
6.93/3.86	     24: evalstartbb1in -> evalstartbb1in : B'=-1-A+B, D'=-1-A+B, E'=100+2*A, [ B>=1+A && 0>=100+2*A ], cost: 3
6.93/3.86	
6.93/3.86	     25: evalstartbb1in -> evalstartbb1in : B'=-1-A+B, D'=-1-A+B, E'=0, [ B>=1+A && 100+2*A>=1 ], cost: 203+4*A
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	   Accelerated rule 24 with NONTERM, yielding the new rule 26.
6.93/3.86	
6.93/3.86	   Found no metering function for rule 25.
6.93/3.86	
6.93/3.86	   Removing the simple loops: 24.
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Accelerated all simple loops using metering functions (where possible):
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	     19: evalstartstart -> evalstartbb1in : B'=C, [ A>=0 ], cost: 5
6.93/3.86	
6.93/3.86	     25: evalstartbb1in -> evalstartbb1in : B'=-1-A+B, D'=-1-A+B, E'=0, [ B>=1+A && 100+2*A>=1 ], cost: 203+4*A
6.93/3.86	
6.93/3.86	     26: evalstartbb1in -> [15] : [ B>=1+A && 0>=100+2*A ], cost: INF
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Chained accelerated rules (with incoming rules):
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.86	
6.93/3.86	     19: evalstartstart -> evalstartbb1in : B'=C, [ A>=0 ], cost: 5
6.93/3.86	
6.93/3.86	     27: evalstartstart -> evalstartbb1in : B'=-1+C-A, D'=-1+C-A, E'=0, [ A>=0 && C>=1+A && 100+2*A>=1 ], cost: 208+4*A
6.93/3.86	
6.93/3.86	
6.93/3.86	
6.93/3.86	Removed unreachable locations (and leaf rules with constant cost):
6.93/3.86	
6.93/3.86	   Start location: evalstartstart
6.93/3.87	
6.93/3.87	     27: evalstartstart -> evalstartbb1in : B'=-1+C-A, D'=-1+C-A, E'=0, [ A>=0 && C>=1+A && 100+2*A>=1 ], cost: 208+4*A
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	### Computing asymptotic complexity ###
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	Fully simplified ITS problem
6.93/3.87	
6.93/3.87	   Start location: evalstartstart
6.93/3.87	
6.93/3.87	     27: evalstartstart -> evalstartbb1in : B'=-1+C-A, D'=-1+C-A, E'=0, [ A>=0 && C>=1+A && 100+2*A>=1 ], cost: 208+4*A
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	Computing asymptotic complexity for rule 27
6.93/3.87	
6.93/3.87	   Solved the limit problem by the following transformations:
6.93/3.87	
6.93/3.87	      Created initial limit problem:
6.93/3.87	
6.93/3.87	      208+4*A (+), C-A (+/+!), 1+A (+/+!) [not solved]
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	      removing all constraints (solved by SMT)
6.93/3.87	
6.93/3.87	      resulting limit problem: [solved]
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	      applying transformation rule (C) using substitution {C==n,A==-1+n}
6.93/3.87	
6.93/3.87	      resulting limit problem:
6.93/3.87	
6.93/3.87	      [solved]
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	   Solution:
6.93/3.87	
6.93/3.87	      C / n
6.93/3.87	
6.93/3.87	      A / -1+n
6.93/3.87	
6.93/3.87	   Resulting cost 204+4*n has complexity: Poly(n^1)
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	Found new complexity Poly(n^1).
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	Obtained the following overall complexity (w.r.t. the length of the input n):
6.93/3.87	
6.93/3.87	   Complexity:  Poly(n^1)
6.93/3.87	
6.93/3.87	   Cpx degree:  1
6.93/3.87	
6.93/3.87	   Solved cost: 204+4*n
6.93/3.87	
6.93/3.87	   Rule cost:   208+4*A
6.93/3.87	
6.93/3.87	   Rule guard:  [ A>=0 && C>=1+A ]
6.93/3.87	
6.93/3.87	
6.93/3.87	
6.93/3.87	WORST_CASE(Omega(n^1),?)
6.93/3.87	
6.93/3.87	
6.93/3.87	----------------------------------------
6.93/3.87	
6.93/3.87	(4)
6.93/3.87	BOUNDS(n^1, INF)
7.00/3.89	EOF