2.80/1.95	WORST_CASE(?, O(n^2))
2.80/1.96	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.80/1.96	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.80/1.96	
2.80/1.96	
2.80/1.96	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
2.80/1.96	
2.80/1.96	(0) CpxIntTrs
2.80/1.96	(1) Koat Proof [FINISHED, 672 ms]
2.80/1.96	(2) BOUNDS(1, n^2)
2.80/1.96	
2.80/1.96	
2.80/1.96	----------------------------------------
2.80/1.96	
2.80/1.96	(0)
2.80/1.96	Obligation:
2.80/1.96	Complexity Int TRS consisting of the following rules:
2.80/1.96	eval_perfect_start(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb0_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: TRUE
2.80/1.96	eval_perfect_bb0_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_x <= 1
2.80/1.96	eval_perfect_bb0_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb1_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_x > 1
2.80/1.96	eval_perfect_bb1_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb2_in(v_x, v_x - 1, v_y2.1, v_x)) :|: TRUE
2.80/1.96	eval_perfect_bb2_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb3_in(v_x, v_y1.0, v_x, v_y3.0)) :|: v_y1.0 > 0
2.80/1.96	eval_perfect_bb2_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y1.0 <= 0
2.90/2.37	eval_perfect_bb3_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb4_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y2.1 >= v_y1.0
2.90/2.37	eval_perfect_bb3_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y2.1 < v_y1.0
2.90/2.37	eval_perfect_bb4_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb3_in(v_x, v_y1.0, v_y2.1 - v_y1.0, v_y3.0)) :|: TRUE
2.90/2.37	eval_perfect_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb2_in(v_x, v_y1.0 - 1, v_y2.1, v_y3.0 - v_y1.0)) :|: v_y2.1 >= 0 && v_y2.1 <= 0
2.90/2.37	eval_perfect_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb2_in(v_x, v_y1.0 - 1, v_y2.1, v_y3.0)) :|: v_y2.1 < 0
2.90/2.37	eval_perfect_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb2_in(v_x, v_y1.0 - 1, v_y2.1, v_y3.0)) :|: v_y2.1 > 0
2.90/2.37	eval_perfect_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 < 0
2.90/2.37	eval_perfect_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 > 0
2.90/2.37	eval_perfect_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 >= 0 && v_y3.0 <= 0
2.90/2.37	eval_perfect_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect_stop(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: TRUE
2.90/2.37	
2.90/2.37	The start-symbols are:[eval_perfect_start_4]
2.90/2.37	
2.90/2.37	
2.90/2.37	----------------------------------------
2.90/2.37	
2.90/2.37	(1) Koat Proof (FINISHED)
2.90/2.37	YES(?, 13*ar_0 + 4*ar_0^2 + 28)
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	Initial complexity problem:
2.90/2.37	
2.90/2.37	1:	T:
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/2.37	
2.90/2.37		start location:	koat_start
2.90/2.37	
2.90/2.37		leaf cost:	0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.90/2.37	
2.90/2.37	2:	T:
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/2.37	
2.90/2.37		start location:	koat_start
2.90/2.37	
2.90/2.37		leaf cost:	0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	A polynomial rank function with
2.90/2.37	
2.90/2.37		Pol(evalperfectstart) = 3
2.90/2.37	
2.90/2.37		Pol(evalperfectbb0in) = 3
2.90/2.37	
2.90/2.37		Pol(evalperfectbb7in) = 1
2.90/2.37	
2.90/2.37		Pol(evalperfectbb1in) = 3
2.90/2.37	
2.90/2.37		Pol(evalperfectbb2in) = 3
2.90/2.37	
2.90/2.37		Pol(evalperfectbb3in) = 3
2.90/2.37	
2.90/2.37		Pol(evalperfectbb6in) = 2
2.90/2.37	
2.90/2.37		Pol(evalperfectbb4in) = 3
2.90/2.37	
2.90/2.37		Pol(evalperfectbb5in) = 3
2.90/2.37	
2.90/2.37		Pol(evalperfectstop) = 0
2.90/2.37	
2.90/2.37		Pol(koat_start) = 3
2.90/2.37	
2.90/2.37	orients all transitions weakly and the transitions
2.90/2.37	
2.90/2.37		evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37		evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/2.37	
2.90/2.37		evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37	strictly and produces the following problem:
2.90/2.37	
2.90/2.37	3:	T:
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)    evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)    evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/2.37	
2.90/2.37		start location:	koat_start
2.90/2.37	
2.90/2.37		leaf cost:	0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	A polynomial rank function with
2.90/2.37	
2.90/2.37		Pol(evalperfectbb5in) = V_2 - 1
2.90/2.37	
2.90/2.37		Pol(evalperfectbb2in) = V_2
2.90/2.37	
2.90/2.37		Pol(evalperfectbb4in) = V_2 - 1
2.90/2.37	
2.90/2.37		Pol(evalperfectbb3in) = V_2 - 1
2.90/2.37	
2.90/2.37	and size complexities
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-2) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-3) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-1) = ar_0 + 1
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-2) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.90/2.37	
2.90/2.37	orients the transitions
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/2.37	
2.90/2.37		evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37		evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37	weakly and the transition
2.90/2.37	
2.90/2.37		evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37	strictly and produces the following problem:
2.90/2.37	
2.90/2.37	4:	T:
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)           evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)           evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)           evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)           evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/2.37	
2.90/2.37			(Comp: ar_0 + 1, Cost: 1)    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)           evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)           evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)           evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)           evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)           evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)           evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)           evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)           evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)           evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)           evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)           evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/2.37	
2.90/2.37		start location:	koat_start
2.90/2.37	
2.90/2.37		leaf cost:	0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	A polynomial rank function with
2.90/2.37	
2.90/2.37		Pol(evalperfectbb5in) = 1
2.90/2.37	
2.90/2.37		Pol(evalperfectbb2in) = 0
2.90/2.37	
2.90/2.37		Pol(evalperfectbb4in) = 2
2.90/2.37	
2.90/2.37		Pol(evalperfectbb3in) = 2
2.90/2.37	
2.90/2.37	and size complexities
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-2) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-3) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-3) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-1) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-2) = ?
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-1) = ar_0 + 1
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-2) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.90/2.37	
2.90/2.37	orients the transitions
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/2.37	
2.90/2.37		evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37	weakly and the transitions
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37		evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37	strictly and produces the following problem:
2.90/2.37	
2.90/2.37	5:	T:
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/2.37	
2.90/2.37			(Comp: ar_0 + 1, Cost: 1)      evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)             evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)             evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/2.37	
2.90/2.37		start location:	koat_start
2.90/2.37	
2.90/2.37		leaf cost:	0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	Applied AI with 'oct' on problem 5 to obtain the following invariants:
2.90/2.37	
2.90/2.37	  For symbol evalperfectbb1in: X_1 - 2 >= 0
2.90/2.37	
2.90/2.37	  For symbol evalperfectbb2in: X_1 - X_3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 2 >= 0
2.90/2.37	
2.90/2.37	  For symbol evalperfectbb3in: X_1 - X_4 >= 0 /\ X_1 - X_3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0
2.90/2.37	
2.90/2.37	  For symbol evalperfectbb4in: X_1 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ -X_2 + X_4 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_1 - X_3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0
2.90/2.37	
2.90/2.37	  For symbol evalperfectbb5in: X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 2 >= 0 /\ X_1 - X_3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0
2.90/2.37	
2.90/2.37	  For symbol evalperfectbb6in: X_1 - X_3 >= 0 /\ -X_2 >= 0 /\ X_1 - X_2 - 2 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 2 >= 0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	This yielded the following problem:
2.90/2.37	
2.90/2.37	6:	T:
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)             evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: ?, Cost: 1)             evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)             evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ar_0 + 1, Cost: 1)      evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)             evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37		start location:	koat_start
2.90/2.37	
2.90/2.37		leaf cost:	0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	A polynomial rank function with
2.90/2.37	
2.90/2.37		Pol(evalperfectbb4in) = -2*V_2 + 2*V_4 + 1
2.90/2.37	
2.90/2.37		Pol(evalperfectbb3in) = 2*V_4
2.90/2.37	
2.90/2.37	and size complexities
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-2) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= 1 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= 1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_1 ]", 0-1) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= ar_1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= ar_1 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= ar_1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= ar_1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ -ar_1 + ar_3 >= 0 /\\ ar_0 + ar_3 - 3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ -ar_1 + ar_3 >= 0 /\\ ar_0 + ar_3 - 3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ -ar_1 + ar_3 >= 0 /\\ ar_0 + ar_3 - 3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\\ ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 2 >= 0 /\\ -ar_1 + ar_3 >= 0 /\\ ar_0 + ar_3 - 3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 = 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 = 0 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 = 0 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 = 0 ]", 0-3) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_3 + 1 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_3 + 1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_3 + 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= 1 ]", 0-1) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= 1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_0 - ar_3 - 2 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_0 - ar_1 - 1 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 3 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_3 >= 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_2 + 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_2 + 1 ]", 0-1) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_2 + 1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ 0 >= ar_2 + 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 1 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 1 ]", 0-1) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 1 ]", 0-2) = 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 >= 1 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 0 ]", 0-1) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 0 ]", 0-2) = 0
2.90/2.37	
2.90/2.37		S("evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\\ -ar_1 >= 0 /\\ ar_0 - ar_1 - 2 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_2 = 0 ]", 0-3) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2 + 3*ar_0 + 2*ar_0^2
2.90/2.37	
2.90/2.37		S("evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_0 + ar_3
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.90/2.37	
2.90/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.90/2.37	
2.90/2.37	orients the transitions
2.90/2.37	
2.90/2.37		evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 ]
2.90/2.37	
2.90/2.37		evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37	weakly and the transitions
2.90/2.37	
2.90/2.37		evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 ]
2.90/2.37	
2.90/2.37		evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37	strictly and produces the following problem:
2.90/2.37	
2.90/2.37	7:	T:
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 0)                    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)                    evalperfectbb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectstop(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)                    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)                    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ ar_2 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)                    evalperfectbb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 2 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_2 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)           evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)           evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)           evalperfectbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 = 0 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0^2 + 2*ar_0, Cost: 1)    evalperfectbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_3 - ar_1)) [ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0 + 2, Cost: 1)           evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.90/2.37	
2.90/2.37			(Comp: 2*ar_0^2 + 2*ar_0, Cost: 1)    evalperfectbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: 3, Cost: 1)                    evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb6in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_1 ]
2.90/2.37	
2.90/2.37			(Comp: ar_0 + 1, Cost: 1)             evalperfectbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_0 - ar_2 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ ar_1 >= 1 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)                    evalperfectbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)                    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)                    evalperfectbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/2.37	
2.90/2.37			(Comp: 1, Cost: 1)                    evalperfectstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfectbb0in(ar_0, ar_1, ar_2, ar_3))
2.90/2.37	
2.90/2.37		start location:	koat_start
2.90/2.37	
2.90/2.37		leaf cost:	0
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	Complexity upper bound 13*ar_0 + 4*ar_0^2 + 28
2.90/2.37	
2.90/2.37	
2.90/2.37	
2.90/2.37	Time: 0.678 sec (SMT: 0.552 sec)
2.90/2.37	
2.90/2.37	
2.90/2.37	----------------------------------------
2.90/2.37	
2.90/2.37	(2)
2.90/2.37	BOUNDS(1, n^2)
2.90/2.43	EOF