2.90/1.89	WORST_CASE(?, O(n^2))
2.90/1.90	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.90/1.90	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.90/1.90	
2.90/1.90	
2.90/1.90	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
2.90/1.90	
2.90/1.90	(0) CpxIntTrs
2.90/1.90	(1) Koat Proof [FINISHED, 683 ms]
2.90/1.90	(2) BOUNDS(1, n^2)
2.90/1.90	
2.90/1.90	
2.90/1.90	----------------------------------------
2.90/1.90	
2.90/1.90	(0)
2.90/1.90	Obligation:
2.90/1.90	Complexity Int TRS consisting of the following rules:
2.90/1.90	eval_perfect1_start(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb0_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: TRUE
2.90/1.90	eval_perfect1_bb0_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_x <= 1
2.90/1.90	eval_perfect1_bb0_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb1_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_x > 1
2.90/1.90	eval_perfect1_bb1_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb2_in(v_x, v_x - 1, v_y2.1, v_x)) :|: TRUE
2.90/1.90	eval_perfect1_bb2_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb3_in(v_x, v_y1.0, v_x, v_y3.0)) :|: v_y1.0 > 0
2.90/1.90	eval_perfect1_bb2_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y1.0 <= 0
2.90/1.90	eval_perfect1_bb3_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb4_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y2.1 >= v_y1.0
2.90/1.90	eval_perfect1_bb3_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y2.1 < v_y1.0
2.90/1.90	eval_perfect1_bb4_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb3_in(v_x, v_y1.0, v_y2.1 - v_y1.0, v_y3.0)) :|: TRUE
2.90/1.90	eval_perfect1_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_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
2.90/1.90	eval_perfect1_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb2_in(v_x, v_y1.0 - 1, v_y2.1, v_y3.0)) :|: v_y2.1 < 0
2.90/1.90	eval_perfect1_bb5_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb2_in(v_x, v_y1.0 - 1, v_y2.1, v_y3.0)) :|: v_y2.1 > 0
2.90/1.90	eval_perfect1_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 < 0
2.90/1.90	eval_perfect1_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 > 0
2.90/1.90	eval_perfect1_bb6_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: v_y3.0 >= 0 && v_y3.0 <= 0
2.90/1.90	eval_perfect1_bb7_in(v_x, v_y1.0, v_y2.1, v_y3.0) -> Com_1(eval_perfect1_stop(v_x, v_y1.0, v_y2.1, v_y3.0)) :|: TRUE
2.90/1.90	
2.90/1.90	The start-symbols are:[eval_perfect1_start_4]
2.90/1.90	
2.90/1.90	
2.90/1.90	----------------------------------------
2.90/1.90	
2.90/1.90	(1) Koat Proof (FINISHED)
2.90/1.90	YES(?, 19*ar_0 + 8*ar_0^2 + 30)
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	Initial complexity problem:
2.90/1.90	
2.90/1.90	1:	T:
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/1.90	
2.90/1.90		start location:	koat_start
2.90/1.90	
2.90/1.90		leaf cost:	0
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.90/1.90	
2.90/1.90	2:	T:
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/1.90	
2.90/1.90		start location:	koat_start
2.90/1.90	
2.90/1.90		leaf cost:	0
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	A polynomial rank function with
2.90/1.90	
2.90/1.90		Pol(evalperfect1start) = 3
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb0in) = 3
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb7in) = 1
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb1in) = 3
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb2in) = 3
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb3in) = 3
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb6in) = 2
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb4in) = 3
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb5in) = 3
2.90/1.90	
2.90/1.90		Pol(evalperfect1stop) = 0
2.90/1.90	
2.90/1.90		Pol(koat_start) = 3
2.90/1.90	
2.90/1.90	orients all transitions weakly and the transitions
2.90/1.90	
2.90/1.90		evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90		evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/1.90	
2.90/1.90		evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/1.90	
2.90/1.90	strictly and produces the following problem:
2.90/1.90	
2.90/1.90	3:	T:
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)    evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)    evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)    evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)    evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/1.90	
2.90/1.90		start location:	koat_start
2.90/1.90	
2.90/1.90		leaf cost:	0
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	A polynomial rank function with
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb5in) = V_2 - 1
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb2in) = V_2
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb4in) = V_2 - 1
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb3in) = V_2 - 1
2.90/1.90	
2.90/1.90	and size complexities
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-2) = 0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-3) = 0
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-3) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-1) = ar_0 + 1
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-2) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.90/1.90	
2.90/1.90	orients the transitions
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/1.90	
2.90/1.90		evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/1.90	
2.90/1.90	weakly and the transition
2.90/1.90	
2.90/1.90		evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/1.90	
2.90/1.90	strictly and produces the following problem:
2.90/1.90	
2.90/1.90	4:	T:
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)           evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)           evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)           evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)           evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/1.90	
2.90/1.90			(Comp: ar_0 + 1, Cost: 1)    evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)           evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)           evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)           evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)           evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)           evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)           evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)           evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)           evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)           evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)           evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)           evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/1.90	
2.90/1.90		start location:	koat_start
2.90/1.90	
2.90/1.90		leaf cost:	0
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	A polynomial rank function with
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb5in) = 1
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb2in) = 0
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb4in) = 2
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb3in) = 2
2.90/1.90	
2.90/1.90	and size complexities
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-2) = 0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]", 0-3) = 0
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-3) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-1) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-2) = ?
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]", 0-3) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-1) = ar_0 + 1
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-2) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.90/1.90	
2.90/1.90	orients the transitions
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/1.90	
2.90/1.90		evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/1.90	
2.90/1.90	weakly and the transitions
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90		evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90	strictly and produces the following problem:
2.90/1.90	
2.90/1.90	5:	T:
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3))
2.90/1.90	
2.90/1.90			(Comp: ar_0 + 1, Cost: 1)      evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_0)) [ ar_1 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)             evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= ar_1 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)             evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3 - ar_1))
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2 - ar_1, ar_3)) [ ar_3 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 >= ar_3 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_1 - 1, ar_2, ar_3)) [ ar_3 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 + 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 = 0 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/1.90	
2.90/1.90		start location:	koat_start
2.90/1.90	
2.90/1.90		leaf cost:	0
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	Applied AI with 'oct' on problem 5 to obtain the following invariants:
2.90/1.90	
2.90/1.90	  For symbol evalperfect1bb1in: X_1 - 2 >= 0
2.90/1.90	
2.90/1.90	  For symbol evalperfect1bb2in: X_1 - X_3 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 2 >= 0
2.90/1.90	
2.90/1.90	  For symbol evalperfect1bb3in: 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
2.90/1.90	
2.90/1.90	  For symbol evalperfect1bb4in: 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
2.90/1.90	
2.90/1.90	  For symbol evalperfect1bb5in: 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
2.90/1.90	
2.90/1.90	  For symbol evalperfect1bb6in: 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
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	This yielded the following problem:
2.90/1.90	
2.90/1.90	6:	T:
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)             evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(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 ]
2.90/1.90	
2.90/1.90			(Comp: ?, Cost: 1)             evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)             evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(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 ]
2.90/1.90	
2.90/1.90			(Comp: ar_0 + 1, Cost: 1)      evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)             evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90		start location:	koat_start
2.90/1.90	
2.90/1.90		leaf cost:	0
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	A polynomial rank function with
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb4in) = 2*V_4
2.90/1.90	
2.90/1.90		Pol(evalperfect1bb3in) = 2*V_2 + 2*V_4 - 1
2.90/1.90	
2.90/1.90	and size complexities
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-1) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-2) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2 + 3*ar_0 + 2*ar_0^2
2.90/1.90	
2.90/1.90		S("evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_0 + ar_3
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.90/1.90	
2.90/1.90		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.90/1.90	
2.90/1.90	orients the transitions
2.90/1.90	
2.90/1.90		evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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 ]
2.90/1.90	
2.90/1.90		evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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 ]
2.90/1.90	
2.90/1.90	weakly and the transitions
2.90/1.90	
2.90/1.90		evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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 ]
2.90/1.90	
2.90/1.90		evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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 ]
2.90/1.90	
2.90/1.90	strictly and produces the following problem:
2.90/1.90	
2.90/1.90	7:	T:
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 0)                        koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)                        evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1stop(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)                        evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)                        evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)                        evalperfect1bb6in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)               evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)               evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)               evalperfect1bb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 4*ar_0^2 + 5*ar_0 + 1, Cost: 1)    evalperfect1bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 2*ar_0 + 2, Cost: 1)               evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb5in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 4*ar_0^2 + 5*ar_0 + 1, Cost: 1)    evalperfect1bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb4in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 3, Cost: 1)                        evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb6in(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 ]
2.90/1.90	
2.90/1.90			(Comp: ar_0 + 1, Cost: 1)                 evalperfect1bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb3in(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 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)                        evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb2in(ar_0, ar_0 - 1, ar_0, ar_3)) [ ar_0 - 2 >= 0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)                        evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb1in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 2 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)                        evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb7in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_0 ]
2.90/1.90	
2.90/1.90			(Comp: 1, Cost: 1)                        evalperfect1start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalperfect1bb0in(ar_0, ar_1, ar_2, ar_3))
2.90/1.90	
2.90/1.90		start location:	koat_start
2.90/1.90	
2.90/1.90		leaf cost:	0
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	Complexity upper bound 19*ar_0 + 8*ar_0^2 + 30
2.90/1.90	
2.90/1.90	
2.90/1.90	
2.90/1.90	Time: 0.669 sec (SMT: 0.544 sec)
2.90/1.90	
2.90/1.90	
2.90/1.90	----------------------------------------
2.90/1.90	
2.90/1.90	(2)
2.90/1.90	BOUNDS(1, n^2)
2.90/1.93	EOF