5.37/2.51	WORST_CASE(Omega(n^1), O(n^1))
5.37/2.52	proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
5.37/2.52	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.37/2.52	
5.37/2.52	
5.37/2.52	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1).
5.37/2.52	
5.37/2.52	(0) CpxIntTrs
5.37/2.52	(1) Koat Proof [FINISHED, 305 ms]
5.37/2.52	(2) BOUNDS(1, n^1)
5.37/2.52	(3) Loat Proof [FINISHED, 816 ms]
5.37/2.52	(4) BOUNDS(n^1, INF)
5.37/2.52	
5.37/2.52	
5.37/2.52	----------------------------------------
5.37/2.52	
5.37/2.52	(0)
5.37/2.52	Obligation:
5.37/2.52	Complexity Int TRS consisting of the following rules:
5.37/2.52	eval_start_start(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb0_in(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_bb0_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_0(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_0(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_1(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_1(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_2(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_2(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_3(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_3(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_4(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_4(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_5(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_5(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb1_in(v_x, v_y, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_bb1_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb2_in(v__0, v__01, v__1, v__12, v_x, v_y)) :|: v__0 > v__01
5.37/2.52	eval_start_bb1_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb3_in(v__0, v__01, v__1, v__01, v_x, v_y)) :|: v__0 <= v__01
5.37/2.52	eval_start_bb2_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb1_in(v__0 + 999, v__01 + 1000, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_bb3_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb4_in(v__0, v__01, v__1, v__12, v_x, v_y)) :|: v__12 > 0
5.37/2.52	eval_start_bb3_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb5_in(v__0, v__01, v__0, v__12, v_x, v_y)) :|: v__12 <= 0
5.37/2.52	eval_start_bb4_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb3_in(v__0, v__01, v__1, v__12 - 1, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_bb5_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb6_in(v__0, v__01, v__1, v__12, v_x, v_y)) :|: v__1 < 0
5.37/2.52	eval_start_bb5_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb7_in(v__0, v__01, v__1, v__12, v_x, v_y)) :|: v__1 >= 0
5.37/2.52	eval_start_bb6_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_bb5_in(v__0, v__01, v__1 + 1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	eval_start_bb7_in(v__0, v__01, v__1, v__12, v_x, v_y) -> Com_1(eval_start_stop(v__0, v__01, v__1, v__12, v_x, v_y)) :|: TRUE
5.37/2.52	
5.37/2.52	The start-symbols are:[eval_start_start_6]
5.37/2.52	
5.37/2.52	
5.37/2.52	----------------------------------------
5.37/2.52	
5.37/2.52	(1) Koat Proof (FINISHED)
5.37/2.52	YES(?, 8012*ar_1 + 8010*ar_3 + 26)
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Initial complexity problem:
5.37/2.52	
5.37/2.52	1:	T:
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Repeatedly propagating knowledge in problem 1 produces the following problem:
5.37/2.52	
5.37/2.52	2:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	A polynomial rank function with
5.37/2.52	
5.37/2.52		Pol(evalstartstart) = 4
5.37/2.52	
5.37/2.52		Pol(evalstartbb0in) = 4
5.37/2.52	
5.37/2.52		Pol(evalstart0) = 4
5.37/2.52	
5.37/2.52		Pol(evalstart1) = 4
5.37/2.52	
5.37/2.52		Pol(evalstart2) = 4
5.37/2.52	
5.37/2.52		Pol(evalstart3) = 4
5.37/2.52	
5.37/2.52		Pol(evalstart4) = 4
5.37/2.52	
5.37/2.52		Pol(evalstart5) = 4
5.37/2.52	
5.37/2.52		Pol(evalstartbb1in) = 4
5.37/2.52	
5.37/2.52		Pol(evalstartbb2in) = 4
5.37/2.52	
5.37/2.52		Pol(evalstartbb3in) = 3
5.37/2.52	
5.37/2.52		Pol(evalstartbb4in) = 3
5.37/2.52	
5.37/2.52		Pol(evalstartbb5in) = 2
5.37/2.52	
5.37/2.52		Pol(evalstartbb6in) = 2
5.37/2.52	
5.37/2.52		Pol(evalstartbb7in) = 1
5.37/2.52	
5.37/2.52		Pol(evalstartstop) = 0
5.37/2.52	
5.37/2.52		Pol(koat_start) = 4
5.37/2.52	
5.37/2.52	orients all transitions weakly and the transitions
5.37/2.52	
5.37/2.52		evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52		evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52		evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52	strictly and produces the following problem:
5.37/2.52	
5.37/2.52	3:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)    evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)    evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)    evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)    evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	A polynomial rank function with
5.37/2.52	
5.37/2.52		Pol(evalstartstart) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstartbb0in) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstart0) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstart1) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstart2) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstart3) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstart4) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstart5) = V_2 - V_4
5.37/2.52	
5.37/2.52		Pol(evalstartbb1in) = V_1 - V_3
5.37/2.52	
5.37/2.52		Pol(evalstartbb2in) = V_1 - V_3 - 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb3in) = V_1 - V_3
5.37/2.52	
5.37/2.52		Pol(evalstartbb4in) = V_1 - V_3
5.37/2.52	
5.37/2.52		Pol(evalstartbb5in) = 2*V_1 - V_3 - V_6
5.37/2.52	
5.37/2.52		Pol(evalstartbb6in) = 2*V_1 - V_3 - V_6 - 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb7in) = 2*V_1 - V_3 - V_6
5.37/2.52	
5.37/2.52		Pol(evalstartstop) = 2*V_1 - V_3 - V_6
5.37/2.52	
5.37/2.52		Pol(koat_start) = V_2 - V_4
5.37/2.52	
5.37/2.52	orients all transitions weakly and the transition
5.37/2.52	
5.37/2.52		evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52	strictly and produces the following problem:
5.37/2.52	
5.37/2.52	4:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Repeatedly propagating knowledge in problem 4 produces the following problem:
5.37/2.52	
5.37/2.52	5:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	A polynomial rank function with
5.37/2.52	
5.37/2.52		Pol(evalstartstart) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb0in) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstart0) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstart1) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstart2) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstart3) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstart4) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstart5) = -V_2 + 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb1in) = -V_1 + 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb2in) = -V_1 + 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb3in) = -V_1 + 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb4in) = -V_1 + 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb5in) = -V_6 + 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb6in) = -V_6
5.37/2.52	
5.37/2.52		Pol(evalstartbb7in) = -V_6
5.37/2.52	
5.37/2.52		Pol(evalstartstop) = -V_6
5.37/2.52	
5.37/2.52		Pol(koat_start) = -V_2 + 1
5.37/2.52	
5.37/2.52	orients all transitions weakly and the transition
5.37/2.52	
5.37/2.52		evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52	strictly and produces the following problem:
5.37/2.52	
5.37/2.52	6:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + 1, Cost: 1)       evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Repeatedly propagating knowledge in problem 6 produces the following problem:
5.37/2.52	
5.37/2.52	7:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)              evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)    evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)    evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)              evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + 1, Cost: 1)       evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + 1, Cost: 1)       evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)              evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	A polynomial rank function with
5.37/2.52	
5.37/2.52		Pol(evalstartbb4in) = V_5 - 1
5.37/2.52	
5.37/2.52		Pol(evalstartbb3in) = V_5
5.37/2.52	
5.37/2.52	and size complexities
5.37/2.52	
5.37/2.52		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ?
5.37/2.52	
5.37/2.52		S("evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = 1001*ar_1 + 1001*ar_3 + 1004006004001
5.37/2.52	
5.37/2.52		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-4) = ?
5.37/2.52	
5.37/2.52		S("evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-5) = 1001*ar_1 + 1001*ar_3 + 1002001
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]", 0-4) = ?
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]", 0-5) = 1001*ar_1 + 1001*ar_3 + 1003003001
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-4) = ?
5.37/2.52	
5.37/2.52		S("evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]", 0-5) = 1001*ar_1 + 1001*ar_3 + 1002001
5.37/2.52	
5.37/2.52		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-4) = ?
5.37/2.52	
5.37/2.52		S("evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]", 0-4) = ?
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]", 0-5) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-4) = ?
5.37/2.52	
5.37/2.52		S("evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]", 0-4) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-0) = 1000*ar_1 + 1000*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-2) = 1001*ar_1 + 1001*ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-0) = ar_1
5.37/2.52	
5.37/2.52		S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-2) = ar_3
5.37/2.52	
5.37/2.52		S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
5.37/2.52	
5.37/2.52		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
5.37/2.52	
5.37/2.52		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
5.37/2.52	
5.37/2.52		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
5.37/2.52	
5.37/2.52		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
5.37/2.52	
5.37/2.52		S("evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
5.37/2.52	
5.37/2.52	orients the transitions
5.37/2.52	
5.37/2.52		evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52	weakly and the transition
5.37/2.52	
5.37/2.52		evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52	strictly and produces the following problem:
5.37/2.52	
5.37/2.52	8:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)              evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)              evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 4004*ar_1 + 4004*ar_3, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: ?, Cost: 1)                        evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + 1, Cost: 1)                 evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + 1, Cost: 1)                 evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)                        koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Repeatedly propagating knowledge in problem 8 produces the following problem:
5.37/2.52	
5.37/2.52	9:	T:
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstartbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart0(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart1(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart4(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 1)                        evalstart5(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)              evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ ar_2 >= ar_0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + ar_3, Cost: 1)              evalstartbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb1in(ar_0 + 999, ar_1, ar_2 + 1000, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 4004*ar_1 + 4004*ar_3, Cost: 1)    evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0)) [ 0 >= ar_4 ]
5.37/2.52	
5.37/2.52			(Comp: 4004*ar_1 + 4004*ar_3, Cost: 1)    evalstartbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
5.37/2.52	
5.37/2.52			(Comp: ar_1 + 1, Cost: 1)                 evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 + 1 ]
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 0 ]
5.37/2.52	
5.37/2.52			(Comp: ar_1 + 1, Cost: 1)                 evalstartbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
5.37/2.52	
5.37/2.52			(Comp: 4, Cost: 1)                        evalstartbb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
5.37/2.52	
5.37/2.52			(Comp: 1, Cost: 0)                        koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalstartstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
5.37/2.52	
5.37/2.52		start location:	koat_start
5.37/2.52	
5.37/2.52		leaf cost:	0
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Complexity upper bound 8012*ar_1 + 8010*ar_3 + 26
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Time: 0.333 sec (SMT: 0.228 sec)
5.37/2.52	
5.37/2.52	
5.37/2.52	----------------------------------------
5.37/2.52	
5.37/2.52	(2)
5.37/2.52	BOUNDS(1, n^1)
5.37/2.52	
5.37/2.52	----------------------------------------
5.37/2.52	
5.37/2.52	(3) Loat Proof (FINISHED)
5.37/2.52	
5.37/2.52	
5.37/2.52	### Pre-processing the ITS problem ###
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Initial linear ITS problem
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	      0: evalstartstart -> evalstartbb0in : [], cost: 1
5.37/2.52	
5.37/2.52	      1: evalstartbb0in -> evalstart0 : [], cost: 1
5.37/2.52	
5.37/2.52	      2: evalstart0 -> evalstart1 : [], cost: 1
5.37/2.52	
5.37/2.52	      3: evalstart1 -> evalstart2 : [], cost: 1
5.37/2.52	
5.37/2.52	      4: evalstart2 -> evalstart3 : [], cost: 1
5.37/2.52	
5.37/2.52	      5: evalstart3 -> evalstart4 : [], cost: 1
5.37/2.52	
5.37/2.52	      6: evalstart4 -> evalstart5 : [], cost: 1
5.37/2.52	
5.37/2.52	      7: evalstart5 -> evalstartbb1in : A'=B, C'=D, [], cost: 1
5.37/2.52	
5.37/2.52	      8: evalstartbb1in -> evalstartbb2in : [ A>=1+C ], cost: 1
5.37/2.52	
5.37/2.52	      9: evalstartbb1in -> evalstartbb3in : E'=C, [ C>=A ], cost: 1
5.37/2.52	
5.37/2.52	     10: evalstartbb2in -> evalstartbb1in : A'=999+A, C'=1000+C, [], cost: 1
5.37/2.52	
5.37/2.52	     11: evalstartbb3in -> evalstartbb4in : [ E>=1 ], cost: 1
5.37/2.52	
5.37/2.52	     12: evalstartbb3in -> evalstartbb5in : F'=A, [ 0>=E ], cost: 1
5.37/2.52	
5.37/2.52	     13: evalstartbb4in -> evalstartbb3in : E'=-1+E, [], cost: 1
5.37/2.52	
5.37/2.52	     14: evalstartbb5in -> evalstartbb6in : [ 0>=1+F ], cost: 1
5.37/2.52	
5.37/2.52	     15: evalstartbb5in -> evalstartbb7in : [ F>=0 ], cost: 1
5.37/2.52	
5.37/2.52	     16: evalstartbb6in -> evalstartbb5in : F'=1+F, [], cost: 1
5.37/2.52	
5.37/2.52	     17: evalstartbb7in -> evalstartstop : [], cost: 1
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Removed unreachable and leaf rules:
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	      0: evalstartstart -> evalstartbb0in : [], cost: 1
5.37/2.52	
5.37/2.52	      1: evalstartbb0in -> evalstart0 : [], cost: 1
5.37/2.52	
5.37/2.52	      2: evalstart0 -> evalstart1 : [], cost: 1
5.37/2.52	
5.37/2.52	      3: evalstart1 -> evalstart2 : [], cost: 1
5.37/2.52	
5.37/2.52	      4: evalstart2 -> evalstart3 : [], cost: 1
5.37/2.52	
5.37/2.52	      5: evalstart3 -> evalstart4 : [], cost: 1
5.37/2.52	
5.37/2.52	      6: evalstart4 -> evalstart5 : [], cost: 1
5.37/2.52	
5.37/2.52	      7: evalstart5 -> evalstartbb1in : A'=B, C'=D, [], cost: 1
5.37/2.52	
5.37/2.52	      8: evalstartbb1in -> evalstartbb2in : [ A>=1+C ], cost: 1
5.37/2.52	
5.37/2.52	      9: evalstartbb1in -> evalstartbb3in : E'=C, [ C>=A ], cost: 1
5.37/2.52	
5.37/2.52	     10: evalstartbb2in -> evalstartbb1in : A'=999+A, C'=1000+C, [], cost: 1
5.37/2.52	
5.37/2.52	     11: evalstartbb3in -> evalstartbb4in : [ E>=1 ], cost: 1
5.37/2.52	
5.37/2.52	     12: evalstartbb3in -> evalstartbb5in : F'=A, [ 0>=E ], cost: 1
5.37/2.52	
5.37/2.52	     13: evalstartbb4in -> evalstartbb3in : E'=-1+E, [], cost: 1
5.37/2.52	
5.37/2.52	     14: evalstartbb5in -> evalstartbb6in : [ 0>=1+F ], cost: 1
5.37/2.52	
5.37/2.52	     16: evalstartbb6in -> evalstartbb5in : F'=1+F, [], cost: 1
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	### Simplification by acceleration and chaining ###
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Eliminated locations (on linear paths):
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	     24: evalstartstart -> evalstartbb1in : A'=B, C'=D, [], cost: 8
5.37/2.52	
5.37/2.52	      9: evalstartbb1in -> evalstartbb3in : E'=C, [ C>=A ], cost: 1
5.37/2.52	
5.37/2.52	     25: evalstartbb1in -> evalstartbb1in : A'=999+A, C'=1000+C, [ A>=1+C ], cost: 2
5.37/2.52	
5.37/2.52	     12: evalstartbb3in -> evalstartbb5in : F'=A, [ 0>=E ], cost: 1
5.37/2.52	
5.37/2.52	     26: evalstartbb3in -> evalstartbb3in : E'=-1+E, [ E>=1 ], cost: 2
5.37/2.52	
5.37/2.52	     27: evalstartbb5in -> evalstartbb5in : F'=1+F, [ 0>=1+F ], cost: 2
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Accelerating simple loops of location 8.
5.37/2.52	
5.37/2.52	   Accelerating the following rules:
5.37/2.52	
5.37/2.52	     25: evalstartbb1in -> evalstartbb1in : A'=999+A, C'=1000+C, [ A>=1+C ], cost: 2
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	   Accelerated rule 25 with metering function -C+A, yielding the new rule 28.
5.37/2.52	
5.37/2.52	   Removing the simple loops: 25.
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Accelerating simple loops of location 10.
5.37/2.52	
5.37/2.52	   Accelerating the following rules:
5.37/2.52	
5.37/2.52	     26: evalstartbb3in -> evalstartbb3in : E'=-1+E, [ E>=1 ], cost: 2
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	   Accelerated rule 26 with metering function E, yielding the new rule 29.
5.37/2.52	
5.37/2.52	   Removing the simple loops: 26.
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Accelerating simple loops of location 12.
5.37/2.52	
5.37/2.52	   Accelerating the following rules:
5.37/2.52	
5.37/2.52	     27: evalstartbb5in -> evalstartbb5in : F'=1+F, [ 0>=1+F ], cost: 2
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	   Accelerated rule 27 with metering function -F, yielding the new rule 30.
5.37/2.52	
5.37/2.52	   Removing the simple loops: 27.
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Accelerated all simple loops using metering functions (where possible):
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	     24: evalstartstart -> evalstartbb1in : A'=B, C'=D, [], cost: 8
5.37/2.52	
5.37/2.52	      9: evalstartbb1in -> evalstartbb3in : E'=C, [ C>=A ], cost: 1
5.37/2.52	
5.37/2.52	     28: evalstartbb1in -> evalstartbb1in : A'=-999*C+1000*A, C'=-999*C+1000*A, [ A>=1+C ], cost: -2*C+2*A
5.37/2.52	
5.37/2.52	     12: evalstartbb3in -> evalstartbb5in : F'=A, [ 0>=E ], cost: 1
5.37/2.52	
5.37/2.52	     29: evalstartbb3in -> evalstartbb3in : E'=0, [ E>=1 ], cost: 2*E
5.37/2.52	
5.37/2.52	     30: evalstartbb5in -> evalstartbb5in : F'=0, [ 0>=1+F ], cost: -2*F
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Chained accelerated rules (with incoming rules):
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	     24: evalstartstart -> evalstartbb1in : A'=B, C'=D, [], cost: 8
5.37/2.52	
5.37/2.52	     31: evalstartstart -> evalstartbb1in : A'=-999*D+1000*B, C'=-999*D+1000*B, [ B>=1+D ], cost: 8-2*D+2*B
5.37/2.52	
5.37/2.52	      9: evalstartbb1in -> evalstartbb3in : E'=C, [ C>=A ], cost: 1
5.37/2.52	
5.37/2.52	     32: evalstartbb1in -> evalstartbb3in : E'=0, [ C>=A && C>=1 ], cost: 1+2*C
5.37/2.52	
5.37/2.52	     12: evalstartbb3in -> evalstartbb5in : F'=A, [ 0>=E ], cost: 1
5.37/2.52	
5.37/2.52	     33: evalstartbb3in -> evalstartbb5in : F'=0, [ 0>=E && 0>=1+A ], cost: 1-2*A
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Removed unreachable locations (and leaf rules with constant cost):
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	     24: evalstartstart -> evalstartbb1in : A'=B, C'=D, [], cost: 8
5.37/2.52	
5.37/2.52	     31: evalstartstart -> evalstartbb1in : A'=-999*D+1000*B, C'=-999*D+1000*B, [ B>=1+D ], cost: 8-2*D+2*B
5.37/2.52	
5.37/2.52	      9: evalstartbb1in -> evalstartbb3in : E'=C, [ C>=A ], cost: 1
5.37/2.52	
5.37/2.52	     32: evalstartbb1in -> evalstartbb3in : E'=0, [ C>=A && C>=1 ], cost: 1+2*C
5.37/2.52	
5.37/2.52	     33: evalstartbb3in -> evalstartbb5in : F'=0, [ 0>=E && 0>=1+A ], cost: 1-2*A
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Eliminated locations (on tree-shaped paths):
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	     34: evalstartstart -> evalstartbb3in : A'=B, C'=D, E'=D, [ D>=B ], cost: 9
5.37/2.52	
5.37/2.52	     35: evalstartstart -> evalstartbb3in : A'=B, C'=D, E'=0, [ D>=B && D>=1 ], cost: 9+2*D
5.37/2.52	
5.37/2.52	     36: evalstartstart -> evalstartbb3in : A'=-999*D+1000*B, C'=-999*D+1000*B, E'=-999*D+1000*B, [ B>=1+D ], cost: 9-2*D+2*B
5.37/2.52	
5.37/2.52	     37: evalstartstart -> evalstartbb3in : A'=-999*D+1000*B, C'=-999*D+1000*B, E'=0, [ B>=1+D && -999*D+1000*B>=1 ], cost: 9-2000*D+2002*B
5.37/2.52	
5.37/2.52	     33: evalstartbb3in -> evalstartbb5in : F'=0, [ 0>=E && 0>=1+A ], cost: 1-2*A
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Eliminated locations (on tree-shaped paths):
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	     38: evalstartstart -> evalstartbb5in : A'=B, C'=D, E'=D, F'=0, [ D>=B && 0>=D && 0>=1+B ], cost: 10-2*B
5.37/2.52	
5.37/2.52	     39: evalstartstart -> evalstartbb5in : A'=B, C'=D, E'=0, F'=0, [ D>=B && D>=1 && 0>=1+B ], cost: 10+2*D-2*B
5.37/2.52	
5.37/2.52	     40: evalstartstart -> evalstartbb5in : A'=-999*D+1000*B, C'=-999*D+1000*B, E'=-999*D+1000*B, F'=0, [ B>=1+D && 0>=1-999*D+1000*B ], cost: 10+1996*D-1998*B
5.37/2.52	
5.37/2.52	     41: evalstartstart -> [19] : [ B>=1+D && -999*D+1000*B>=1 ], cost: 9-2000*D+2002*B
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	### Computing asymptotic complexity ###
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Fully simplified ITS problem
5.37/2.52	
5.37/2.52	   Start location: evalstartstart
5.37/2.52	
5.37/2.52	     38: evalstartstart -> evalstartbb5in : A'=B, C'=D, E'=D, F'=0, [ D>=B && 0>=D && 0>=1+B ], cost: 10-2*B
5.37/2.52	
5.37/2.52	     39: evalstartstart -> evalstartbb5in : A'=B, C'=D, E'=0, F'=0, [ D>=B && D>=1 && 0>=1+B ], cost: 10+2*D-2*B
5.37/2.52	
5.37/2.52	     40: evalstartstart -> evalstartbb5in : A'=-999*D+1000*B, C'=-999*D+1000*B, E'=-999*D+1000*B, F'=0, [ B>=1+D && 0>=1-999*D+1000*B ], cost: 10+1996*D-1998*B
5.37/2.52	
5.37/2.52	     41: evalstartstart -> [19] : [ B>=1+D && -999*D+1000*B>=1 ], cost: 9-2000*D+2002*B
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Computing asymptotic complexity for rule 38
5.37/2.52	
5.37/2.52	   Solved the limit problem by the following transformations:
5.37/2.52	
5.37/2.52	      Created initial limit problem:
5.37/2.52	
5.37/2.52	      1+D-B (+/+!), 1-D (+/+!), -B (+/+!), 10-2*B (+) [not solved]
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	      applying transformation rule (C) using substitution {D==B}
5.37/2.52	
5.37/2.52	      resulting limit problem:
5.37/2.52	
5.37/2.52	      1 (+/+!), -B (+/+!), 10-2*B (+), 1-B (+/+!) [not solved]
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	      applying transformation rule (C) using substitution {D==0}
5.37/2.52	
5.37/2.52	      resulting limit problem:
5.37/2.52	
5.37/2.52	      1 (+/+!), -B (+/+!), 10-2*B (+), 1-B (+/+!) [not solved]
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	      applying transformation rule (B), deleting 1 (+/+!)
5.37/2.52	
5.37/2.52	      resulting limit problem:
5.37/2.52	
5.37/2.52	      -B (+/+!), 10-2*B (+), 1-B (+/+!) [not solved]
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	      removing all constraints (solved by SMT)
5.37/2.52	
5.37/2.52	      resulting limit problem: [solved]
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	      applying transformation rule (C) using substitution {B==-n}
5.37/2.52	
5.37/2.52	      resulting limit problem:
5.37/2.52	
5.37/2.52	      [solved]
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	   Solution:
5.37/2.52	
5.37/2.52	      D / -n
5.37/2.52	
5.37/2.52	      B / -n
5.37/2.52	
5.37/2.52	   Resulting cost 10+2*n has complexity: Poly(n^1)
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Found new complexity Poly(n^1).
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	Obtained the following overall complexity (w.r.t. the length of the input n):
5.37/2.52	
5.37/2.52	   Complexity:  Poly(n^1)
5.37/2.52	
5.37/2.52	   Cpx degree:  1
5.37/2.52	
5.37/2.52	   Solved cost: 10+2*n
5.37/2.52	
5.37/2.52	   Rule cost:   10-2*B
5.37/2.52	
5.37/2.52	   Rule guard:  [ D>=B && 0>=D && 0>=1+B ]
5.37/2.52	
5.37/2.52	
5.37/2.52	
5.37/2.52	WORST_CASE(Omega(n^1),?)
5.37/2.52	
5.37/2.52	
5.37/2.52	----------------------------------------
5.37/2.52	
5.37/2.52	(4)
5.37/2.52	BOUNDS(n^1, INF)
5.55/2.54	EOF