5.86/2.74	WORST_CASE(Omega(n^1), O(n^1))
5.86/2.75	proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
5.86/2.75	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.86/2.75	
5.86/2.75	
5.86/2.75	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(n^1, n^1).
5.86/2.75	
5.86/2.75	(0) CpxIntTrs
5.86/2.75	(1) Koat Proof [FINISHED, 218 ms]
5.86/2.75	(2) BOUNDS(1, n^1)
5.86/2.75	(3) Loat Proof [FINISHED, 1115 ms]
5.86/2.75	(4) BOUNDS(n^1, INF)
5.86/2.75	
5.86/2.75	
5.86/2.75	----------------------------------------
5.86/2.75	
5.86/2.75	(0)
5.86/2.75	Obligation:
5.86/2.75	Complexity Int TRS consisting of the following rules:
5.86/2.75	evalfstart(A, B, C, D, E, F, G) -> Com_1(evalfentryin(A, B, C, D, E, F, G)) :|: TRUE
5.86/2.75	evalfentryin(A, B, C, D, E, F, G) -> Com_1(evalfbb5in(0, 0, 0, D, E, F, G)) :|: TRUE
5.86/2.75	evalfbb5in(A, B, C, D, E, F, G) -> Com_1(evalfreturnin(A, B, C, D, E, F, G)) :|: C >= D
5.86/2.75	evalfbb5in(A, B, C, D, E, F, G) -> Com_1(evalfbbin(A, B, C, D, C + 1, F, G)) :|: D >= C + 1
5.86/2.75	evalfbbin(A, B, C, D, E, F, G) -> Com_1(evalfbb1in(A, B, C, D, E, B, G)) :|: 0 >= H + 1
5.86/2.75	evalfbbin(A, B, C, D, E, F, G) -> Com_1(evalfbb1in(A, B, C, D, E, B, G)) :|: H >= 1
5.86/2.75	evalfbbin(A, B, C, D, E, F, G) -> Com_1(evalfbb3in(A, B, C, D, E, A, G)) :|: TRUE
5.86/2.75	evalfbb1in(A, B, C, D, E, F, G) -> Com_1(evalfbb5in(A, F + 1, E, D, E, F, G)) :|: F >= G
5.86/2.75	evalfbb1in(A, B, C, D, E, F, G) -> Com_1(evalfbb1in(A, B, C, D, E, F + 1, G)) :|: G >= F + 1
5.86/2.75	evalfbb3in(A, B, C, D, E, F, G) -> Com_1(evalfbb5in(F + 1, B, E, D, E, F, G)) :|: F >= G
5.86/2.75	evalfbb3in(A, B, C, D, E, F, G) -> Com_1(evalfbb3in(A, B, C, D, E, F + 1, G)) :|: G >= F + 1
5.86/2.75	evalfreturnin(A, B, C, D, E, F, G) -> Com_1(evalfstop(A, B, C, D, E, F, G)) :|: TRUE
5.86/2.75	
5.86/2.75	The start-symbols are:[evalfstart_7]
5.86/2.75	
5.86/2.75	
5.86/2.75	----------------------------------------
5.86/2.75	
5.86/2.75	(1) Koat Proof (FINISHED)
5.86/2.75	YES(?, 10*ar_3 + 2*ar_6 + 6)
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Initial complexity problem:
5.86/2.75	
5.86/2.75	1:	T:
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Repeatedly propagating knowledge in problem 1 produces the following problem:
5.86/2.75	
5.86/2.75	2:	T:
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)    evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)    evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	A polynomial rank function with
5.86/2.75	
5.86/2.75		Pol(evalfstart) = 2
5.86/2.75	
5.86/2.75		Pol(evalfentryin) = 2
5.86/2.75	
5.86/2.75		Pol(evalfbb5in) = 2
5.86/2.75	
5.86/2.75		Pol(evalfreturnin) = 1
5.86/2.75	
5.86/2.75		Pol(evalfbbin) = 2
5.86/2.75	
5.86/2.75		Pol(evalfbb1in) = 2
5.86/2.75	
5.86/2.75		Pol(evalfbb3in) = 2
5.86/2.75	
5.86/2.75		Pol(evalfstop) = 0
5.86/2.75	
5.86/2.75		Pol(koat_start) = 2
5.86/2.75	
5.86/2.75	orients all transitions weakly and the transitions
5.86/2.75	
5.86/2.75		evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75		evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75	strictly and produces the following problem:
5.86/2.75	
5.86/2.75	3:	T:
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)    evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)    evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)    evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	A polynomial rank function with
5.86/2.75	
5.86/2.75		Pol(evalfstart) = V_4
5.86/2.75	
5.86/2.75		Pol(evalfentryin) = V_4
5.86/2.75	
5.86/2.75		Pol(evalfbb5in) = -V_3 + V_4
5.86/2.75	
5.86/2.75		Pol(evalfreturnin) = -V_3 + V_4
5.86/2.75	
5.86/2.75		Pol(evalfbbin) = V_4 - V_5
5.86/2.75	
5.86/2.75		Pol(evalfbb1in) = V_4 - V_5
5.86/2.75	
5.86/2.75		Pol(evalfbb3in) = V_4 - V_5
5.86/2.75	
5.86/2.75		Pol(evalfstop) = -V_3 + V_4
5.86/2.75	
5.86/2.75		Pol(koat_start) = V_4
5.86/2.75	
5.86/2.75	orients all transitions weakly and the transition
5.86/2.75	
5.86/2.75		evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75	strictly and produces the following problem:
5.86/2.75	
5.86/2.75	4:	T:
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)       evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)       evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)       evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)       evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Repeatedly propagating knowledge in problem 4 produces the following problem:
5.86/2.75	
5.86/2.75	5:	T:
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)       evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)       evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)       evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)    evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)    evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)       evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)       evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	A polynomial rank function with
5.86/2.75	
5.86/2.75		Pol(evalfbb3in) = 1
5.86/2.75	
5.86/2.75		Pol(evalfbb5in) = 0
5.86/2.75	
5.86/2.75		Pol(evalfbb1in) = 1
5.86/2.75	
5.86/2.75	and size complexities
5.86/2.75	
5.86/2.75		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-0) = ar_0
5.86/2.75	
5.86/2.75		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-1) = ar_1
5.86/2.75	
5.86/2.75		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-2) = ar_2
5.86/2.75	
5.86/2.75		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-4) = ar_4
5.86/2.75	
5.86/2.75		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-5) = ar_5
5.86/2.75	
5.86/2.75		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_3 + ar_4
5.86/2.75	
5.86/2.75		S("evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]", 0-4) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]", 0-0) = ?
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]", 0-1) = ?
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]", 0-2) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]", 0-4) = ar_3 + ar_4
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]", 0-5) = ?
5.86/2.75	
5.86/2.75		S("evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))", 0-0) = 0
5.86/2.75	
5.86/2.75		S("evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))", 0-1) = 0
5.86/2.75	
5.86/2.75		S("evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))", 0-2) = 0
5.86/2.75	
5.86/2.75		S("evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4
5.86/2.75	
5.86/2.75		S("evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5
5.86/2.75	
5.86/2.75		S("evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6
5.86/2.75	
5.86/2.75		S("evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-0) = ar_0
5.86/2.75	
5.86/2.75		S("evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-1) = ar_1
5.86/2.75	
5.86/2.75		S("evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-2) = ar_2
5.86/2.75	
5.86/2.75		S("evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-3) = ar_3
5.86/2.75	
5.86/2.75		S("evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-4) = ar_4
5.86/2.75	
5.86/2.75		S("evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-5) = ar_5
5.86/2.75	
5.86/2.75		S("evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))", 0-6) = ar_6
5.86/2.75	
5.86/2.75	orients the transitions
5.86/2.75	
5.86/2.75		evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75		evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75		evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75		evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75	weakly and the transitions
5.86/2.75	
5.86/2.75		evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75		evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75	strictly and produces the following problem:
5.86/2.75	
5.86/2.75	6:	T:
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)         evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)         evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)         evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 3*ar_3, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)         evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 3*ar_3, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)         evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)         evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	A polynomial rank function with
5.86/2.75	
5.86/2.75		Pol(evalfstart) = V_7
5.86/2.75	
5.86/2.75		Pol(evalfentryin) = V_7
5.86/2.75	
5.86/2.75		Pol(evalfbb5in) = -V_2 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfreturnin) = -V_2 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfbbin) = -V_2 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfbb1in) = -V_6 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfbb3in) = -V_2 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfstop) = -V_2 + V_7
5.86/2.75	
5.86/2.75		Pol(koat_start) = V_7
5.86/2.75	
5.86/2.75	orients all transitions weakly and the transition
5.86/2.75	
5.86/2.75		evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75	strictly and produces the following problem:
5.86/2.75	
5.86/2.75	7:	T:
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)         evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)         evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)         evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 3*ar_3, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ar_6, Cost: 1)      evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 3*ar_3, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ?, Cost: 1)         evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)         evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	A polynomial rank function with
5.86/2.75	
5.86/2.75		Pol(evalfstart) = V_7
5.86/2.75	
5.86/2.75		Pol(evalfentryin) = V_7
5.86/2.75	
5.86/2.75		Pol(evalfbb5in) = -V_1 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfreturnin) = -V_1 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfbbin) = -V_1 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfbb1in) = -V_1 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfbb3in) = -V_6 + V_7
5.86/2.75	
5.86/2.75		Pol(evalfstop) = -V_1 + V_7
5.86/2.75	
5.86/2.75		Pol(koat_start) = V_7
5.86/2.75	
5.86/2.75	orients all transitions weakly and the transition
5.86/2.75	
5.86/2.75		evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75	strictly and produces the following problem:
5.86/2.75	
5.86/2.75	8:	T:
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)         evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 1)         evalfentryin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(0, 0, 0, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)         evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ ar_2 >= ar_3 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_2 + 1, ar_5, ar_6)) [ ar_3 >= ar_2 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ 0 >= h + 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_1, ar_6)) [ h >= 1 ]
5.86/2.75	
5.86/2.75			(Comp: ar_3, Cost: 1)      evalfbbin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_0, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 3*ar_3, Cost: 1)    evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_0, ar_5 + 1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ar_6, Cost: 1)      evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 3*ar_3, Cost: 1)    evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb5in(ar_5 + 1, ar_1, ar_4, ar_3, ar_4, ar_5, ar_6)) [ ar_5 >= ar_6 ]
5.86/2.75	
5.86/2.75			(Comp: ar_6, Cost: 1)      evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1, ar_6)) [ ar_6 >= ar_5 + 1 ]
5.86/2.75	
5.86/2.75			(Comp: 2, Cost: 1)         evalfreturnin(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6))
5.86/2.75	
5.86/2.75			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(evalfstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
5.86/2.75	
5.86/2.75		start location:	koat_start
5.86/2.75	
5.86/2.75		leaf cost:	0
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Complexity upper bound 10*ar_3 + 2*ar_6 + 6
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Time: 0.257 sec (SMT: 0.184 sec)
5.86/2.75	
5.86/2.75	
5.86/2.75	----------------------------------------
5.86/2.75	
5.86/2.75	(2)
5.86/2.75	BOUNDS(1, n^1)
5.86/2.75	
5.86/2.75	----------------------------------------
5.86/2.75	
5.86/2.75	(3) Loat Proof (FINISHED)
5.86/2.75	
5.86/2.75	
5.86/2.75	### Pre-processing the ITS problem ###
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Initial linear ITS problem
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	      0: evalfstart -> evalfentryin : [], cost: 1
5.86/2.75	
5.86/2.75	      1: evalfentryin -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 1
5.86/2.75	
5.86/2.75	      2: evalfbb5in -> evalfreturnin : [ C>=D ], cost: 1
5.86/2.75	
5.86/2.75	      3: evalfbb5in -> evalfbbin : E'=1+C, [ D>=1+C ], cost: 1
5.86/2.75	
5.86/2.75	      4: evalfbbin -> evalfbb1in : F'=B, [ 0>=1+free ], cost: 1
5.86/2.75	
5.86/2.75	      5: evalfbbin -> evalfbb1in : F'=B, [ free_1>=1 ], cost: 1
5.86/2.75	
5.86/2.75	      6: evalfbbin -> evalfbb3in : F'=A, [], cost: 1
5.86/2.75	
5.86/2.75	      7: evalfbb1in -> evalfbb5in : B'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	      8: evalfbb1in -> evalfbb1in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	      9: evalfbb3in -> evalfbb5in : A'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	     10: evalfbb3in -> evalfbb3in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	     11: evalfreturnin -> evalfstop : [], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Removed unreachable and leaf rules:
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	      0: evalfstart -> evalfentryin : [], cost: 1
5.86/2.75	
5.86/2.75	      1: evalfentryin -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 1
5.86/2.75	
5.86/2.75	      3: evalfbb5in -> evalfbbin : E'=1+C, [ D>=1+C ], cost: 1
5.86/2.75	
5.86/2.75	      4: evalfbbin -> evalfbb1in : F'=B, [ 0>=1+free ], cost: 1
5.86/2.75	
5.86/2.75	      5: evalfbbin -> evalfbb1in : F'=B, [ free_1>=1 ], cost: 1
5.86/2.75	
5.86/2.75	      6: evalfbbin -> evalfbb3in : F'=A, [], cost: 1
5.86/2.75	
5.86/2.75	      7: evalfbb1in -> evalfbb5in : B'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	      8: evalfbb1in -> evalfbb1in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	      9: evalfbb3in -> evalfbb5in : A'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	     10: evalfbb3in -> evalfbb3in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Simplified all rules, resulting in:
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	      0: evalfstart -> evalfentryin : [], cost: 1
5.86/2.75	
5.86/2.75	      1: evalfentryin -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 1
5.86/2.75	
5.86/2.75	      3: evalfbb5in -> evalfbbin : E'=1+C, [ D>=1+C ], cost: 1
5.86/2.75	
5.86/2.75	      5: evalfbbin -> evalfbb1in : F'=B, [], cost: 1
5.86/2.75	
5.86/2.75	      6: evalfbbin -> evalfbb3in : F'=A, [], cost: 1
5.86/2.75	
5.86/2.75	      7: evalfbb1in -> evalfbb5in : B'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	      8: evalfbb1in -> evalfbb1in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	      9: evalfbb3in -> evalfbb5in : A'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	     10: evalfbb3in -> evalfbb3in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	### Simplification by acceleration and chaining ###
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Accelerating simple loops of location 4.
5.86/2.75	
5.86/2.75	   Accelerating the following rules:
5.86/2.75	
5.86/2.75	      8: evalfbb1in -> evalfbb1in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	   Accelerated rule 8 with metering function -F+G, yielding the new rule 12.
5.86/2.75	
5.86/2.75	   Removing the simple loops: 8.
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Accelerating simple loops of location 5.
5.86/2.75	
5.86/2.75	   Accelerating the following rules:
5.86/2.75	
5.86/2.75	     10: evalfbb3in -> evalfbb3in : F'=1+F, [ G>=1+F ], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	   Accelerated rule 10 with metering function -F+G, yielding the new rule 13.
5.86/2.75	
5.86/2.75	   Removing the simple loops: 10.
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Accelerated all simple loops using metering functions (where possible):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	      0: evalfstart -> evalfentryin : [], cost: 1
5.86/2.75	
5.86/2.75	      1: evalfentryin -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 1
5.86/2.75	
5.86/2.75	      3: evalfbb5in -> evalfbbin : E'=1+C, [ D>=1+C ], cost: 1
5.86/2.75	
5.86/2.75	      5: evalfbbin -> evalfbb1in : F'=B, [], cost: 1
5.86/2.75	
5.86/2.75	      6: evalfbbin -> evalfbb3in : F'=A, [], cost: 1
5.86/2.75	
5.86/2.75	      7: evalfbb1in -> evalfbb5in : B'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	     12: evalfbb1in -> evalfbb1in : F'=G, [ G>=1+F ], cost: -F+G
5.86/2.75	
5.86/2.75	      9: evalfbb3in -> evalfbb5in : A'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	     13: evalfbb3in -> evalfbb3in : F'=G, [ G>=1+F ], cost: -F+G
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Chained accelerated rules (with incoming rules):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	      0: evalfstart -> evalfentryin : [], cost: 1
5.86/2.75	
5.86/2.75	      1: evalfentryin -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 1
5.86/2.75	
5.86/2.75	      3: evalfbb5in -> evalfbbin : E'=1+C, [ D>=1+C ], cost: 1
5.86/2.75	
5.86/2.75	      5: evalfbbin -> evalfbb1in : F'=B, [], cost: 1
5.86/2.75	
5.86/2.75	      6: evalfbbin -> evalfbb3in : F'=A, [], cost: 1
5.86/2.75	
5.86/2.75	     14: evalfbbin -> evalfbb1in : F'=G, [ G>=1+B ], cost: 1+G-B
5.86/2.75	
5.86/2.75	     15: evalfbbin -> evalfbb3in : F'=G, [ G>=1+A ], cost: 1+G-A
5.86/2.75	
5.86/2.75	      7: evalfbb1in -> evalfbb5in : B'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	      9: evalfbb3in -> evalfbb5in : A'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Eliminated locations (on linear paths):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	     16: evalfstart -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 2
5.86/2.75	
5.86/2.75	      3: evalfbb5in -> evalfbbin : E'=1+C, [ D>=1+C ], cost: 1
5.86/2.75	
5.86/2.75	      5: evalfbbin -> evalfbb1in : F'=B, [], cost: 1
5.86/2.75	
5.86/2.75	      6: evalfbbin -> evalfbb3in : F'=A, [], cost: 1
5.86/2.75	
5.86/2.75	     14: evalfbbin -> evalfbb1in : F'=G, [ G>=1+B ], cost: 1+G-B
5.86/2.75	
5.86/2.75	     15: evalfbbin -> evalfbb3in : F'=G, [ G>=1+A ], cost: 1+G-A
5.86/2.75	
5.86/2.75	      7: evalfbb1in -> evalfbb5in : B'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	      9: evalfbb3in -> evalfbb5in : A'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Eliminated locations (on tree-shaped paths):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	     16: evalfstart -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 2
5.86/2.75	
5.86/2.75	     17: evalfbb5in -> evalfbb1in : E'=1+C, F'=B, [ D>=1+C ], cost: 2
5.86/2.75	
5.86/2.75	     18: evalfbb5in -> evalfbb3in : E'=1+C, F'=A, [ D>=1+C ], cost: 2
5.86/2.75	
5.86/2.75	     19: evalfbb5in -> evalfbb1in : E'=1+C, F'=G, [ D>=1+C && G>=1+B ], cost: 2+G-B
5.86/2.75	
5.86/2.75	     20: evalfbb5in -> evalfbb3in : E'=1+C, F'=G, [ D>=1+C && G>=1+A ], cost: 2+G-A
5.86/2.75	
5.86/2.75	      7: evalfbb1in -> evalfbb5in : B'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	      9: evalfbb3in -> evalfbb5in : A'=1+F, C'=E, [ F>=G ], cost: 1
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Eliminated locations (on tree-shaped paths):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	     16: evalfstart -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 2
5.86/2.75	
5.86/2.75	     21: evalfbb5in -> evalfbb5in : B'=1+B, C'=1+C, E'=1+C, F'=B, [ D>=1+C && B>=G ], cost: 3
5.86/2.75	
5.86/2.75	     22: evalfbb5in -> evalfbb5in : B'=1+G, C'=1+C, E'=1+C, F'=G, [ D>=1+C && G>=1+B ], cost: 3+G-B
5.86/2.75	
5.86/2.75	     23: evalfbb5in -> evalfbb5in : A'=1+A, C'=1+C, E'=1+C, F'=A, [ D>=1+C && A>=G ], cost: 3
5.86/2.75	
5.86/2.75	     24: evalfbb5in -> evalfbb5in : A'=1+G, C'=1+C, E'=1+C, F'=G, [ D>=1+C && G>=1+A ], cost: 3+G-A
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Accelerating simple loops of location 2.
5.86/2.75	
5.86/2.75	   Accelerating the following rules:
5.86/2.75	
5.86/2.75	     21: evalfbb5in -> evalfbb5in : B'=1+B, C'=1+C, E'=1+C, F'=B, [ D>=1+C && B>=G ], cost: 3
5.86/2.75	
5.86/2.75	     22: evalfbb5in -> evalfbb5in : B'=1+G, C'=1+C, E'=1+C, F'=G, [ D>=1+C && G>=1+B ], cost: 3+G-B
5.86/2.75	
5.86/2.75	     23: evalfbb5in -> evalfbb5in : A'=1+A, C'=1+C, E'=1+C, F'=A, [ D>=1+C && A>=G ], cost: 3
5.86/2.75	
5.86/2.75	     24: evalfbb5in -> evalfbb5in : A'=1+G, C'=1+C, E'=1+C, F'=G, [ D>=1+C && G>=1+A ], cost: 3+G-A
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	   Accelerated rule 21 with metering function -C+D, yielding the new rule 25.
5.86/2.75	
5.86/2.75	   Found no metering function for rule 22.
5.86/2.75	
5.86/2.75	   Accelerated rule 23 with metering function -C+D, yielding the new rule 26.
5.86/2.75	
5.86/2.75	   Found no metering function for rule 24.
5.86/2.75	
5.86/2.75	   Removing the simple loops: 21 23.
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Accelerated all simple loops using metering functions (where possible):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	     16: evalfstart -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 2
5.86/2.75	
5.86/2.75	     22: evalfbb5in -> evalfbb5in : B'=1+G, C'=1+C, E'=1+C, F'=G, [ D>=1+C && G>=1+B ], cost: 3+G-B
5.86/2.75	
5.86/2.75	     24: evalfbb5in -> evalfbb5in : A'=1+G, C'=1+C, E'=1+C, F'=G, [ D>=1+C && G>=1+A ], cost: 3+G-A
5.86/2.75	
5.86/2.75	     25: evalfbb5in -> evalfbb5in : B'=-C+D+B, C'=D, E'=D, F'=-1-C+D+B, [ D>=1+C && B>=G ], cost: -3*C+3*D
5.86/2.75	
5.86/2.75	     26: evalfbb5in -> evalfbb5in : A'=-C+D+A, C'=D, E'=D, F'=-1-C+D+A, [ D>=1+C && A>=G ], cost: -3*C+3*D
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Chained accelerated rules (with incoming rules):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	     16: evalfstart -> evalfbb5in : A'=0, B'=0, C'=0, [], cost: 2
5.86/2.75	
5.86/2.75	     27: evalfstart -> evalfbb5in : A'=0, B'=1+G, C'=1, E'=1, F'=G, [ D>=1 && G>=1 ], cost: 5+G
5.86/2.75	
5.86/2.75	     28: evalfstart -> evalfbb5in : A'=1+G, B'=0, C'=1, E'=1, F'=G, [ D>=1 && G>=1 ], cost: 5+G
5.86/2.75	
5.86/2.75	     29: evalfstart -> evalfbb5in : A'=0, B'=D, C'=D, E'=D, F'=-1+D, [ D>=1 && 0>=G ], cost: 2+3*D
5.86/2.75	
5.86/2.75	     30: evalfstart -> evalfbb5in : A'=D, B'=0, C'=D, E'=D, F'=-1+D, [ D>=1 && 0>=G ], cost: 2+3*D
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Removed unreachable locations (and leaf rules with constant cost):
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	     27: evalfstart -> evalfbb5in : A'=0, B'=1+G, C'=1, E'=1, F'=G, [ D>=1 && G>=1 ], cost: 5+G
5.86/2.75	
5.86/2.75	     28: evalfstart -> evalfbb5in : A'=1+G, B'=0, C'=1, E'=1, F'=G, [ D>=1 && G>=1 ], cost: 5+G
5.86/2.75	
5.86/2.75	     29: evalfstart -> evalfbb5in : A'=0, B'=D, C'=D, E'=D, F'=-1+D, [ D>=1 && 0>=G ], cost: 2+3*D
5.86/2.75	
5.86/2.75	     30: evalfstart -> evalfbb5in : A'=D, B'=0, C'=D, E'=D, F'=-1+D, [ D>=1 && 0>=G ], cost: 2+3*D
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	### Computing asymptotic complexity ###
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Fully simplified ITS problem
5.86/2.75	
5.86/2.75	   Start location: evalfstart
5.86/2.75	
5.86/2.75	     28: evalfstart -> evalfbb5in : A'=1+G, B'=0, C'=1, E'=1, F'=G, [ D>=1 && G>=1 ], cost: 5+G
5.86/2.75	
5.86/2.75	     30: evalfstart -> evalfbb5in : A'=D, B'=0, C'=D, E'=D, F'=-1+D, [ D>=1 && 0>=G ], cost: 2+3*D
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Computing asymptotic complexity for rule 28
5.86/2.75	
5.86/2.75	   Solved the limit problem by the following transformations:
5.86/2.75	
5.86/2.75	      Created initial limit problem:
5.86/2.75	
5.86/2.75	      5+G (+), G (+/+!), D (+/+!) [not solved]
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	      removing all constraints (solved by SMT)
5.86/2.75	
5.86/2.75	      resulting limit problem: [solved]
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	      applying transformation rule (C) using substitution {G==n,D==n}
5.86/2.75	
5.86/2.75	      resulting limit problem:
5.86/2.75	
5.86/2.75	      [solved]
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	   Solution:
5.86/2.75	
5.86/2.75	      G / n
5.86/2.75	
5.86/2.75	      D / n
5.86/2.75	
5.86/2.75	   Resulting cost 5+n has complexity: Poly(n^1)
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Found new complexity Poly(n^1).
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	Obtained the following overall complexity (w.r.t. the length of the input n):
5.86/2.75	
5.86/2.75	   Complexity:  Poly(n^1)
5.86/2.75	
5.86/2.75	   Cpx degree:  1
5.86/2.75	
5.86/2.75	   Solved cost: 5+n
5.86/2.75	
5.86/2.75	   Rule cost:   5+G
5.86/2.75	
5.86/2.75	   Rule guard:  [ D>=1 && G>=1 ]
5.86/2.75	
5.86/2.75	
5.86/2.75	
5.86/2.75	WORST_CASE(Omega(n^1),?)
5.86/2.75	
5.86/2.75	
5.86/2.75	----------------------------------------
5.86/2.75	
5.86/2.75	(4)
5.86/2.75	BOUNDS(n^1, INF)
6.02/2.79	EOF