3.20/1.59	WORST_CASE(?, O(1))
3.20/1.60	proof of /export/starexec/sandbox/benchmark/theBenchmark.koat
3.20/1.60	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.20/1.60	
3.20/1.60	
3.20/1.60	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, 1).
3.20/1.60	
3.20/1.60	(0) CpxIntTrs
3.20/1.60	(1) Koat Proof [FINISHED, 0 ms]
3.20/1.60	(2) BOUNDS(1, 1)
3.20/1.60	
3.20/1.60	
3.20/1.60	----------------------------------------
3.20/1.60	
3.20/1.60	(0)
3.20/1.60	Obligation:
3.20/1.60	Complexity Int TRS consisting of the following rules:
3.20/1.60	f0(A, B, C) -> Com_1(f11(0, 1, E)) :|: 99 >= D
3.20/1.60	f0(A, B, C) -> Com_1(f11(0, 1, E)) :|: TRUE
3.20/1.60	
3.20/1.60	The start-symbols are:[f0_3]
3.20/1.60	
3.20/1.60	
3.20/1.60	----------------------------------------
3.20/1.60	
3.20/1.60	(1) Koat Proof (FINISHED)
3.20/1.60	YES(?, 2)
3.20/1.60	
3.20/1.60	
3.20/1.60	
3.20/1.60	Initial complexity problem:
3.20/1.60	
3.20/1.60	1:	T:
3.20/1.60	
3.20/1.60			(Comp: ?, Cost: 1)    f0(ar_0, ar_1, ar_2) -> Com_1(f11(0, 1, e)) [ 99 >= d ]
3.20/1.60	
3.20/1.60			(Comp: ?, Cost: 1)    f0(ar_0, ar_1, ar_2) -> Com_1(f11(0, 1, e))
3.20/1.60	
3.20/1.60			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2) -> Com_1(f0(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
3.20/1.60	
3.20/1.60		start location:	koat_start
3.20/1.60	
3.20/1.60		leaf cost:	0
3.20/1.60	
3.20/1.60	
3.20/1.60	
3.20/1.60	Repeatedly propagating knowledge in problem 1 produces the following problem:
3.20/1.60	
3.20/1.60	2:	T:
3.20/1.60	
3.20/1.60			(Comp: 1, Cost: 1)    f0(ar_0, ar_1, ar_2) -> Com_1(f11(0, 1, e)) [ 99 >= d ]
3.20/1.60	
3.20/1.60			(Comp: 1, Cost: 1)    f0(ar_0, ar_1, ar_2) -> Com_1(f11(0, 1, e))
3.20/1.60	
3.20/1.60			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2) -> Com_1(f0(ar_0, ar_1, ar_2)) [ 0 <= 0 ]
3.20/1.60	
3.20/1.60		start location:	koat_start
3.20/1.60	
3.20/1.60		leaf cost:	0
3.20/1.60	
3.20/1.60	
3.20/1.60	
3.20/1.60	Complexity upper bound 2
3.20/1.60	
3.20/1.60	
3.20/1.60	
3.20/1.60	Time: 0.011 sec (SMT: 0.011 sec)
3.20/1.60	
3.20/1.60	
3.20/1.60	----------------------------------------
3.20/1.60	
3.20/1.60	(2)
3.20/1.60	BOUNDS(1, 1)
3.27/1.62	EOF