2.17/1.64	WORST_CASE(?, O(n^1))
2.17/1.65	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.17/1.65	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.17/1.65	
2.17/1.65	
2.17/1.65	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.17/1.65	
2.17/1.65	(0) CpxIntTrs
2.17/1.65	(1) Koat Proof [FINISHED, 481 ms]
2.17/1.65	(2) BOUNDS(1, n^1)
2.17/1.65	
2.17/1.65	
2.17/1.65	----------------------------------------
2.17/1.65	
2.17/1.65	(0)
2.17/1.65	Obligation:
2.17/1.65	Complexity Int TRS consisting of the following rules:
2.17/1.65	eval_speed_popl10_sequential_single_start(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb0_in(v_1, v_n, v_x.0, v_x.1)) :|: TRUE
2.17/1.65	eval_speed_popl10_sequential_single_bb0_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb1_in(v_1, v_n, 0, v_x.1)) :|: TRUE
2.17/1.65	eval_speed_popl10_sequential_single_bb1_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb2_in(v_1, v_n, v_x.0, v_x.1)) :|: v_x.0 < v_n
2.17/1.65	eval_speed_popl10_sequential_single_bb1_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb4_in(v_1, v_n, v_x.0, v_x.0)) :|: v_x.0 >= v_n
2.17/1.65	eval_speed_popl10_sequential_single_bb2_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_0(v_1, v_n, v_x.0, v_x.1)) :|: TRUE
2.17/1.65	eval_speed_popl10_sequential_single_0(v_1, v_n, v_x.0, v_x.1) -> Com_2(eval_nondet_start(v_1, v_n, v_x.0, v_x.1), eval_speed_popl10_sequential_single_1(nondef.0, v_n, v_x.0, v_x.1)) :|: TRUE
2.17/1.65	eval_speed_popl10_sequential_single_1(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb4_in(v_1, v_n, v_x.0, v_x.0)) :|: v_1 > 0
2.17/1.65	eval_speed_popl10_sequential_single_1(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb3_in(v_1, v_n, v_x.0, v_x.1)) :|: v_1 <= 0
2.17/1.65	eval_speed_popl10_sequential_single_bb3_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb1_in(v_1, v_n, v_x.0 + 1, v_x.1)) :|: TRUE
2.17/1.65	eval_speed_popl10_sequential_single_bb4_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb5_in(v_1, v_n, v_x.0, v_x.1)) :|: v_x.1 < v_n
2.17/1.65	eval_speed_popl10_sequential_single_bb4_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb6_in(v_1, v_n, v_x.0, v_x.1)) :|: v_x.1 >= v_n
2.17/1.65	eval_speed_popl10_sequential_single_bb5_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_bb4_in(v_1, v_n, v_x.0, v_x.1 + 1)) :|: TRUE
2.17/1.65	eval_speed_popl10_sequential_single_bb6_in(v_1, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_sequential_single_stop(v_1, v_n, v_x.0, v_x.1)) :|: TRUE
2.17/1.65	
2.17/1.65	The start-symbols are:[eval_speed_popl10_sequential_single_start_4]
2.17/1.65	
2.17/1.65	
2.17/1.65	----------------------------------------
2.17/1.65	
2.17/1.65	(1) Koat Proof (FINISHED)
2.17/1.65	YES(?, 63*ar_1 + 14)
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	Initial complexity problem:
2.17/1.65	
2.17/1.65	1:	T:
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_4, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, f))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_3 >= 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.17/1.65	
2.17/1.65		start location:	koat_start
2.17/1.65	
2.17/1.65		leaf cost:	0
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.17/1.65	
2.17/1.65	2:	T:
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)    evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)    evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_4, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, f))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_3 >= 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.17/1.65	
2.17/1.65		start location:	koat_start
2.17/1.65	
2.17/1.65		leaf cost:	0
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	A polynomial rank function with
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglestart) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb0in) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb1in) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb2in) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb4in) = 2
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle0) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle00) = 0
2.17/1.65	
2.17/1.65		Pol(evalnondetstart) = 0
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle01) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle1) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb3in) = 3
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb5in) = 2
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb6in) = 1
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglestop) = 0
2.17/1.65	
2.17/1.65		Pol(koat_start) = 3
2.17/1.65	
2.17/1.65	orients all transitions weakly and the transitions
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_3 >= 1 ]
2.17/1.65	
2.17/1.65	strictly and produces the following problem:
2.17/1.65	
2.17/1.65	3:	T:
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)    evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)    evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_4, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, f))
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_3 >= 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.17/1.65	
2.17/1.65		start location:	koat_start
2.17/1.65	
2.17/1.65		leaf cost:	0
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsingle0: X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsingle00: X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsingle01: X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsingle1: X_4 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsinglebb1in: X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsinglebb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsinglebb3in: -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ -X_4 - X_5 >= 0 /\ X_2 - X_5 - 1 >= 0 /\ X_1 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ -X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsinglebb4in: X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsinglebb5in: X_2 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	  For symbol evalspeedpopl10sequentialsinglebb6in: X_3 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 >= 0 /\ -X_1 + X_3 >= 0 /\ X_1 >= 0
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	This yielded the following problem:
2.17/1.65	
2.17/1.65	4:	T:
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_2 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: ?, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)    evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)    evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65		start location:	koat_start
2.17/1.65	
2.17/1.65		leaf cost:	0
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	A polynomial rank function with
2.17/1.65	
2.17/1.65		Pol(koat_start) = 7*V_2
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglestart) = 7*V_2
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb6in) = -5*V_1 + 7*V_2 - 2*V_3 - 5
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglestop) = -5*V_1 + 7*V_2 - 2*V_3 - 5
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb5in) = -5*V_1 + 7*V_2 - 2*V_3 - 6
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb4in) = -5*V_1 + 7*V_2 - 2*V_3 - 5
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb3in) = -7*V_1 + 7*V_2 - 6
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb1in) = -7*V_1 + 7*V_2
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle1) = -7*V_1 + 7*V_2 - 5
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle0) = -7*V_1 + 7*V_2 - 2
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle00) = 1
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsingle01) = -7*V_1 + 7*V_2 - 4
2.17/1.65	
2.17/1.65		Pol(evalnondetstart) = 0
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb2in) = -7*V_1 + 7*V_2 - 1
2.17/1.65	
2.17/1.65		Pol(evalspeedpopl10sequentialsinglebb0in) = 7*V_2
2.17/1.65	
2.17/1.65	orients all transitions weakly and the transitions
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_2 + 1 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65		evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65	strictly and produces the following problem:
2.17/1.65	
2.17/1.65	5:	T:
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)         evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)         evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 0 /\ ar_0 + ar_2 >= 0 /\ -ar_0 + ar_2 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_2 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(ar_0 + 1, ar_1, ar_2, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_1 - ar_4 - 1 >= 0 /\ ar_0 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)         evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsingle01(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle1(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsingle00(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsingle0(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.17/1.65	
2.17/1.65			(Comp: 3, Cost: 1)         evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb4in(ar_0, ar_1, ar_0, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 ]
2.17/1.65	
2.17/1.65			(Comp: 7*ar_1, Cost: 1)    evalspeedpopl10sequentialsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)         evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65			(Comp: 1, Cost: 1)         evalspeedpopl10sequentialsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10sequentialsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.17/1.65	
2.17/1.65		start location:	koat_start
2.17/1.65	
2.17/1.65		leaf cost:	0
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	Complexity upper bound 63*ar_1 + 14
2.17/1.65	
2.17/1.65	
2.17/1.65	
2.17/1.65	Time: 0.437 sec (SMT: 0.352 sec)
2.17/1.65	
2.17/1.65	
2.17/1.65	----------------------------------------
2.17/1.65	
2.17/1.65	(2)
2.17/1.65	BOUNDS(1, n^1)
2.17/1.67	EOF