2.74/1.71	WORST_CASE(?, O(n^1))
2.74/1.72	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.74/1.72	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.74/1.72	
2.74/1.72	
2.74/1.72	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.74/1.72	
2.74/1.72	(0) CpxIntTrs
2.74/1.72	(1) Koat Proof [FINISHED, 481 ms]
2.74/1.72	(2) BOUNDS(1, n^1)
2.74/1.72	
2.74/1.72	
2.74/1.72	----------------------------------------
2.74/1.72	
2.74/1.72	(0)
2.74/1.72	Obligation:
2.74/1.72	Complexity Int TRS consisting of the following rules:
2.74/1.72	eval_speed_popl10_nested_single_start(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb0_in(v_3, v_n, v_x.0, v_x.1)) :|: TRUE
2.74/1.72	eval_speed_popl10_nested_single_bb0_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb1_in(v_3, v_n, 0, v_x.1)) :|: TRUE
2.74/1.72	eval_speed_popl10_nested_single_bb1_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb2_in(v_3, v_n, v_x.0, v_x.1)) :|: v_x.0 < v_n
2.74/1.72	eval_speed_popl10_nested_single_bb1_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb6_in(v_3, v_n, v_x.0, v_x.1)) :|: v_x.0 >= v_n
2.74/1.72	eval_speed_popl10_nested_single_bb2_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb3_in(v_3, v_n, v_x.0, v_x.0 + 1)) :|: TRUE
2.74/1.72	eval_speed_popl10_nested_single_bb3_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb4_in(v_3, v_n, v_x.0, v_x.1)) :|: v_x.1 < v_n
2.74/1.72	eval_speed_popl10_nested_single_bb3_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb1_in(v_3, v_n, v_x.1, v_x.1)) :|: v_x.1 >= v_n
2.74/1.72	eval_speed_popl10_nested_single_bb4_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_2(v_3, v_n, v_x.0, v_x.1)) :|: TRUE
2.74/1.72	eval_speed_popl10_nested_single_2(v_3, v_n, v_x.0, v_x.1) -> Com_2(eval_nondet_start(v_3, v_n, v_x.0, v_x.1), eval_speed_popl10_nested_single_3(nondef.0, v_n, v_x.0, v_x.1)) :|: TRUE
2.74/1.72	eval_speed_popl10_nested_single_3(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb1_in(v_3, v_n, v_x.1, v_x.1)) :|: v_3 > 0
2.74/1.72	eval_speed_popl10_nested_single_3(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb5_in(v_3, v_n, v_x.0, v_x.1)) :|: v_3 <= 0
2.74/1.72	eval_speed_popl10_nested_single_bb5_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_bb3_in(v_3, v_n, v_x.0, v_x.1 + 1)) :|: TRUE
2.74/1.72	eval_speed_popl10_nested_single_bb6_in(v_3, v_n, v_x.0, v_x.1) -> Com_1(eval_speed_popl10_nested_single_stop(v_3, v_n, v_x.0, v_x.1)) :|: TRUE
2.74/1.72	
2.74/1.72	The start-symbols are:[eval_speed_popl10_nested_single_start_4]
2.74/1.72	
2.74/1.72	
2.74/1.72	----------------------------------------
2.74/1.72	
2.74/1.72	(1) Koat Proof (FINISHED)
2.74/1.72	YES(?, 88*ar_1 + 6)
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	Initial complexity problem:
2.74/1.72	
2.74/1.72	1:	T:
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_0 + 1, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_4, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, f))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.74/1.72	
2.74/1.72		start location:	koat_start
2.74/1.72	
2.74/1.72		leaf cost:	0
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.74/1.72	
2.74/1.72	2:	T:
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)    evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)    evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_0 + 1, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_4, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, f))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.74/1.72	
2.74/1.72		start location:	koat_start
2.74/1.72	
2.74/1.72		leaf cost:	0
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	A polynomial rank function with
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglestart) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb0in) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb1in) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb2in) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb6in) = 1
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb3in) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb4in) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle2) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle20) = 0
2.74/1.72	
2.74/1.72		Pol(evalnondetstart) = 0
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle21) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle3) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb5in) = 2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglestop) = 0
2.74/1.72	
2.74/1.72		Pol(koat_start) = 2
2.74/1.72	
2.74/1.72	orients all transitions weakly and the transitions
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.74/1.72	
2.74/1.72	strictly and produces the following problem:
2.74/1.72	
2.74/1.72	3:	T:
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)    evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)    evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: 2, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_0 + 1, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_2 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_4, ar_4))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, f))
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 2, Cost: 1)    evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.74/1.72	
2.74/1.72		start location:	koat_start
2.74/1.72	
2.74/1.72		leaf cost:	0
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsingle2: X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsingle20: X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsingle21: X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsingle3: X_4 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsinglebb1in: X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsinglebb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsinglebb3in: X_2 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsinglebb4in: X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsinglebb5in: -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ -X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ -X_4 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_1 - X_4 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 2 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	  For symbol evalspeedpopl10nestedsinglebb6in: X_1 - X_2 >= 0 /\ X_1 >= 0
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	This yielded the following problem:
2.74/1.72	
2.74/1.72	4:	T:
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 2, Cost: 1)    evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsingle20(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 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_2 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_0 + 1, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 2, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: ?, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)    evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)    evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72		start location:	koat_start
2.74/1.72	
2.74/1.72		leaf cost:	0
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	A polynomial rank function with
2.74/1.72	
2.74/1.72		Pol(koat_start) = 8*V_2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglestart) = 8*V_2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb6in) = -8*V_1 + 8*V_2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglestop) = -8*V_1 + 8*V_2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb5in) = 8*V_2 - 8*V_3 - 1
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb3in) = 8*V_2 - 8*V_3 + 6
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle3) = 8*V_2 - 8*V_3 + 1
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb1in) = -8*V_1 + 8*V_2
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle2) = 8*V_2 - 8*V_3 + 4
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle20) = 1
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsingle21) = 8*V_2 - 8*V_3 + 2
2.74/1.72	
2.74/1.72		Pol(evalnondetstart) = 0
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb4in) = 8*V_2 - 8*V_3 + 5
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb2in) = -8*V_1 + 8*V_2 - 1
2.74/1.72	
2.74/1.72		Pol(evalspeedpopl10nestedsinglebb0in) = 8*V_2
2.74/1.72	
2.74/1.72	orients all transitions weakly and the transitions
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_2 + 1 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_1 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_0 + 1, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsingle20(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 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72		evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72	strictly and produces the following problem:
2.74/1.72	
2.74/1.72	5:	T:
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 2, Cost: 1)         evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglestop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpopl10nestedsingle20(ar_0, ar_1, ar_2, ar_3, f), evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsingle21(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle3(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsingle20(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 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsingle2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 2 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_1 >= ar_2 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb3in(ar_0, ar_1, ar_0 + 1, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.74/1.72	
2.74/1.72			(Comp: 2, Cost: 1)         evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 ]
2.74/1.72	
2.74/1.72			(Comp: 8*ar_1, Cost: 1)    evalspeedpopl10nestedsinglebb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)         evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb1in(0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72			(Comp: 1, Cost: 1)         evalspeedpopl10nestedsinglestart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpopl10nestedsinglebb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.74/1.72	
2.74/1.72		start location:	koat_start
2.74/1.72	
2.74/1.72		leaf cost:	0
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	Complexity upper bound 88*ar_1 + 6
2.74/1.72	
2.74/1.72	
2.74/1.72	
2.74/1.72	Time: 0.495 sec (SMT: 0.388 sec)
2.74/1.72	
2.74/1.72	
2.74/1.72	----------------------------------------
2.74/1.72	
2.74/1.72	(2)
2.74/1.72	BOUNDS(1, n^1)
2.74/1.74	EOF