2.08/1.71	WORST_CASE(?, O(n^1))
2.08/1.72	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.08/1.72	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.08/1.72	
2.08/1.72	
2.08/1.72	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.08/1.72	
2.08/1.72	(0) CpxIntTrs
2.08/1.72	(1) Koat Proof [FINISHED, 489 ms]
2.08/1.72	(2) BOUNDS(1, n^1)
2.08/1.72	
2.08/1.72	
2.08/1.72	----------------------------------------
2.08/1.72	
2.08/1.72	(0)
2.08/1.72	Obligation:
2.08/1.72	Complexity Int TRS consisting of the following rules:
2.08/1.72	eval_complex_start(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb0_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b)) :|: TRUE
2.08/1.72	eval_complex_bb0_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb1_in(v_a, v_b, v_.1, v_.12, v_a, v_b)) :|: TRUE
2.08/1.72	eval_complex_bb1_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb2_in(v_.0, v_.01, v_.0, v_.01, v_a, v_b)) :|: v_.0 < 30
2.08/1.72	eval_complex_bb1_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb5_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b)) :|: v_.0 >= 30
2.08/1.72	eval_complex_bb2_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb3_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b)) :|: v_.12 < v_.1
2.08/1.72	eval_complex_bb2_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb4_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b)) :|: v_.12 >= v_.1
2.08/1.72	eval_complex_bb3_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb2_in(v_.0, v_.01, v_.1 + 10, v_.12 + 7, v_a, v_b)) :|: v_.12 > 5 && v_.12 + 7 >= 10 && v_.12 + 7 <= 12
2.08/1.72	eval_complex_bb3_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb2_in(v_.0, v_.01, v_.1 + 1, v_.12 + 7, v_a, v_b)) :|: v_.12 > 5 && v_.12 + 7 < 10
2.08/1.72	eval_complex_bb3_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb2_in(v_.0, v_.01, v_.1 + 1, v_.12 + 7, v_a, v_b)) :|: v_.12 > 5 && v_.12 + 7 > 12
2.08/1.72	eval_complex_bb3_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb2_in(v_.0, v_.01, v_.1 + 10, v_.12 + 2, v_a, v_b)) :|: v_.12 <= 5 && v_.12 + 2 >= 10 && v_.12 + 2 <= 12
2.08/1.72	eval_complex_bb3_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb2_in(v_.0, v_.01, v_.1 + 1, v_.12 + 2, v_a, v_b)) :|: v_.12 <= 5 && v_.12 + 2 < 10
2.08/1.72	eval_complex_bb3_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb2_in(v_.0, v_.01, v_.1 + 1, v_.12 + 2, v_a, v_b)) :|: v_.12 <= 5 && v_.12 + 2 > 12
2.08/1.72	eval_complex_bb4_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_bb1_in(v_.1 + 2, v_.12 - 10, v_.1, v_.12, v_a, v_b)) :|: TRUE
2.08/1.72	eval_complex_bb5_in(v_.0, v_.01, v_.1, v_.12, v_a, v_b) -> Com_1(eval_complex_stop(v_.0, v_.01, v_.1, v_.12, v_a, v_b)) :|: TRUE
2.08/1.72	
2.08/1.72	The start-symbols are:[eval_complex_start_6]
2.08/1.72	
2.08/1.72	
2.08/1.72	----------------------------------------
2.08/1.72	
2.08/1.72	(1) Koat Proof (FINISHED)
2.08/1.72	YES(?, 35*ar_1 + 6*ar_3 + 1200)
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	Initial complexity problem:
2.08/1.72	
2.08/1.72	1:	T:
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 7)) [ ar_5 >= 6 /\ ar_5 >= 3 /\ 5 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 /\ 2 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 2)) [ 5 >= ar_5 /\ ar_5 >= 8 /\ 10 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ ar_5 >= 11 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	Testing for reachability in the complexity graph removes the following transitions from problem 1:
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 7)) [ ar_5 >= 6 /\ ar_5 >= 3 /\ 5 >= ar_5 ]
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 /\ 2 >= ar_5 ]
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 10, ar_5 + 2)) [ 5 >= ar_5 /\ ar_5 >= 8 /\ 10 >= ar_5 ]
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ ar_5 >= 11 ]
2.08/1.72	
2.08/1.72	We thus obtain the following problem:
2.08/1.72	
2.08/1.72	2:	T:
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	Repeatedly propagating knowledge in problem 2 produces the following problem:
2.08/1.72	
2.08/1.72	3:	T:
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)    evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)    evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	A polynomial rank function with
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb4in) = 2
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb1in) = 2
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb3in) = 2
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb2in) = 2
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb5in) = 1
2.08/1.72	
2.08/1.72		Pol(evalcomplexstop) = 0
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb0in) = 2
2.08/1.72	
2.08/1.72		Pol(evalcomplexstart) = 2
2.08/1.72	
2.08/1.72		Pol(koat_start) = 2
2.08/1.72	
2.08/1.72	orients all transitions weakly and the transitions
2.08/1.72	
2.08/1.72		evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72		evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72	strictly and produces the following problem:
2.08/1.72	
2.08/1.72	4:	T:
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)    evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)    evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)    evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	A polynomial rank function with
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb4in) = -V_5 + 28
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb1in) = -V_1 + 30
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb3in) = -V_5 + 28
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb2in) = -V_5 + 28
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb5in) = -V_1
2.08/1.72	
2.08/1.72		Pol(evalcomplexstop) = -V_1
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb0in) = -V_2 + 30
2.08/1.72	
2.08/1.72		Pol(evalcomplexstart) = -V_2 + 30
2.08/1.72	
2.08/1.72		Pol(koat_start) = -V_2 + 30
2.08/1.72	
2.08/1.72	orients all transitions weakly and the transition
2.08/1.72	
2.08/1.72		evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72	strictly and produces the following problem:
2.08/1.72	
2.08/1.72	5:	T:
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)            evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)            evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)            evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)            evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)            evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)            evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)            evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: ar_1 + 30, Cost: 1)    evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)            evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)            evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)            koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	A polynomial rank function with
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb4in) = 1
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb1in) = 0
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb3in) = 2
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb2in) = 2
2.08/1.72	
2.08/1.72	and size complexities
2.08/1.72	
2.08/1.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
2.08/1.72	
2.08/1.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
2.08/1.72	
2.08/1.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
2.08/1.72	
2.08/1.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
2.08/1.72	
2.08/1.72		S("evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
2.08/1.72	
2.08/1.72		S("evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.08/1.72	
2.08/1.72		S("evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.08/1.72	
2.08/1.72		S("evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.08/1.72	
2.08/1.72		S("evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-0) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-2) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.08/1.72	
2.08/1.72		S("evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]", 0-5) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]", 0-5) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]", 0-5) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]", 0-5) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]", 0-5) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\\ 7 >= ar_5 ]", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\\ 7 >= ar_5 ]", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\\ 7 >= ar_5 ]", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\\ 7 >= ar_5 ]", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\\ 7 >= ar_5 ]", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\\ 7 >= ar_5 ]", 0-5) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))", 0-0) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.08/1.72	
2.08/1.72		S("evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))", 0-2) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.08/1.72	
2.08/1.72		S("evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))", 0-4) = ?
2.08/1.72	
2.08/1.72		S("evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))", 0-5) = ?
2.08/1.72	
2.08/1.72	orients the transitions
2.08/1.72	
2.08/1.72		evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72		evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72		evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72	weakly and the transitions
2.08/1.72	
2.08/1.72		evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72		evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72	strictly and produces the following problem:
2.08/1.72	
2.08/1.72	6:	T:
2.08/1.72	
2.08/1.72			(Comp: 2*ar_1 + 60, Cost: 1)    evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)              evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)              evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)              evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 2*ar_1 + 60, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)              evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)              evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: ar_1 + 30, Cost: 1)      evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)              evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)              evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	Applied AI with 'oct' on problem 6 to obtain the following invariants:
2.08/1.72	
2.08/1.72	  For symbol evalcomplexbb1in: X_1 - X_2 >= 0
2.08/1.72	
2.08/1.72	  For symbol evalcomplexbb2in: -X_3 + X_6 >= 0 /\ -X_2 + X_5 >= 0 /\ -X_1 + X_5 >= 0 /\ -X_2 + 29 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 + 58 >= 0 /\ -X_1 + 29 >= 0
2.08/1.72	
2.08/1.72	  For symbol evalcomplexbb3in: X_5 - X_6 - 1 >= 0 /\ -X_3 + X_6 >= 0 /\ -X_3 + X_5 - 1 >= 0 /\ -X_2 + X_5 >= 0 /\ -X_1 + X_5 >= 0 /\ -X_2 + 29 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 + 58 >= 0 /\ -X_1 + 29 >= 0
2.08/1.72	
2.08/1.72	  For symbol evalcomplexbb4in: -X_5 + X_6 >= 0 /\ -X_3 + X_6 >= 0 /\ -X_2 + X_6 >= 0 /\ -X_1 + X_6 >= 0 /\ -X_2 + X_5 >= 0 /\ -X_1 + X_5 >= 0 /\ -X_2 + 29 >= 0 /\ X_1 - X_2 >= 0 /\ -X_1 - X_2 + 58 >= 0 /\ -X_1 + 29 >= 0
2.08/1.72	
2.08/1.72	  For symbol evalcomplexbb5in: X_1 - X_2 >= 0 /\ X_1 - 30 >= 0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	This yielded the following problem:
2.08/1.72	
2.08/1.72	7:	T:
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)              koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)              evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)              evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ar_1 + 30, Cost: 1)      evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_0 - ar_1 >= 0 /\ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)              evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)              evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_2 + ar_5 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: 2*ar_1 + 60, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_2 + ar_5 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)              evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 - 30 >= 0 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)              evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_4 - ar_5 - 1 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: ?, Cost: 1)              evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ ar_4 - ar_5 - 1 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: 2*ar_1 + 60, Cost: 1)    evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5)) [ -ar_4 + ar_5 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_1 + ar_5 >= 0 /\ -ar_0 + ar_5 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	A polynomial rank function with
2.08/1.72	
2.08/1.72		Pol(koat_start) = -10*V_2 - 2*V_4 + 348
2.08/1.72	
2.08/1.72		Pol(evalcomplexstart) = -10*V_2 - 2*V_4 + 348
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb0in) = -10*V_2 - 2*V_4 + 348
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb1in) = -10*V_1 - 2*V_3 + 348
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb2in) = -12*V_1 + 2*V_5 - 2*V_6 + 348
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb5in) = -10*V_1 - 2*V_3 + 348
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb3in) = -12*V_1 + 2*V_5 - 2*V_6 + 347
2.08/1.72	
2.08/1.72		Pol(evalcomplexbb4in) = -12*V_1 + 2*V_5 - 2*V_6 + 348
2.08/1.72	
2.08/1.72		Pol(evalcomplexstop) = -10*V_1 - 2*V_3 + 348
2.08/1.72	
2.08/1.72	orients all transitions weakly and the transitions
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_4 - ar_5 - 1 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72		evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ ar_4 - ar_5 - 1 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72		evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_2 + ar_5 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72	strictly and produces the following problem:
2.08/1.72	
2.08/1.72	8:	T:
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 0)                         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)                         evalcomplexstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: 1, Cost: 1)                         evalcomplexbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.08/1.72	
2.08/1.72			(Comp: ar_1 + 30, Cost: 1)                 evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ ar_0 - ar_1 >= 0 /\ 29 >= ar_0 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)                         evalcomplexbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 30 ]
2.08/1.72	
2.08/1.72			(Comp: 10*ar_1 + 2*ar_3 + 348, Cost: 1)    evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_2 + ar_5 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_4 >= ar_5 + 1 ]
2.08/1.72	
2.08/1.72			(Comp: 2*ar_1 + 60, Cost: 1)               evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ -ar_2 + ar_5 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_5 >= ar_4 ]
2.08/1.72	
2.08/1.72			(Comp: 2, Cost: 1)                         evalcomplexbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 - 30 >= 0 ]
2.08/1.72	
2.08/1.72			(Comp: 10*ar_1 + 2*ar_3 + 348, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 7)) [ ar_4 - ar_5 - 1 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ ar_5 >= 6 ]
2.08/1.72	
2.08/1.72			(Comp: 10*ar_1 + 2*ar_3 + 348, Cost: 1)    evalcomplexbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb2in(ar_0, ar_1, ar_2, ar_3, ar_4 + 1, ar_5 + 2)) [ ar_4 - ar_5 - 1 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 /\ 5 >= ar_5 /\ 7 >= ar_5 ]
2.08/1.72	
2.08/1.72			(Comp: 2*ar_1 + 60, Cost: 1)               evalcomplexbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalcomplexbb1in(ar_4 + 2, ar_1, ar_5 - 10, ar_3, ar_4, ar_5)) [ -ar_4 + ar_5 >= 0 /\ -ar_2 + ar_5 >= 0 /\ -ar_1 + ar_5 >= 0 /\ -ar_0 + ar_5 >= 0 /\ -ar_1 + ar_4 >= 0 /\ -ar_0 + ar_4 >= 0 /\ -ar_1 + 29 >= 0 /\ ar_0 - ar_1 >= 0 /\ -ar_0 - ar_1 + 58 >= 0 /\ -ar_0 + 29 >= 0 ]
2.08/1.72	
2.08/1.72		start location:	koat_start
2.08/1.72	
2.08/1.72		leaf cost:	0
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	Complexity upper bound 35*ar_1 + 6*ar_3 + 1200
2.08/1.72	
2.08/1.72	
2.08/1.72	
2.08/1.72	Time: 0.464 sec (SMT: 0.373 sec)
2.08/1.72	
2.08/1.72	
2.08/1.72	----------------------------------------
2.08/1.72	
2.08/1.72	(2)
2.08/1.72	BOUNDS(1, n^1)
2.08/1.74	EOF