2.57/1.71	WORST_CASE(?, O(n^1))
2.57/1.72	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.57/1.72	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.57/1.72	
2.57/1.72	
2.57/1.72	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.57/1.72	
2.57/1.72	(0) CpxIntTrs
2.57/1.72	(1) Koat Proof [FINISHED, 478 ms]
2.57/1.72	(2) BOUNDS(1, n^1)
2.57/1.72	
2.57/1.72	
2.57/1.72	----------------------------------------
2.57/1.72	
2.57/1.72	(0)
2.57/1.72	Obligation:
2.57/1.72	Complexity Int TRS consisting of the following rules:
2.57/1.72	eval_zwritehexstring_at_extracted_start(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb0_in(v_.0, v_.0., v_count.0, v_len)) :|: TRUE
2.57/1.72	eval_zwritehexstring_at_extracted_bb0_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb1_in(v_len, v_.0., v_count.0, v_len)) :|: TRUE
2.57/1.72	eval_zwritehexstring_at_extracted_bb1_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb2_in(v_.0, v_.0., v_count.0, v_len)) :|: v_.0 > 0
2.57/1.72	eval_zwritehexstring_at_extracted_bb1_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb5_in(v_.0, v_.0., v_count.0, v_len)) :|: v_.0 <= 0
2.57/1.72	eval_zwritehexstring_at_extracted_bb2_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb3_in(v_.0, v_.0, v_.0, v_len)) :|: v_.0 < 64
2.57/1.72	eval_zwritehexstring_at_extracted_bb2_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb3_in(v_.0, 64, 64, v_len)) :|: v_.0 >= 64
2.57/1.72	eval_zwritehexstring_at_extracted_bb3_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb3_in(v_.0, v_.0., v_count.0 - 1, v_len)) :|: v_count.0 - 1 > 0
2.57/1.72	eval_zwritehexstring_at_extracted_bb3_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb4_in(v_.0, v_.0., v_count.0, v_len)) :|: v_count.0 - 1 <= 0
2.57/1.72	eval_zwritehexstring_at_extracted_bb4_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_bb1_in(v_.0 - v_.0., v_.0., v_count.0, v_len)) :|: TRUE
2.57/1.72	eval_zwritehexstring_at_extracted_bb5_in(v_.0, v_.0., v_count.0, v_len) -> Com_1(eval_zwritehexstring_at_extracted_stop(v_.0, v_.0., v_count.0, v_len)) :|: TRUE
2.57/1.72	
2.57/1.72	The start-symbols are:[eval_zwritehexstring_at_extracted_start_4]
2.57/1.72	
2.57/1.72	
2.57/1.72	----------------------------------------
2.57/1.72	
2.57/1.72	(1) Koat Proof (FINISHED)
2.57/1.72	YES(?, 50676*ar_1 + 6)
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	Initial complexity problem:
2.57/1.72	
2.57/1.72	1:	T:
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_1, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 1 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_0, ar_0)) [ 63 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, 64, 64)) [ ar_0 >= 64 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3 - 1)) [ ar_3 >= 2 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_3 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_0 - ar_2, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstop(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.57/1.72	
2.57/1.72		start location:	koat_start
2.57/1.72	
2.57/1.72		leaf cost:	0
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.57/1.72	
2.57/1.72	2:	T:
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)    evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)    evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_1, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 1 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_0, ar_0)) [ 63 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, 64, 64)) [ ar_0 >= 64 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3 - 1)) [ ar_3 >= 2 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_3 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_0 - ar_2, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstop(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.57/1.72	
2.57/1.72		start location:	koat_start
2.57/1.72	
2.57/1.72		leaf cost:	0
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	A polynomial rank function with
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedstart) = 2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb0in) = 2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb1in) = 2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb2in) = 2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb5in) = 1
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb3in) = 2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb4in) = 2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedstop) = 0
2.57/1.72	
2.57/1.72		Pol(koat_start) = 2
2.57/1.72	
2.57/1.72	orients all transitions weakly and the transitions
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstop(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.57/1.72	
2.57/1.72	strictly and produces the following problem:
2.57/1.72	
2.57/1.72	3:	T:
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)    evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)    evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_1, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_0 >= 1 ]
2.57/1.72	
2.57/1.72			(Comp: 2, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_0, ar_0)) [ 63 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, 64, 64)) [ ar_0 >= 64 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3 - 1)) [ ar_3 >= 2 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3)) [ 1 >= ar_3 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_0 - ar_2, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 2, Cost: 1)    evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstop(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.57/1.72	
2.57/1.72		start location:	koat_start
2.57/1.72	
2.57/1.72		leaf cost:	0
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.57/1.72	
2.57/1.72	  For symbol evalzwritehexstringatextractedbb1in: -X_1 + X_2 >= 0
2.57/1.72	
2.57/1.72	  For symbol evalzwritehexstringatextractedbb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.57/1.72	
2.57/1.72	  For symbol evalzwritehexstringatextractedbb3in: -X_4 + 64 >= 0 /\ X_3 - X_4 >= 0 /\ -X_3 - X_4 + 128 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 + 63 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_3 + 64 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.57/1.72	
2.57/1.72	  For symbol evalzwritehexstringatextractedbb4in: -X_4 + 1 >= 0 /\ X_3 - X_4 >= 0 /\ -X_3 - X_4 + 65 >= 0 /\ X_2 - X_4 >= 0 /\ X_1 - X_4 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 + 63 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_3 + 64 >= 0 /\ X_2 - X_3 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.57/1.72	
2.57/1.72	  For symbol evalzwritehexstringatextractedbb5in: -X_1 + X_2 >= 0 /\ -X_1 >= 0
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	This yielded the following problem:
2.57/1.72	
2.57/1.72	4:	T:
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.57/1.72	
2.57/1.72			(Comp: 2, Cost: 1)    evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 65 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3)) [ -ar_3 + 64 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 128 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 1 >= ar_3 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3 - 1)) [ -ar_3 + 64 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 128 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= 2 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, 64, 64)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 64 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_0, ar_0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 63 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: 2, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: ?, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)    evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_1, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)    evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72		start location:	koat_start
2.57/1.72	
2.57/1.72		leaf cost:	0
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	A polynomial rank function with
2.57/1.72	
2.57/1.72		Pol(koat_start) = 8446*V_2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedstart) = 8446*V_2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb5in) = 131*V_1 + 8315*V_2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedstop) = 8446*V_1
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb4in) = 131*V_1 + 8315*V_2 - 131*V_3 + 132*V_4 - 131
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb1in) = 131*V_1 + 8315*V_2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb3in) = 131*V_1 + 8315*V_2 + V_4 - 68
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb2in) = 131*V_1 + 8315*V_2 - 2
2.57/1.72	
2.57/1.72		Pol(evalzwritehexstringatextractedbb0in) = 8446*V_2
2.57/1.72	
2.57/1.72	orients all transitions weakly and the transitions
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 65 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3)) [ -ar_3 + 64 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 128 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 1 >= ar_3 ]
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3 - 1)) [ -ar_3 + 64 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 128 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= 2 ]
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, 64, 64)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 64 ]
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_0, ar_0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 63 >= ar_0 ]
2.57/1.72	
2.57/1.72		evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.57/1.72	
2.57/1.72	strictly and produces the following problem:
2.57/1.72	
2.57/1.72	5:	T:
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 0)            koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.57/1.72	
2.57/1.72			(Comp: 2, Cost: 1)            evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedstop(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ]
2.57/1.72	
2.57/1.72			(Comp: 8446*ar_1, Cost: 1)    evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_0 - ar_2, ar_1, ar_2, ar_3)) [ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 65 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.57/1.72	
2.57/1.72			(Comp: 8446*ar_1, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb4in(ar_0, ar_1, ar_2, ar_3)) [ -ar_3 + 64 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 128 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 1 >= ar_3 ]
2.57/1.72	
2.57/1.72			(Comp: 8446*ar_1, Cost: 1)    evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_2, ar_3 - 1)) [ -ar_3 + 64 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_2 - ar_3 + 128 >= 0 /\ ar_1 - ar_3 >= 0 /\ ar_0 - ar_3 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 + 63 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 64 >= 0 /\ ar_1 - ar_2 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= 2 ]
2.57/1.72	
2.57/1.72			(Comp: 8446*ar_1, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, 64, 64)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 >= 64 ]
2.57/1.72	
2.57/1.72			(Comp: 8446*ar_1, Cost: 1)    evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb3in(ar_0, ar_1, ar_0, ar_0)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 63 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: 2, Cost: 1)            evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb5in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ]
2.57/1.72	
2.57/1.72			(Comp: 8446*ar_1, Cost: 1)    evalzwritehexstringatextractedbb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb2in(ar_0, ar_1, ar_2, ar_3)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)            evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb1in(ar_1, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72			(Comp: 1, Cost: 1)            evalzwritehexstringatextractedstart(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalzwritehexstringatextractedbb0in(ar_0, ar_1, ar_2, ar_3))
2.57/1.72	
2.57/1.72		start location:	koat_start
2.57/1.72	
2.57/1.72		leaf cost:	0
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	Complexity upper bound 50676*ar_1 + 6
2.57/1.72	
2.57/1.72	
2.57/1.72	
2.57/1.72	Time: 0.446 sec (SMT: 0.373 sec)
2.57/1.72	
2.57/1.72	
2.57/1.72	----------------------------------------
2.57/1.72	
2.57/1.72	(2)
2.57/1.72	BOUNDS(1, n^1)
2.57/1.75	EOF