2.89/1.96	WORST_CASE(?, O(n^1))
2.89/1.97	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.89/1.97	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.89/1.97	
2.89/1.97	
2.89/1.97	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.89/1.97	
2.89/1.97	(0) CpxIntTrs
2.89/1.97	(1) Koat Proof [FINISHED, 783 ms]
2.89/1.97	(2) BOUNDS(1, n^1)
2.89/1.97	
2.89/1.97	
2.89/1.97	----------------------------------------
2.89/1.97	
2.89/1.97	(0)
2.89/1.97	Obligation:
2.89/1.97	Complexity Int TRS consisting of the following rules:
2.89/1.97	eval_Loopus2011_ex1_start(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb0_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE
2.89/1.97	eval_Loopus2011_ex1_bb0_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb1_in(v_3, 0, v_i.1, v_j.0, v_n)) :|: TRUE
2.89/1.97	eval_Loopus2011_ex1_bb1_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb2_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.0 < v_n
2.89/1.97	eval_Loopus2011_ex1_bb1_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb6_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.0 >= v_n
2.89/1.97	eval_Loopus2011_ex1_bb2_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.0 + 1, 0, v_n)) :|: TRUE
2.89/1.97	eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb4_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.1 < v_n
2.89/1.97	eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_i.1 >= v_n
2.89/1.97	eval_Loopus2011_ex1_bb4_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_2(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE
2.89/1.97	eval_Loopus2011_ex1_2(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_2(eval_nondet_start(v_3, v_i.0, v_i.1, v_j.0, v_n), eval_Loopus2011_ex1_3(nondef.0, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE
2.89/1.97	eval_Loopus2011_ex1_3(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb5_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_3 > 0
2.89/1.97	eval_Loopus2011_ex1_3(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: v_3 <= 0
2.89/1.97	eval_Loopus2011_ex1_bb5_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb3_in(v_3, v_i.0, v_i.1 + 1, v_j.0 + 1, v_n)) :|: TRUE
2.89/1.97	eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb1_in(v_3, v_i.1 - 1, v_i.1, v_j.0, v_n)) :|: v_j.0 > 0
2.89/1.97	eval_Loopus2011_ex1_.critedge_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_bb1_in(v_3, v_i.1, v_i.1, v_j.0, v_n)) :|: v_j.0 <= 0
2.89/1.97	eval_Loopus2011_ex1_bb6_in(v_3, v_i.0, v_i.1, v_j.0, v_n) -> Com_1(eval_Loopus2011_ex1_stop(v_3, v_i.0, v_i.1, v_j.0, v_n)) :|: TRUE
2.89/1.97	
2.89/1.97	The start-symbols are:[eval_Loopus2011_ex1_start_5]
2.89/1.97	
2.89/1.97	
2.89/1.97	----------------------------------------
2.89/1.97	
2.89/1.97	(1) Koat Proof (FINISHED)
2.89/1.97	YES(?, 208*ar_1 + 6)
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	Initial complexity problem:
2.89/1.97	
2.89/1.97	1:	T:
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_0 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_0 + 1, 0, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_2 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, g))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_4 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2 - 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_3 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.89/1.97	
2.89/1.97		start location:	koat_start
2.89/1.97	
2.89/1.97		leaf cost:	0
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.89/1.97	
2.89/1.97	2:	T:
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)    evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)    evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_0 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_0 + 1, 0, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_2 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, g))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_4 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2 - 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_3 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.89/1.97	
2.89/1.97		start location:	koat_start
2.89/1.97	
2.89/1.97		leaf cost:	0
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	A polynomial rank function with
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1start) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb0in) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb1in) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb2in) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb6in) = 1
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb3in) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb4in) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1critedgein) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex12) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex120) = 0
2.89/1.97	
2.89/1.97		Pol(evalnondetstart) = 0
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex121) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex13) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb5in) = 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1stop) = 0
2.89/1.97	
2.89/1.97		Pol(koat_start) = 2
2.89/1.97	
2.89/1.97	orients all transitions weakly and the transitions
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ]
2.89/1.97	
2.89/1.97	strictly and produces the following problem:
2.89/1.97	
2.89/1.97	3:	T:
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)    evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)    evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_0 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: 2, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_0 + 1, 0, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_2 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, g))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_4 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2 - 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_3 ]
2.89/1.97	
2.89/1.97			(Comp: 2, Cost: 1)    evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.89/1.97	
2.89/1.97		start location:	koat_start
2.89/1.97	
2.89/1.97		leaf cost:	0
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex12: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 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
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex120: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 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
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex121: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 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
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex13: X_5 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 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
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex1bb1in: X_1 >= 0
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex1bb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex1bb3in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ 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
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex1bb4in: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 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
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex1bb5in: X_5 - X_6 >= 0 /\ X_6 - 1 >= 0 /\ X_5 + X_6 - 2 >= 0 /\ -X_5 + X_6 >= 0 /\ X_4 + X_6 - 1 >= 0 /\ X_3 + X_6 - 2 >= 0 /\ X_2 + X_6 - 3 >= 0 /\ X_1 + X_6 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 1 >= 0 /\ X_3 + X_5 - 2 >= 0 /\ X_2 + X_5 - 3 >= 0 /\ X_1 + X_5 - 1 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 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
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex1bb6in: X_1 - X_2 >= 0 /\ X_1 >= 0
2.89/1.97	
2.89/1.97	  For symbol evalLoopus2011ex1critedgein: X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ 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
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	This yielded the following problem:
2.89/1.97	
2.89/1.97	4:	T:
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.89/1.97	
2.89/1.97			(Comp: 2, Cost: 1)    evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 /\ 0 >= ar_3 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2 - 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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_3 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 /\ 0 >= ar_4 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 /\ ar_4 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, g)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_0 + 1, 0, ar_4, ar_5)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.89/1.97	
2.89/1.97			(Comp: 2, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 /\ ar_0 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: ?, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)    evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)    evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97		start location:	koat_start
2.89/1.97	
2.89/1.97		leaf cost:	0
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	A polynomial rank function with
2.89/1.97	
2.89/1.97		Pol(koat_start) = 16*V_2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1start) = 16*V_2 - 7
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb6in) = -16*V_1 + 16*V_2 - 7
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1stop) = -16*V_1 + 16*V_2 - 7
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1critedgein) = 16*V_2 - 16*V_3 + 9*V_4 + 1
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb1in) = -16*V_1 + 16*V_2 - 7
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb5in) = 16*V_2 - 16*V_3 + 9*V_4 + 1
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb3in) = 16*V_2 - 16*V_3 + 9*V_4 + 7
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex13) = 16*V_2 - 16*V_3 + 9*V_4 + 2
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex12) = 16*V_2 - 16*V_3 + 9*V_4 + 5
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex120) = 1
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex121) = 16*V_2 - 16*V_3 + 9*V_4 + 3
2.89/1.97	
2.89/1.97		Pol(evalnondetstart) = 0
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb4in) = 16*V_2 - 16*V_3 + 9*V_4 + 6
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb2in) = -16*V_1 + 16*V_2 - 8
2.89/1.97	
2.89/1.97		Pol(evalLoopus2011ex1bb0in) = 16*V_2 - 7
2.89/1.97	
2.89/1.97	orients all transitions weakly and the transitions
2.89/1.97	
2.89/1.97		evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 /\ 0 >= ar_3 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2 - 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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_3 >= 1 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_0 + 1, 0, ar_4, ar_5)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 /\ 0 >= ar_4 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 /\ ar_4 >= 1 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97		evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, g)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97	strictly and produces the following problem:
2.89/1.97	
2.89/1.97	5:	T:
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 0)          koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.89/1.97	
2.89/1.97			(Comp: 2, Cost: 1)          evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 - ar_1 >= 0 /\ ar_0 >= 0 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 /\ 0 >= ar_3 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(ar_2 - 1, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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_3 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_5 - 1 >= 0 /\ ar_4 + ar_5 - 2 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_3 + ar_5 - 1 >= 0 /\ ar_2 + ar_5 - 2 >= 0 /\ ar_1 + ar_5 - 3 >= 0 /\ ar_0 + ar_5 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 2 >= 0 /\ ar_1 + ar_4 - 3 >= 0 /\ ar_0 + ar_4 - 1 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 /\ 0 >= ar_4 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 /\ ar_4 >= 1 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, g)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex121(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex13(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex120(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex12(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 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 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1critedgein(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ 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 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb3in(ar_0, ar_1, ar_0 + 1, 0, ar_4, ar_5)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 ]
2.89/1.97	
2.89/1.97			(Comp: 2, Cost: 1)          evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 /\ ar_0 >= ar_1 ]
2.89/1.97	
2.89/1.97			(Comp: 16*ar_1, Cost: 1)    evalLoopus2011ex1bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 0 /\ ar_1 >= ar_0 + 1 ]
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)          evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb1in(0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97			(Comp: 1, Cost: 1)          evalLoopus2011ex1start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalLoopus2011ex1bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.89/1.97	
2.89/1.97		start location:	koat_start
2.89/1.97	
2.89/1.97		leaf cost:	0
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	Complexity upper bound 208*ar_1 + 6
2.89/1.97	
2.89/1.97	
2.89/1.97	
2.89/1.97	Time: 0.790 sec (SMT: 0.626 sec)
2.89/1.97	
2.89/1.97	
2.89/1.97	----------------------------------------
2.89/1.97	
2.89/1.97	(2)
2.89/1.97	BOUNDS(1, n^1)
2.89/1.99	EOF