2.49/1.46	WORST_CASE(?, O(n^1))
2.49/1.47	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.49/1.47	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.49/1.47	
2.49/1.47	
2.49/1.47	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.49/1.47	
2.49/1.47	(0) CpxIntTrs
2.49/1.47	(1) Koat Proof [FINISHED, 170 ms]
2.49/1.47	(2) BOUNDS(1, n^1)
2.49/1.47	
2.49/1.47	
2.49/1.47	----------------------------------------
2.49/1.47	
2.49/1.47	(0)
2.49/1.47	Obligation:
2.49/1.47	Complexity Int TRS consisting of the following rules:
2.49/1.47	eval_foo_start(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb0_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y)) :|: TRUE
2.49/1.47	eval_foo_bb0_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_x, v_y, v_.1, v_.2, v_c, v_x, v_y)) :|: TRUE
2.49/1.47	eval_foo_bb1_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb2_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y)) :|: v_.01 + v_.02 > 0
2.49/1.47	eval_foo_bb1_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb6_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y)) :|: v_.01 + v_.02 <= 0
2.49/1.47	eval_foo_bb2_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb3_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y)) :|: v_.01 > 0
2.49/1.47	eval_foo_bb2_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb4_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y)) :|: v_.01 <= 0
2.49/1.47	eval_foo_bb3_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.01, v_.02, v_.01 - 1, v_.02, v_c, v_x, v_y)) :|: TRUE
2.49/1.47	eval_foo_bb4_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.01, v_.02, v_.01, v_.02 - 1, v_c, v_x, v_y)) :|: v_.02 > 0
2.49/1.47	eval_foo_bb4_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb5_in(v_.01, v_.02, v_.01, v_.02, v_c, v_x, v_y)) :|: v_.02 <= 0
2.49/1.47	eval_foo_bb5_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_bb1_in(v_.1, v_.2, v_.1, v_.2, v_c, v_x, v_y)) :|: TRUE
2.49/1.47	eval_foo_bb6_in(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y) -> Com_1(eval_foo_stop(v_.01, v_.02, v_.1, v_.2, v_c, v_x, v_y)) :|: TRUE
2.49/1.47	
2.49/1.47	The start-symbols are:[eval_foo_start_7]
2.49/1.47	
2.49/1.47	
2.49/1.47	----------------------------------------
2.49/1.47	
2.49/1.47	(1) Koat Proof (FINISHED)
2.49/1.47	YES(?, 9*ar_3 + 10*ar_1 + 10)
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	Initial complexity problem:
2.49/1.47	
2.49/1.47	1:	T:
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.49/1.47	
2.49/1.47	2:	T:
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	A polynomial rank function with
2.49/1.47	
2.49/1.47		Pol(evalfoostart) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoobb0in) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoobb1in) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoobb2in) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoobb6in) = 1
2.49/1.47	
2.49/1.47		Pol(evalfoobb3in) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoobb4in) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoobb5in) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoostop) = 0
2.49/1.47	
2.49/1.47		Pol(koat_start) = 2
2.49/1.47	
2.49/1.47	orients all transitions weakly and the transitions
2.49/1.47	
2.49/1.47		evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47	strictly and produces the following problem:
2.49/1.47	
2.49/1.47	3:	T:
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)    evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	A polynomial rank function with
2.49/1.47	
2.49/1.47		Pol(evalfoostart) = V_2
2.49/1.47	
2.49/1.47		Pol(evalfoobb0in) = V_2
2.49/1.47	
2.49/1.47		Pol(evalfoobb1in) = V_1
2.49/1.47	
2.49/1.47		Pol(evalfoobb2in) = V_1
2.49/1.47	
2.49/1.47		Pol(evalfoobb6in) = V_1
2.49/1.47	
2.49/1.47		Pol(evalfoobb3in) = V_1 - 1
2.49/1.47	
2.49/1.47		Pol(evalfoobb4in) = V_1
2.49/1.47	
2.49/1.47		Pol(evalfoobb5in) = V_5
2.49/1.47	
2.49/1.47		Pol(evalfoostop) = V_1
2.49/1.47	
2.49/1.47		Pol(koat_start) = V_2
2.49/1.47	
2.49/1.47	orients all transitions weakly and the transition
2.49/1.47	
2.49/1.47		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47	strictly and produces the following problem:
2.49/1.47	
2.49/1.47	4:	T:
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)       evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)       evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)       evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)       evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	Repeatedly propagating knowledge in problem 4 produces the following problem:
2.49/1.47	
2.49/1.47	5:	T:
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)       evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)       evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)       evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)       evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	A polynomial rank function with
2.49/1.47	
2.49/1.47		Pol(evalfoostart) = V_4
2.49/1.47	
2.49/1.47		Pol(evalfoobb0in) = V_4
2.49/1.47	
2.49/1.47		Pol(evalfoobb1in) = V_3
2.49/1.47	
2.49/1.47		Pol(evalfoobb2in) = V_3
2.49/1.47	
2.49/1.47		Pol(evalfoobb6in) = V_3
2.49/1.47	
2.49/1.47		Pol(evalfoobb3in) = V_3
2.49/1.47	
2.49/1.47		Pol(evalfoobb4in) = V_3
2.49/1.47	
2.49/1.47		Pol(evalfoobb5in) = V_6
2.49/1.47	
2.49/1.47		Pol(evalfoostop) = V_3
2.49/1.47	
2.49/1.47		Pol(koat_start) = V_4
2.49/1.47	
2.49/1.47	orients all transitions weakly and the transition
2.49/1.47	
2.49/1.47		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47	strictly and produces the following problem:
2.49/1.47	
2.49/1.47	6:	T:
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)       evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)       evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)       evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ar_3, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)       evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)       evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	A polynomial rank function with
2.49/1.47	
2.49/1.47		Pol(evalfoobb5in) = 2
2.49/1.47	
2.49/1.47		Pol(evalfoobb1in) = 1
2.49/1.47	
2.49/1.47		Pol(evalfoobb4in) = -3*V_3 + 3
2.49/1.47	
2.49/1.47		Pol(evalfoobb2in) = -3*V_1 - 3*V_3 + 3
2.49/1.47	
2.49/1.47	and size complexities
2.49/1.47	
2.49/1.47		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
2.49/1.47	
2.49/1.47		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
2.49/1.47	
2.49/1.47		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
2.49/1.47	
2.49/1.47		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
2.49/1.47	
2.49/1.47		S("evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = 2*ar_1 + 2*ar_4
2.49/1.47	
2.49/1.47		S("evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_3 + ar_5
2.49/1.47	
2.49/1.47		S("evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))", 0-4) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))", 0-5) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]", 0-4) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]", 0-5) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]", 0-4) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]", 0-5) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))", 0-4) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))", 0-5) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-4) = 2*ar_1 + 2*ar_4
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]", 0-5) = ar_3 + ar_5
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-4) = 2*ar_1 + 2*ar_4
2.49/1.47	
2.49/1.47		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-5) = ar_3 + ar_5
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]", 0-4) = 2*ar_1 + 2*ar_4
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]", 0-5) = ar_3 + ar_5
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]", 0-0) = 2*ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]", 0-4) = 2*ar_1 + 2*ar_4
2.49/1.47	
2.49/1.47		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]", 0-5) = ar_3 + ar_5
2.49/1.47	
2.49/1.47		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-0) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-2) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.49/1.47	
2.49/1.47		S("evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.49/1.47	
2.49/1.47		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
2.49/1.47	
2.49/1.47		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.49/1.47	
2.49/1.47		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.49/1.47	
2.49/1.47		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.49/1.47	
2.49/1.47		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.49/1.47	
2.49/1.47		S("evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.49/1.47	
2.49/1.47	orients the transitions
2.49/1.47	
2.49/1.47		evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47	weakly and the transitions
2.49/1.47	
2.49/1.47		evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47	strictly and produces the following problem:
2.49/1.47	
2.49/1.47	7:	T:
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)                      evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)                      evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2*ar_3 + 2*ar_1 + 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)                      evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)                   evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: ?, Cost: 1)                      evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)                   evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ar_3, Cost: 1)                   evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2*ar_3 + 2*ar_1 + 1, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: 2*ar_3 + 2*ar_1 + 1, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)                      evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)                      koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	Repeatedly propagating knowledge in problem 7 produces the following problem:
2.49/1.47	
2.49/1.47	8:	T:
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)                      evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 1)                      evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2*ar_3 + 2*ar_1 + 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 + ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)                      evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)                   evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2*ar_3 + 2*ar_1 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 ]
2.49/1.47	
2.49/1.47			(Comp: ar_1, Cost: 1)                   evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0 - 1, ar_2))
2.49/1.47	
2.49/1.47			(Comp: ar_3, Cost: 1)                   evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2 - 1)) [ ar_2 >= 1 ]
2.49/1.47	
2.49/1.47			(Comp: 2*ar_3 + 2*ar_1 + 1, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_0, ar_2)) [ 0 >= ar_2 ]
2.49/1.47	
2.49/1.47			(Comp: 2*ar_3 + 2*ar_1 + 1, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_4, ar_1, ar_5, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 2, Cost: 1)                      evalfoobb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.49/1.47	
2.49/1.47			(Comp: 1, Cost: 0)                      koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.49/1.47	
2.49/1.47		start location:	koat_start
2.49/1.47	
2.49/1.47		leaf cost:	0
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	Complexity upper bound 9*ar_3 + 10*ar_1 + 10
2.49/1.47	
2.49/1.47	
2.49/1.47	
2.49/1.47	Time: 0.198 sec (SMT: 0.151 sec)
2.49/1.47	
2.49/1.47	
2.49/1.47	----------------------------------------
2.49/1.47	
2.49/1.47	(2)
2.49/1.47	BOUNDS(1, n^1)
2.51/1.58	EOF