2.29/1.49	WORST_CASE(?, O(n^1))
2.29/1.50	proof of /export/starexec/sandbox2/output/output_files/bench.koat
2.29/1.50	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.29/1.50	
2.29/1.50	
2.29/1.50	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.29/1.50	
2.29/1.50	(0) CpxIntTrs
2.29/1.50	(1) Koat Proof [FINISHED, 178 ms]
2.29/1.50	(2) BOUNDS(1, n^1)
2.29/1.50	
2.29/1.50	
2.29/1.50	----------------------------------------
2.29/1.50	
2.29/1.50	(0)
2.29/1.50	Obligation:
2.29/1.50	Complexity Int TRS consisting of the following rules:
2.29/1.50	eval_t07_start(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb0_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y)) :|: TRUE
2.29/1.50	eval_t07_bb0_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb1_in(v_x, v_y, v_.1, v_.2, v_x, v_y)) :|: TRUE
2.29/1.50	eval_t07_bb1_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb2_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y)) :|: v_.0 > 0
2.29/1.50	eval_t07_bb1_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb3_in(v_.0, v_.01, v_.01, v_.2, v_x, v_y)) :|: v_.0 <= 0
2.29/1.50	eval_t07_bb2_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb1_in(v_.0 - 1, v_.01 + 2, v_.1, v_.2, v_x, v_y)) :|: TRUE
2.29/1.50	eval_t07_bb3_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb4_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y)) :|: v_.1 > 0
2.29/1.50	eval_t07_bb3_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb5_in(v_.0, v_.01, v_.1, v_.1, v_x, v_y)) :|: v_.1 <= 0
2.29/1.50	eval_t07_bb4_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb3_in(v_.0, v_.01, v_.1 - 1, v_.2, v_x, v_y)) :|: TRUE
2.29/1.50	eval_t07_bb5_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb6_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y)) :|: v_.2 > 0
2.29/1.50	eval_t07_bb5_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb7_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y)) :|: v_.2 <= 0
2.29/1.50	eval_t07_bb6_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_bb5_in(v_.0, v_.01, v_.1, v_.2 - 1, v_x, v_y)) :|: TRUE
2.29/1.50	eval_t07_bb7_in(v_.0, v_.01, v_.1, v_.2, v_x, v_y) -> Com_1(eval_t07_stop(v_.0, v_.01, v_.1, v_.2, v_x, v_y)) :|: TRUE
2.29/1.50	
2.29/1.50	The start-symbols are:[eval_t07_start_6]
2.29/1.50	
2.29/1.50	
2.29/1.50	----------------------------------------
2.29/1.50	
2.29/1.50	(1) Koat Proof (FINISHED)
2.29/1.50	YES(?, 26*ar_1 + 24*ar_3 + 18)
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	Initial complexity problem:
2.29/1.50	
2.29/1.50	1:	T:
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	Testing for reachability in the complexity graph removes the following transitions from problem 1:
2.29/1.50	
2.29/1.50		evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= 1 ]
2.29/1.50	
2.29/1.50		evalt07bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 - 1))
2.29/1.50	
2.29/1.50	We thus obtain the following problem:
2.29/1.50	
2.29/1.50	2:	T:
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	Repeatedly propagating knowledge in problem 2 produces the following problem:
2.29/1.50	
2.29/1.50	3:	T:
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)    evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)    evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	A polynomial rank function with
2.29/1.50	
2.29/1.50		Pol(evalt07bb7in) = 1
2.29/1.50	
2.29/1.50		Pol(evalt07stop) = 0
2.29/1.50	
2.29/1.50		Pol(evalt07bb5in) = 2
2.29/1.50	
2.29/1.50		Pol(evalt07bb4in) = 3
2.29/1.50	
2.29/1.50		Pol(evalt07bb3in) = 3
2.29/1.50	
2.29/1.50		Pol(evalt07bb2in) = 4
2.29/1.50	
2.29/1.50		Pol(evalt07bb1in) = 4
2.29/1.50	
2.29/1.50		Pol(evalt07bb0in) = 4
2.29/1.50	
2.29/1.50		Pol(evalt07start) = 4
2.29/1.50	
2.29/1.50		Pol(koat_start) = 4
2.29/1.50	
2.29/1.50	orients all transitions weakly and the transitions
2.29/1.50	
2.29/1.50		evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50		evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50		evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50		evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50	strictly and produces the following problem:
2.29/1.50	
2.29/1.50	4:	T:
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)    evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)    evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)    evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)    evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	A polynomial rank function with
2.29/1.50	
2.29/1.50		Pol(evalt07bb7in) = V_1
2.29/1.50	
2.29/1.50		Pol(evalt07stop) = V_1
2.29/1.50	
2.29/1.50		Pol(evalt07bb5in) = V_1
2.29/1.50	
2.29/1.50		Pol(evalt07bb4in) = V_1
2.29/1.50	
2.29/1.50		Pol(evalt07bb3in) = V_1
2.29/1.50	
2.29/1.50		Pol(evalt07bb2in) = V_1 - 1
2.29/1.50	
2.29/1.50		Pol(evalt07bb1in) = V_1
2.29/1.50	
2.29/1.50		Pol(evalt07bb0in) = V_2
2.29/1.50	
2.29/1.50		Pol(evalt07start) = V_2
2.29/1.50	
2.29/1.50		Pol(koat_start) = V_2
2.29/1.50	
2.29/1.50	orients all transitions weakly and the transition
2.29/1.50	
2.29/1.50		evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50	strictly and produces the following problem:
2.29/1.50	
2.29/1.50	5:	T:
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)       evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)       evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)       evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ar_1, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)       evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)       evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	Repeatedly propagating knowledge in problem 5 produces the following problem:
2.29/1.50	
2.29/1.50	6:	T:
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)       evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)       evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ar_1, Cost: 1)    evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)       evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ar_1, Cost: 1)    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)       evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)       evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)       koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	A polynomial rank function with
2.29/1.50	
2.29/1.50		Pol(evalt07bb4in) = V_5 - 1
2.29/1.50	
2.29/1.50		Pol(evalt07bb3in) = V_5
2.29/1.50	
2.29/1.50	and size complexities
2.29/1.50	
2.29/1.50		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
2.29/1.50	
2.29/1.50		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
2.29/1.50	
2.29/1.50		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
2.29/1.50	
2.29/1.50		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
2.29/1.50	
2.29/1.50		S("evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.29/1.50	
2.29/1.50		S("evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.29/1.50	
2.29/1.50		S("evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-0) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-2) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.29/1.50	
2.29/1.50		S("evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-4) = ar_4
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]", 0-4) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.29/1.50	
2.29/1.50		S("evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-4) = ?
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]", 0-4) = ?
2.29/1.50	
2.29/1.50		S("evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]", 0-5) = ?
2.29/1.50	
2.29/1.50		S("evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-4) = ?
2.29/1.50	
2.29/1.50		S("evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))", 0-5) = ar_5
2.29/1.50	
2.29/1.50		S("evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-4) = ?
2.29/1.50	
2.29/1.50		S("evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]", 0-5) = ?
2.29/1.50	
2.29/1.50		S("evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 2*ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.29/1.50	
2.29/1.50		S("evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = 3*ar_1 + 3*ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.29/1.50	
2.29/1.50		S("evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ?
2.29/1.50	
2.29/1.50		S("evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ?
2.29/1.50	
2.29/1.50	orients the transitions
2.29/1.50	
2.29/1.50		evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50		evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50	weakly and the transition
2.29/1.50	
2.29/1.50		evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50	strictly and produces the following problem:
2.29/1.50	
2.29/1.50	7:	T:
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: ?, Cost: 1)                    evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: 12*ar_1 + 12*ar_3, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ar_1, Cost: 1)                 evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ar_1, Cost: 1)                 evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)                    evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)                    evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)                    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	Repeatedly propagating knowledge in problem 7 produces the following problem:
2.29/1.50	
2.29/1.50	8:	T:
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb7in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_5 ]
2.29/1.50	
2.29/1.50			(Comp: 12*ar_1 + 12*ar_3, Cost: 1)    evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4 - 1, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_4)) [ 0 >= ar_4 ]
2.29/1.50	
2.29/1.50			(Comp: 12*ar_1 + 12*ar_3, Cost: 1)    evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: ar_1, Cost: 1)                 evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_0 - 1, ar_1, ar_2 + 2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 4, Cost: 1)                    evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb3in(ar_0, ar_1, ar_2, ar_3, ar_2, ar_5)) [ 0 >= ar_0 ]
2.29/1.50	
2.29/1.50			(Comp: ar_1, Cost: 1)                 evalt07bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 1 ]
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)                    evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 1)                    evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.29/1.50	
2.29/1.50			(Comp: 1, Cost: 0)                    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalt07start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.29/1.50	
2.29/1.50		start location:	koat_start
2.29/1.50	
2.29/1.50		leaf cost:	0
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	Complexity upper bound 26*ar_1 + 24*ar_3 + 18
2.29/1.50	
2.29/1.50	
2.29/1.50	
2.29/1.50	Time: 0.158 sec (SMT: 0.121 sec)
2.29/1.50	
2.29/1.50	
2.29/1.50	----------------------------------------
2.29/1.50	
2.29/1.50	(2)
2.29/1.50	BOUNDS(1, n^1)
2.52/1.52	EOF