2.26/1.37	WORST_CASE(?, O(n^2))
2.26/1.38	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.26/1.38	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.26/1.38	
2.26/1.38	
2.26/1.38	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^2).
2.26/1.38	
2.26/1.38	(0) CpxIntTrs
2.26/1.38	(1) Koat Proof [FINISHED, 179 ms]
2.26/1.38	(2) BOUNDS(1, n^2)
2.26/1.38	
2.26/1.38	
2.26/1.38	----------------------------------------
2.26/1.38	
2.26/1.38	(0)
2.26/1.38	Obligation:
2.26/1.38	Complexity Int TRS consisting of the following rules:
2.26/1.38	eval_local_alloc_start(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb0_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: TRUE
2.26/1.38	eval_local_alloc_bb0_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb1_in(0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_max_qty)) :|: TRUE
2.26/1.38	eval_local_alloc_bb1_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb2_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_b.0 < v_n_basic_blocks
2.26/1.38	eval_local_alloc_bb1_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb6_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_b.0 >= v_n_basic_blocks
2.26/1.38	eval_local_alloc_bb2_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb3_in(v_b.0, 0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_next_qty.0 < v_limit
2.26/1.38	eval_local_alloc_bb2_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb5_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_next_qty.0 >= v_limit
2.26/1.38	eval_local_alloc_bb3_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb4_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_i.0 < v_next_qty.0
2.26/1.38	eval_local_alloc_bb3_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb5_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: v_i.0 >= v_next_qty.0
2.26/1.38	eval_local_alloc_bb4_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb3_in(v_b.0, v_i.0 + 1, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: TRUE
2.26/1.38	eval_local_alloc_bb5_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_bb1_in(v_b.0 + 1, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, 0)) :|: TRUE
2.26/1.38	eval_local_alloc_bb6_in(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0) -> Com_1(eval_local_alloc_stop(v_b.0, v_i.0, v_limit, v_max_qty, v_n_basic_blocks, v_next_qty.0)) :|: TRUE
2.26/1.38	
2.26/1.38	The start-symbols are:[eval_local_alloc_start_6]
2.26/1.38	
2.26/1.38	
2.26/1.38	----------------------------------------
2.26/1.38	
2.26/1.38	(1) Koat Proof (FINISHED)
2.26/1.38	YES(?, 9*ar_3 + 2*ar_2*ar_3 + 2*ar_2 + 15)
2.26/1.38	
2.26/1.38	
2.26/1.38	
2.26/1.38	Initial complexity problem:
2.26/1.38	
2.26/1.38	1:	T:
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.38	
2.26/1.38		start location:	koat_start
2.26/1.38	
2.26/1.38		leaf cost:	0
2.26/1.38	
2.26/1.38	
2.26/1.38	
2.26/1.38	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.26/1.38	
2.26/1.38	2:	T:
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)    evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)    evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.38	
2.26/1.38		start location:	koat_start
2.26/1.38	
2.26/1.38		leaf cost:	0
2.26/1.38	
2.26/1.38	
2.26/1.38	
2.26/1.38	A polynomial rank function with
2.26/1.38	
2.26/1.38		Pol(evallocalallocstart) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb0in) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb1in) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb2in) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb6in) = 1
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb3in) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb5in) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb4in) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocstop) = 0
2.26/1.38	
2.26/1.38		Pol(koat_start) = 2
2.26/1.38	
2.26/1.38	orients all transitions weakly and the transitions
2.26/1.38	
2.26/1.38		evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38		evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.38	
2.26/1.38	strictly and produces the following problem:
2.26/1.38	
2.26/1.38	3:	T:
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)    evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)    evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: 2, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)    evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 2, Cost: 1)    evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.38	
2.26/1.38		start location:	koat_start
2.26/1.38	
2.26/1.38		leaf cost:	0
2.26/1.38	
2.26/1.38	
2.26/1.38	
2.26/1.38	A polynomial rank function with
2.26/1.38	
2.26/1.38		Pol(evallocalallocstart) = V_4 + 1
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb0in) = V_4 + 1
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb1in) = -V_1 + V_4 + 1
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb2in) = -V_1 + V_4
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb6in) = -V_1 + V_4
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb3in) = -V_1 + V_4
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb5in) = -V_1 + V_4
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb4in) = -V_1 + V_4
2.26/1.38	
2.26/1.38		Pol(evallocalallocstop) = -V_1 + V_4
2.26/1.38	
2.26/1.38		Pol(koat_start) = V_4 + 1
2.26/1.38	
2.26/1.38	orients all transitions weakly and the transition
2.26/1.38	
2.26/1.38		evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.38	
2.26/1.38	strictly and produces the following problem:
2.26/1.38	
2.26/1.38	4:	T:
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)           evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)           evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ar_3 + 1, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: 2, Cost: 1)           evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 2, Cost: 1)           evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.38	
2.26/1.38		start location:	koat_start
2.26/1.38	
2.26/1.38		leaf cost:	0
2.26/1.38	
2.26/1.38	
2.26/1.38	
2.26/1.38	Repeatedly propagating knowledge in problem 4 produces the following problem:
2.26/1.38	
2.26/1.38	5:	T:
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)           evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 1)           evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: ar_3 + 1, Cost: 1)    evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: 2, Cost: 1)           evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.38	
2.26/1.38			(Comp: ar_3 + 1, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ar_3 + 1, Cost: 1)    evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.38	
2.26/1.38			(Comp: ?, Cost: 1)           evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 2, Cost: 1)           evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.38	
2.26/1.38			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.38	
2.26/1.38		start location:	koat_start
2.26/1.38	
2.26/1.38		leaf cost:	0
2.26/1.38	
2.26/1.38	
2.26/1.38	
2.26/1.38	A polynomial rank function with
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb5in) = 1
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb1in) = 0
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb4in) = 2
2.26/1.38	
2.26/1.38		Pol(evallocalallocbb3in) = 2
2.26/1.38	
2.26/1.38	and size complexities
2.26/1.38	
2.26/1.38		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
2.26/1.38	
2.26/1.38		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
2.26/1.38	
2.26/1.38		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
2.26/1.38	
2.26/1.38		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-0) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-1) = 0
2.26/1.38	
2.26/1.38		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-5) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-0) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-1) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-5) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-0) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-1) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-5) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-0) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-1) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-5) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-0) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-1) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-5) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-0) = ?
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-1) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-2) = ar_2
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-3) = ar_3
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-4) = ar_4
2.26/1.38	
2.26/1.38		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-5) = 0
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-0) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-0) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-0) = 0
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.26/1.39	
2.26/1.39	orients the transitions
2.26/1.39	
2.26/1.39		evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39		evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.39	
2.26/1.39		evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.39	
2.26/1.39		evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.39	
2.26/1.39	weakly and the transitions
2.26/1.39	
2.26/1.39		evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39		evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.39	
2.26/1.39	strictly and produces the following problem:
2.26/1.39	
2.26/1.39	6:	T:
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 1)             evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 1)             evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)      evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: 2, Cost: 1)             evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)      evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)      evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.39	
2.26/1.39			(Comp: ?, Cost: 1)             evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: 3*ar_3 + 3, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.39	
2.26/1.39			(Comp: ?, Cost: 1)             evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.39	
2.26/1.39			(Comp: 3*ar_3 + 3, Cost: 1)    evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 2, Cost: 1)             evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.39	
2.26/1.39		start location:	koat_start
2.26/1.39	
2.26/1.39		leaf cost:	0
2.26/1.39	
2.26/1.39	
2.26/1.39	
2.26/1.39	A polynomial rank function with
2.26/1.39	
2.26/1.39		Pol(evallocalallocbb4in) = V_2 - V_6 - 1
2.26/1.39	
2.26/1.39		Pol(evallocalallocbb3in) = V_2 - V_6
2.26/1.39	
2.26/1.39	and size complexities
2.26/1.39	
2.26/1.39		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-0) = ar_0
2.26/1.39	
2.26/1.39		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
2.26/1.39	
2.26/1.39		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
2.26/1.39	
2.26/1.39		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = 3*ar_3 + 243
2.26/1.39	
2.26/1.39		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-0) = 3*ar_3 + 27
2.26/1.39	
2.26/1.39		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-1) = 0
2.26/1.39	
2.26/1.39		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-0) = 3*ar_3 + 27
2.26/1.39	
2.26/1.39		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-0) = 3*ar_3 + 27
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-0) = 3*ar_3 + 27
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-0) = 3*ar_3 + 27
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-0) = 3*ar_3 + 27
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]", 0-5) = 0
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-0) = 3*ar_3 + 81
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-0) = 3*ar_3 + 27
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]", 0-5) = ?
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-0) = 0
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-0) = ar_0
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-1) = ar_1
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-2) = ar_2
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-3) = ar_3
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-4) = ar_4
2.26/1.39	
2.26/1.39		S("evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))", 0-5) = ar_5
2.26/1.39	
2.26/1.39	orients the transitions
2.26/1.39	
2.26/1.39		evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.39	
2.26/1.39		evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.39	
2.26/1.39	weakly and the transition
2.26/1.39	
2.26/1.39		evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.39	
2.26/1.39	strictly and produces the following problem:
2.26/1.39	
2.26/1.39	7:	T:
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 1)                   evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 1)                   evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)            evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: 2, Cost: 1)                   evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)            evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)            evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.39	
2.26/1.39			(Comp: ar_2*ar_3 + ar_2, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: 3*ar_3 + 3, Cost: 1)          evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.39	
2.26/1.39			(Comp: ?, Cost: 1)                   evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.39	
2.26/1.39			(Comp: 3*ar_3 + 3, Cost: 1)          evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 2, Cost: 1)                   evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 0)                   koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.39	
2.26/1.39		start location:	koat_start
2.26/1.39	
2.26/1.39		leaf cost:	0
2.26/1.39	
2.26/1.39	
2.26/1.39	
2.26/1.39	Repeatedly propagating knowledge in problem 7 produces the following problem:
2.26/1.39	
2.26/1.39	8:	T:
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 1)                   evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 1)                   evallocalallocbb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(0, ar_2, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)            evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_0 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: 2, Cost: 1)                   evallocalallocbb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_3 ]
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)            evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, 0)) [ ar_4 >= ar_1 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: ar_3 + 1, Cost: 1)            evallocalallocbb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_4 ]
2.26/1.39	
2.26/1.39			(Comp: ar_2*ar_3 + ar_2, Cost: 1)    evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_5 + 1 ]
2.26/1.39	
2.26/1.39			(Comp: 3*ar_3 + 3, Cost: 1)          evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_5 >= ar_1 ]
2.26/1.39	
2.26/1.39			(Comp: ar_2*ar_3 + ar_2, Cost: 1)    evallocalallocbb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5 + 1))
2.26/1.39	
2.26/1.39			(Comp: 3*ar_3 + 3, Cost: 1)          evallocalallocbb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocbb1in(ar_0 + 1, 0, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 2, Cost: 1)                   evallocalallocbb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
2.26/1.39	
2.26/1.39			(Comp: 1, Cost: 0)                   koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evallocalallocstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
2.26/1.39	
2.26/1.39		start location:	koat_start
2.26/1.39	
2.26/1.39		leaf cost:	0
2.26/1.39	
2.26/1.39	
2.26/1.39	
2.26/1.39	Complexity upper bound 9*ar_3 + 2*ar_2*ar_3 + 2*ar_2 + 15
2.26/1.39	
2.26/1.39	
2.26/1.39	
2.26/1.39	Time: 0.173 sec (SMT: 0.131 sec)
2.26/1.39	
2.26/1.39	
2.26/1.39	----------------------------------------
2.26/1.39	
2.26/1.39	(2)
2.26/1.39	BOUNDS(1, n^2)
2.52/1.48	EOF