2.68/1.80	WORST_CASE(?, O(n^1))
2.68/1.82	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.68/1.82	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.68/1.82	
2.68/1.82	
2.68/1.82	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.68/1.82	
2.68/1.82	(0) CpxIntTrs
2.68/1.82	(1) Koat Proof [FINISHED, 481 ms]
2.68/1.82	(2) BOUNDS(1, n^1)
2.68/1.82	
2.68/1.82	
2.68/1.82	----------------------------------------
2.68/1.82	
2.68/1.82	(0)
2.68/1.82	Obligation:
2.68/1.82	Complexity Int TRS consisting of the following rules:
2.68/1.82	eval_speed_pldi10_ex3_start(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb0_in(v_.0, v_.1, v_3, v_n)) :|: TRUE
2.68/1.82	eval_speed_pldi10_ex3_bb0_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb1_in(v_n, v_.1, v_3, v_n)) :|: TRUE
2.68/1.82	eval_speed_pldi10_ex3_bb1_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb2_in(v_.0, v_.1, v_3, v_n)) :|: v_.0 > 0
2.68/1.82	eval_speed_pldi10_ex3_bb1_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb6_in(v_.0, v_.1, v_3, v_n)) :|: v_.0 <= 0
2.68/1.82	eval_speed_pldi10_ex3_bb2_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb3_in(v_.0, v_.0 - 1, v_3, v_n)) :|: TRUE
2.68/1.82	eval_speed_pldi10_ex3_bb3_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb4_in(v_.0, v_.1, v_3, v_n)) :|: v_.1 > 0
2.68/1.82	eval_speed_pldi10_ex3_bb3_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb1_in(v_.1, v_.1, v_3, v_n)) :|: v_.1 <= 0
2.68/1.82	eval_speed_pldi10_ex3_bb4_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_2(v_.0, v_.1, v_3, v_n)) :|: TRUE
2.68/1.82	eval_speed_pldi10_ex3_2(v_.0, v_.1, v_3, v_n) -> Com_2(eval_nondet_start(v_.0, v_.1, v_3, v_n), eval_speed_pldi10_ex3_3(v_.0, v_.1, nondef.0, v_n)) :|: TRUE
2.68/1.82	eval_speed_pldi10_ex3_3(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb1_in(v_.1, v_.1, v_3, v_n)) :|: v_3 > 0
2.68/1.82	eval_speed_pldi10_ex3_3(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb5_in(v_.0, v_.1, v_3, v_n)) :|: v_3 <= 0
2.68/1.82	eval_speed_pldi10_ex3_bb5_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_bb3_in(v_.0, v_.1 - 1, v_3, v_n)) :|: TRUE
2.68/1.82	eval_speed_pldi10_ex3_bb6_in(v_.0, v_.1, v_3, v_n) -> Com_1(eval_speed_pldi10_ex3_stop(v_.0, v_.1, v_3, v_n)) :|: TRUE
2.68/1.82	
2.68/1.82	The start-symbols are:[eval_speed_pldi10_ex3_start_4]
2.68/1.82	
2.68/1.82	
2.68/1.82	----------------------------------------
2.68/1.82	
2.68/1.82	(1) Koat Proof (FINISHED)
2.68/1.82	YES(?, 88*ar_1 + 6)
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	Initial complexity problem:
2.68/1.82	
2.68/1.82	1:	T:
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_1, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_0 - 1, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_4, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, f), evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, f))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2 - 1, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.68/1.82	
2.68/1.82		start location:	koat_start
2.68/1.82	
2.68/1.82		leaf cost:	0
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.68/1.82	
2.68/1.82	2:	T:
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)    evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)    evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_1, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_0 - 1, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_4, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, f), evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, f))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2 - 1, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.68/1.82	
2.68/1.82		start location:	koat_start
2.68/1.82	
2.68/1.82		leaf cost:	0
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	A polynomial rank function with
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3start) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb0in) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb1in) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb2in) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb6in) = 1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb3in) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb4in) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex32) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex320) = 0
2.68/1.82	
2.68/1.82		Pol(evalnondetstart) = 0
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex321) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex33) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb5in) = 2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3stop) = 0
2.68/1.82	
2.68/1.82		Pol(koat_start) = 2
2.68/1.82	
2.68/1.82	orients all transitions weakly and the transitions
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
2.68/1.82	
2.68/1.82	strictly and produces the following problem:
2.68/1.82	
2.68/1.82	3:	T:
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)    evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)    evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_1, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: 2, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_0 - 1, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_2 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_2 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_4, ar_4))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, f), evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, f))
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2 - 1, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 2, Cost: 1)    evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3stop(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.68/1.82	
2.68/1.82		start location:	koat_start
2.68/1.82	
2.68/1.82		leaf cost:	0
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex32: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex320: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex321: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex33: X_4 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex3bb1in: -X_1 + X_2 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex3bb2in: X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex3bb3in: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 1 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex3bb4in: X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex3bb5in: -X_5 >= 0 /\ X_4 - X_5 >= 0 /\ -X_4 - X_5 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_2 - X_5 - 2 >= 0 /\ X_1 - X_5 - 2 >= 0 /\ -X_4 + X_5 >= 0 /\ -X_4 >= 0 /\ X_3 - X_4 - 1 >= 0 /\ X_2 - X_4 - 2 >= 0 /\ X_1 - X_4 - 2 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 3 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
2.68/1.82	
2.68/1.82	  For symbol evalspeedpldi10ex3bb6in: -X_1 + X_2 >= 0 /\ -X_1 >= 0
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	This yielded the following problem:
2.68/1.82	
2.68/1.82	4:	T:
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 2, Cost: 1)    evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3stop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2 - 1, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_3 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, f), evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_2 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_0 - 1, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 2, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ]
2.68/1.82	
2.68/1.82			(Comp: ?, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)    evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_1, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)    evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82		start location:	koat_start
2.68/1.82	
2.68/1.82		leaf cost:	0
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	A polynomial rank function with
2.68/1.82	
2.68/1.82		Pol(koat_start) = 8*V_2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3start) = 8*V_2
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb6in) = 8*V_1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3stop) = 8*V_1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb5in) = 8*V_3 - 1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb3in) = 8*V_3 + 6
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex33) = 8*V_3 + 1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb1in) = 8*V_1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex32) = 8*V_3 + 4
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex320) = 1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex321) = 8*V_3 + 2
2.68/1.82	
2.68/1.82		Pol(evalnondetstart) = 0
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb4in) = 8*V_3 + 5
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb2in) = 8*V_1 - 1
2.68/1.82	
2.68/1.82		Pol(evalspeedpldi10ex3bb0in) = 8*V_2
2.68/1.82	
2.68/1.82	orients all transitions weakly and the transitions
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2 - 1, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= 1 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_2 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_0 - 1, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_3 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= 1 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82		evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, f), evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82	strictly and produces the following problem:
2.68/1.82	
2.68/1.82	5:	T:
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 0)         koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 2, Cost: 1)         evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3stop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 + ar_1 >= 0 /\ -ar_0 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2 - 1, ar_3, ar_4)) [ -ar_4 >= 0 /\ ar_3 - ar_4 >= 0 /\ -ar_3 - ar_4 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_1 - ar_4 - 2 >= 0 /\ ar_0 - ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_3 >= 0 /\ ar_2 - ar_3 - 1 >= 0 /\ ar_1 - ar_3 - 2 >= 0 /\ ar_0 - ar_3 - 2 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb5in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ 0 >= ar_3 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_3 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, f), evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex321(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex33(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex320(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex32(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_2, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 >= ar_2 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 /\ ar_2 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb3in(ar_0, ar_1, ar_0 - 1, ar_3, ar_4)) [ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 1 >= 0 ]
2.68/1.82	
2.68/1.82			(Comp: 2, Cost: 1)         evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb6in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 + ar_1 >= 0 /\ 0 >= ar_0 ]
2.68/1.82	
2.68/1.82			(Comp: 8*ar_1, Cost: 1)    evalspeedpldi10ex3bb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb2in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ -ar_0 + ar_1 >= 0 /\ ar_0 >= 1 ]
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)         evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb1in(ar_1, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82			(Comp: 1, Cost: 1)         evalspeedpldi10ex3start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalspeedpldi10ex3bb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
2.68/1.82	
2.68/1.82		start location:	koat_start
2.68/1.82	
2.68/1.82		leaf cost:	0
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	Complexity upper bound 88*ar_1 + 6
2.68/1.82	
2.68/1.82	
2.68/1.82	
2.68/1.82	Time: 0.510 sec (SMT: 0.403 sec)
2.68/1.82	
2.68/1.82	
2.68/1.82	----------------------------------------
2.68/1.82	
2.68/1.82	(2)
2.68/1.82	BOUNDS(1, n^1)
2.68/1.84	EOF