4.76/3.70	WORST_CASE(?, ?)
4.86/3.71	proof of /export/starexec/sandbox/output/output_files/bench.koat
4.86/3.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.86/3.71	
4.86/3.71	
4.86/3.71	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, EXP).
4.86/3.71	
4.86/3.71	(0) CpxIntTrs
4.86/3.71	(1) Koat Proof [FINISHED, 2390 ms]
4.86/3.71	(2) BOUNDS(1, EXP)
4.86/3.71	
4.86/3.71	
4.86/3.71	----------------------------------------
4.86/3.71	
4.86/3.71	(0)
4.86/3.71	Obligation:
4.86/3.71	Complexity Int TRS consisting of the following rules:
4.86/3.71	eval_foo_start(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: TRUE
4.86/3.71	eval_foo_bb0_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb1_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_r >= 0
4.86/3.71	eval_foo_bb0_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_r < 0
4.86/3.71	eval_foo_bb1_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(2 * v_r, 2 * v_r, v_4, v_da, v_db, v_r, v_temp)) :|: TRUE
4.86/3.71	eval_foo_bb2_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_.0 >= v_r
4.86/3.71	eval_foo_bb2_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb4_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_.0 < v_r
4.86/3.71	eval_foo_bb3_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_3(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: TRUE
4.86/3.71	eval_foo_3(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp), eval_foo_4(v_.0, v_.01, nondef.0, v_da, v_db, v_r, v_temp)) :|: TRUE
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.0 - 1, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 < 0
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.0 - 1, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 < 0 && v_4 > 0
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.0 - 1, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 > 0
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.01 - 1, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 < 0 && v_4 >= 0 && v_4 <= 0
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.01 - 1, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 > 0 && v_4 >= 0 && v_4 <= 0
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.0 - 1, v_.01 - 1, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 >= 0 && v_4 <= 0 && v_4 < 0
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.0 - 1, v_.01 - 1, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 >= 0 && v_4 <= 0 && v_4 > 0
4.86/3.71	eval_foo_4(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_bb2_in(v_.01 - 1, v_.01 - 1, v_4, v_da, v_db, v_r, v_temp)) :|: v_4 >= 0 && v_4 <= 0
4.86/3.71	eval_foo_bb4_in(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp) -> Com_1(eval_foo_stop(v_.0, v_.01, v_4, v_da, v_db, v_r, v_temp)) :|: TRUE
4.86/3.71	
4.86/3.71	The start-symbols are:[eval_foo_start_7]
4.86/3.71	
4.86/3.71	
4.86/3.71	----------------------------------------
4.86/3.71	
4.86/3.71	(1) Koat Proof (FINISHED)
4.86/3.71	YES(?, 2 * pow(2, 2*ar_0 + 1) * (16*ar_0 + 4) + pow(2, 2*ar_0 + 1) * 4 + pow(2, 2*ar_0 + 1) * (4*ar_0 + 1) + 36*ar_0 + 31)
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Initial complexity problem:
4.86/3.71	
4.86/3.71	1:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 + 1 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Testing for reachability in the complexity graph removes the following transitions from problem 1:
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 + 1 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2 - 1, ar_3, ar_4)) [ 0 >= 1 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	2:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Repeatedly propagating knowledge in problem 2 produces the following problem:
4.86/3.71	
4.86/3.71	3:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	A polynomial rank function with
4.86/3.71	
4.86/3.71		Pol(evalfoo4) = 2
4.86/3.71	
4.86/3.71		Pol(evalfoobb2in) = 2
4.86/3.71	
4.86/3.71		Pol(evalfoo31) = 2
4.86/3.71	
4.86/3.71		Pol(evalfoo30) = 0
4.86/3.71	
4.86/3.71		Pol(evalVERIFIERnondetintstart) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoo3) = 2
4.86/3.71	
4.86/3.71		Pol(evalfoobb3in) = 2
4.86/3.71	
4.86/3.71		Pol(evalfoobb4in) = 1
4.86/3.71	
4.86/3.71		Pol(evalfoostop) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoobb1in) = 2
4.86/3.71	
4.86/3.71		Pol(evalfoobb0in) = 2
4.86/3.71	
4.86/3.71		Pol(evalfoostart) = 2
4.86/3.71	
4.86/3.71		Pol(koat_start) = 2
4.86/3.71	
4.86/3.71	orients all transitions weakly and the transitions
4.86/3.71	
4.86/3.71		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71	strictly and produces the following problem:
4.86/3.71	
4.86/3.71	4:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Applied AI with 'oct' on problem 4 to obtain the following invariants:
4.86/3.71	
4.86/3.71	  For symbol evalfoo3: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
4.86/3.71	
4.86/3.71	  For symbol evalfoo30: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
4.86/3.71	
4.86/3.71	  For symbol evalfoo31: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
4.86/3.71	
4.86/3.71	  For symbol evalfoo4: X_4 - X_5 >= 0 /\ -X_4 + X_5 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
4.86/3.71	
4.86/3.71	  For symbol evalfoobb1in: X_1 >= 0
4.86/3.71	
4.86/3.71	  For symbol evalfoobb2in: X_1 >= 0
4.86/3.71	
4.86/3.71	  For symbol evalfoobb3in: X_2 >= 0 /\ X_1 + X_2 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 >= 0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	This yielded the following problem:
4.86/3.71	
4.86/3.71	5:	T:
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] with all transitions in problem 5, the following new transition is obtained:
4.86/3.71	
4.86/3.71		koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	6:	T:
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Testing for reachability in the complexity graph removes the following transition from problem 6:
4.86/3.71	
4.86/3.71		evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	7:	T:
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ] with all transitions in problem 7, the following new transition is obtained:
4.86/3.71	
4.86/3.71		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	8:	T:
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ] with all transitions in problem 8, the following new transition is obtained:
4.86/3.71	
4.86/3.71		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	9:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 2)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Testing for reachability in the complexity graph removes the following transition from problem 9:
4.86/3.71	
4.86/3.71		evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	10:	T:
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 2)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_1 >= ar_0 ] with all transitions in problem 10, the following new transition is obtained:
4.86/3.71	
4.86/3.71		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	11:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 2)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Testing for reachability in the complexity graph removes the following transition from problem 11:
4.86/3.71	
4.86/3.71		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	12:	T:
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, 2*ar_0, 2*ar_0, ar_3, ar_4)) [ ar_0 >= 0 ] with all transitions in problem 12, the following new transition is obtained:
4.86/3.71	
4.86/3.71		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	13:	T:
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 4)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ] with all transitions in problem 13, the following new transition is obtained:
4.86/3.71	
4.86/3.71		evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	14:	T:
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 4)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Testing for reachability in the complexity graph removes the following transition from problem 14:
4.86/3.71	
4.86/3.71		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4))
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	15:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 4)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 ] with all transitions in problem 15, the following new transition is obtained:
4.86/3.71	
4.86/3.71		evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	16:	T:
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 4)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Testing for reachability in the complexity graph removes the following transition from problem 16:
4.86/3.71	
4.86/3.71		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	17:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 ] with all transitions in problem 17, the following new transitions are obtained:
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	18:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	A polynomial rank function with
4.86/3.71	
4.86/3.71		Pol(evalfoo4) = 1
4.86/3.71	
4.86/3.71		Pol(evalfoo30) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoo31) = 1
4.86/3.71	
4.86/3.71		Pol(evalfoostop) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoobb2in) = 1
4.86/3.71	
4.86/3.71		Pol(evalVERIFIERnondetintstart) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoobb0in) = 1
4.86/3.71	
4.86/3.71		Pol(koat_start) = 1
4.86/3.71	
4.86/3.71	orients all transitions weakly and the transition
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71	strictly and produces the following problem:
4.86/3.71	
4.86/3.71	19:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 ] with all transitions in problem 19, the following new transitions are obtained:
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	20:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	A polynomial rank function with
4.86/3.71	
4.86/3.71		Pol(evalfoo4) = 1
4.86/3.71	
4.86/3.71		Pol(evalfoo30) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoo31) = 1
4.86/3.71	
4.86/3.71		Pol(evalfoostop) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoobb2in) = 1
4.86/3.71	
4.86/3.71		Pol(evalVERIFIERnondetintstart) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoobb0in) = 1
4.86/3.71	
4.86/3.71		Pol(koat_start) = 1
4.86/3.71	
4.86/3.71	orients all transitions weakly and the transition
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71	strictly and produces the following problem:
4.86/3.71	
4.86/3.71	21:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	By chaining the transition evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb2in(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 ] with all transitions in problem 21, the following new transitions are obtained:
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	22:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 2, Cost: 2)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	Testing for reachability in the complexity graph removes the following transitions from problem 22:
4.86/3.71	
4.86/3.71		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1, ar_2, ar_3, f)) [ ar_0 >= 0 /\ ar_1 >= ar_0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
4.86/3.71	
4.86/3.71		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_0 >= 0 /\ ar_0 >= ar_1 + 1 ]
4.86/3.71	
4.86/3.71	We thus obtain the following problem:
4.86/3.71	
4.86/3.71	23:	T:
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.71	
4.86/3.71		start location:	koat_start
4.86/3.71	
4.86/3.71		leaf cost:	0
4.86/3.71	
4.86/3.71	
4.86/3.71	
4.86/3.71	A polynomial rank function with
4.86/3.71	
4.86/3.71		Pol(evalfoo4) = 1
4.86/3.71	
4.86/3.71		Pol(evalfoostop) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoo30) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoo31) = 1
4.86/3.71	
4.86/3.71		Pol(evalVERIFIERnondetintstart) = 0
4.86/3.71	
4.86/3.71		Pol(evalfoobb0in) = 1
4.86/3.71	
4.86/3.71		Pol(koat_start) = 1
4.86/3.71	
4.86/3.71	orients all transitions weakly and the transition
4.86/3.71	
4.86/3.71		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71	strictly and produces the following problem:
4.86/3.71	
4.86/3.71	24:	T:
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.71	
4.86/3.71			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 1)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
4.86/3.72	
4.86/3.72		start location:	koat_start
4.86/3.72	
4.86/3.72		leaf cost:	0
4.86/3.72	
4.86/3.72	
4.86/3.72	
4.86/3.72	By chaining the transition koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] with all transitions in problem 24, the following new transitions are obtained:
4.86/3.72	
4.86/3.72		koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72		koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72	We thus obtain the following problem:
4.86/3.72	
4.86/3.72	25:	T:
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 6)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 5)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 2)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72		start location:	koat_start
4.86/3.72	
4.86/3.72		leaf cost:	0
4.86/3.72	
4.86/3.72	
4.86/3.72	
4.86/3.72	Testing for reachability in the complexity graph removes the following transitions from problem 25:
4.86/3.72	
4.86/3.72		evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72	We thus obtain the following problem:
4.86/3.72	
4.86/3.72	26:	T:
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 6)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72		start location:	koat_start
4.86/3.72	
4.86/3.72		leaf cost:	0
4.86/3.72	
4.86/3.72	
4.86/3.72	
4.86/3.72	A separated polynomial rank function for exponential bounds with
4.86/3.72	
4.86/3.72		Pol(evalfoo4) = 1
4.86/3.72	
4.86/3.72		Pol(evalfoostop) = 0
4.86/3.72	
4.86/3.72		Pol(evalfoo30) = 1
4.86/3.72	
4.86/3.72		Pol(evalfoo31) = 1
4.86/3.72	
4.86/3.72		Pol(evalVERIFIERnondetintstart) = 0
4.86/3.72	
4.86/3.72		Pol(koat_start) = 1
4.86/3.72	
4.86/3.72	orients all transitions weakly and the transition
4.86/3.72	
4.86/3.72		evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72	strictly and produces the following problem:
4.86/3.72	
4.86/3.72	27:	T:
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 4, Cost: 1)    evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 6)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72		start location:	koat_start
4.86/3.72	
4.86/3.72		leaf cost:	0
4.86/3.72	
4.86/3.72	
4.86/3.72	
4.86/3.72	A separated polynomial rank function for exponential bounds with
4.86/3.72	
4.86/3.72		Pol(evalfoo4) = V_3
4.86/3.72	
4.86/3.72		Pol(evalfoo30) = V_3
4.86/3.72	
4.86/3.72		Pol(evalfoo31) = V_3
4.86/3.72	
4.86/3.72	and size complexities
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-3) = ar_3
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-3) = ar_3
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-1) = ar_1
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-2) = ar_2
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-3) = ar_3
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-4) = ar_4
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-3) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-3) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-1) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-2) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-3) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-4) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-1) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-1) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-4) = ?
4.86/3.72	
4.86/3.72	orients the transitions
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72	weakly and the transition
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.72	
4.86/3.72	strictly and produces the following problem:
4.86/3.72	
4.86/3.72	28:	T:
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                     evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)                     evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                     evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 4)                     evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                     evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.72	
4.86/3.72			(Comp: pow(2, 2*ar_0 + 1), Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: ?, Cost: 1)                     evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 4, Cost: 1)                     evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                     koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 6)                     koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72		start location:	koat_start
4.86/3.72	
4.86/3.72		leaf cost:	0
4.86/3.72	
4.86/3.72	
4.86/3.72	
4.86/3.72	A polynomial rank function with
4.86/3.72	
4.86/3.72		Pol(evalfoo4) = 2*V_2
4.86/3.72	
4.86/3.72		Pol(evalfoo30) = 0
4.86/3.72	
4.86/3.72		Pol(evalfoo31) = 2*V_2 + 1
4.86/3.72	
4.86/3.72	and size complexities
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-3) = ar_3
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-3) = ar_3
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\\ ar_0 >= 0 /\\ 2*ar_0 >= ar_0 /\\ 2*ar_0 >= 0 /\\ 3*ar_0 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-1) = ar_1
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-2) = ar_2
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-3) = ar_3
4.86/3.72	
4.86/3.72		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\\ 0 >= ar_0 + 1 ]", 0-4) = ar_4
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-3) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-3) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_2 - 1 >= ar_0 /\\ ar_2 - 1 >= 0 /\\ ar_0 + ar_2 - 1 >= 0 /\\ -ar_0 + ar_2 - 1 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-1) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-2) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-3) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 = 0 /\\ ar_0 >= ar_2 ]", 0-4) = 0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-1) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ ar_3 >= 1 /\\ ar_0 >= ar_1 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 0-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-1) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_1 - 1 >= ar_0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ -ar_0 + ar_1 - 1 >= 0 ]", 1-4) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-0) = ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-1) = 2*ar_0 + 2
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-2) = 2*ar_0
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-3) = ?
4.86/3.72	
4.86/3.72		S("evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ ar_1 >= 0 /\\ ar_0 + ar_1 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_3 + 1 /\\ ar_0 >= ar_1 ]", 0-4) = ?
4.86/3.72	
4.86/3.72	orients the transitions
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72	weakly and the transitions
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72		evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72	strictly and produces the following problem:
4.86/3.72	
4.86/3.72	29:	T:
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                                                 evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: pow(2, 2*ar_0 + 1) * (4*ar_0 + 1) + 4*ar_0 + 1, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_3 + 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                                                 evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1 - 1, ar_2, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_0 >= ar_1 ]
4.86/3.72	
4.86/3.72			(Comp: pow(2, 2*ar_0 + 1) * (4*ar_0 + 1) + 4*ar_0 + 1, Cost: 4)    evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_1 - 1, ar_2, ar_3, f), evalfoo31(ar_0, ar_1 - 1, ar_2, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 >= 1 /\ ar_1 - 1 >= ar_0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                                                 evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_2 - 1, ar_2 - 1, ar_3, ar_4)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_0 >= ar_2 ]
4.86/3.72	
4.86/3.72			(Comp: pow(2, 2*ar_0 + 1), Cost: 4)                                evalfoo4(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f), evalfoo31(ar_0, ar_2 - 1, ar_2 - 1, ar_3, f)) [ ar_3 - ar_4 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 /\ ar_3 = 0 /\ ar_2 - 1 >= ar_0 /\ ar_2 - 1 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_0 + ar_2 - 1 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: pow(2, 2*ar_0 + 1) * (4*ar_0 + 1) + 4*ar_0 + 1, Cost: 1)    evalfoo31(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoo4(ar_0, ar_1, ar_2, ar_4, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 4, Cost: 1)                                                 evalfoo30(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4)) [ ar_1 >= 0 /\ ar_0 + ar_1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 0 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 3)                                                 koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 /\ 0 >= ar_0 + 1 ]
4.86/3.72	
4.86/3.72			(Comp: 1, Cost: 6)                                                 koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_2(evalfoo30(ar_0, 2*ar_0, 2*ar_0, ar_3, f), evalfoo31(ar_0, 2*ar_0, 2*ar_0, ar_3, f)) [ 0 <= 0 /\ ar_0 >= 0 /\ 2*ar_0 >= ar_0 /\ 2*ar_0 >= 0 /\ 3*ar_0 >= 0 ]
4.86/3.72	
4.86/3.72		start location:	koat_start
4.86/3.72	
4.86/3.72		leaf cost:	0
4.86/3.72	
4.86/3.72	
4.86/3.72	
4.86/3.72	Complexity upper bound 2 * pow(2, 2*ar_0 + 1) * (16*ar_0 + 4) + pow(2, 2*ar_0 + 1) * 4 + pow(2, 2*ar_0 + 1) * (4*ar_0 + 1) + 36*ar_0 + 31
4.86/3.72	
4.86/3.72	
4.86/3.72	
4.86/3.72	Time: 2.388 sec (SMT: 1.889 sec)
4.86/3.72	
4.86/3.72	
4.86/3.72	----------------------------------------
4.86/3.72	
4.86/3.72	(2)
4.86/3.72	BOUNDS(1, EXP)
4.88/7.25	EOF