3.23/2.34	WORST_CASE(?, O(n^1))
3.23/2.35	proof of /export/starexec/sandbox2/output/output_files/bench.koat
3.23/2.35	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.23/2.35	
3.23/2.35	
3.23/2.35	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
3.23/2.35	
3.23/2.35	(0) CpxIntTrs
3.23/2.35	(1) Koat Proof [FINISHED, 1084 ms]
3.23/2.35	(2) BOUNDS(1, n^1)
3.23/2.35	
3.23/2.35	
3.23/2.35	----------------------------------------
3.23/2.35	
3.23/2.35	(0)
3.23/2.35	Obligation:
3.23/2.35	Complexity Int TRS consisting of the following rules:
3.23/2.35	eval_foo_start(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_bb0_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: TRUE
3.23/2.35	eval_foo_bb0_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_bb1_in(v_i, v_j, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: TRUE
3.23/2.35	eval_foo_bb1_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_bb2_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: v_.0 - v_.01 >= 1
3.23/2.35	eval_foo_bb1_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_bb3_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: v_.0 - v_.01 < 1
3.23/2.35	eval_foo_bb2_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_2(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: TRUE
3.23/2.35	eval_foo_2(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos), eval_foo_3(v_.0, v_.01, nondef.0, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: TRUE
3.23/2.35	eval_foo_3(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_6(v_.0, v_.01, v_2, v_.0 + v_2, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: v_2 < 0
3.23/2.35	eval_foo_3(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_6(v_.0, v_.01, v_2, v_.0 - v_2, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: v_2 >= 0
3.23/2.35	eval_foo_6(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_2(eval___VERIFIER_nondet_int_start(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos), eval_foo_7(v_.0, v_.01, v_2, v_5, nondef.1, v_i, v_j, v_nondetNat, v_nondetPos)) :|: TRUE
3.23/2.35	eval_foo_7(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_bb1_in(v_5, v_.01 - v_6 + 1, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: v_6 < 0
3.23/2.35	eval_foo_7(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_bb1_in(v_5, v_.01 + v_6 + 1, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: v_6 >= 0
3.23/2.35	eval_foo_bb3_in(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos) -> Com_1(eval_foo_stop(v_.0, v_.01, v_2, v_5, v_6, v_i, v_j, v_nondetNat, v_nondetPos)) :|: TRUE
3.23/2.35	
3.23/2.35	The start-symbols are:[eval_foo_start_9]
3.23/2.35	
3.23/2.35	
3.23/2.35	----------------------------------------
3.23/2.35	
3.23/2.35	(1) Koat Proof (FINISHED)
3.23/2.35	YES(?, 120*ar_1 + 120*ar_3 + 6)
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	Initial complexity problem:
3.23/2.35	
3.23/2.35	1:	T:
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 + ar_4, ar_7)) [ 0 >= ar_4 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 - ar_4, ar_7)) [ ar_4 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 - ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_7 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 + ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ]
3.23/2.35	
3.23/2.35		start location:	koat_start
3.23/2.35	
3.23/2.35		leaf cost:	0
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	Repeatedly propagating knowledge in problem 1 produces the following problem:
3.23/2.35	
3.23/2.35	2:	T:
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 + ar_4, ar_7)) [ 0 >= ar_4 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 - ar_4, ar_7)) [ ar_4 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 - ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_7 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 + ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ]
3.23/2.35	
3.23/2.35		start location:	koat_start
3.23/2.35	
3.23/2.35		leaf cost:	0
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	A polynomial rank function with
3.23/2.35	
3.23/2.35		Pol(evalfoostart) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoobb0in) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoobb1in) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoobb2in) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoobb3in) = 1
3.23/2.35	
3.23/2.35		Pol(evalfoo2) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoo20) = 0
3.23/2.35	
3.23/2.35		Pol(evalVERIFIERnondetintstart) = 0
3.23/2.35	
3.23/2.35		Pol(evalfoo21) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoo3) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoo6) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoo60) = 0
3.23/2.35	
3.23/2.35		Pol(evalfoo61) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoo7) = 2
3.23/2.35	
3.23/2.35		Pol(evalfoostop) = 0
3.23/2.35	
3.23/2.35		Pol(koat_start) = 2
3.23/2.35	
3.23/2.35	orients all transitions weakly and the transitions
3.23/2.35	
3.23/2.35		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 ]
3.23/2.35	
3.23/2.35	strictly and produces the following problem:
3.23/2.35	
3.23/2.35	3:	T:
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_0 >= ar_2 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 >= ar_0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 + ar_4, ar_7)) [ 0 >= ar_4 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 - ar_4, ar_7)) [ ar_4 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 - ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 >= ar_7 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 + ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_7 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 2, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ]
3.23/2.35	
3.23/2.35		start location:	koat_start
3.23/2.35	
3.23/2.35		leaf cost:	0
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	Applied AI with 'oct' on problem 3 to obtain the following invariants:
3.23/2.35	
3.23/2.35	  For symbol evalfoo2: X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoo20: X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoo21: X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoo3: X_5 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoo6: X_2 - X_7 >= 0 /\ X_1 - X_7 >= 0 /\ X_5 - X_6 >= 0 /\ -X_5 + X_6 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoo60: X_2 - X_7 >= 0 /\ X_1 - X_7 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoo61: X_2 - X_7 >= 0 /\ X_1 - X_7 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoo7: X_6 - X_8 >= 0 /\ -X_6 + X_8 >= 0 /\ X_2 - X_7 >= 0 /\ X_1 - X_7 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoobb1in: X_3 - X_4 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoobb2in: X_3 - X_4 >= 0 /\ X_2 - X_4 - 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	  For symbol evalfoobb3in: X_3 - X_4 >= 0 /\ -X_1 + X_3 >= 0 /\ -X_1 + X_2 >= 0
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	This yielded the following problem:
3.23/2.35	
3.23/2.35	4:	T:
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 2, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 + ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_7 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 - ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_7 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 - ar_4, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 + ar_4, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_4 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_0 ]
3.23/2.35	
3.23/2.35			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= ar_2 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35		start location:	koat_start
3.23/2.35	
3.23/2.35		leaf cost:	0
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	A polynomial rank function with
3.23/2.35	
3.23/2.35		Pol(koat_start) = 10*V_2 - 10*V_4
3.23/2.35	
3.23/2.35		Pol(evalfoostart) = 10*V_2 - 10*V_4
3.23/2.35	
3.23/2.35		Pol(evalfoobb3in) = 10*V_1 - 10*V_3
3.23/2.35	
3.23/2.35		Pol(evalfoostop) = 10*V_1 - 10*V_3
3.23/2.35	
3.23/2.35		Pol(evalfoo7) = 10*V_1 - 10*V_3 - 9
3.23/2.35	
3.23/2.35		Pol(evalfoobb1in) = 10*V_1 - 10*V_3
3.23/2.35	
3.23/2.35		Pol(evalfoo6) = 10*V_1 - 10*V_3 - 6
3.23/2.35	
3.23/2.35		Pol(evalfoo60) = 1
3.23/2.35	
3.23/2.35		Pol(evalfoo61) = 10*V_1 - 10*V_3 - 8
3.23/2.35	
3.23/2.35		Pol(evalVERIFIERnondetintstart) = 0
3.23/2.35	
3.23/2.35		Pol(evalfoo3) = 10*V_1 - 10*V_3 - 5
3.23/2.35	
3.23/2.35		Pol(evalfoo2) = 10*V_1 - 10*V_3 - 2
3.23/2.35	
3.23/2.35		Pol(evalfoo20) = 1
3.23/2.35	
3.23/2.35		Pol(evalfoo21) = 10*V_1 - 10*V_3 - 4
3.23/2.35	
3.23/2.35		Pol(evalfoobb2in) = 10*V_1 - 10*V_3 - 1
3.23/2.35	
3.23/2.35		Pol(evalfoobb0in) = 10*V_2 - 10*V_4
3.23/2.35	
3.23/2.35	orients all transitions weakly and the transitions
3.23/2.35	
3.23/2.35		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= ar_2 + 1 ]
3.23/2.35	
3.23/2.35		evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 + ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_7 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 - ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_7 + 1 ]
3.23/2.35	
3.23/2.35		evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 + ar_4, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_4 + 1 ]
3.23/2.35	
3.23/2.35		evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 - ar_4, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35		evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35	strictly and produces the following problem:
3.23/2.35	
3.23/2.35	5:	T:
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 0)                    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ 0 <= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 2, Cost: 1)                    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_2 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 + ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_7 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_6, ar_1, ar_2 - ar_7 + 1, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_5 - ar_7 >= 0 /\ -ar_5 + ar_7 >= 0 /\ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_7 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo61(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo7(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_5)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo60(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_1 - ar_6 >= 0 /\ ar_0 - ar_6 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 - ar_4, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo6(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_0 + ar_4, ar_7)) [ ar_4 - ar_5 >= 0 /\ -ar_4 + ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 0 >= ar_4 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_2(evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7), evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, i, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo3(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoo20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalVERIFIERnondetintstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoo2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ ar_1 - ar_3 - 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.23/2.35	
3.23/2.35			(Comp: 2, Cost: 1)                    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_0 ]
3.23/2.35	
3.23/2.35			(Comp: 10*ar_1 + 10*ar_3, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7)) [ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= ar_2 + 1 ]
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)                    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35			(Comp: 1, Cost: 1)                    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6, ar_7))
3.23/2.35	
3.23/2.35		start location:	koat_start
3.23/2.35	
3.23/2.35		leaf cost:	0
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	Complexity upper bound 120*ar_1 + 120*ar_3 + 6
3.23/2.35	
3.23/2.35	
3.23/2.35	
3.23/2.35	Time: 1.046 sec (SMT: 0.792 sec)
3.23/2.35	
3.23/2.35	
3.23/2.35	----------------------------------------
3.23/2.35	
3.23/2.35	(2)
3.23/2.35	BOUNDS(1, n^1)
3.33/2.37	EOF