3.29/2.36	WORST_CASE(?, O(n^3))
3.29/2.37	proof of /export/starexec/sandbox/output/output_files/bench.koat
3.29/2.37	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.29/2.37	
3.29/2.37	
3.29/2.37	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^3).
3.29/2.37	
3.29/2.37	(0) CpxIntTrs
3.29/2.37	(1) Koat Proof [FINISHED, 1078 ms]
3.29/2.37	(2) BOUNDS(1, n^3)
3.29/2.37	
3.29/2.37	
3.29/2.37	----------------------------------------
3.29/2.37	
3.29/2.37	(0)
3.29/2.37	Obligation:
3.29/2.37	Complexity Int TRS consisting of the following rules:
3.29/2.37	eval_foo_start(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb0_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: TRUE
3.29/2.37	eval_foo_bb0_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_z, v_y, v_x, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: TRUE
3.29/2.37	eval_foo_bb1_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb2_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: v_.04 >= v_.02
3.29/2.37	eval_foo_bb1_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb5_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: v_.04 < v_.02
3.29/2.37	eval_foo_bb2_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb3_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: v_.01 > 1
3.29/2.37	eval_foo_bb2_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb4_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: v_.01 <= 1
3.29/2.37	eval_foo_bb3_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_.01 - 1, v_.02, v_.04 + v_.01 - 1, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: TRUE
3.29/2.37	eval_foo_bb4_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_bb1_in(v_.01, v_.02 + 1, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: TRUE
3.29/2.37	eval_foo_bb5_in(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z) -> Com_1(eval_foo_stop(v_.01, v_.02, v_.04, v_c, v_u, v_v, v_w, v_x, v_y, v_z)) :|: TRUE
3.29/2.37	
3.29/2.37	The start-symbols are:[eval_foo_start_10]
3.29/2.37	
3.29/2.37	
3.29/2.37	----------------------------------------
3.29/2.37	
3.29/2.37	(1) Koat Proof (FINISHED)
3.29/2.37	YES(?, 3*ar_1*ar_3 + 9*ar_1^2 + 3*ar_1*ar_5 + 3*ar_1^3 + 6*ar_3 + 12*ar_1 + 6*ar_5 + 20)
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Initial complexity problem:
3.29/2.37	
3.29/2.37	1:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Repeatedly propagating knowledge in problem 1 produces the following problem:
3.29/2.37	
3.29/2.37	2:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	A polynomial rank function with
3.29/2.37	
3.29/2.37		Pol(evalfoostart) = 2
3.29/2.37	
3.29/2.37		Pol(evalfoobb0in) = 2
3.29/2.37	
3.29/2.37		Pol(evalfoobb1in) = 2
3.29/2.37	
3.29/2.37		Pol(evalfoobb2in) = 2
3.29/2.37	
3.29/2.37		Pol(evalfoobb5in) = 1
3.29/2.37	
3.29/2.37		Pol(evalfoobb3in) = 2
3.29/2.37	
3.29/2.37		Pol(evalfoobb4in) = 2
3.29/2.37	
3.29/2.37		Pol(evalfoostop) = 0
3.29/2.37	
3.29/2.37		Pol(koat_start) = 2
3.29/2.37	
3.29/2.37	orients all transitions weakly and the transitions
3.29/2.37	
3.29/2.37		evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37	strictly and produces the following problem:
3.29/2.37	
3.29/2.37	3:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)    evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)    evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)    evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)    evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)    evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	A polynomial rank function with
3.29/2.37	
3.29/2.37		Pol(evalfoostart) = V_2 + 1
3.29/2.37	
3.29/2.37		Pol(evalfoobb0in) = V_2 + 1
3.29/2.37	
3.29/2.37		Pol(evalfoobb1in) = V_1 + 1
3.29/2.37	
3.29/2.37		Pol(evalfoobb2in) = V_1 + 1
3.29/2.37	
3.29/2.37		Pol(evalfoobb5in) = V_1
3.29/2.37	
3.29/2.37		Pol(evalfoobb3in) = V_1
3.29/2.37	
3.29/2.37		Pol(evalfoobb4in) = V_1 + 1
3.29/2.37	
3.29/2.37		Pol(evalfoostop) = V_1
3.29/2.37	
3.29/2.37		Pol(koat_start) = V_2 + 1
3.29/2.37	
3.29/2.37	orients all transitions weakly and the transition
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37	strictly and produces the following problem:
3.29/2.37	
3.29/2.37	4:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Repeatedly propagating knowledge in problem 4 produces the following problem:
3.29/2.37	
3.29/2.37	5:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5))
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Applied AI with 'oct' on problem 5 to obtain the following invariants:
3.29/2.37	
3.29/2.37	  For symbol evalfoobb1in: X_5 - X_6 >= 0 /\ X_3 - X_4 >= 0 /\ -X_1 + X_2 >= 0
3.29/2.37	
3.29/2.37	  For symbol evalfoobb2in: X_5 - X_6 >= 0 /\ -X_4 + X_5 >= 0 /\ -X_3 + X_5 >= 0 /\ X_3 - X_4 >= 0 /\ -X_1 + X_2 >= 0
3.29/2.37	
3.29/2.37	  For symbol evalfoobb3in: X_5 - X_6 >= 0 /\ -X_4 + X_5 >= 0 /\ -X_3 + X_5 >= 0 /\ X_3 - X_4 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 4 >= 0 /\ -X_1 + X_2 >= 0 /\ X_1 - 2 >= 0
3.29/2.37	
3.29/2.37	  For symbol evalfoobb4in: X_5 - X_6 >= 0 /\ -X_4 + X_5 >= 0 /\ -X_3 + X_5 >= 0 /\ X_3 - X_4 >= 0 /\ -X_1 + X_2 >= 0 /\ -X_1 + 1 >= 0
3.29/2.37	
3.29/2.37	  For symbol evalfoobb5in: X_5 - X_6 >= 0 /\ X_3 - X_6 - 1 >= 0 /\ X_3 - X_5 - 1 >= 0 /\ X_3 - X_4 >= 0 /\ -X_1 + X_2 >= 0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	This yielded the following problem:
3.29/2.37	
3.29/2.37	6:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 0)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	By chaining the transition koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] with all transitions in problem 6, the following new transition is obtained:
3.29/2.37	
3.29/2.37		koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	7:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Testing for reachability in the complexity graph removes the following transition from problem 7:
3.29/2.37	
3.29/2.37		evalfoostart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5))
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	8:	T:
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	By chaining the transition evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 ] with all transitions in problem 8, the following new transition is obtained:
3.29/2.37	
3.29/2.37		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	9:	T:
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 2)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 1)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	By chaining the transition evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 ] with all transitions in problem 9, the following new transition is obtained:
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	10:	T:
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 2)    evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Testing for reachability in the complexity graph removes the following transition from problem 10:
3.29/2.37	
3.29/2.37		evalfoobb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	11:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	By chaining the transition evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 ] with all transitions in problem 11, the following new transition is obtained:
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	12:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 2)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Testing for reachability in the complexity graph removes the following transition from problem 12:
3.29/2.37	
3.29/2.37		evalfoobb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	13:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 2)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	By chaining the transition evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 ] with all transitions in problem 13, the following new transition is obtained:
3.29/2.37	
3.29/2.37		evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	14:	T:
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 2)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 1)           evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Testing for reachability in the complexity graph removes the following transition from problem 14:
3.29/2.37	
3.29/2.37		evalfoobb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	15:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 2)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	By chaining the transition koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] with all transitions in problem 15, the following new transition is obtained:
3.29/2.37	
3.29/2.37		koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	16:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 2)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 2)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Testing for reachability in the complexity graph removes the following transition from problem 16:
3.29/2.37	
3.29/2.37		evalfoobb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5))
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	17:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 2)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 2)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	By chaining the transition evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 ] with all transitions in problem 17, the following new transitions are obtained:
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_2 + 1 >= ar_4 + 1 /\ ar_2 - ar_5 >= 0 /\ ar_2 - ar_4 >= 0 ]
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_4 >= ar_2 + 1 ]
3.29/2.37	
3.29/2.37	We thus obtain the following problem:
3.29/2.37	
3.29/2.37	18:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 4)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_2 + 1 >= ar_4 + 1 /\ ar_2 - ar_5 >= 0 /\ ar_2 - ar_4 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 3)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_4 >= ar_2 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 2)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Repeatedly propagating knowledge in problem 18 produces the following problem:
3.29/2.37	
3.29/2.37	19:	T:
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 4)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_2 + 1 >= ar_4 + 1 /\ ar_2 - ar_5 >= 0 /\ ar_2 - ar_4 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 3)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_4 >= ar_2 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 2)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	A polynomial rank function with
3.29/2.37	
3.29/2.37		Pol(evalfoobb2in) = 1
3.29/2.37	
3.29/2.37		Pol(evalfoostop) = 0
3.29/2.37	
3.29/2.37		Pol(evalfoobb1in) = 1
3.29/2.37	
3.29/2.37		Pol(koat_start) = 1
3.29/2.37	
3.29/2.37	orients all transitions weakly and the transition
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_2 + 1 >= ar_4 + 1 /\ ar_2 - ar_5 >= 0 /\ ar_2 - ar_4 >= 0 ]
3.29/2.37	
3.29/2.37	strictly and produces the following problem:
3.29/2.37	
3.29/2.37	20:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 4)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_2 + 1 >= ar_4 + 1 /\ ar_2 - ar_5 >= 0 /\ ar_2 - ar_4 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ?, Cost: 3)           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_4 >= ar_2 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 2)           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	A polynomial rank function with
3.29/2.37	
3.29/2.37		Pol(evalfoobb2in) = -V_3 + V_5 + 1
3.29/2.37	
3.29/2.37	and size complexities
3.29/2.37	
3.29/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]", 0-0) = ar_1
3.29/2.37	
3.29/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]", 0-1) = ar_1
3.29/2.37	
3.29/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]", 0-2) = ar_3
3.29/2.37	
3.29/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]", 0-3) = ar_3
3.29/2.37	
3.29/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]", 0-4) = ar_5
3.29/2.37	
3.29/2.37		S("koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]", 0-5) = ar_5
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= ar_2 ]", 0-0) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= ar_2 ]", 0-1) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= ar_2 ]", 0-2) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= ar_2 ]", 0-3) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= ar_2 ]", 0-4) = ar_5
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_4 >= ar_2 ]", 0-5) = ar_5
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= ar_4 + 1 /\\ ar_2 - ar_5 - 1 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 ]", 0-0) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= ar_4 + 1 /\\ ar_2 - ar_5 - 1 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 ]", 0-1) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= ar_4 + 1 /\\ ar_2 - ar_5 - 1 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 ]", 0-2) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= ar_4 + 1 /\\ ar_2 - ar_5 - 1 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 ]", 0-3) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= ar_4 + 1 /\\ ar_2 - ar_5 - 1 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 ]", 0-4) = ar_5
3.29/2.37	
3.29/2.37		S("evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_2 >= ar_4 + 1 /\\ ar_2 - ar_5 - 1 >= 0 /\\ ar_2 - ar_4 - 1 >= 0 ]", 0-5) = ar_5
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 2 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\\ -ar_0 + ar_1 + 1 >= 0 /\\ ar_4 + ar_0 - 1 >= ar_2 ]", 0-0) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 2 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\\ -ar_0 + ar_1 + 1 >= 0 /\\ ar_4 + ar_0 - 1 >= ar_2 ]", 0-1) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 2 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\\ -ar_0 + ar_1 + 1 >= 0 /\\ ar_4 + ar_0 - 1 >= ar_2 ]", 0-2) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 2 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\\ -ar_0 + ar_1 + 1 >= 0 /\\ ar_4 + ar_0 - 1 >= ar_2 ]", 0-3) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 2 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\\ -ar_0 + ar_1 + 1 >= 0 /\\ ar_4 + ar_0 - 1 >= ar_2 ]", 0-4) = 2*ar_1 + ar_5 + ar_1^2
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ ar_0 >= 2 /\\ ar_1 - 2 >= 0 /\\ ar_0 + ar_1 - 4 >= 0 /\\ ar_0 - 2 >= 0 /\\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\\ -ar_0 + ar_1 + 1 >= 0 /\\ ar_4 + ar_0 - 1 >= ar_2 ]", 0-5) = ar_5
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_4 >= ar_2 + 1 ]", 0-0) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_4 >= ar_2 + 1 ]", 0-1) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_4 >= ar_2 + 1 ]", 0-2) = ?
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_4 >= ar_2 + 1 ]", 0-3) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_4 >= ar_2 + 1 ]", 0-4) = ar_5 + 2*ar_1 + ar_1^2
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_4 >= ar_2 + 1 ]", 0-5) = ar_5
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_2 + 1 >= ar_4 + 1 /\\ ar_2 - ar_5 >= 0 /\\ ar_2 - ar_4 >= 0 ]", 0-0) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_2 + 1 >= ar_4 + 1 /\\ ar_2 - ar_5 >= 0 /\\ ar_2 - ar_4 >= 0 ]", 0-1) = ar_1
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_2 + 1 >= ar_4 + 1 /\\ ar_2 - ar_5 >= 0 /\\ ar_2 - ar_4 >= 0 ]", 0-2) = ?
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_2 + 1 >= ar_4 + 1 /\\ ar_2 - ar_5 >= 0 /\\ ar_2 - ar_4 >= 0 ]", 0-3) = ar_3
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_2 + 1 >= ar_4 + 1 /\\ ar_2 - ar_5 >= 0 /\\ ar_2 - ar_4 >= 0 ]", 0-4) = ar_5 + 2*ar_1 + ar_1^2
3.29/2.37	
3.29/2.37		S("evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\\ -ar_3 + ar_4 >= 0 /\\ -ar_2 + ar_4 >= 0 /\\ ar_2 - ar_3 >= 0 /\\ -ar_0 + ar_1 >= 0 /\\ 1 >= ar_0 /\\ -ar_0 + 1 >= 0 /\\ ar_2 - ar_3 + 1 >= 0 /\\ ar_2 + 1 >= ar_4 + 1 /\\ ar_2 - ar_5 >= 0 /\\ ar_2 - ar_4 >= 0 ]", 0-5) = ar_5
3.29/2.37	
3.29/2.37	orients the transitions
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_4 >= ar_2 + 1 ]
3.29/2.37	
3.29/2.37	weakly and the transition
3.29/2.37	
3.29/2.37		evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_4 >= ar_2 + 1 ]
3.29/2.37	
3.29/2.37	strictly and produces the following problem:
3.29/2.37	
3.29/2.37	21:	T:
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 4)                                                                           evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_2 + 1 >= ar_4 + 1 /\ ar_2 - ar_5 >= 0 /\ ar_2 - ar_4 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1*ar_3 + 3*ar_1^2 + ar_1*ar_5 + ar_1^3 + 2*ar_3 + 3*ar_1 + 2*ar_5 + 2, Cost: 3)    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2 + 1, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ 1 >= ar_0 /\ -ar_0 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_4 >= ar_2 + 1 ]
3.29/2.37	
3.29/2.37			(Comp: ar_1 + 1, Cost: 3)                                                                    evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0 - 1, ar_1, ar_2, ar_3, ar_4 + ar_0 - 1, ar_5)) [ ar_4 - ar_5 >= 0 /\ -ar_3 + ar_4 >= 0 /\ -ar_2 + ar_4 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_0 >= 2 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 4 >= 0 /\ ar_0 - 2 >= 0 /\ ar_4 + ar_0 - ar_5 - 1 >= 0 /\ -ar_0 + ar_1 + 1 >= 0 /\ ar_4 + ar_0 - 1 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 2, Cost: 2)                                                                           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoostop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_2 >= ar_4 + 1 /\ ar_2 - ar_5 - 1 >= 0 /\ ar_2 - ar_4 - 1 >= 0 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 1)                                                                           evalfoobb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 - ar_5 >= 0 /\ ar_2 - ar_3 >= 0 /\ -ar_0 + ar_1 >= 0 /\ ar_4 >= ar_2 ]
3.29/2.37	
3.29/2.37			(Comp: 1, Cost: 2)                                                                           koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalfoobb1in(ar_1, ar_1, ar_3, ar_3, ar_5, ar_5)) [ 0 <= 0 ]
3.29/2.37	
3.29/2.37		start location:	koat_start
3.29/2.37	
3.29/2.37		leaf cost:	0
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Complexity upper bound 3*ar_1*ar_3 + 9*ar_1^2 + 3*ar_1*ar_5 + 3*ar_1^3 + 6*ar_3 + 12*ar_1 + 6*ar_5 + 20
3.29/2.37	
3.29/2.37	
3.29/2.37	
3.29/2.37	Time: 1.080 sec (SMT: 0.872 sec)
3.29/2.37	
3.29/2.37	
3.29/2.37	----------------------------------------
3.29/2.37	
3.29/2.37	(2)
3.29/2.37	BOUNDS(1, n^3)
3.29/2.40	EOF