2.58/1.48	WORST_CASE(?, O(n^1))
2.58/1.49	proof of /export/starexec/sandbox/output/output_files/bench.koat
2.58/1.49	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
2.58/1.49	
2.58/1.49	
2.58/1.49	The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1).
2.58/1.49	
2.58/1.49	(0) CpxIntTrs
2.58/1.49	(1) Koat Proof [FINISHED, 268 ms]
2.58/1.49	(2) BOUNDS(1, n^1)
2.58/1.49	
2.58/1.49	
2.58/1.49	----------------------------------------
2.58/1.49	
2.58/1.49	(0)
2.58/1.49	Obligation:
2.58/1.49	Complexity Int TRS consisting of the following rules:
2.58/1.49	eval_speedpldi2_start(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb0_in(v_m, v_n, v_v1.0, v_v2.0)) :|: TRUE
2.58/1.49	eval_speedpldi2_bb0_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb1_in(v_m, v_n, v_n, 0)) :|: v_n >= 0 && v_m > 0
2.58/1.49	eval_speedpldi2_bb0_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb4_in(v_m, v_n, v_v1.0, v_v2.0)) :|: v_n < 0
2.58/1.49	eval_speedpldi2_bb0_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb4_in(v_m, v_n, v_v1.0, v_v2.0)) :|: v_m <= 0
2.58/1.49	eval_speedpldi2_bb1_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb2_in(v_m, v_n, v_v1.0, v_v2.0)) :|: v_v1.0 > 0
2.58/1.49	eval_speedpldi2_bb1_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb4_in(v_m, v_n, v_v1.0, v_v2.0)) :|: v_v1.0 <= 0
2.58/1.49	eval_speedpldi2_bb2_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb3_in(v_m, v_n, v_v1.0, v_v2.0)) :|: v_v2.0 < v_m
2.58/1.49	eval_speedpldi2_bb2_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb1_in(v_m, v_n, v_v1.0, 0)) :|: v_v2.0 >= v_m
2.58/1.49	eval_speedpldi2_bb3_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_bb1_in(v_m, v_n, v_v1.0 - 1, v_v2.0 + 1)) :|: TRUE
2.58/1.49	eval_speedpldi2_bb4_in(v_m, v_n, v_v1.0, v_v2.0) -> Com_1(eval_speedpldi2_stop(v_m, v_n, v_v1.0, v_v2.0)) :|: TRUE
2.58/1.49	
2.58/1.49	The start-symbols are:[eval_speedpldi2_start_4]
2.58/1.49	
2.58/1.49	
2.58/1.49	----------------------------------------
2.58/1.49	
2.58/1.49	(1) Koat Proof (FINISHED)
2.58/1.49	YES(?, 20*ar_0 + 12)
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	Initial complexity problem:
2.58/1.49	
2.58/1.49	1:	T:
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1))
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.58/1.49	
2.58/1.49		start location:	koat_start
2.58/1.49	
2.58/1.49		leaf cost:	0
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	Repeatedly propagating knowledge in problem 1 produces the following problem:
2.58/1.49	
2.58/1.49	2:	T:
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1))
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.58/1.49	
2.58/1.49		start location:	koat_start
2.58/1.49	
2.58/1.49		leaf cost:	0
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	A polynomial rank function with
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2start) = 2
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb0in) = 2
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb1in) = 2
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb4in) = 1
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb2in) = 2
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb3in) = 2
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2stop) = 0
2.58/1.49	
2.58/1.49		Pol(koat_start) = 2
2.58/1.49	
2.58/1.49	orients all transitions weakly and the transitions
2.58/1.49	
2.58/1.49		evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49		evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.58/1.49	
2.58/1.49	strictly and produces the following problem:
2.58/1.49	
2.58/1.49	3:	T:
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_2 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: 2, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_2 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_1 >= ar_3 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1))
2.58/1.49	
2.58/1.49			(Comp: 2, Cost: 1)    evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.58/1.49	
2.58/1.49		start location:	koat_start
2.58/1.49	
2.58/1.49		leaf cost:	0
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	Applied AI with 'oct' on problem 3 to obtain the following invariants:
2.58/1.49	
2.58/1.49	  For symbol evalspeedpldi2bb1in: X_4 >= 0 /\ X_3 + X_4 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ X_1 + X_3 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
2.58/1.49	
2.58/1.49	  For symbol evalspeedpldi2bb2in: X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0
2.58/1.49	
2.58/1.49	  For symbol evalspeedpldi2bb3in: X_2 - X_4 - 1 >= 0 /\ X_4 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 1 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ X_1 - 1 >= 0
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	This yielded the following problem:
2.58/1.49	
2.58/1.49	4:	T:
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 0)    koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.58/1.49	
2.58/1.49			(Comp: 2, Cost: 1)    evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: 2, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 ]
2.58/1.49	
2.58/1.49			(Comp: ?, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)    evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49		start location:	koat_start
2.58/1.49	
2.58/1.49		leaf cost:	0
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	A polynomial rank function with
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb3in) = 5*V_3 + 2*V_4 - 1
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb1in) = 5*V_3 + 2*V_4 + 1
2.58/1.49	
2.58/1.49		Pol(evalspeedpldi2bb2in) = 5*V_3 + 2*V_4
2.58/1.49	
2.58/1.49	and size complexities
2.58/1.49	
2.58/1.49		S("evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.58/1.49	
2.58/1.49		S("evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_3
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-2) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\\ ar_1 >= 1 ]", 0-3) = 0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-2) = ar_2
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]", 0-3) = ar_3
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-2) = ar_2
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]", 0-3) = ar_3
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-2) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ ar_2 >= 1 ]", 0-3) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-2) = 0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 >= 0 /\\ ar_1 + ar_2 - 1 >= 0 /\\ ar_0 + ar_2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 1 >= 0 /\\ ar_0 >= 0 /\\ 0 >= ar_2 ]", 0-3) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-2) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_1 >= ar_3 + 1 ]", 0-3) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-2) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 /\\ ar_3 >= ar_1 ]", 0-3) = 0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-2) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\\ ar_3 >= 0 /\\ ar_2 + ar_3 - 1 >= 0 /\\ ar_1 + ar_3 - 1 >= 0 /\\ ar_0 + ar_3 - 1 >= 0 /\\ ar_0 - ar_2 >= 0 /\\ ar_2 - 1 >= 0 /\\ ar_1 + ar_2 - 2 >= 0 /\\ ar_0 + ar_2 - 2 >= 0 /\\ ar_1 - 1 >= 0 /\\ ar_0 + ar_1 - 2 >= 0 /\\ ar_0 - 1 >= 0 ]", 0-3) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))", 0-2) = ar_2
2.58/1.49	
2.58/1.49		S("evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))", 0-3) = ar_1 + ar_3
2.58/1.49	
2.58/1.49		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-0) = ar_0
2.58/1.49	
2.58/1.49		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-1) = ar_1
2.58/1.49	
2.58/1.49		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-2) = ar_2
2.58/1.49	
2.58/1.49		S("koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]", 0-3) = ar_3
2.58/1.49	
2.58/1.49	orients the transitions
2.58/1.49	
2.58/1.49		evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.58/1.49	
2.58/1.49		evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.58/1.49	
2.58/1.49		evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.58/1.49	
2.58/1.49		evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.58/1.49	
2.58/1.49	weakly and the transitions
2.58/1.49	
2.58/1.49		evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.58/1.49	
2.58/1.49		evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.58/1.49	
2.58/1.49		evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.58/1.49	
2.58/1.49		evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.58/1.49	
2.58/1.49	strictly and produces the following problem:
2.58/1.49	
2.58/1.49	5:	T:
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 0)             koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
2.58/1.49	
2.58/1.49			(Comp: 2, Cost: 1)             evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2stop(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49			(Comp: 5*ar_0 + 1, Cost: 1)    evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2 - 1, ar_3 + 1)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 ]
2.58/1.49	
2.58/1.49			(Comp: 5*ar_0 + 1, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_2, 0)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_3 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: 5*ar_0 + 1, Cost: 1)    evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb3in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ ar_0 - 1 >= 0 /\ ar_1 >= ar_3 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: 2, Cost: 1)             evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ 0 >= ar_2 ]
2.58/1.49	
2.58/1.49			(Comp: 5*ar_0 + 1, Cost: 1)    evalspeedpldi2bb1in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb2in(ar_0, ar_1, ar_2, ar_3)) [ ar_3 >= 0 /\ ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ ar_0 + ar_2 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_2 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)             evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)             evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb4in(ar_0, ar_1, ar_2, ar_3)) [ 0 >= ar_0 + 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)             evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb1in(ar_0, ar_1, ar_0, 0)) [ ar_0 >= 0 /\ ar_1 >= 1 ]
2.58/1.49	
2.58/1.49			(Comp: 1, Cost: 1)             evalspeedpldi2start(ar_0, ar_1, ar_2, ar_3) -> Com_1(evalspeedpldi2bb0in(ar_0, ar_1, ar_2, ar_3))
2.58/1.49	
2.58/1.49		start location:	koat_start
2.58/1.49	
2.58/1.49		leaf cost:	0
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	Complexity upper bound 20*ar_0 + 12
2.58/1.49	
2.58/1.49	
2.58/1.49	
2.58/1.49	Time: 0.286 sec (SMT: 0.240 sec)
2.58/1.49	
2.58/1.49	
2.58/1.49	----------------------------------------
2.58/1.49	
2.58/1.49	(2)
2.58/1.49	BOUNDS(1, n^1)
2.58/1.52	EOF