Initial Problem

Start: eval_catmouse_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_catmouse_bb0_in, eval_catmouse_bb1_in, eval_catmouse_bb2_in, eval_catmouse_bb3_in, eval_catmouse_start, eval_catmouse_stop
Transitions:
1:eval_catmouse_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb1_in(Arg_0,Arg_1,0)
2:eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1
3:eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_1<Arg_2
4:eval_catmouse_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_0
5:eval_catmouse_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2-1):|:Arg_0<Arg_2
6:eval_catmouse_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_stop(Arg_0,Arg_1,Arg_2)
0:eval_catmouse_start(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb0_in(Arg_0,Arg_1,Arg_2)

Preprocessing

Found invariant 1+Arg_1<=Arg_2 for location eval_catmouse_stop

Found invariant Arg_2<=Arg_1 for location eval_catmouse_bb2_in

Found invariant 1+Arg_1<=Arg_2 for location eval_catmouse_bb3_in

Problem after Preprocessing

Start: eval_catmouse_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_catmouse_bb0_in, eval_catmouse_bb1_in, eval_catmouse_bb2_in, eval_catmouse_bb3_in, eval_catmouse_start, eval_catmouse_stop
Transitions:
1:eval_catmouse_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb1_in(Arg_0,Arg_1,0)
2:eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1
3:eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_1<Arg_2
4:eval_catmouse_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_1 && Arg_2<=Arg_0
5:eval_catmouse_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb1_in(Arg_0,Arg_1,Arg_2-1):|:Arg_2<=Arg_1 && Arg_0<Arg_2
6:eval_catmouse_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_catmouse_stop(Arg_0,Arg_1,Arg_2):|:1+Arg_1<=Arg_2
0:eval_catmouse_start(Arg_0,Arg_1,Arg_2) -> eval_catmouse_bb0_in(Arg_0,Arg_1,Arg_2)

Analysing control-flow refined program

Cut unsatisfiable transition 67: n_eval_catmouse_bb1_in___3->eval_catmouse_bb3_in

Cut unsatisfiable transition 68: n_eval_catmouse_bb1_in___5->eval_catmouse_bb3_in

Found invariant 0<=Arg_2 && 1+Arg_1<=Arg_2 for location eval_catmouse_stop

Found invariant Arg_2<=0 && 0<=Arg_2 for location eval_catmouse_bb1_in

Found invariant 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && 0<=Arg_1 && 1+Arg_0<=Arg_1 for location n_eval_catmouse_bb2_in___2

Found invariant Arg_2<=Arg_1 && Arg_2<=1+Arg_0 && 0<=Arg_1 for location n_eval_catmouse_bb2_in___4

Found invariant Arg_2<=1+Arg_1 && Arg_2<=1+Arg_0 && 0<=Arg_1 for location n_eval_catmouse_bb1_in___6

Found invariant 0<=Arg_2 && 1+Arg_1<=Arg_2 for location eval_catmouse_bb3_in

Found invariant 1+Arg_2<=0 && 1+Arg_2<=Arg_1 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=0 for location n_eval_catmouse_bb2_in___1

Found invariant 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && 0<=Arg_1 && 1+Arg_0<=Arg_1 for location n_eval_catmouse_bb1_in___3

Found invariant 1+Arg_2<=0 && 1+Arg_2<=Arg_1 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=0 for location n_eval_catmouse_bb1_in___5

Found invariant Arg_2<=0 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location n_eval_catmouse_bb2_in___7

MPRF for transition 50:n_eval_catmouse_bb1_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_catmouse_bb2_in___1(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=0 && 1+Arg_2<=Arg_1 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_1 && Arg_2<=Arg_1 of depth 1:

new bound:

Arg_0+2 {O(n)}

MPRF:

n_eval_catmouse_bb2_in___1 [Arg_2-Arg_0 ]
n_eval_catmouse_bb1_in___5 [Arg_2+1-Arg_0 ]

MPRF for transition 53:n_eval_catmouse_bb2_in___1(Arg_0,Arg_1,Arg_2) -> n_eval_catmouse_bb1_in___5(Arg_0,Arg_1,Arg_2-1):|:1+Arg_2<=0 && 1+Arg_2<=Arg_1 && 2+Arg_0+Arg_2<=0 && Arg_0<=Arg_2 && 0<=Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_0<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_1 && Arg_0<Arg_2 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_eval_catmouse_bb2_in___1 [Arg_2-Arg_0 ]
n_eval_catmouse_bb1_in___5 [Arg_2-Arg_0 ]

MPRF for transition 57:n_eval_catmouse_bb2_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_catmouse_bb1_in___6(Arg_0,Arg_1,Arg_2+1):|:Arg_2<=Arg_1 && Arg_2<=1+Arg_0 && 0<=Arg_1 && Arg_2<=1+Arg_0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_2<=Arg_1 of depth 1:

new bound:

2*Arg_1+Arg_0+5 {O(n)}

MPRF:

n_eval_catmouse_bb2_in___2 [Arg_1-Arg_0 ]
n_eval_catmouse_bb1_in___3 [Arg_1-Arg_2 ]
n_eval_catmouse_bb2_in___4 [Arg_1+1-Arg_2 ]
n_eval_catmouse_bb1_in___6 [Arg_1+1-Arg_2 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
1: eval_catmouse_bb0_in->eval_catmouse_bb1_in: 1 {O(1)}
2: eval_catmouse_bb1_in->eval_catmouse_bb2_in: inf {Infinity}
3: eval_catmouse_bb1_in->eval_catmouse_bb3_in: 1 {O(1)}
4: eval_catmouse_bb2_in->eval_catmouse_bb1_in: inf {Infinity}
5: eval_catmouse_bb2_in->eval_catmouse_bb1_in: inf {Infinity}
6: eval_catmouse_bb3_in->eval_catmouse_stop: 1 {O(1)}
0: eval_catmouse_start->eval_catmouse_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
1: eval_catmouse_bb0_in->eval_catmouse_bb1_in: 1 {O(1)}
2: eval_catmouse_bb1_in->eval_catmouse_bb2_in: inf {Infinity}
3: eval_catmouse_bb1_in->eval_catmouse_bb3_in: 1 {O(1)}
4: eval_catmouse_bb2_in->eval_catmouse_bb1_in: inf {Infinity}
5: eval_catmouse_bb2_in->eval_catmouse_bb1_in: inf {Infinity}
6: eval_catmouse_bb3_in->eval_catmouse_stop: 1 {O(1)}
0: eval_catmouse_start->eval_catmouse_bb0_in: 1 {O(1)}

Sizebounds

1: eval_catmouse_bb0_in->eval_catmouse_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_catmouse_bb0_in->eval_catmouse_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_catmouse_bb0_in->eval_catmouse_bb1_in, Arg_2: 0 {O(1)}
2: eval_catmouse_bb1_in->eval_catmouse_bb2_in, Arg_0: Arg_0 {O(n)}
2: eval_catmouse_bb1_in->eval_catmouse_bb2_in, Arg_1: Arg_1 {O(n)}
3: eval_catmouse_bb1_in->eval_catmouse_bb3_in, Arg_0: 2*Arg_0 {O(n)}
3: eval_catmouse_bb1_in->eval_catmouse_bb3_in, Arg_1: 2*Arg_1 {O(n)}
4: eval_catmouse_bb2_in->eval_catmouse_bb1_in, Arg_0: Arg_0 {O(n)}
4: eval_catmouse_bb2_in->eval_catmouse_bb1_in, Arg_1: Arg_1 {O(n)}
5: eval_catmouse_bb2_in->eval_catmouse_bb1_in, Arg_0: Arg_0 {O(n)}
5: eval_catmouse_bb2_in->eval_catmouse_bb1_in, Arg_1: Arg_1 {O(n)}
6: eval_catmouse_bb3_in->eval_catmouse_stop, Arg_0: 2*Arg_0 {O(n)}
6: eval_catmouse_bb3_in->eval_catmouse_stop, Arg_1: 2*Arg_1 {O(n)}
0: eval_catmouse_start->eval_catmouse_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_catmouse_start->eval_catmouse_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_catmouse_start->eval_catmouse_bb0_in, Arg_2: Arg_2 {O(n)}