Initial Problem

Start: eval_t27_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_t27_bb0_in, eval_t27_bb1_in, eval_t27_bb2_in, eval_t27_bb3_in, eval_t27_bb4_in, eval_t27_bb5_in, eval_t27_start, eval_t27_stop
Transitions:
1:eval_t27_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb1_in(Arg_4,Arg_5,Arg_2,Arg_3,Arg_4,Arg_5)
2:eval_t27_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_0<0
3:eval_t27_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<=Arg_0
4:eval_t27_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb3_in(Arg_0,Arg_1,Arg_1+1000,Arg_0+1,Arg_4,Arg_5)
6:eval_t27_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb1_in(Arg_3,Arg_2,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2<100
5:eval_t27_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:100<=Arg_2
7:eval_t27_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb3_in(Arg_0,Arg_1,Arg_2-100,Arg_3,Arg_4,Arg_5)
8:eval_t27_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
0:eval_t27_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

Preprocessing

Found invariant Arg_4<=Arg_0 for location eval_t27_bb1_in

Found invariant 1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 1+Arg_0<=0 for location eval_t27_bb3_in

Found invariant Arg_4<=Arg_0 && 0<=Arg_0 for location eval_t27_bb5_in

Found invariant Arg_4<=Arg_0 && 0<=Arg_0 for location eval_t27_stop

Found invariant 1+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && 1+Arg_0<=0 for location eval_t27_bb2_in

Found invariant 1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && 101+Arg_4<=Arg_2 && Arg_4<=899+Arg_1 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && 100+Arg_3<=Arg_2 && Arg_3<=900+Arg_1 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 100<=Arg_2 && 0<=800+Arg_1+Arg_2 && 101+Arg_0<=Arg_2 && 0<=900+Arg_1 && Arg_0<=899+Arg_1 && 1+Arg_0<=0 for location eval_t27_bb4_in

Problem after Preprocessing

Start: eval_t27_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_t27_bb0_in, eval_t27_bb1_in, eval_t27_bb2_in, eval_t27_bb3_in, eval_t27_bb4_in, eval_t27_bb5_in, eval_t27_start, eval_t27_stop
Transitions:
1:eval_t27_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb1_in(Arg_4,Arg_5,Arg_2,Arg_3,Arg_4,Arg_5)
2:eval_t27_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_0 && Arg_0<0
3:eval_t27_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_0 && 0<=Arg_0
4:eval_t27_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb3_in(Arg_0,Arg_1,Arg_1+1000,Arg_0+1,Arg_4,Arg_5):|:1+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && 1+Arg_0<=0
6:eval_t27_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb1_in(Arg_3,Arg_2,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 1+Arg_0<=0 && Arg_2<100
5:eval_t27_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 1+Arg_0<=0 && 100<=Arg_2
7:eval_t27_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb3_in(Arg_0,Arg_1,Arg_2-100,Arg_3,Arg_4,Arg_5):|:1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && 101+Arg_4<=Arg_2 && Arg_4<=899+Arg_1 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && 100+Arg_3<=Arg_2 && Arg_3<=900+Arg_1 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 100<=Arg_2 && 0<=800+Arg_1+Arg_2 && 101+Arg_0<=Arg_2 && 0<=900+Arg_1 && Arg_0<=899+Arg_1 && 1+Arg_0<=0
8:eval_t27_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_0 && 0<=Arg_0
0:eval_t27_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

MPRF for transition 2:eval_t27_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_0 && Arg_0<0 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_t27_bb2_in [-Arg_0-1 ]
eval_t27_bb1_in [-Arg_0 ]
eval_t27_bb4_in [-Arg_3 ]
eval_t27_bb3_in [-Arg_3 ]

MPRF for transition 4:eval_t27_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb3_in(Arg_0,Arg_1,Arg_1+1000,Arg_0+1,Arg_4,Arg_5):|:1+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && 1+Arg_0<=0 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_t27_bb2_in [-Arg_0 ]
eval_t27_bb1_in [-Arg_0 ]
eval_t27_bb4_in [-Arg_0-1 ]
eval_t27_bb3_in [-Arg_0-1 ]

MPRF for transition 5:eval_t27_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 1+Arg_0<=0 && 100<=Arg_2 of depth 1:

new bound:

1001*Arg_4+Arg_5+100 {O(n)}

MPRF:

eval_t27_bb2_in [Arg_1-1000*Arg_0-Arg_4-100 ]
eval_t27_bb1_in [Arg_1-1000*Arg_0-Arg_4-100 ]
eval_t27_bb4_in [Arg_2-1000*Arg_0-Arg_4-1200 ]
eval_t27_bb3_in [Arg_2-1000*Arg_0-Arg_4-1100 ]

MPRF for transition 6:eval_t27_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb1_in(Arg_3,Arg_2,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 1+Arg_0<=0 && Arg_2<100 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_t27_bb2_in [-Arg_0 ]
eval_t27_bb1_in [-Arg_0 ]
eval_t27_bb4_in [1-Arg_3 ]
eval_t27_bb3_in [1-Arg_3 ]

MPRF for transition 7:eval_t27_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_t27_bb3_in(Arg_0,Arg_1,Arg_2-100,Arg_3,Arg_4,Arg_5):|:1+Arg_4<=0 && 1+Arg_4<=Arg_3 && 1+Arg_3+Arg_4<=0 && 101+Arg_4<=Arg_2 && Arg_4<=899+Arg_1 && Arg_4<=Arg_0 && 2+Arg_0+Arg_4<=0 && Arg_3<=0 && 100+Arg_3<=Arg_2 && Arg_3<=900+Arg_1 && Arg_3<=1+Arg_0 && 1+Arg_0+Arg_3<=0 && 1+Arg_0<=Arg_3 && Arg_2<=1000+Arg_1 && 100<=Arg_2 && 0<=800+Arg_1+Arg_2 && 101+Arg_0<=Arg_2 && 0<=900+Arg_1 && Arg_0<=899+Arg_1 && 1+Arg_0<=0 of depth 1:

new bound:

1000*Arg_4+Arg_5 {O(n)}

MPRF:

eval_t27_bb2_in [Arg_1-1000*Arg_0 ]
eval_t27_bb1_in [Arg_1-1000*Arg_0 ]
eval_t27_bb4_in [Arg_2-1000*Arg_0-1000 ]
eval_t27_bb3_in [Arg_2-1000*Arg_0-1000 ]

All Bounds

Timebounds

Overall timebound:2*Arg_5+2004*Arg_4+104 {O(n)}
1: eval_t27_bb0_in->eval_t27_bb1_in: 1 {O(1)}
2: eval_t27_bb1_in->eval_t27_bb2_in: Arg_4 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in: 1 {O(1)}
4: eval_t27_bb2_in->eval_t27_bb3_in: Arg_4 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in: 1001*Arg_4+Arg_5+100 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in: Arg_4 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in: 1000*Arg_4+Arg_5 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop: 1 {O(1)}
0: eval_t27_start->eval_t27_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_5+2004*Arg_4+104 {O(n)}
1: eval_t27_bb0_in->eval_t27_bb1_in: 1 {O(1)}
2: eval_t27_bb1_in->eval_t27_bb2_in: Arg_4 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in: 1 {O(1)}
4: eval_t27_bb2_in->eval_t27_bb3_in: Arg_4 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in: 1001*Arg_4+Arg_5+100 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in: Arg_4 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in: 1000*Arg_4+Arg_5 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop: 1 {O(1)}
0: eval_t27_start->eval_t27_bb0_in: 1 {O(1)}

Sizebounds

1: eval_t27_bb0_in->eval_t27_bb1_in, Arg_0: Arg_4 {O(n)}
1: eval_t27_bb0_in->eval_t27_bb1_in, Arg_1: Arg_5 {O(n)}
1: eval_t27_bb0_in->eval_t27_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_t27_bb0_in->eval_t27_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_t27_bb0_in->eval_t27_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_t27_bb0_in->eval_t27_bb1_in, Arg_5: Arg_5 {O(n)}
2: eval_t27_bb1_in->eval_t27_bb2_in, Arg_0: Arg_4 {O(n)}
2: eval_t27_bb1_in->eval_t27_bb2_in, Arg_1: 1000*Arg_4+Arg_5 {O(n)}
2: eval_t27_bb1_in->eval_t27_bb2_in, Arg_2: 2*Arg_5+2000*Arg_4+Arg_2 {O(n)}
2: eval_t27_bb1_in->eval_t27_bb2_in, Arg_3: 2*Arg_4+Arg_3 {O(n)}
2: eval_t27_bb1_in->eval_t27_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_t27_bb1_in->eval_t27_bb2_in, Arg_5: Arg_5 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in, Arg_0: 2*Arg_4 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in, Arg_1: 1000*Arg_4+2*Arg_5 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in, Arg_2: 2*Arg_5+2000*Arg_4+Arg_2 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in, Arg_3: 2*Arg_4+Arg_3 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in, Arg_4: 2*Arg_4 {O(n)}
3: eval_t27_bb1_in->eval_t27_bb5_in, Arg_5: 2*Arg_5 {O(n)}
4: eval_t27_bb2_in->eval_t27_bb3_in, Arg_0: Arg_4 {O(n)}
4: eval_t27_bb2_in->eval_t27_bb3_in, Arg_1: 1000*Arg_4+Arg_5 {O(n)}
4: eval_t27_bb2_in->eval_t27_bb3_in, Arg_2: 1000*Arg_4+Arg_5 {O(n)}
4: eval_t27_bb2_in->eval_t27_bb3_in, Arg_3: Arg_4 {O(n)}
4: eval_t27_bb2_in->eval_t27_bb3_in, Arg_4: Arg_4 {O(n)}
4: eval_t27_bb2_in->eval_t27_bb3_in, Arg_5: Arg_5 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in, Arg_0: Arg_4 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in, Arg_1: 1000*Arg_4+Arg_5 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in, Arg_2: 1000*Arg_4+Arg_5 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in, Arg_3: Arg_4 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in, Arg_4: Arg_4 {O(n)}
5: eval_t27_bb3_in->eval_t27_bb4_in, Arg_5: Arg_5 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in, Arg_0: Arg_4 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in, Arg_1: 1000*Arg_4+Arg_5 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in, Arg_2: 2*Arg_5+2000*Arg_4 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in, Arg_3: 2*Arg_4 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in, Arg_4: Arg_4 {O(n)}
6: eval_t27_bb3_in->eval_t27_bb1_in, Arg_5: Arg_5 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in, Arg_0: Arg_4 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in, Arg_1: 1000*Arg_4+Arg_5 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in, Arg_2: 1000*Arg_4+Arg_5 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in, Arg_3: Arg_4 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in, Arg_4: Arg_4 {O(n)}
7: eval_t27_bb4_in->eval_t27_bb3_in, Arg_5: Arg_5 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop, Arg_0: 2*Arg_4 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop, Arg_1: 1000*Arg_4+2*Arg_5 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop, Arg_2: 2*Arg_5+2000*Arg_4+Arg_2 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop, Arg_3: 2*Arg_4+Arg_3 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop, Arg_4: 2*Arg_4 {O(n)}
8: eval_t27_bb5_in->eval_t27_stop, Arg_5: 2*Arg_5 {O(n)}
0: eval_t27_start->eval_t27_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_t27_start->eval_t27_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_t27_start->eval_t27_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_t27_start->eval_t27_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_t27_start->eval_t27_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_t27_start->eval_t27_bb0_in, Arg_5: Arg_5 {O(n)}