Initial Problem
Start: start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars: G, H
Locations: m1, start
Transitions:
1:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,H,Arg_3,Arg_4,G):|:1<=Arg_1 && 0<=Arg_3 && Arg_4+1<=Arg_0 && G<=Arg_1+1 && H<=Arg_2+1 && 1+Arg_2<=H && G<=Arg_5+1 && 1+Arg_5<=G
2:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(H,Arg_1,Arg_2,Arg_3,Arg_4,G):|:1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && H<=Arg_4+1 && Arg_1+1<=Arg_2 && G<=Arg_5+1 && 1+Arg_5<=G && H<=Arg_0+1 && 1+Arg_0<=H
3:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,H,Arg_3,Arg_4,G):|:1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && H<=Arg_1+1 && Arg_0<=Arg_4 && G<=Arg_5+1 && 1+Arg_5<=G && H<=Arg_2+1 && 1+Arg_2<=H
4:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(H,Arg_1,Arg_2,Arg_3,Arg_4,G):|:1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && Arg_2<=Arg_1 && H<=Arg_4+1 && H<=Arg_0+1 && 1+Arg_0<=H && G<=Arg_5+1 && 1+Arg_5<=G
0:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<=Arg_0 && 2*Arg_2<=Arg_1+Arg_0+2 && Arg_0+1<=Arg_1 && Arg_1+Arg_0<=2*Arg_2 && 0<=Arg_3 && Arg_4+1<=Arg_2 && Arg_2<=Arg_4+1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
Preprocessing
Found invariant Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 for location m1
Problem after Preprocessing
Start: start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars: G, H
Locations: m1, start
Transitions:
1:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,H,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_4+1<=Arg_0 && G<=Arg_1+1 && H<=Arg_2+1 && 1+Arg_2<=H && G<=Arg_5+1 && 1+Arg_5<=G
2:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(H,Arg_1,Arg_2,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && H<=Arg_4+1 && Arg_1+1<=Arg_2 && G<=Arg_5+1 && 1+Arg_5<=G && H<=Arg_0+1 && 1+Arg_0<=H
3:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,H,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && H<=Arg_1+1 && Arg_0<=Arg_4 && G<=Arg_5+1 && 1+Arg_5<=G && H<=Arg_2+1 && 1+Arg_2<=H
4:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(H,Arg_1,Arg_2,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && Arg_2<=Arg_1 && H<=Arg_4+1 && H<=Arg_0+1 && 1+Arg_0<=H && G<=Arg_5+1 && 1+Arg_5<=G
0:start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<=Arg_0 && 2*Arg_2<=Arg_1+Arg_0+2 && Arg_0+1<=Arg_1 && Arg_1+Arg_0<=2*Arg_2 && 0<=Arg_3 && Arg_4+1<=Arg_2 && Arg_2<=Arg_4+1 && Arg_5<=Arg_0 && Arg_0<=Arg_5
MPRF for transition 1:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,H,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_4+1<=Arg_0 && G<=Arg_1+1 && H<=Arg_2+1 && 1+Arg_2<=H && G<=Arg_5+1 && 1+Arg_5<=G of depth 1:
new bound:
3*Arg_1+Arg_5 {O(n)}
MPRF:
m1 [3*Arg_1-Arg_5 ]
MPRF for transition 2:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(H,Arg_1,Arg_2,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && H<=Arg_4+1 && Arg_1+1<=Arg_2 && G<=Arg_5+1 && 1+Arg_5<=G && H<=Arg_0+1 && 1+Arg_0<=H of depth 1:
new bound:
Arg_1+Arg_5+1 {O(n)}
MPRF:
m1 [Arg_1+1-Arg_5 ]
MPRF for transition 3:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(Arg_0,Arg_1,H,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && H<=Arg_1+1 && Arg_0<=Arg_4 && G<=Arg_5+1 && 1+Arg_5<=G && H<=Arg_2+1 && 1+Arg_2<=H of depth 1:
new bound:
Arg_1+Arg_5+1 {O(n)}
MPRF:
m1 [Arg_1+1-Arg_5 ]
MPRF for transition 4:m1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> m1(H,Arg_1,Arg_2,Arg_3,Arg_4,G):|:Arg_5<=1+Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_0<=Arg_5 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && 0<=Arg_0 && 1<=Arg_1 && 0<=Arg_3 && Arg_5<=Arg_1 && Arg_2<=Arg_1 && H<=Arg_4+1 && H<=Arg_0+1 && 1+Arg_0<=H && G<=Arg_5+1 && 1+Arg_5<=G of depth 1:
new bound:
Arg_0+Arg_1+1 {O(n)}
MPRF:
m1 [Arg_1+1-Arg_0 ]
All Bounds
Timebounds
Overall timebound:3*Arg_5+6*Arg_1+Arg_0+4 {O(n)}
1: m1->m1: 3*Arg_1+Arg_5 {O(n)}
2: m1->m1: Arg_1+Arg_5+1 {O(n)}
3: m1->m1: Arg_1+Arg_5+1 {O(n)}
4: m1->m1: Arg_0+Arg_1+1 {O(n)}
0: start->m1: 1 {O(1)}
Costbounds
Overall costbound: 3*Arg_5+6*Arg_1+Arg_0+4 {O(n)}
1: m1->m1: 3*Arg_1+Arg_5 {O(n)}
2: m1->m1: Arg_1+Arg_5+1 {O(n)}
3: m1->m1: Arg_1+Arg_5+1 {O(n)}
4: m1->m1: Arg_0+Arg_1+1 {O(n)}
0: start->m1: 1 {O(1)}
Sizebounds
1: m1->m1, Arg_0: 3*Arg_1+6*Arg_0+Arg_5+3 {O(n)}
1: m1->m1, Arg_1: 4*Arg_1 {O(n)}
1: m1->m1, Arg_2: 3*Arg_5+4*Arg_2+5*Arg_1+2 {O(n)}
1: m1->m1, Arg_3: 4*Arg_3 {O(n)}
1: m1->m1, Arg_4: 4*Arg_4 {O(n)}
1: m1->m1, Arg_5: 2*Arg_0+8*Arg_1+8*Arg_5+5 {O(n)}
2: m1->m1, Arg_0: 2*Arg_1+3*Arg_0+Arg_5+2 {O(n)}
2: m1->m1, Arg_1: 2*Arg_1 {O(n)}
2: m1->m1, Arg_2: 2*Arg_2+Arg_1+Arg_5+1 {O(n)}
2: m1->m1, Arg_3: 2*Arg_3 {O(n)}
2: m1->m1, Arg_4: 2*Arg_4 {O(n)}
2: m1->m1, Arg_5: 3*Arg_1+4*Arg_5+Arg_0+3 {O(n)}
3: m1->m1, Arg_0: 3*Arg_0+Arg_1+1 {O(n)}
3: m1->m1, Arg_1: 2*Arg_1 {O(n)}
3: m1->m1, Arg_2: 2*Arg_2+Arg_1+Arg_5+1 {O(n)}
3: m1->m1, Arg_3: 2*Arg_3 {O(n)}
3: m1->m1, Arg_4: 2*Arg_4 {O(n)}
3: m1->m1, Arg_5: 2*Arg_1+3*Arg_5+Arg_0+2 {O(n)}
4: m1->m1, Arg_0: 3*Arg_0+Arg_1+1 {O(n)}
4: m1->m1, Arg_1: 2*Arg_1 {O(n)}
4: m1->m1, Arg_2: 2*Arg_2+Arg_1+Arg_5+1 {O(n)}
4: m1->m1, Arg_3: 2*Arg_3 {O(n)}
4: m1->m1, Arg_4: 2*Arg_4 {O(n)}
4: m1->m1, Arg_5: 2*Arg_1+3*Arg_5+Arg_0+2 {O(n)}
0: start->m1, Arg_0: Arg_0 {O(n)}
0: start->m1, Arg_1: Arg_1 {O(n)}
0: start->m1, Arg_2: Arg_2 {O(n)}
0: start->m1, Arg_3: Arg_3 {O(n)}
0: start->m1, Arg_4: Arg_4 {O(n)}
0: start->m1, Arg_5: Arg_5 {O(n)}