Proofs
A proof is a series of claims that lead to a conclusion. Some proofs are conditional, which means that the claims can only be made under certain conditions. Click on a statement to see the proof
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 11 = 4
- value of cell 8 at time 11 = 24
then value of cell 8 at time 12 = 24
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 11 = 4
- value of cell 9 at time 11 = 31
then value of cell 9 at time 12 = 31
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 11 = 4
- value of cell 10 at time 11 = 45
then value of cell 10 at time 12 = 45
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 11 = 4
- value of cell 7 at time 11 = 31
then value of cell 7 at time 12 = 31
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 11 = 4
- value of cell 12 at time 11 = 24
then value of cell 12 at time 12 = 24
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 11 = 4
- value of cell 13 at time 11 = 31
then value of cell 13 at time 12 = 31
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 3 at time 12 = 3
- value of cell 4 at time 12 = 2
then the PC at time 13 = 6
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 3 at time 12 = 3
then value of cell 3 at time 13 = 3
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 4 at time 12 = 2
then value of cell 4 at time 13 = 2
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 5 at time 12 = 10
then value of cell 5 at time 13 = 10
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 6 at time 12 = 14
then value of cell 6 at time 13 = 14
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 8 at time 12 = 24
then value of cell 8 at time 13 = 24
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 9 at time 12 = 31
then value of cell 9 at time 13 = 31
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 10 at time 12 = 45
then value of cell 10 at time 13 = 45
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 7 at time 12 = 31
then value of cell 7 at time 13 = 31
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 12 at time 12 = 24
then value of cell 12 at time 13 = 24
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 12 = 5
- value of cell 13 at time 12 = 31
then value of cell 13 at time 13 = 31
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
then the PC at time 14 = 0
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 3 at time 13 = 3
then value of cell 3 at time 14 = 3
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 4 at time 13 = 2
then value of cell 4 at time 14 = 2
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 5 at time 13 = 10
then value of cell 5 at time 14 = 10
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 6 at time 13 = 14
then value of cell 6 at time 14 = 14
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 8 at time 13 = 24
then value of cell 8 at time 14 = 24
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 9 at time 13 = 31
then value of cell 9 at time 14 = 31
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 10 at time 13 = 45
then value of cell 10 at time 14 = 45
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 7 at time 13 = 31
then value of cell 7 at time 14 = 31
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 12 at time 13 = 24
then value of cell 12 at time 14 = 24
- instruction #6 is
jump imm=0
- the PC at time 13 = 6
- value of cell 13 at time 13 = 31
then value of cell 13 at time 14 = 31
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 5 at time 14 = 10
- value of cell 10 at time 14 = 45
then value of cell 7 at time 15 = 45
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
then the PC at time 15 = 1
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 3 at time 14 = 3
then value of cell 3 at time 15 = 3
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 4 at time 14 = 2
then value of cell 4 at time 15 = 2
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 5 at time 14 = 10
then value of cell 5 at time 15 = 10
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 6 at time 14 = 14
then value of cell 6 at time 15 = 14
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 8 at time 14 = 24
then value of cell 8 at time 15 = 24
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 9 at time 14 = 31
then value of cell 9 at time 15 = 31
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 10 at time 14 = 45
then value of cell 10 at time 15 = 45
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 12 at time 14 = 24
then value of cell 12 at time 15 = 24
- instruction #0 is
load dst=7 addr=5 imm=0
- the PC at time 14 = 0
- value of cell 13 at time 14 = 31
then value of cell 13 at time 15 = 31
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 6 at time 15 = 14
- value of cell 7 at time 15 = 45
then value of cell 14 at time 16 = 45
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
then the PC at time 16 = 2
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 3 at time 15 = 3
- value of cell 6 at time 15 = 14
then value of cell 3 at time 16 = 3
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 4 at time 15 = 2
- value of cell 6 at time 15 = 14
then value of cell 4 at time 16 = 2
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 5 at time 15 = 10
- value of cell 6 at time 15 = 14
then value of cell 5 at time 16 = 10
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 6 at time 15 = 14
- value of cell 6 at time 15 = 14
then value of cell 6 at time 16 = 14
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 8 at time 15 = 24
- value of cell 6 at time 15 = 14
then value of cell 8 at time 16 = 24
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 9 at time 15 = 31
- value of cell 6 at time 15 = 14
then value of cell 9 at time 16 = 31
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 10 at time 15 = 45
- value of cell 6 at time 15 = 14
then value of cell 10 at time 16 = 45
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 7 at time 15 = 45
- value of cell 6 at time 15 = 14
then value of cell 7 at time 16 = 45
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 12 at time 15 = 24
- value of cell 6 at time 15 = 14
then value of cell 12 at time 16 = 24
- instruction #1 is
store src=7 addr=6 imm=0
- the PC at time 15 = 1
- value of cell 13 at time 15 = 31
- value of cell 6 at time 15 = 14
then value of cell 13 at time 16 = 31
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 5 at time 16 = 10
then value of cell 5 at time 17 = 11
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
then the PC at time 17 = 3
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 3 at time 16 = 3
then value of cell 3 at time 17 = 3
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 4 at time 16 = 2
then value of cell 4 at time 17 = 2
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 6 at time 16 = 14
then value of cell 6 at time 17 = 14
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 8 at time 16 = 24
then value of cell 8 at time 17 = 24
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 9 at time 16 = 31
then value of cell 9 at time 17 = 31
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 10 at time 16 = 45
then value of cell 10 at time 17 = 45
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 7 at time 16 = 45
then value of cell 7 at time 17 = 45
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 12 at time 16 = 24
then value of cell 12 at time 17 = 24
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 13 at time 16 = 31
then value of cell 13 at time 17 = 31
- instruction #2 is
addi dst=5 src=5 imm=1
- the PC at time 16 = 2
- value of cell 14 at time 16 = 45
then value of cell 14 at time 17 = 45
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 6 at time 17 = 14
then value of cell 6 at time 18 = 15
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
then the PC at time 18 = 4
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 3 at time 17 = 3
then value of cell 3 at time 18 = 3
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 4 at time 17 = 2
then value of cell 4 at time 18 = 2
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 5 at time 17 = 11
then value of cell 5 at time 18 = 11
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 8 at time 17 = 24
then value of cell 8 at time 18 = 24
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 9 at time 17 = 31
then value of cell 9 at time 18 = 31
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 10 at time 17 = 45
then value of cell 10 at time 18 = 45
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 7 at time 17 = 45
then value of cell 7 at time 18 = 45
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 12 at time 17 = 24
then value of cell 12 at time 18 = 24
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 13 at time 17 = 31
then value of cell 13 at time 18 = 31
- instruction #3 is
addi dst=6 src=6 imm=1
- the PC at time 17 = 3
- value of cell 14 at time 17 = 45
then value of cell 14 at time 18 = 45
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 4 at time 18 = 2
then value of cell 4 at time 19 = 3
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
then the PC at time 19 = 5
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 3 at time 18 = 3
then value of cell 3 at time 19 = 3
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 5 at time 18 = 11
then value of cell 5 at time 19 = 11
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 6 at time 18 = 15
then value of cell 6 at time 19 = 15
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 8 at time 18 = 24
then value of cell 8 at time 19 = 24
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 9 at time 18 = 31
then value of cell 9 at time 19 = 31
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 10 at time 18 = 45
then value of cell 10 at time 19 = 45
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 7 at time 18 = 45
then value of cell 7 at time 19 = 45
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 12 at time 18 = 24
then value of cell 12 at time 19 = 24
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 13 at time 18 = 31
then value of cell 13 at time 19 = 31
- instruction #4 is
addi dst=4 src=4 imm=1
- the PC at time 18 = 4
- value of cell 14 at time 18 = 45
then value of cell 14 at time 19 = 45
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 3 at time 19 = 3
- value of cell 4 at time 19 = 3
then the PC at time 20 = 7
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 3 at time 19 = 3
then value of cell 3 at time 20 = 3
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 4 at time 19 = 3
then value of cell 4 at time 20 = 3
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 5 at time 19 = 11
then value of cell 5 at time 20 = 11
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 6 at time 19 = 15
then value of cell 6 at time 20 = 15
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 8 at time 19 = 24
then value of cell 8 at time 20 = 24
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 9 at time 19 = 31
then value of cell 9 at time 20 = 31
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 10 at time 19 = 45
then value of cell 10 at time 20 = 45
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 7 at time 19 = 45
then value of cell 7 at time 20 = 45
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 12 at time 19 = 24
then value of cell 12 at time 20 = 24
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 13 at time 19 = 31
then value of cell 13 at time 20 = 31
- instruction #5 is
beq left=3 right=4 imm=1
- the PC at time 19 = 5
- value of cell 14 at time 19 = 45
then value of cell 14 at time 20 = 45
- instruction #0 is
addi dst=1 src=0 imm=128
- the PC at time 0 = 0
then value of cell 1 at time 1 = 128