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Totals ==>2191018051362615106
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Ok?BPBSIBSQIF*IG*OIWUEUXXRV
Scope
YearAnswerID
Confidence
PromptExpectedOriginNear Miss
3
12021If the red light is on then three states from now it must be on917u5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
A possible misconception is the light stays on for all intermediate states
4
12021If the Red light is on (now/in the first slot?), then three steps later, it will be on again.qMyf4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
Maybe, since the "always" word isn't there, someone might think that this meant "whenever the Red light is on, it will be on again three steps later". Or, "whenever the Red light is on, it will only be on again three steps later".
5
12021If the Red light is on right now, it will be on in 3 time steps from nowgbrV5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
6
12021If Red is lit in the current state, then on the third state after the current one Red is also lit.rahc5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
7
12021If the Red light is on in this state, the Red light will also be on three states after this state.N3Cw4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
8
12021If the red light is on in the state 0, then in state 3 the red light must be on.ydkm4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
This does not mean that if the red light is on in any state, then three states later it will be red again, it only is true for state 0 as it does not use always.
9
12021Whenever the red light is on, in the next of next of next state, the red light is also on.31qw5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
Whenever the red light is on, in the subsequent three states, the red light is also on.
10
12021If the red light is on, it will be on three turns after this one.c9jy4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The red light is on every three turns.
11
1112021If in one state Red is in the Panel.lit, it will also in the Panel.lit in the two states after.3r045
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
12
12021If in the current state, the Red light is on, then in the state 3 states later, the Red light will be on.ptyk5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
A "near miss" might be: if in the current state the Red light is on, then it must remain on for the next 3 states.
13
12021If the red right is lit, then it will also be lit after three states.KXjz4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the red panel is lit, then it will be lit for the next three states.
14
12021Each time the red light is on, the red light must be on three traces later.iVk54
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
It's important to realize that (after {Red in Panel.lit}) triggers the left side of the implies statement. So, if the red light is on in trace 1, it will be on in trace 4, 7, 10, 13, etc.
15
12021If Red is lit now, it will also be lit 3 states from now.mxad4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If Red is lit, it will stay lit for at least three states. OR The red light is never off.
16
12021If the red light is on during the initial state, then three time steps later the red light is also on.rnC95
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the red light is on, then three time steps later the red light is also on. (assumes an "always")
17
12021If the Red light is lit, then the Red light will be lit in three light changes from now.8E1h4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the Red light is lit, then the Red light will be lit in three light changes from now, else the Red light will not be lit three light changes from now.
18
12021if the light is red it will be red again after 3 change of statessain5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
the light is always red
19
12021If the red light is on, then it will be on again in 3 turns.nieh5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
20
12021If the red light is on, it will be on in the third trace afterwardsuOG83
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
21
12021If the red light in on initially, then the red light is on in the fourth state.fsqw5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the red light in on in any state, then the red light is on three states later.
22
12021If the Red light is on, it will be on 3 states in the future.dznh4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the Red light is on, it will be on for the next 3 states.
23
12021If the Red light is on now, it will be one after 3 transitions.7opy5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
24
112021There is a Red light guaranteed on every 3rd cycle55oa3
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The Red light is *only* on every 3rd light. My reasoning: nothing specifies that the in between states can't be Red, just that every 3rd light must be Red
25
12021The red light currently being on means it will be on in the third state after the current one.vz2g4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
26
12021If the red light is lit in the current state, it will be lit again after three transitions (no constraints on the red light in between).cirf5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the red light is lit in the current state, it will stay lit for the next three states.
27
12021If the Red light is on, then the Red light will be on during the state that is three states in the future. If the Red light is not on, this no other conditions need to be met.fojf4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the Red light is on, then the Red light must have been on in the state that was three states before this state.
28
12021If the Red light is on now, then the Red light will be on in 3 time units.7jm24
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The Red light will be on every third time unit.
29
12021If the Red light is on, it will be on again after 3 traces.eolW5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The Red light is on every 3 traces.
30
12021If the red light is on, it will also be on after three turns (units of time corresponding to state changes).c1fn5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the red light is on, it will stay on over the next three turns.
31
12021If Red is lit in the current state, it will be lit in 3 states.nr654
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
Whenever the Red is lit, it will be lit in 3 states.
32
12021The red light will be lit every 3 time units given it is lit once at all.m0p65
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The red light will only be lit every 3 time units.
33
12021if the red light is lit in the current panel it should be lit after three states too.able5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
34
12021If the Red light is currently on, then it will be on 3 states in the future.1vwv5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the Red light is currently on, then it will be off on the next 2 states and back on in the 3rd future state (false because the formula doesn't constrain the state of the Red light between the current and 4th states).
35
12021When the red light is on in the current state, it's on 3 states in the future.yoxy4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
Whenever the read light is on, it's on 3 states in the future.
36
12021The red light is on 3 states following being on previously. (it blinks or is consistently on)DzoD4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The red light blinks
37
12021If the Red light is on initially, then it will also be on in 3 time steps.xqZA3
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The Red light will be on every 3 time steps.
38
12021When the red light is currently on, the next next next light will be red. ~= (If we call the current state as i, and if red light is currently on in state i, the red light will also be on in the state i+3)bxd45
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the current light is red then the before before before right was red. --Reason why this is wrong: Since it is "implies," we cannot guarantee that the red light won't be lit if the before before before light was not red. But I don't think this issue is about the LTL keywords, more about 'implies' generally.
39
12021If the red light is on, after 3 state changes (presumably light changes), the red light will be on againbx1r5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
40
12021If the red light is on, then the red light is on 3 states later.w4t34
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
41
12021If the Red light is on right now, then it is also on 3 time steps in the future.clU05
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
Any time the Red light is on, it is also on 3 time steps in the future.
42
12021If the red light is on right now, then after three states, the red light will also on.ndij5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
If the light is red right now, then after three states, the light will also be red.
43
12021If the red panel is lit, then the red panel must also be lit after 3 state transitions.tyos5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
44
12021If the Red light is on now, it will be on again after 3 states.ekny5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The Red light is on now and will be on in 3 states.
45
12021If the red light is on, it will also be on three states in the future.hDZG5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The red light follows a pattern that repeats every three states.
46
12021Whe the Red panel is lit, it will be lit again in 3 turns. (can you all them turns?)XU9x4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
47
12021If the red light is lit at a given timestep, it will also be lit 3 turns laterzf665
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The red light will be lit every three turns.
48
12021If the red light is on, then the red light will be on after two other turns.kkzx3
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
49
12021If the light is red right now, it will be red again in 3 time steps.yypq4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
50
12021If the Red light is currently lit, it will also be lit in three time steps.pfdd4
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
51
12021After a red light, three turns later there will be another red light.s0nv5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
The red light will occur three more times after the current red light.
52
12021If the red light is on, then it will also be on three time steps into the future.j9mq3
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
53
12021if red light is on, then after 3 states, red light is onj7t95
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
if one of the lights is red, then after 3 states, at least one of the lights is red
54
12021If the red panel is lit then it will also be lit three instances from now.n4vd5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
55
12021If the current panel has Red lit, then Red is lit exactly three states afterqjpx5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
56
12021If the Red light is currently only, the Red light will also be on 3 states later.kuaa3
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
Not sure if this classifies as a "near miss", but a misconception that a learner may have is that red can only be in lit only after it was already been in Panel.lit (thus creating a sort of paradox)
57
12021The red light being lit means that it will also be lit after 3 instances.XLuy3
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
58
12021If the Red light is on, it will be on again in three states.xeec5
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staff
59
12021If the panel's light is currently red, then the panel's light will be red again 3 turns later.duq84
Red in Panel.lit implies after { after { after { Red in Panel.lit } } }
if Red is initially lit, then it is also lit after three steps
staffN/A
60
12021Two states from now there will be some future state such that the state after it will have the red light on. To put in more mathematical terms (sorry) but in pseudo English : If the current state is i then there is a state i+2 and a state x such that x is greater than or equal to i+2 such that in x+1 the red light is on917u3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
There could be a lot of confusion about the nesting of the operators and what it means such as thinking that the state after has the red light on or that red light is on 3 states from now.
61
12021After the first two steps, there will be a step at which the Red light will be on directly after.qMyf4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
After the first three steps, the Red light will be on.
62
12021after 2 time steps, there is eventually a state x such that in the step after x, the red light is ongbrV4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The order of after might be confusing. i.e. inside out reading or outside to inside reading. i.e. After one step, there exists a state x, s.t. 2 steps after x the red light is on
63
12021Two states after the current state, eventually there will be a state in whose following state the red light is lit.rahc4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
64
12021At least three states after the current state, the Red light will be on.N3Cw3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
At least two states after the current state, the Red light will be on.
65
12021There is a state i, for i greater than equal to 2, where the next state has a Red light lit.ydkm3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
This does not mean that state 3 must be a red light, just that at some point at state 3 or later there must be a red light.
66
12021There is some state, excluding the first two states, in which the next state has the red light on.31qw5
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
67
12021The red light will be on at some point after at least three turns.c9jy3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
68
12021After two states, the Red will in the Panel.lit in the end.3r044
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
69
12021Assuming the current state is state i, beginning in state i+2, there will be a state >= i+2 in which the Red light is on in the next state.ptyk4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
70
12021The red light will be lit after three or more states.KXjz3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
After three or more states the red panel will always be lit.
71
12021The red light must be on for at least one trace where the trace is preceded by at least 3 traces.iVk54
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
It's easy to get confused when counting a string of "afters." For example, in this formula, the earliest trace that could satisfy the predicate is the fourth trace, not the third.
72
12021Starting 3 states from now, at some point the red light will be on.mxad3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
Starting 2 states from now, at some point the red light will be lit. OR At some point the red light will be lit.
73
12021Two time steps after the initial state, there will be a state where the red light is just about to turn onrnC95
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
74
12021At some point, the Red light is lit in the next light change.8E1h3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
75
12021after 3 change of states the light will eventually become redsain5
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
76
12021After 2 turns (on the third state), the Red light will be on at some point in the future excluding the next turn (third turn).nieh4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
In 2 states the Red light will be on at some point in the future.
77
12021eventually at some point in the future, the red light will be onuOG83
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
78
12021The red light is on in some state after and including the fourth state.fsqw5
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The red light turns on in some state.
79
12021The Red light will be on at some point at least 3 states in the future.dznh4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The Red light will only turn on at least 3 states in the future.
80
12021The Red light will be on after at least 3 transitions.7opy5
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
81
12021In 2 states, there will be a Red light one or more states away55oa2
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
82
12021At some point after the second state after the current, Red will be lit, i.e. there will be some state from 3->infinity (0 being the current) that has Red lit.vz2g4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
At some point after the third state after the current, Red will be lit, i.e. there will be some state from 4->infinity (0 being the current) that has Red lit.
83
12021The red light is lit at some point after the third state.cirf4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The red light is lit at some point after the fourth state.
84
12021Starting in the state that is two states in the future, there will be some state at that time or at a later time such that the Red light is lit in the following statefojf3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
85
12021The Red light will be on sometime after 3 time units.7jm24
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The red light will always be on after 3 time units.
86
12021The Red light will eventually be on, on the 3rd trace or later.eolW4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
87
12021There exists some state (suppose its index is s), at or after two states beyond the current state, such that the red light is on in the (s + 1)th state.c1fn4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
There exists a state at or beyond the current one where the red light is on.
88
12021In 2 states, there will eventually be some state whose succeding state has Red lit.nr653
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
In 2 states, Red will eventually be lit.
89
12021After 3 time units, the red light will be lit on the panel at some point in the futurem0p65
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
90
12021After two states and the red light is lit eventually after one other stateable3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
91
12021Two states in the future, the Red light will eventually be on in the next state (i.e. the Red light will definitely be on at least 3 states in the future).1vwv4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The Red light will not be on until at least 3 states in the future (false because the formula does not say anything about the Red light in the current or next 2 states).
92
12021In two states from the current state, in some future state, the state after that state will have the red light on.yoxy4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
93
12021Red light will be on at some point following 3 states from nowDzoD3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
94
12021The Red light will be on at some point after 3 time steps.xqZA3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
95
12021At any state, the next next state "i" has a possibility that the red light is on some point after that state("i"). ~= (for any state i, the red light is (guaranteed to be) on at some point starting from i+3) ~= (the red light is on some point after after after the first state.)bxd43
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
96
12021After two state changes, there will eventually be a state such that in the next, the red light will be onbx1r4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
97
12021Two states later, there will eventually be a state where the red light will turn on.w4t33
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
98
120212 time steps in the future, it will be the case that, eventually, the Red light is on in the next time step.clU04
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
99
12021Starting from the 4th state, the red light will eventually turn on at some point.ndij3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
I think it's easy to mix up with the following formula, but I'm not sure how they are different. after { after { after { eventually { Red in Panel.lit } } } }
100
12021after 2 state transitions, it must be the case that eventually you will find a state after which the red panel is lit.tyos4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
101
12021In two states, there will eventually be a state where the Red light is on in the next state.ekny4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The Red light will eventually be on.
102
12021Sometime after the first three states, the red light will be on.hDZG4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
Sometime after the first two states, the red light will always be on.
103
12021The red panel will be lit sometime after 2 turns.XU9x4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
104
12021The red light will be lit at at least one time step after the third timestep.zf664
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
The red light will be lit at at least one time step after the second/fourth timestep.
105
12021The red light will eventually be on.kkzx2
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
106
12021after 2 time steps, the red light will turn on after 1 time step eventuallyyypq3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
after 2 time steps, the red light will turn on eventually
107
12021At some point after two time steps have passed, the Red light will be about to be lit.pfdd4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
108
12021The red light will appear at least three turns later.s0nv3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
109
12021The red light is on at least once in the future beyond the next 2 time steps.j9mq4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
110
12021there is some state after the first 3 states, such that the red light is onj7t95
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
there is some state such that the red light is on
111
12021There is some instance where the red panel is lit which is not the first or second instance.n4vd3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
112
12021Red is lit sometime from the fourth states (from the beginning) onwardqjpx3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
113
12021After two states, Red will eventually be in Panel.litkuaa4
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
A misconception that a learner may have is that this may never work, since the after is placed after eventually. However, it important to note that eventually { after { }} can also be classified as eventually.
114
12021After two instances of the red light being litXLuy1
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
115
12021In the third state, there will eventually be a Red lightxeec3
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staff
116
12021After the two initial turns, there will eventually be a turn whose next turn has red light in the panel.duq84
after { after { eventually { after { Red in Panel.lit } } } }
Red is lit after 3 or more steps
staffN/A
117
12021If the red light will be on now or in some future state that means the blue light must always be on.917u4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
The red light will eventually be on . The blue light is always on.
118
12021If the Red light will be on in the future, then the Blue light is always on.qMyf5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
Whenever the Red light is lit, the Blue light is always lit.
119
12021If there eventually exists a state where the red light is on, then the blue light needs to be always ongbrV5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
120
12021If the red light is eventually lit at some point in the future, then blue light is always lit from now till the end.rahc3
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
121
12021If there is a current or future state where the Red light is on, then the Blue light is always on in all states.N3Cw4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
122
112021At some point in the trace, a red light implies that every color after that red light is blue.ydkm4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
This does not mean that any red light implies that it will always be blue after.
123
12021If red is ever going to be on, then blue is always on.31qw5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
Reading it as eventually ({ Red in Panel.lit } implies always { Blue in Panel.lit }) instead of (eventually { Red in Panel.lit }) implies (always { Blue in Panel.lit })
124
12021If the red light turns on at some point, then the blue light is on.c9jy4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
125
12021If Red is in the Panel.lit in the end, Blue will always in the Panel.lit.3r045
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
126
12021If there exists some state now or in the future in which the Red light is on, then the Blue light is always on (beginning now, not when the Red light is on)ptyk5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If there exists some state now or in the future in which the Red light is on, then the Blue light is always on beginning at the state in which the Red light is on
127
12021If the red light is ever lit, then the blue light will always be lit.KXjz5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
At some later late, it will always be that if the red light is on the blue light will be on.
128
12021If the red light ever turns on, the blue light is always on.iVk55
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
129
12021Blue is always lit (starting now) if red ever turns on.mxad4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If red is ever lit, blue has been and will always be on.
130
12021If the red light is going to turn on then the blue light is always onrnC95
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
131
12021if the Red light is lit at some point, then the Blue light will be lit though out all of the possible states8E1h4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
132
12021if the light becomes red then the light will always be bluesain3
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
133
12021If the red light will be on at some point in the future, then the blue light is always on.nieh5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
134
112021if the red light is on at some point in the future, then after that the blue light will always be onuOG84
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
135
12021If the red light ever turns on, then the blue light must always be on.fsqw5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
136
112021If the Red light ever turns on, the Blue light must always be on in the future.dznh4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
The Red light will eventually turn on and the Blue light must have never been off.
137
12021If the Red light is on or will be on, the Blue light is always on.7opy3
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
At some point in the future, the Red light is on and the Blue light is always on after that.
138
12021The Blue light is on as long as the Red light will be on at some point55oa4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
139
12021If Red is lit at some point in the future, then Blue must always be lit.vz2g4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
140
12021There is a state after which either the red light is never lit or the blue light is always lit.cirf4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
There is a state after which the red light and blue light are either both on or both off.
141
12021If there is some state now or in the future such that the Red light is on, then the Blue light is on at every state in the past, present, and future.fojf4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If there is some state now or in the future such that the Red light is on, then the Blue light is on at every state in the present and future.
142
12021If the Red light will eventually be on, then the Blue light must always be on.7jm24
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
143
12021If the Red light is ever on, the Blue light is always on.eolW5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If the Blue light is always on, the red light will be on sometime.
144
12021If there is a state at or beyond the current state where the red light is on, then the blue light is always on.c1fn5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If there exists a state at or beyond the current one where the red light is on, then the blue light has always been on.
145
12021If Red is ever lit in the future, then Blue is always lit.nr654
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
Blue is always lit and Red will eventually be lit.
146
12021If the red light is ever lit, the blue light is always on.m0p65
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
147
112021The light red is lit eventually in a future state after the current state and after that the blue light is always lit.able4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
148
12021If the Red light will be on at some point in the future, then the Blue light will always be on.1vwv4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If the Red light is on at some point in the future, then the Blue light will be on from that point forward (false because `eventually` applies to `{Red in Panel.lit}`, not the entire formula -- and `always` doesn't work that way anyway).
149
112021If the red light ever becomes lit in a future state, the blue light will then be on for all future states from that state (inclusive)yoxy1
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
150
12021Red will only ever turn on if Blue is never off.DzoD5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
red can only turn on while blue is on
151
12021If the Red light is on at some point, then the Blue light would always have to be on.xqZA3
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
152
12021If the red light is on at some point, blue light is always on.bxd44
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
153
12021If the red light eventually turns on, then the blue light is always onbx1r4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
154
112021When the red light turns on, the blue light will always stay on.w4t34
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
155
12021If the Red light is eventually on, then the Blue light is always on.clU05
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
156
12021If the red light eventually turns on at some point, then the blue light is always on.ndij5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
157
12021If the red panel will be lit eventually, that means the blue panel is lit and will always be lit (ok I'm now learning multiple panels may be lit @same time).tyos4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
158
12021If the Red light will be on eventually, the Blue light will always be on.ekny3
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
Eventually, the Red light will be on and the Blue light will always be on.
159
12021If the red light is ever on, the blue light will always be on.hDZG4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If the red light ever turns on, the blue light will at that point turn on and stay on. (Unless I got the order of operations wrong, in which case my first answer is wrong and this one is right.)
160
12021After a certain point, the Red panel will only ever be lit when the Blue panel is lit.XU9x5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
161
12021If the red light is ever lit, the blue light will always be lit both before and after the red light lights up.zf665
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
When the red light lights up, the blue light will light up and remain lit.
162
12021If the blue light is not always on, then the red light will not be on in the future.kkzx3
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
163
12021If the red light eventually turns on, then the blue light should always be onyypq5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
164
12021If Red is ever lit, Blue is always lit.pfdd5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
165
12021If the red light is ever on, then the blue light will always be on.s0nv5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
166
12021If the red light turns on at some point in the future, then the blue light will always be on from the current time step forward.j9mq4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
If the red light turns on in the future, then the blue light will always be on from that point forward.
167
12021if red light will ever be on, then blue light is always onj7t95
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
168
12021If the red panel is lit at some point then the blue panel is always litn4vd5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
169
12021If Red is eventually lit in some state, then blue will be lit in every stateqjpx3
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
170
12021If Red is ever in Panel.Lit, that must mean that for all states, Blue must always be in Panel.Litkuaa5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
That the implies in this case means that Blue always being in Panel.lit mean that Red should eventually be in Panel.lit (this is not necessarily the case)
171
12021The red light being lit means that the blue light is always lit.XLuy4
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
172
12021If the red light will ever be on in a future state, then the blue light is always onxeec5
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staff
173
12021If the panel will eventually shine red, then the panel will always have blue light.duq84
eventually { Red in Panel.lit } implies always { Blue in Panel.lit }
if Red is eventually lit then Blue is always lit
staffN/A
174
12021The red light is on until the blue light is turned on and the red light is always on. Essentially the red light is always on.917u4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is always on until the blue light is turned on.
175
12021The Red light is always lit.qMyf4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
Not a near miss, but I'm pretty sure the first half doesn't matter?
176
12021The red light is on until the blue light is turned on, and the red light is always onegbrV5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
177
12021Two conditions are true: 1) red light is lit until blue light gets lit, 2) red light is always lit.rahc4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
178
12021The Red light is on in all states from now until the state where the Blue light is on, and the Red light is always on.N3Cw4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
179
12021Red will be lit in every state from state 0 until a state where blue is lit, and also red is always lit.ydkm4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
Red is lit until the blue light is lit and from then on red is no longer lit, and also red is always lit.
180
12021Red is on in this and all subsequent states, and in this state or in some subsequent state, blue is on.31qw5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
Red is on in all states before and after, and blue is on in all states after.
181
12021The red light is on and the blue light eventually turns on.c9jy4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is on until the blue light is turned on.
182
112021Red will always in the Panel.lit and Blue will never in the Panel.lit.3r045
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
183
112021The Red light is on in all states from now until the Blue light is on and the Red light is aways on. This will only be true if the Blue light is never on.ptyk5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The Red light is on until the Blue light is on, but then will be on again after.
184
12021The red light will be lit until the blue light is lit and the red light will always be lit.KXjz4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
185
12021The red light is always on, and the blue light is on in at least one trace.iVk55
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The blue light being on does not imply that the red light must be off -- "once" doesn't enforce anything about the LHS formula after the RHS formula holds.
186
112021The Red light is always on, and the Blue light is never on.mxad3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is on until the blue light is turned on (I say this because this kind of implies that this is a possibility, whereas in my answer I try to convey that it isn't)
187
12021the red light is always on and the blue light is always either on or going to turn on in the future.rnC95
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
188
112021The red light is lit until the Blue light is lit, but since the Red light is always lit, the Blue light is never lit.8E1h3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
189
12021the light is always redsain5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
190
12021The red light is always on, but the red light is on until the the blue light is on, meaning there could be a contradiction.nieh5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
191
12021the red light will always be on, at some point the blue light will be onuOG83
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
192
12021The red light is always on and the blue light is on in some state.fsqw5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is always on and the blue light turns on in some state, after which it remains on.
193
12021The Red light is always on, and the Blue light will turn on in the future.dznh3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The Red light is always on, and the Blue light will never turn on.
194
12021The Red light is always on. The Blue light will be on.7opy5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
195
112021The Red light only turns off when the Blue light is on, but the Red light is always on55oa3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
196
112021Blue is never lit.vz2g4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
197
12021The red light is always on and the blue light eventually turns on at some point.cirf4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is always on and the blue light never turns on.
198
12021The Blue light will be on at some point in the present or future, and the Red light is always litfojf4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The Red light is on until the Blue light turns on at which point the Red light turns off. So, this formula is always unsatisfiable because the Red light is not always on.
199
12021The red light is always on.7jm23
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
200
112021The Red light is always on. The Blue light is never on.eolW5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
201
112021The red light must stay on until the blue light turns on for the first time at or beyond the current state AND the red light must always stay on. This reduces to an obligation for the red light to always on stay for all states including and beyond the current one.c1fn4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light must stay on until the blue light turns on for the first time and must remain off after that AND the red light must always stay on. This implies the blue light must never turn on.
202
1112021The Red is constantly lit until (if ever) the Blue becomes perpetually lit, at which point the Red will be perpetually unlit. Additionally, the Red is always lit.nr653
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
Before some state, Red is always lit. After some state, Blue is always lit. And Red is always lit.
203
12021The red light is always litm0p65
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
204
12021The red light is always litable4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
205
12021The Red light is always on and the Blue light is on at some point in the future.1vwv5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
UNSAT - Red will never turn off so Blue will never turn on, meaning the `until` is not satisfied (false because the first formula of `until` does not need to be false when the second formula is satisfied, so Red can be on forever and the `until` only guarantees that Blue is eventually on).
206
112021Red will always be lit, blue will never be lit.yoxy4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
207
112021Red is always on, blue is never onDzoD3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
Red turns off once blue turns on
208
12021The Red light is always on.xqZA3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
209
112021The red light is always turned on, and the Blue light is never on.bxd43
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The learner might not understand that the blue light is never on.
210
12021The red light is always on. The blue light may turn on.bx1r4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
211
12021The red light is always on until the blue light is on, and the red light remains always onw4t33
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
212
12021The Red light is on until the Blue light is on, and the Red light is always on.clU05
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
213
12021The red light is always on no matter what, and the blue light is on at some point.ndij4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is always on until the blue light is on, and the red light turns off after the blue light is on.
214
112021Red panel will be lit in every state until (non-incl) Blue panel is lit. Also, Red panel is always lit. (so the first statement is kind of useless then).tyos4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The incl/non-incl aspect of until is tricky. I'd refer to docs to make sure which it is.
215
12021The Red light will always be on.ekny3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The Red light will always be on until the Blue light is on.
216
12021The red light is always on, and the blue light turns on at some point.hDZG5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is always on, and the blue light never turns on.
217
12021The red panel will stay lit until the Blue panel becomes lit (after which point its possible, but not guaranteed, that it will turn off), and the red panel will ways be lit.XU9x4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red panel will stay lit until the Blue panel becomes lit (after which it must turn off), and the red panel will ways be lit. This would result in the blue panel never turning on
218
12021The red light will always be lit, and the blue light may light up at some point.zf665
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light will always be lit, and the blue light will never light up.
219
112021The red light is always on and the blue light will never be on.kkzx2
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
220
12021The red light will be on until the blue light is on and the red light is always onyypq2
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
221
12021Red will be lit at least until blue is lit, and red will always be lit.pfdd5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
222
12021The red light is always lit, and the blue light is also lit at some point in times0nv3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
UNSAT: Could misinterpret red light on until blue light on as saying that the red light is not on once the blue light is on, which would contradict always {Red in Panel.lit}
223
12021The red light is always lit and the blue light is lit at least once in the future.j9mq5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
The red light is always lit and the blue light isn't constrained.
224
12021if red light is always on before blue light is ever on, then red light is always onj7t94
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
225
12021The red panel should always be litn4vd3
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
226
12021Red is always lit and Blue is eventually lit in some stateqjpx4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
227
12021In all states before Blue is in Panel.lit, red is in Panel.lit. Also, Red is always lit. Important to note that this is satisfiable as Red can be in Panel.lit even after Blue is in Panel.litkuaa4
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
That this would not be satisfiable, as Blue cannot be in Panel.lit until Red ceases to be in Panel.lit.
228
12021The red light is lit until the blue light turns on and the red light is always lit.XLuy2
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
229
12021The red light is always onxeec5
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staff
230
12021The Panel's light will always be red until it turns blue, and the light will always be red.duq84
{ Red in Panel.lit until Blue in Panel.lit } and always { Red in Panel.lit }
Blue is eventually lit and Red is always lit
staffN/A
231
12021For any given state if the red light is on then in the next state it is off and then two states from now it is on again.917u4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
For any given state if the red light is on then in the next state it is off and then three states from now it is on again.
232
12021Whenever the Red light is lit, it will not be lit one step later, and it will be lit two steps later.qMyf4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
233
12021It is always true that in every state, if the read light is on, it will not be on in the next step and it will be on again in 2 steps.gbrV5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
234
12021It is always the case that: if red light is lit, then red light is not lit in the following state and red light is lit again in the state that follows that (ie. two states from now).rahc4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
235
12021It's always true that if the Red light is on, then the Red light will not be on in the next state and the Red light will be on in the state after that.N3Cw3
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
236
12021For any state i, red being lit implies that in state i+1 red must not be lit, and in state i + 2 red must be lit.ydkm5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
237
12021Whenever red is on in a state, it is off in the next state, and on again in the state thereafter.31qw5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
238
12021If the red light is on, then the red light turns off on the next turn, and then turns back on two turns from now.c9jy4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
239
12021In every state, if in one state, Red is in the Panel.lit, the next state it will not in the Panel.lit and come back after two states.3r044
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
240
12021In all states, it will be true that, if the Red light is on, in the next state it will not be on, and in the state that follows the next state (i+2), the Red light will be on again.ptyk5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
If the Red light is always on, then in the next state, the Red light will be off, but then will turn back on again in the following state.
241
12021it will always be that if the red light is lit then red will not be lit in the next state and it will be lit two states later.KXjz5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
242
12021Once the red light is on, for all of the remaining traces, the red light switches from on to off or off to on in each trace.iVk55
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
243
12021If the red light is not off, it must be flickering (turning on and off consecutively)mxad4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The red light must be flickering (turning on and off consecutively).
244
12021If the red light ever turns on it will blink on and off foreverrnC95
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
245
12021It will always be true that if Red is lit, Red is not lit in the next light change and Red will be lit in the light change two changes in the future.8E1h4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
At some point the light pattern for Red is on-off-on.
246
12021the light will never stay in red after a change of state and, if it becomes red, it will be red again after two change of statessain4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
247
12021From now on, whenever the red light is on, in the next turn it will be off, and in the turn following that it will be on again.nieh5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
248
12021the red light will always alternate being on and offuOG85
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
249
12021If at any point the red light is on, then it must be off in the next state and on in the state after the next state.fsqw5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
If at any point the red light is on, then it must be off in the next state and on two states after the next state.
250
12021If the Red light ever turns on, it will blink on and off forever.dznh4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The Red light will blink on and off forever.
251
12021If the Red light is on, it will be off in the next state and be on again in the next of the next state.7opy5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
252
12021The Red light blinks from on to off to on to off (repeated forever)55oa4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The red light goes from on to off, then a break (where it can either be off or on), then it turns back on again
253
12021Red alternates on and off through each state forever, provided it is currently on.vz2g4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
Red alternates on and off through each state forever.
254
12021If the red light ever turns on, it will alternate being on and off forever after.cirf4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The red light is always "flickering" (on in one state, off in the next, on in the one after that, etc.).
255
12021For every state, if the Red light is on in the given state, the Red light will not be on in the following state, and the Red light will be on in the state that occurs two states in the futurefojf5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
256
112021If the red light is on now, then it won't be on in the next time unit, but it will be on in 3 time units.7jm24
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
257
12021If the Red light is on, it will turn off in the next trace, and then turn on again. This will repeat forever. (The Red light alternates on and off forever)eolW5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
258
12021If the red light is ever on (suppose this happens in the state with index s), then it will follow a cycle where it is on for all states (s + 2k) and off for states (s + 2k + 1), where k is a non-negative integer. It is also possible that the red light never turns on.c1fn4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The red light will always follow a cycle of being alternately on and off.
259
12021Whenever Red is lit, the next state will have Red be unlit and in 2 states, Red will be lit again.nr654
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
Red alternates from being lit and unlit (could never be lit).
260
12021The red light is blinking on and off, given it turns on once.m0p65
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
261
12021Whenever a red light is lit. The one state is after the light is not lit and two states after the light is lit again.able4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
262
12021It is always true that if the Red light is currently on, then it will be off in the next state and back on in the state after that.1vwv5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The Red light constantly switches between on and off in each subsequent state (false because the Red light may always be off, so it never invokes the `always` requirement).
263
12021In all states, if red is lit in the current state, then in the next state red wont be lit, and two states from the current state red will be lit.yoxy4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
264
12021Red light is constantly blinking. On 2 states off 1DzoD3
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
265
12021Whenever the Red light turns on, it will then turn off, then will turn on back again (the first time it's on will start a cycle).xqZA3
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
266
12021When the red light is on this state, it won't be on the next state, but it will be on the next next state. This repeats. Red light: OXOXOXOXO ( for example..)bxd43
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
267
12021In every state, if the red light is on, then the red light wont be on in the next state, and will be on in the state after nextbx1r5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
268
12021If the red light is ever on, the red light is not afterwards, and it turns on two states later.w4t34
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
269
12021Whenever the Red light is on, it is not on in the next time step, but it is on 2 time steps later.clU05
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
270
12021This rule is always true: if the red light is on, then one state after the red light is off, and two states after the red light is on.ndij5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
271
12021Its always the case that a red panel lit state implies that the next state will not be red panel lit and the following state will be red panel lit. This is like an alternating on/off trace.tyos5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
272
12021The Red light will constantly switch between on and off states.ekny4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
273
12021If the red light ever turns on, it then starts blinking forever with a period of 2.hDZG5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The red light will blink forever with a period of 2.
274
12021Once the panel has been lit once, the panel will turn off and on forever (at intervals of one turn).XU9x5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
275
12021If the red light ever turns on, it will start blinking (alternating on and off each timestep) forever.zf665
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The red light will blink (alternate on and off each timestep) forever.
276
12021It is always the case that if the red light is on, it will not be on the next turn, but it will be on the next next turn.kkzx2
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
277
12021It is always true that if the red light is on, in the next time step the red light will not be on and the red light will be back on in 2 time stepsyypq3
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
278
12021If red is ever lit, it will then continually blink off and on.pfdd5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
279
12021The red light will be on in every other state and off in the remaining states. (Pattern: Red = On, Red = Off, Red = On...)s0nv4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
280
12021if red is ever lit, then it will always alternate between unlit and lit in future time steps. Otherwise red is never lit.j9mq4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
281
12021whenever red is on, it turns off and back on alternatelyj7t94
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
282
12021If the red panel is lit, then it should not be lit in the instance after but it should be lit in the instance after that.n4vd5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
The red panel is lit every other instance starting with the first.
283
12021If Red is lit in some state, then it will not be lit in the next state, but will be lit again in two states after. In another word, Red light is alternating between lit and not lit.qjpx5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
284
12021In all cases/states, if Red is in Panel.lit in a given state, Red is not in Panel.lit in the following state. However, if Red is in Panel.lit in a given state, Red is in Panel.lit two states later. If we were to condense this, this would basically mean once Red is in Panel.lit, it is in Panel.lit in every other state.kuaa4
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
Once red is in panel.lit, red can never again be in panel.lit due to the corresponding "after"
285
12021It's always the case that the red light being lit means that immediately afterwards it is not lit but two instances after it becomes lit again.XLuy3
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
286
12021The red light will be on in every other statexeec5
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staff
287
12021For all turns, if the panel is red in the current turn, then the next turn the panel won't be red, but in the next next turn, the panel would be red again.duq84
always { Red in Panel.lit implies { after { Red not in Panel.lit } and after { after { Red in Panel.lit } } } }
whenever Red is lit, it turns off in the next state and on again in the state after that
staffN/A