ABCDEFGHIJKLMNOPQRSTUVWXYZAAAB
1
Totals ==>66000000021030072
2
Ok?BPBSI
BSQ
IFIGOIWUEUXXLenRV
Scope
AnswerExplanationIDFormulaTraceExpected
3
R_3MS5InthwHWtaZT
G(F(r)){r} {} {} {r}Yes
4
1Yes
equivalent to last(red)
R_3G88D8gpZ7v63nz
G(F(r)){r} {} {} {r}Yes
5
1Yes
R_3Dw4BW8x0ynmmQm
G(F(r)){r} {} {} {r}Yes
6
1Yes
R_DSlVV5XN50E2Mzn
G(F(r)){r} {} {} {r}Yes
7
1Yes
R_WByy6AuVYHXV65H
G(F(r)){r} {} {} {r}Yes
8
1Yes
R_vvG6iiXnXM4vZJv
G(F(r)){r} {} {} {r}Yes
9
R_9Td5mdNtgffkvJL
G(F(r)){r} {} {} {r}Yes
10
1Yes
R_9ukqO8kCEIR4pLb
G(F(r)){r} {} {} {r}Yes
11
R_2saTh9ICAgM0BHV
G(F(r)){r} {} {} {r}Yes
12
1Yes
R_3J3NZWyA2hcl5by
G(F(r)){r} {} {} {r}Yes
13
1Yes
R_1mfLnqhYsR97vhv
G(F(r)){r} {} {} {r}Yes
14
1Yes
The last state must always contain red, which is the case in the trace
R_VHZdlnCi0wPqPGF
G(F(r)){r} {} {} {r}Yes
15
1Yes
R_0ize6N4UFi1irrb
G(F(r)){r} {} {} {r}Yes
16
R_3kpTXi28NBbr8mO
G(F(r)){r} {} {} {r}Yes
17
R_3Rt21EZCScgM3oC
G(F(r)){r} {} {} {r}Yes
18
R_enENzp0guuxVGwh
G(F(r)){r} {} {} {r}Yes
19
R_1g8tSbzTTgxijrd
G(F(r)){r} {} {} {r}Yes
20
R_3M5V4sL4b6COyD2
G(F(r)){r} {} {} {r}Yes
21
1Yes
R_23fQaq1kM65aSP7
G(F(r)){r} {} {} {r}Yes
22
R_1QFcce33iJrOdLO
G(F(r)){r} {} {} {r}Yes
23
1Yes
R_2EnQzWu9HQsIjn8
G(F(r)){r} {} {} {r}Yes
24
1Yes
It is required that, for each step, at a certain point Red holds. This is trivially true since Red is true in the end.
R_R9tc8AnNRKwPdkd
G(F(r)){r} {} {} {r}Yes
25
1Yes
there is always a red state in the future
R_2QPzqLc2iRGU0Jd
G(F(r)){r} {} {} {r}Yes
26
1Yes
R_3EO18al85qREqgF
G(F(r)){r} {} {} {r}Yes
27
R_3MS5InthwHWtaZT
r U (!r){r} {r} {r}No
28
1No
R_3G88D8gpZ7v63nz
r U (!r){r} {r} {r}No
29
1NoRed Must go off
R_3Dw4BW8x0ynmmQm
r U (!r){r} {r} {r}No
30
R_DSlVV5XN50E2Mzn
r U (!r){r} {r} {r}No
31
1No
R_WByy6AuVYHXV65H
r U (!r){r} {r} {r}No
32
R_vvG6iiXnXM4vZJv
r U (!r){r} {r} {r}No
33
R_9Td5mdNtgffkvJL
r U (!r){r} {r} {r}No
34
1No
R_9ukqO8kCEIR4pLb
r U (!r){r} {r} {r}No
35
R_2saTh9ICAgM0BHV
r U (!r){r} {r} {r}No
36
R_3J3NZWyA2hcl5by
r U (!r){r} {r} {r}No
37
1Yes
R_1mfLnqhYsR97vhv
r U (!r){r} {r} {r}No
38
R_VHZdlnCi0wPqPGF
r U (!r){r} {r} {r}No
39
R_0ize6N4UFi1irrb
r U (!r){r} {r} {r}No
40
R_3kpTXi28NBbr8mO
r U (!r){r} {r} {r}No
41
R_3Rt21EZCScgM3oC
r U (!r){r} {r} {r}No
42
R_enENzp0guuxVGwh
r U (!r){r} {r} {r}No
43
1No
R_1g8tSbzTTgxijrd
r U (!r){r} {r} {r}No
44
1No
R_3M5V4sL4b6COyD2
r U (!r){r} {r} {r}No
45
R_23fQaq1kM65aSP7
r U (!r){r} {r} {r}No
46
1Yes
R_1QFcce33iJrOdLO
r U (!r){r} {r} {r}No
47
R_2EnQzWu9HQsIjn8
r U (!r){r} {r} {r}No
48
wrong explanation
1No
This should not be satisfied because it is required in at least one step that Red and !Red are true at the same time.
R_R9tc8AnNRKwPdkd
r U (!r){r} {r} {r}No
49
1Nored until the end
R_2QPzqLc2iRGU0Jd
r U (!r){r} {r} {r}No
50
1No
R_3EO18al85qREqgF
r U (!r){r} {r} {r}No
51
R_3MS5InthwHWtaZT
F(!X(r)){r} {r}Yes
52
R_3G88D8gpZ7v63nz
F(!X(r)){r} {r}Yes
53
R_3Dw4BW8x0ynmmQm
F(!X(r)){r} {r}Yes
54
R_DSlVV5XN50E2Mzn
F(!X(r)){r} {r}Yes
55
R_WByy6AuVYHXV65H
F(!X(r)){r} {r}Yes
56
1Yes
R_vvG6iiXnXM4vZJv
F(!X(r)){r} {r}Yes
57
1Yes
R_9Td5mdNtgffkvJL
F(!X(r)){r} {r}Yes
58
R_9ukqO8kCEIR4pLb
F(!X(r)){r} {r}Yes
59
1Yes
R_2saTh9ICAgM0BHV
F(!X(r)){r} {r}Yes
60
Mlast1No
R_3J3NZWyA2hcl5by
F(!X(r)){r} {r}Yes
61
R_1mfLnqhYsR97vhv
F(!X(r)){r} {r}Yes
62
R_VHZdlnCi0wPqPGF
F(!X(r)){r} {r}Yes
63
Mlast1No
R_0ize6N4UFi1irrb
F(!X(r)){r} {r}Yes
64
1Yes
R_3kpTXi28NBbr8mO
F(!X(r)){r} {r}Yes
65
R_3Rt21EZCScgM3oC
F(!X(r)){r} {r}Yes
66
1Yes
R_enENzp0guuxVGwh
F(!X(r)){r} {r}Yes
67
R_1g8tSbzTTgxijrd
F(!X(r)){r} {r}Yes
68
R_3M5V4sL4b6COyD2
F(!X(r)){r} {r}Yes
69
R_23fQaq1kM65aSP7
F(!X(r)){r} {r}Yes
70
R_1QFcce33iJrOdLO
F(!X(r)){r} {r}Yes
71
R_2EnQzWu9HQsIjn8
F(!X(r)){r} {r}Yes
72
R_R9tc8AnNRKwPdkd
F(!X(r)){r} {r}Yes
73
Mlast1No
!red does never happen
R_2QPzqLc2iRGU0Jd
F(!X(r)){r} {r}Yes
74
R_3EO18al85qREqgF
F(!X(r)){r} {r}Yes
75
1No
R_3MS5InthwHWtaZT
F(X(!r)){r} {r}No
76
1No
The eventuallity is not true in the first state (because R holds in the next), and it is not true in the second (i.e., last) state because it is a strong next.
R_3G88D8gpZ7v63nz
F(X(!r)){r} {r}No
77
1No
R_3Dw4BW8x0ynmmQm
F(X(!r)){r} {r}No
78
1No
R_DSlVV5XN50E2Mzn
F(X(!r)){r} {r}No
79
R_WByy6AuVYHXV65H
F(X(!r)){r} {r}No
80
R_vvG6iiXnXM4vZJv
F(X(!r)){r} {r}No
81
1No
R_9Td5mdNtgffkvJL
F(X(!r)){r} {r}No
82
R_9ukqO8kCEIR4pLb
F(X(!r)){r} {r}No
83
R_2saTh9ICAgM0BHV
F(X(!r)){r} {r}No
84
R_3J3NZWyA2hcl5by
F(X(!r)){r} {r}No
85
1No
R_1mfLnqhYsR97vhv
F(X(!r)){r} {r}No
86
1No
A state, after the first one, must exist without a red light, which is not the case
R_VHZdlnCi0wPqPGF
F(X(!r)){r} {r}No
87
R_0ize6N4UFi1irrb
F(X(!r)){r} {r}No
88
R_3kpTXi28NBbr8mO
F(X(!r)){r} {r}No
89
1No
R_3Rt21EZCScgM3oC
F(X(!r)){r} {r}No
90
1No
R_enENzp0guuxVGwh
F(X(!r)){r} {r}No
91
R_1g8tSbzTTgxijrd
F(X(!r)){r} {r}No
92
R_3M5V4sL4b6COyD2
F(X(!r)){r} {r}No
93
R_23fQaq1kM65aSP7
F(X(!r)){r} {r}No
94
1No
R_1QFcce33iJrOdLO
F(X(!r)){r} {r}No
95
1No
R_2EnQzWu9HQsIjn8
F(X(!r)){r} {r}No
96
R_R9tc8AnNRKwPdkd
F(X(!r)){r} {r}No
97
R_2QPzqLc2iRGU0Jd
F(X(!r)){r} {r}No
98
R_3EO18al85qREqgF
F(X(!r)){r} {r}No
99
1Yes
R_3MS5InthwHWtaZT
F(G(r)){} {} {} {r}Yes
100
R_3G88D8gpZ7v63nz
F(G(r)){} {} {} {r}Yes
101
R_3Dw4BW8x0ynmmQm
F(G(r)){} {} {} {r}Yes
102
R_DSlVV5XN50E2Mzn
F(G(r)){} {} {} {r}Yes
103
R_WByy6AuVYHXV65H
F(G(r)){} {} {} {r}Yes
104
1Yes
R_vvG6iiXnXM4vZJv
F(G(r)){} {} {} {r}Yes
105
R_9Td5mdNtgffkvJL
F(G(r)){} {} {} {r}Yes
106
1Yes
R_9ukqO8kCEIR4pLb
F(G(r)){} {} {} {r}Yes
107
1Yes
R_2saTh9ICAgM0BHV
F(G(r)){} {} {} {r}Yes
108
R_3J3NZWyA2hcl5by
F(G(r)){} {} {} {r}Yes
109
R_1mfLnqhYsR97vhv
F(G(r)){} {} {} {r}Yes
110
1Yes
The last state must have a red light on, which is the case here
R_VHZdlnCi0wPqPGF
F(G(r)){} {} {} {r}Yes
111
1Yes
R_0ize6N4UFi1irrb
F(G(r)){} {} {} {r}Yes
112
1Yes
R_3kpTXi28NBbr8mO
F(G(r)){} {} {} {r}Yes
113
1Yes
R_3Rt21EZCScgM3oC
F(G(r)){} {} {} {r}Yes
114
1Yes
R_enENzp0guuxVGwh
F(G(r)){} {} {} {r}Yes
115
1Yes
R_1g8tSbzTTgxijrd
F(G(r)){} {} {} {r}Yes
116
1Yes
R_3M5V4sL4b6COyD2
F(G(r)){} {} {} {r}Yes
117
1Yes
R_23fQaq1kM65aSP7
F(G(r)){} {} {} {r}Yes
118
1Yes
R_1QFcce33iJrOdLO
F(G(r)){} {} {} {r}Yes
119
R_2EnQzWu9HQsIjn8
F(G(r)){} {} {} {r}Yes
120
R_R9tc8AnNRKwPdkd
F(G(r)){} {} {} {r}Yes
121
R_2QPzqLc2iRGU0Jd
F(G(r)){} {} {} {r}Yes
122
1Yes
R_3EO18al85qREqgF
F(G(r)){} {} {} {r}Yes
123
1Yes
R_3MS5InthwHWtaZT
F(r & F(b)){b} {r} {r} {b}Yes
124
R_3G88D8gpZ7v63nz
F(r & F(b)){b} {r} {r} {b}Yes
125
R_3Dw4BW8x0ynmmQm
F(r & F(b)){b} {r} {r} {b}Yes
126
1Yes
R_DSlVV5XN50E2Mzn
F(r & F(b)){b} {r} {r} {b}Yes
127
1Yes
R_WByy6AuVYHXV65H
F(r & F(b)){b} {r} {r} {b}Yes
128
R_vvG6iiXnXM4vZJv
F(r & F(b)){b} {r} {r} {b}Yes
129
1Yes
R_9Td5mdNtgffkvJL
F(r & F(b)){b} {r} {r} {b}Yes
130
R_9ukqO8kCEIR4pLb
F(r & F(b)){b} {r} {r} {b}Yes
131
1Yes
R_2saTh9ICAgM0BHV
F(r & F(b)){b} {r} {r} {b}Yes
132
1Yes
R_3J3NZWyA2hcl5by
F(r & F(b)){b} {r} {r} {b}Yes
133
R_1mfLnqhYsR97vhv
F(r & F(b)){b} {r} {r} {b}Yes
134
R_VHZdlnCi0wPqPGF
F(r & F(b)){b} {r} {r} {b}Yes
135
R_0ize6N4UFi1irrb
F(r & F(b)){b} {r} {r} {b}Yes
136
1Yes
R_3kpTXi28NBbr8mO
F(r & F(b)){b} {r} {r} {b}Yes
137
1Yes
R_3Rt21EZCScgM3oC
F(r & F(b)){b} {r} {r} {b}Yes
138
R_enENzp0guuxVGwh
F(r & F(b)){b} {r} {r} {b}Yes
139
1Yes
R_1g8tSbzTTgxijrd
F(r & F(b)){b} {r} {r} {b}Yes
140
1Yes
R_3M5V4sL4b6COyD2
F(r & F(b)){b} {r} {r} {b}Yes
141
1Yes
R_23fQaq1kM65aSP7
F(r & F(b)){b} {r} {r} {b}Yes
142
R_1QFcce33iJrOdLO
F(r & F(b)){b} {r} {r} {b}Yes
143
1Yes
R_2EnQzWu9HQsIjn8
F(r & F(b)){b} {r} {r} {b}Yes
144
1Yes
At step 3 we have Red and at step 4 we have Blue, as requested from the formula in parenthesis. This happens at step 3, so eventually.
R_R9tc8AnNRKwPdkd
F(r & F(b)){b} {r} {r} {b}Yes
145
R_2QPzqLc2iRGU0Jd
F(r & F(b)){b} {r} {r} {b}Yes
146
R_3EO18al85qREqgF
F(r & F(b)){b} {r} {r} {b}Yes
147
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