facts
stringlengths 9
219
| formula
stringlengths 6
173
| num_operators
int64 1
20
| gold_formula
bool 2
classes |
|---|---|---|---|
p is false, b is true, x is true, z is false, f is false, o is true, k is true, l is true, h is false, n is true, v is true
|
x or l and b implies o or n and z and v implies p and f and k and h or x or o
| 12
| true
|
n is true, f is true, v is true
|
v implies n or f
| 2
| true
|
m is true, s is false, f is true, i is false, o is false, k is true, g is false, u is false, n is false, c is false
|
n or c and k and i implies i and u implies m implies s implies s or g implies o implies c and k or f
| 13
| true
|
r is false, m is false, p is true, b is false, z is true, v is true, i is true, t is false, a is false, c is false
|
i or c and i or r and m and p implies b or z and v or a implies r and t
| 11
| false
|
e is true, q is false, s is false, b is false, x is true, u is true, f is false, i is false, y is false, l is false, g is true, n is false, c is false
|
x implies g and l or s or e and b and q implies y and q implies u and i implies i or c and n and f implies i
| 15
| false
|
j is true, s is true, w is true, b is false, x is true, d is false, a is false
|
s implies d implies j and b implies a or x and d implies w or b
| 8
| true
|
e is false, r is true, s is true, w is true, b is true, p is true, h is false, o is true, g is true, k is true, l is false, a is true, u is true, n is true, c is true
|
e and n implies b implies a and w and p implies u or g or o or a implies s or w implies c or l implies n or k or r and r or h
| 18
| true
|
p is true, x is true, y is true, l is true, h is false, n is false, f is true
|
l implies y and n or h implies x and p implies f
| 6
| true
|
r is true, j is false, q is false, b is false, t is true, y is true, k is true, l is true, n is false, c is true
|
c or j implies y or t and l and q and k and b and n and y or r
| 10
| true
|
s is true
|
s and s
| 1
| true
|
j is false, q is false, m is true, s is true, p is false, h is false, u is true, o is false, t is true, y is false, l is true, g is false
|
j and t or u implies g and p implies q implies h and o and m implies g implies y implies l and l and t or u and q and s
| 16
| true
|
q is false, z is false, i is true, k is false, g is false, f is true
|
z or i or k and q or g or f and z implies i
| 7
| true
|
b is true, t is false, y is true, l is false, a is true, n is true
|
t or n and l implies b or y implies a and b or t
| 7
| true
|
a is false, n is false, t is false
|
t and a or n
| 2
| false
|
q is true, m is true, s is true, p is true, z is true, i is true, t is false, k is true, l is false, a is true, h is false, c is false
|
s and t and h implies q implies k implies m and z and p and z or a implies c or p implies l implies i and h
| 14
| true
|
d is true, w is false, h is false, l is false
|
h or l and w or h and l implies d
| 5
| true
|
e is true, q is false, w is true, p is false, i is false, o is true, a is false, g is true, n is false, f is false
|
f implies e implies e implies i and a implies w or g implies f implies n and q and p or o
| 11
| true
|
p is true, x is false, f is true
|
p and x and p implies f and f
| 4
| true
|
j is false, s is true
|
j implies s
| 1
| true
|
e is true, j is true, m is false, s is false, p is false, w is true, z is true, u is true, i is false, t is false, h is true, v is true
|
j and h implies p and p or s or v or u and e or z and t implies t implies u and w implies m and j and i implies v
| 16
| true
|
e is true, r is true, q is true, j is true, h is false, b is false, x is true, z is false, t is false, y is true, u is true, n is true, f is false
|
x implies r or e or t implies y or u and z and f implies n implies h implies r and q or y or j and b implies u implies t implies b or t
| 18
| true
|
e is false, m is false, x is true, z is false, u is false, i is false, g is false, n is false, v is false
|
e implies v implies g and m or n and z and u or i implies x
| 8
| true
|
r is true, w is false, u is false, d is false, t is true, i is false, h is false
|
u and h or r and d or w or w or t implies r and i
| 8
| false
|
w is false, p is true, z is false, o is false, y is false, k is false, a is true, u is true, n is true, v is true
|
z implies o or u or w and a or v or y or y and p implies k and n
| 10
| false
|
r is false, m is true, q is false, w is true, b is false, x is true, y is false, g is true
|
g and w or m or y or r and b and g and x implies q
| 8
| false
|
e is true, s is true, d is false, g is true, f is true
|
s implies s or d implies g implies e implies f
| 5
| true
|
j is true, q is true, s is true, i is false, t is true, y is false, o is false, l is true, u is true, n is false
|
t or i implies n or j or y and u and q or o and l or s
| 9
| true
|
g is false, t is false, z is false, f is true
|
t and t implies g implies z or f and t
| 5
| false
|
e is false, r is false, j is false, s is false, o is false, i is true, y is false, k is true, a is false, u is false
|
e or s or i or a and a and o and r implies a and i and u or o and i implies e or y and j and s or k implies e implies y
| 18
| true
|
r is true, m is true, s is true, x is false, z is false, y is false, l is true, h is false
|
m or l or s implies y or h or z and z implies r and h or r and x
| 10
| true
|
j is true, m is true, s is true, t is true, y is true, h is false, f is true
|
f and t and s implies j and h and m or y
| 6
| true
|
e is true, r is true, m is false, s is true, b is false, z is false, u is true, v is false, i is true, k is true, l is true, g is true, c is false
|
c and g or r and b implies s implies z implies i or v or c or u or k implies e implies m and l and g and v implies m
| 16
| true
|
e is true, m is false, s is true, p is true, z is false, v is false, d is false, g is true, n is true, f is true
|
p and n implies z implies m implies s or e or e implies f or d implies g implies v and s
| 11
| false
|
m is false, c is false, k is true, u is false, v is true
|
u and m and k implies c or v
| 4
| true
|
r is true, q is false, s is false, t is true, l is false, a is false, c is false
|
c implies s implies l implies q and r and a implies t
| 6
| true
|
a is false, n is true
|
n and a
| 1
| false
|
r is false, q is false, s is true, w is true, b is false, x is false, d is false, i is false, y is false, o is false, l is false, k is false, h is true, v is true
|
w and v or l implies i and d implies y and s and w implies q implies b and d implies h implies o implies r or b or k or i and x and o implies d
| 19
| false
|
m is false, s is true, w is true, i is false, y is true, v is false
|
v and w and s or m or y implies i
| 5
| false
|
r is true, j is false, p is true, x is false, z is true, u is false
|
r and u or z implies x implies u or j and p
| 6
| true
|
r is true, q is true, j is true, p is true, x is true, k is true, y is false, u is true, f is false
|
p and k implies r or q implies j and f and y or x or u or r and u
| 10
| true
|
e is true, x is false, v is false, d is false, t is true, u is true, n is false, c is true
|
e and x implies n implies c and d and n and e implies u and u implies v and t
| 10
| false
|
e is true, q is false, s is false, p is false, b is false, x is true, w is true, c is true, d is true, t is true, i is false, n is true, v is true
|
x or e or t or n or b or v or d implies q implies v implies s or p or c implies i implies w
| 13
| true
|
e is true, r is false, q is true, x is true, i is true, l is true, n is false, c is true
|
r and q or l implies e and n and i and x implies r and c
| 8
| true
|
p is false, z is false, t is false, k is false, h is true
|
k and h implies t implies z or p
| 4
| false
|
e is false, m is false, w is false, z is false, f is false, v is true, i is false, o is false, t is false, a is false, h is false, g is true, c is false
|
h or i or o implies z or c and v and f implies h implies e or w or e or h implies i implies g implies m and a or t
| 16
| false
|
h is true, u is false, y is true, o is true
|
y implies u or o implies h
| 3
| true
|
r is false, p is false, o is true, t is true, k is true, y is false, f is false
|
k and r or f or o and t or p implies o and y or o implies t or o or t and y
| 12
| true
|
r is true, j is false, x is false, d is true, k is false, u is true, f is true
|
x implies f and r and k implies d or u and j
| 6
| true
|
e is true, r is false, j is false, p is true, b is false, d is true, i is true, k is false, l is true, a is false, u is false, f is true
|
k implies a implies p and d implies j implies i and u and l or r implies l implies b or r or e or r and f and k
| 15
| true
|
e is true, s is false, w is true, f is true, o is false, i is false, k is true, d is false, l is true, t is true, h is false, n is false, v is false
|
n and w implies k or h implies o implies o and i implies d and s and v implies n or l or f and e and h implies s and v implies l and k implies t implies e
| 20
| true
|
e is true, r is false, m is false, j is false, p is false, w is false, z is false, k is false, y is true, l is true, a is true, n is false, c is false
|
k and a and l implies c implies k or r and p implies y or m implies e and e implies a or p and j or n implies k or c and w or z
| 18
| false
|
e is true, q is true, m is true, w is false, b is true, x is true, u is false, v is true, o is false, i is true, t is false, g is true, n is false, f is false
|
f and g implies o or e or i or b and u implies o or x or o and e or w or x or i implies x and v or q or e or t implies m and n
| 20
| false
|
r is true, m is true, b is false, x is true, z is false, f is false, v is false, i is true, o is false, k is true, l is false, u is false, n is false, c is false
|
i or v or z or l or c or r or x or r or r and o implies f and b or m and k implies l and u or n
| 16
| false
|
e is false, r is false, u is false, a is true, h is true, n is false, c is false
|
r and e implies h implies n and h and u or a and c
| 7
| false
|
m is false, q is false, s is true, w is true, p is false, x is true, z is true, i is true, k is true, l is true, a is true, u is true, n is false, c is true
|
z and m or w and a or p and n or a implies l or c or n or i or u and q implies s and k or q implies x
| 16
| true
|
e is false, q is true, s is true, p is true, b is false, i is false, h is true, c is true
|
h or s implies h or c and i and q or e or b and p
| 8
| true
|
j is false, m is false, s is false, w is false, x is true, z is false, v is true, i is false, o is true, k is true, y is true, l is true, g is true, u is true, n is true, c is false
|
u and u or i or j and o and k and m and c or x implies z implies l or s or y or n implies l or g or n or c and w implies v implies m
| 20
| false
|
j is true, m is false, s is false, w is false, b is true, v is false, c is false, i is true, y is true, l is false, h is false, f is false
|
b and w or c implies l and f or h and f implies i and l or l or j or h implies y implies j or s implies b implies h and v and m
| 18
| false
|
r is false, p is true, x is true, o is true, k is false, n is true, v is false
|
v or p and k or v and n and o implies r or x
| 7
| true
|
p is false, q is false, f is false, c is true
|
q implies p implies c implies f or f
| 4
| false
|
u is false, c is false
|
c and u
| 1
| false
|
w is false, u is false, b is true, v is true
|
u implies b or v or w
| 3
| true
|
e is true, m is false, b is false, t is false, y is false, a is false, g is false, v is true
|
y implies t implies a and b or g and v or e or m
| 7
| true
|
e is true, q is false, p is true, i is false, y is false, u is false, n is true
|
p implies n or y or e and u or q implies y implies i
| 7
| true
|
r is false, m is true, w is true, x is false, v is false, c is false, o is false, t is false, n is false, u is true, g is false, f is true
|
x implies u implies f implies m and t or f and c implies o or g or x or v and x or r and n or w or x implies w
| 16
| true
|
m is true, s is false, w is false, a is true, g is true
|
w and a or g implies s and a and m or a
| 6
| true
|
s is false, w is false, z is false, t is true, k is false, l is false, a is false, g is true, n is false, f is true
|
n implies l or z and f or a implies k and z and s implies w or s and t implies g or t
| 12
| true
|
r is false, j is true, b is false, x is false, o is false, y is false, k is true, l is true, a is false, h is true, f is false
|
y or h and j implies l implies b and o or f implies r and x or a implies k
| 10
| true
|
e is true, j is true, m is true, b is false, z is false, i is true, t is false, y is false, o is true, a is true, h is false
|
i implies y implies b or t or t and e implies o and j or m and h implies b and z implies a implies i
| 13
| true
|
r is false, m is false, s is false, w is false, p is false, h is true, b is false, z is true, i is false, o is false, y is false, l is false, a is false, g is false, f is true
|
m or w or y or i implies w or s implies z implies l implies p and g implies m and f implies p and h implies a and r implies b and g or o
| 18
| true
|
e is true, r is true, j is true, b is true, t is false, a is false, f is true
|
a or t or r or j implies f or b implies e implies b
| 7
| true
|
r is true, q is true, s is false
|
r and s implies q
| 2
| true
|
r is false, q is false, m is true, p is true, b is true, w is false, h is true, o is false, t is false, k is true, a is true, u is true, g is false, c is false
|
c implies q and t or r or p or m or b and k implies u and g or a implies w or h and b and w implies r or o
| 16
| true
|
e is true, r is false, s is true, p is false, w is false, x is false, z is true, i is false, u is true, c is false
|
u or e or p and s and i or z or w or x or r and c
| 9
| true
|
s is false, z is false, o is false, k is false, n is false, v is false
|
z and n implies o and v and v and k implies s
| 6
| false
|
q is false, w is false, f is false, o is false, t is true, h is false, c is false
|
f implies h or t or c implies q implies o or w
| 6
| true
|
m is false, j is false, h is true, n is true, v is true
|
n or m or h and v and j
| 4
| true
|
r is true, m is true, q is false, j is false, x is true, t is true, k is false, u is false, v is true
|
j implies v or q or u implies m and j or m and k and v implies x and r implies t
| 11
| true
|
e is true, r is false, t is true, y is false, k is false, u is false, v is true
|
e implies r and y and v and k or u and t and k
| 7
| false
|
r is true, m is false, q is true, x is false, d is false, o is false, i is false, a is false, n is false, v is true
|
d implies n implies v and m implies x or a and r or q and q implies r implies o or n implies i
| 12
| true
|
r is false, m is true, q is true, s is false, b is true, x is true, z is false, o is false, d is true, l is false, g is false, f is true
|
o and m and z implies s implies d and m implies d implies g and b or q and o and g or l and r and f implies x
| 15
| true
|
q is true, p is false, z is false, d is false, k is true
|
d or q and z and k and p
| 4
| false
|
e is false, p is true, b is false, x is false, z is false, v is true, d is true, t is true, y is true, i is false, a is true, g is true, c is false
|
x or d and g implies e implies p or t or p and y implies c and i implies x or b and g or v and a implies i implies i or v and c implies z
| 19
| false
|
s is true, w is false, d is false, t is false, l is false, h is false, n is true
|
l or t implies n implies d or s or h and w
| 6
| true
|
m is true, j is true, o is false, h is false, f is true
|
f and h or m and j implies o
| 4
| false
|
e is true, r is true, j is false, s is true, w is false, x is false, i is true, t is true, k is true, o is false, l is true, h is false, n is true, v is false
|
e implies v or n implies r and r implies i implies h and j or i implies t and l or w or l and x implies n implies s or k or j implies o
| 18
| false
|
j is true, m is true, p is false, w is false, b is false, z is false, c is false, i is false, o is true, y is false, n is true, v is true
|
j implies p implies c and i implies v implies o or n implies y implies w and m implies z and b
| 11
| false
|
p is false, i is true, t is false, g is false
|
i implies t and p implies g
| 3
| true
|
m is true, j is false, w is false, b is false, d is true, t is false, k is true, y is false, u is false, n is false
|
y implies w implies b implies d or k or u or m or n or t or j implies y or y
| 11
| false
|
e is true, m is false, s is true, p is true, w is false, z is true, c is true, i is true, y is true, l is false, h is false, n is true, v is true
|
m or y and h implies v implies n and e or s or e implies p implies l or w implies i implies m and y and c or z and m
| 16
| false
|
e is false, m is true, b is true, n is true, c is false
|
c implies e or n or m implies c implies b
| 5
| true
|
k is true, c is false
|
c and k
| 1
| false
|
e is true, r is true, j is false, m is true, d is false, i is false, y is false, l is false
|
l implies r and d and e and j and i and y or m
| 7
| true
|
r is true, z is false, u is true, o is true, k is false, y is true, a is false, h is true, v is true
|
r or u or v or h and v implies a and k and o implies y or z
| 9
| true
|
e is false, j is false, a is true, f is false
|
j or f implies e or a
| 3
| true
|
r is false, b is true, t is false, l is true, u is true, v is false
|
b implies u or l implies v and t or l and r
| 6
| false
|
r is false, b is true, t is true, k is false, v is false
|
t implies k or v implies r and t and b
| 5
| true
|
e is true, j is true, m is true, s is true, b is false, x is true, c is true, d is true, i is false, k is false, t is false, y is true, h is true, f is false
|
d or i implies s and e or x or e implies b and k implies t implies f implies j and h implies c and h or t and y implies m
| 16
| true
|
r is false, m is true, s is false, b is false, x is true, z is false, u is true, i is true, g is true, n is true, c is false
|
b or x and g or u and g or u or i or c implies n or r and i implies m and z implies s
| 13
| true
|
c is false, d is true, f is true, l is true
|
l or c or f or d
| 3
| true
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.