facts
stringlengths 9
219
| formula
stringlengths 6
173
| num_operators
int64 1
20
| gold_formula
bool 2
classes |
|---|---|---|---|
r is false, q is false, j is false, s is false, w is false, b is true, x is false, i is false, t is true, k is false, l is true, n is false, c is true
|
l implies b and w and q and n and c or t and j and t implies r or i or k implies x and k implies s
| 14
| true
|
e is true, m is false, j is true, p is false, b is false, x is false, z is true, v is false, o is true, k is true, y is false, u is false, c is true
|
k and m implies u implies o and b or x or c and x or e implies v and y or y and p or j implies z
| 14
| true
|
r is true, m is false, s is true, z is true, d is false, o is false, t is true, h is false
|
r or s implies o implies t implies d or z or h implies m
| 7
| false
|
e is true, r is false, q is false, m is false, p is false, b is false, x is true, z is false, o is false, d is false, k is true, y is false, a is false, h is true, f is true
|
r implies f and o implies q or o implies a or b implies a and x and m implies k or o and h or y or p and e implies q or d implies a or z
| 19
| true
|
e is false, r is true, m is false, j is true, p is true, t is false, y is false, k is false, g is true, f is true
|
j or m implies t or f implies e or y implies r implies k implies g or p implies t
| 10
| false
|
e is true, m is false, w is true, b is true, p is true, z is true, v is false, t is true, y is false, k is true, g is false, c is true
|
w and y implies y and c and g implies z or t implies y implies e or k implies m implies b or g implies p implies v implies c and k
| 16
| true
|
u is true, n is false, y is true, z is true
|
u or z and n and y
| 3
| true
|
e is false, r is true, m is true, h is false, v is true
|
h or m implies e and v or r
| 4
| true
|
m is false, s is true, p is false, b is true, x is false, i is false, t is true, o is false, l is true, a is false, h is false, n is true
|
a implies m implies n implies i implies a implies t or h implies b and p implies o and s implies p implies x implies l
| 13
| true
|
e is false, w is false, z is false, t is false, l is false, h is false, n is true
|
n and h or t and z and h and e implies l or w
| 7
| true
|
r is false, m is true, q is true, w is true, b is false, k is false, y is true, g is true
|
q and w implies m implies g or k implies r and b and y
| 7
| false
|
r is true, j is false, s is false, b is false, z is true, u is true, v is false, t is true, a is false, h is false, c is false
|
z or c or h and t implies s or a or b and v implies c and r and j implies a and u
| 12
| false
|
q is false, i is true, o is false, y is false, a is false, h is false
|
q or y implies h and i or o and a implies o
| 6
| false
|
q is false, j is false, m is true, z is false, u is false, i is false, d is true, k is false, y is true, l is false, g is true
|
k implies g and j or g or q implies l implies i or q implies k and u implies d implies m implies g or z or y
| 14
| true
|
h is false, z is false, v is false
|
z or h or v
| 2
| false
|
j is true, s is true, z is true, f is true, u is true, d is false, i is false, y is false, k is true, g is true, c is true
|
f and i implies y implies c or d implies g implies j and y or z or k implies s implies u and s
| 12
| true
|
e is false, q is true, h is true, w is false, x is false, k is true, a is true, u is false, n is false, c is true
|
n implies k or e or u and a implies h implies x and k or q or c or w
| 10
| true
|
e is false, r is true, m is false, w is true, b is true, f is true, v is false, i is true, o is true, y is false, k is false, a is true, g is false, c is false
|
r implies c and e implies a and w implies v implies y and i and m implies b implies o or f and m and v or y and b and c implies g implies r implies k
| 19
| false
|
e is false, u is true, v is false
|
u and v and e
| 2
| false
|
q is false, w is false, p is false, x is true, b is false, z is false, a is true, c is true, o is false, t is false, d is true, y is true, l is false, i is false, h is false, n is true, v is false
|
h implies o or l or t and w implies q and d and y and i implies w and v implies z or p and x implies n and b implies q or c implies b or a
| 19
| true
|
r is false, m is true, d is true, t is false, l is true, a is false, h is true
|
h and a or l and d and a or h and r or t implies m and r
| 9
| true
|
e is false, j is false, s is true, w is true, z is false, u is true, c is false, o is true, d is false, k is false, i is false, l is false, a is true, h is true, v is false
|
o implies l and h and s implies j and a and l and v or k implies d or c or u implies e and d or z or w and i
| 16
| false
|
r is true, j is false, s is true, z is false, d is false, t is false, a is true, h is false, n is true
|
r or n and s implies z or j or r and h and d or a or n implies n or r or t or s implies d
| 14
| false
|
e is false, r is false, m is false, w is true, b is false, z is true, v is false, t is false, y is true, l is true, a is true, c is true
|
e implies b or y implies z and m implies c implies t implies l or b implies w implies r or v implies m implies a or t or y
| 15
| true
|
e is true, r is true, m is false, j is false, w is false, z is true, d is true, y is false, k is true, a is true, g is true
|
z and a or r implies m or r implies r and g implies y and k implies m and d or e and j and w
| 13
| true
|
e is false, m is true, q is true, v is true, d is false, i is false, y is true, k is false, l is true, a is true, c is false
|
q and l or m implies c implies v or d or m implies m and i or y and q and a and k implies e
| 13
| true
|
q is true, m is true, w is false, u is true, v is false, y is false, a is false, h is true, c is true
|
a or v and c implies q or w or m and m implies w or y implies v implies h and u implies m or v or u
| 14
| true
|
r is false, x is true, k is false
|
k or x and r
| 2
| false
|
e is false, j is true, s is true, w is true, b is true, x is false, d is false, y is true, l is false, a is false, c is false
|
e implies l and d or w or b and x or y or a or j implies x and s or c and j
| 12
| false
|
r is true, j is false, p is true, c is false, i is true, o is false, k is false, d is true, l is true, a is true, u is true, f is true
|
f implies u implies r and i or j implies a and c and l and u implies k implies k and p and f and o implies r implies d or c implies f
| 17
| true
|
e is false, s is false, p is true, w is false, t is true, y is true, v is false
|
p and e and s or t and y implies v implies w
| 6
| true
|
a is true, g is true, x is true, l is true
|
a implies x or g or g or l
| 4
| true
|
e is true, r is false, q is true, j is false, b is false, x is false, f is false, u is false, d is false, i is false, k is true, y is false, a is false, h is true, n is true, v is false
|
q or x or d or v implies e or d implies i and k or y implies q or n or d or v and r or b or h and f or j or u or a
| 19
| true
|
e is false, r is true, q is false, t is false
|
e implies q and e and t implies r
| 4
| true
|
m is true, j is true, q is false, s is false, w is false, x is true, f is false, i is true, o is false, u is true, g is true, c is true
|
c and i and x implies u and m or j and g and g implies f or j and o implies q and s implies w or w and x or s or x implies c and g implies j
| 20
| true
|
e is true, j is true, q is true, m is true, p is true, h is true, x is true, f is true, c is false, o is false, i is true, k is true, y is false, g is true, v is false
|
k and c or f implies v implies k and f and p implies j or g and o and h or q and i and y or k implies x or e or c and h or x implies m
| 20
| true
|
m is false, b is false, u is true, v is false, f is false, g is true, c is true
|
v implies c and g or b or u or m and f
| 6
| true
|
e is true, r is true, p is true, x is false, y is true
|
e or x and p implies r or y
| 4
| true
|
j is true, w is false, b is true, p is true, z is false, f is true, i is false, t is false, y is false, l is true, h is false, v is false
|
w and w and h implies b and i implies j and v implies z and f implies v implies p or t or f and l and h implies w and y or t
| 17
| false
|
r is true, w is true, p is true, o is false, g is false
|
r and g or w implies p and o
| 4
| false
|
e is false, r is true, s is true, w is true, z is true, i is false, t is true, y is false, k is false, l is true, o is true, h is false, a is true
|
k and y and l or i implies y implies r and l or t or h or w or e implies z implies h and o and a implies s
| 15
| true
|
r is true, q is false, j is false, s is true, p is true, b is true, w is false, o is true, y is true, g is false, n is true, c is true
|
c or o or y implies b and p implies q or b implies r and g and w or o and s implies w implies g implies q implies o or n implies o and j
| 18
| false
|
m is false, j is true, p is false, u is true, d is true, t is false, y is true, k is false, g is true, c is false
|
d and m implies y and d implies p or t and c or k implies k implies g and u and y and j and m and u
| 14
| false
|
m is false, q is true, w is false, u is false
|
u or q or w or m implies q
| 4
| true
|
q is true, j is false, s is true, p is false, w is false, x is false, z is true, i is true, d is false, k is false, y is true, u is false, n is true, c is false
|
x implies s and k or i and z and q implies q and n or c implies q or i and d or z implies p and j implies y or w implies u
| 17
| false
|
r is true, q is false, j is true, h is false, w is true, p is true, f is true, t is false, y is true, a is true, u is false, c is true
|
t implies f implies u and c or a or a and y or h implies q implies h and j or q or r or r implies y implies f and w or a implies p implies p
| 19
| true
|
j is true, h is false, w is true, b is true, z is false, i is true, k is true, a is true, u is true, f is false
|
a implies i and f or k implies z implies u implies j and a or h and w or b implies w implies j
| 12
| true
|
q is true, f is true
|
q or f
| 1
| true
|
r is true, w is false, x is false, u is true, t is true, y is true, l is false, h is false, v is false
|
r and v or h or u and t or v and w and y implies l implies x and v
| 10
| true
|
e is false, q is true, x is false, z is true, v is true, t is false, k is true, a is true, g is true, n is true, f is true
|
k implies q implies f or z and a and e and v and g implies t implies a and z and f and x or g or n
| 14
| true
|
q is false, l is false
|
l implies q
| 1
| true
|
e is false, q is false, m is false, w is true, b is false, d is true, t is false, a is false, u is true
|
u and t implies a or q implies b implies w or d implies a and m or u and e
| 10
| false
|
e is true, r is true, q is true, s is false, w is false, u is true, f is false, o is true, k is false, h is true, g is false, c is false
|
r or h implies e and s implies h and c implies w and u or q or k and c implies g or w and f and o implies h
| 15
| true
|
e is true, m is true, s is true, d is false, l is true
|
d and e implies m or l and s and d
| 5
| true
|
e is true, q is true, o is true, t is true, y is false, a is false, u is true, f is false
|
e and q implies y and t or y implies q implies o implies f implies a and u
| 9
| true
|
e is true, q is true, p is false, x is false, i is false, t is true, k is true, d is false, l is true, n is true, h is true, g is false
|
e or k or q implies l and h or x or g or n implies t and p implies i and d implies k
| 12
| true
|
m is false, q is true, s is false, b is true, x is true, f is false, i is false, o is true, y is false, t is false, l is true, d is true, g is true, c is false
|
i implies m and o or b implies g implies b implies y and l or s and x and c or b and l or q implies t or f and g implies d implies m
| 18
| false
|
s is true, w is false, p is true, l is false, a is false
|
s or w or p and a implies l
| 4
| false
|
r is true, q is true, s is true, x is true, d is true, l is false, a is true, h is true
|
h or s implies a implies q and x and d implies l and r or a
| 8
| true
|
q is false, j is false, z is true, f is false, i is false, t is true, y is false, h is false, v is true
|
q or f or i implies v or i or z or h implies v and y or t or j
| 10
| true
|
e is true, w is true
|
e and w
| 1
| true
|
x is true, d is true, y is true, l is false, f is true
|
l implies d implies y implies x implies x implies f
| 5
| true
|
r is true, z is true, d is false, y is false, l is true, h is false, v is true
|
v and r and l implies h implies z implies y implies d
| 6
| true
|
r is true, w is true, b is false, z is true, o is false, d is false, l is false, u is false, c is true
|
w and r or l or z implies o implies b or u or r and l and c or d implies z
| 11
| true
|
e is false, r is true, q is false, m is true, p is false, w is true, v is true, o is false, t is true, l is true, a is false, g is true, c is true
|
t implies r implies p implies w and o or a or e implies r implies q or l or m or c and a or v or a implies q or g
| 16
| true
|
e is false, q is true, m is true, s is false, p is false, z is true, c is false, d is false, y is false, a is false, u is false, g is false, f is true
|
e implies d and q or f and e or u and p or s and c or a implies u implies s or s implies g or e implies e or m and a implies y implies g or z
| 20
| true
|
b is true, z is false
|
z and b
| 1
| false
|
w is true, b is true, k is false, l is false, a is true, g is true, n is false, c is false
|
a or b or c or a implies k and a implies l or w and n and b and g
| 10
| true
|
r is true, s is true, p is false, b is true, o is false, i is true, t is false, l is false, f is false
|
i implies t or s implies l and o or p or b and r or f
| 8
| true
|
j is false, s is false, p is false, h is true, d is true, y is false, a is true, u is true
|
u implies s or y implies j implies p or h or a and a or p or s implies d
| 10
| true
|
u is false, z is true
|
z and u
| 1
| false
|
m is false, j is false, w is false, x is true, u is false, i is false, d is true, g is true, v is true
|
x implies v and w implies j and x or m and i and g implies d implies u
| 9
| false
|
q is true, s is true, b is true, z is false, u is false, i is false, d is false, k is true, h is true, n is false
|
s implies n implies k and h or u or h or z or h and b or i implies q or d implies d implies i implies u
| 14
| false
|
r is true, p is false, b is true, w is false, z is false, l is false, v is false
|
p or z and l or r and v or b and w and r
| 7
| false
|
r is true, j is false, w is true, f is true, v is false, o is true, t is true, d is true, l is true, a is true, g is true, n is false, c is true
|
v implies c implies f and t and o or r or n and a or l implies w implies g implies w implies j or d
| 13
| true
|
m is true, q is true, s is true, p is true, w is false, x is false, h is true, z is true, v is true, o is false, t is false, k is false, a is false, u is true, f is false
|
u or f implies s implies z or s or p implies w or m and x or a or h or q implies k implies q or t or o or v
| 16
| true
|
w is false, p is true, x is true, u is true, y is false, l is false, g is false, f is true
|
y and g or w implies l and x or f and u and u and p implies f
| 9
| true
|
j is true, l is true, u is false
|
j or u or l
| 2
| true
|
r is false, j is true, s is true, w is false, x is true, z is true, f is false, v is true, d is false, t is false, o is true, a is false, h is true, c is true
|
s and a implies d implies t or z and t and o implies c and v or w implies f implies h and f or t or c or j and j or x and r or h
| 19
| true
|
p is true, x is false, y is false, a is false, f is true
|
y or f and a or x and p
| 4
| false
|
q is true, j is false, z is true, t is true, k is true, a is false, h is true, f is true
|
z and q and k or t implies a or j implies a and f implies z and j implies h
| 10
| true
|
j is false, w is false, p is true, b is true, z is true, c is false, i is false, t is false, o is true, l is false, u is false, n is true, f is true
|
i implies t implies f or z implies w and f and l and p and j and n implies l or b implies l and u or i or i implies c and t or o implies j
| 19
| false
|
e is true, r is true, m is true, j is true, w is true, h is false, z is false, d is true, y is false, k is true, l is true, g is false, v is false
|
e or g implies w or g and g implies y implies g or d implies m implies k and j or z and m implies r and h implies v and l
| 16
| true
|
a is false, w is false, j is false
|
a or j implies w and w
| 3
| true
|
n is true, c is false
|
c implies n or n and c
| 3
| true
|
e is false, r is false, i is true, k is false, n is false
|
i or e implies e and n and k and r implies i
| 6
| true
|
w is true, o is false, i is true, l is false, a is false
|
o and a and l and i and l and w
| 5
| false
|
e is false, q is true, j is false, m is true, s is false, p is false, b is false, w is false, h is false, d is false, i is false, t is true, u is false, f is false
|
q implies s and p or u or d implies j and d and d implies i and f or b implies q implies w implies e or h implies m implies t or t
| 17
| true
|
e is true, m is false, s is true, x is true, y is true, a is false, u is true, g is true
|
m implies x or e implies u and s and g and a and y implies x implies m and e implies u
| 11
| true
|
m is true, t is false, i is true, g is false
|
i and g implies t and m
| 3
| true
|
e is true, m is false, p is false, z is false, u is true, c is true
|
m implies p and e implies c and z or u
| 5
| true
|
r is true, m is false, s is true, d is false, a is true, n is true, f is false
|
n implies m implies f implies a and s or d and d implies r
| 7
| true
|
r is true, j is false, q is true, s is false, x is true, o is true, d is true, k is true, y is false, u is false, n is false
|
x implies u or s implies k implies j implies n and r implies k or y and r and r or k implies q and o implies o and d
| 15
| true
|
r is false, m is false, q is false, j is true, s is true, w is true, b is true, x is false, h is true, z is true, d is false, t is false, o is true, u is false, v is true
|
m implies t and d or b implies u implies r and z implies o or v and w implies u or x or o or d and s implies q implies h and r and j and h
| 19
| true
|
r is false, t is true, k is true, y is true, v is true
|
v implies y implies k implies t or r
| 4
| true
|
r is false, m is false, s is false, w is true, h is true, b is false, z is false, o is true, t is false, d is true, k is false, l is false, a is true, u is true, c is false
|
s or z implies s and u and t or w or a implies m and o implies d or h or k implies b or l implies r implies c implies m and b
| 17
| true
|
r is true, m is false, w is false, x is true, v is false
|
w implies m implies r and v and x
| 4
| false
|
e is false, m is true, q is false, j is true, s is true, w is false, b is true, p is true, g is false
|
b and m implies m and s or g and q implies w implies j or p and j and e
| 10
| true
|
r is false, j is false, m is false, s is false, w is true, p is true, c is false, i is true, d is false, h is true, v is true
|
c and i or v implies w implies w or h or h or h implies p implies j or s and r and d implies m
| 13
| true
|
e is true, r is false, m is true, s is true, w is true, x is true, z is false, v is false, o is true, i is false, d is false, a is false, c is true
|
o and x and d or i and c and m and a implies w and z or v and r implies s and c and z implies e
| 14
| true
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.