Datasets:
saracandu
/
implications

Dataset card Data Studio Files
xet
Community
1
facts
stringlengths
9
219
formula
stringlengths
6
173
num_operators
int64
1
20
gold_formula
bool
2 classes
j is false, b is true, y is false, l is true, u is false, g is false, f is true
j and j and l or b or u and f or l implies g implies y or l implies j or y
11
false
o is true, m is false, d is true
m implies d and o
2
true
r is true, n is false
r implies n
1
false
r is true, m is true, j is true, s is true, w is false, x is true, l is true, a is true, u is true, f is true
m or x and a and l and s or f implies r implies u implies j or u and w
10
true
r is false, s is true, x is false, g is true, f is false
r and g and f or s and x
4
false
e is false, q is true, m is false, s is true, p is true, w is true, x is true, v is false, i is false, y is false, a is false, n is true, c is false
c or s and c or i or y implies q or s and p implies n and p or y implies w and x or s and s implies a implies v or m and e
18
true
e is true, j is false, p is true, z is true, f is false, d is true, t is true, l is false, a is true, h is true, v is false
h and e implies a and v and d implies h or d or z implies j implies t and l implies f and e and p implies d
14
true
q is true, s is false, z is false, u is true, l is true, h is true, c is false
l and u or c implies z and h implies s or q
6
true
q is true, m is true, p is true, c is false, o is true, d is false, a is true, f is true
f implies p or m or a implies p implies q or p and c implies o or d
9
true
e is false, q is false, s is false, w is true, x is true, f is true, v is false, o is false, t is true, y is true, k is true, l is false, c is false
e implies f and c and s and t and x implies q and o implies y or w and l or e and q or v implies v or q or k
16
true
e is true, r is true, q is true, w is false, p is false, x is false, i is true, y is false, k is false, a is false, u is true, n is false, c is true
r and y or c implies i and q and r implies u implies x and n implies e or a or w and k and q implies p
14
false
w is false, b is true, d is false, k is false, y is false, a is false, u is true, g is false
u and d implies y or k implies w and b and g and a and u
8
false
r is false, d is false, j is true
r and d implies j and j
3
true
a is true, d is false, y is true, f is true
d or f and f and y or a
4
true
s is true, z is false, h is true, n is true, f is false
z or f and n implies h or s implies n
5
true
q is true, b is false, v is false
q or v or b
2
true
e is false, q is true, w is true, i is true, t is true, o is false, l is false
w or t implies i or o implies q and t implies t implies l implies e implies t and e
10
false
r is false, j is false, b is true, x is false, z is false, c is true, g is false, n is false, f is true
b and g implies z and f or j or x or z or r implies n and r and c
10
false
r is true, j is false, t is true, y is true
t implies y implies t or r and j and j
5
true
r is false, q is true, w is false, d is true, k is true, h is false, v is true
k and r implies h or w implies q or w implies v and d
7
true
r is false, j is true, w is true, k is false, l is false
j and l implies k implies w and r
4
false
e is false, r is true, q is true, m is true, w is true, p is true, d is false, t is false, u is true
p or w or d and e or q or m implies u implies t or e or r implies q and w implies t
12
false
r is true, j is true, k is false, y is false, l is false, f is false
y or f or k or r and r or l and j
6
true
e is false, q is true, w is false, p is false, d is true, t is true, k is false, y is true, l is false, c is false
c or l or w implies k or q implies p implies y implies q and y and w or k implies k or p implies e implies t or d implies l
16
false
r is false, m is false, q is false, j is false, w is false, b is false, f is true, u is true, i is true, o is false, t is true, l is true, h is false, n is false, v is true
l or m or h implies v implies i and f implies o and r and q implies t or u implies i or j and w implies n or u implies b
16
false
r is true, m is true, x is true, u is true, o is true, d is true, y is false, g is true, n is false, f is true
g implies n and x and f implies o implies f and u implies x implies d implies m or r and y
11
true
e is false, r is false, s is true, b is true, x is true, u is true, f is false, o is true, t is true, l is true, h is true, n is false, c is true
e implies s and b implies o or l and t implies h and b and c implies u and h implies e implies b or u or f or b and n or x and c or r or n
20
true
p is true, v is false, d is false, t is true, y is false, i is true, l is true, o is true, u is true, n is false, f is true
u and u and f implies p implies d or y or t and l implies t implies i implies p or o or v or n
13
true
q is true, u is false, d is true, t is true, l is true, h is true, n is false
u implies d implies q or h implies t and n or l
6
true
j is false, z is true
z implies j
1
false
e is false, r is false, t is true, y is true, l is false, g is false, n is false
t or l or g and y or e and r implies n
6
false
r is false, j is false, p is false, x is true, i is true, k is true, y is false, a is true
j implies x implies k and p implies y or i implies r implies a and y implies i
9
true
e is true, r is false, j is false, m is false, w is true, p is true, v is true, c is true, i is true, o is true, y is true, k is true, l is false, a is true, g is false, n is true, f is false
g implies a implies n implies n implies y and j implies i and w implies l and f or v implies k or e or i implies p or o implies r and m implies c and v
19
true
e is true, r is true, p is true, w is true, x is true, i is false, g is false, c is false
c implies i implies p implies r or p or e and w or w and g and x
9
true
m is false, w is true, b is false, x is false, z is true, c is true, i is false, o is true, d is false, a is true, u is true, n is false, f is false
u implies i and o and m and w and x implies o or w or b and f or n implies a and d implies z and d or d and c or c or a and b implies b
20
false
q is true, m is false, s is true, o is false, i is false, k is true, l is true, g is true, n is true
k or q and n and l implies k implies o implies g or i or s and s and m implies n
11
true
e is true, b is false, z is false, u is true, y is false, g is true, f is false
y or e and b and f and g and z or u
6
true
r is true, j is true, p is false, w is true, x is true, c is true, d is false, t is false, k is true, i is true, o is true, n is true, u is true, g is true, f is false
p implies u implies g and k implies t implies d or i and x or x implies o implies f and j and j or n implies n or u implies c or i or w and r
19
true
r is true, m is true, j is true, o is false, i is true, l is false, v is true
i or l and o and i implies v and r implies m or j
7
true
s is true, w is true, p is false, h is false, t is true, k is false, y is true, u is false, v is false
p or s implies t implies k implies w implies s implies u or y implies v and h
9
false
r is false, m is false, w is false, y is true, a is true, n is true
n implies w implies y or r and m and y or w and a
7
true
j is false, b is false, x is false, d is true, c is false
c implies d implies j or x or d implies b
5
false
r is true, m is false, j is false, q is true, s is false, p is true, w is true, x is false, b is false, v is false, h is true, g is true, c is true
c and j or m and s implies p implies x implies r or p or w and b implies j implies q implies v and h and g
14
false
r is true, q is false, m is true, j is true, s is true, u is true, v is true, d is false, k is false, l is false, n is false, h is true, g is true, c is false
g implies s and k implies u and h or d implies r implies q implies c or h implies v or l or k implies u implies n and l implies m implies q implies l and q and j
20
true
e is true, j is true, w is false, b is true, p is true, v is true, i is true, d is true, t is true, l is false, u is false, g is true, c is true
e or c implies c and w and u or l or i or b and d and v and j or c and b or p or t and g
15
true
e is true, r is true, m is true, w is false, x is true, f is false, i is true, l is true, h is false, n is true, c is false
m implies f and m implies i or c or n and l and e implies w and m or x and e implies w and r or i or h
15
true
e is true, r is true, q is false, j is true, p is true, h is true, x is true, w is false, o is false, t is true, k is false, a is true, u is true, g is true, f is false
e implies q and f or a implies j and t or x and u implies q or p or f or r or p implies a or h or o implies k implies g and w implies f
19
false
e is true, m is true, j is true, s is false, x is true, f is true, i is false, t is false, y is true, d is true, l is false, k is true, g is true, v is false
m implies m or i and v or s and l implies y and t implies v implies d and g or e implies s and k and e and x and v or j and f
18
true
r is true, m is true, j is true, p is false, b is false, w is false, z is true, u is true, i is false, d is true, y is false, t is false, l is true, a is true, h is false
h or b implies y and i or m implies p and u and d or r implies t and h implies d or w or a and y or a or l or w and z and j and u
20
true
e is false, q is true, m is false, s is false, p is true, x is true, v is true, o is true, d is true, t is false, l is true, a is true, h is false, n is true, c is true
c and l and n implies l or a or e implies x or v and e and o or d or t implies p and q or m or s implies h
16
false
a is false, y is false, z is false, f is false
f implies z implies a and y
3
false
m is false, c is false, y is false, k is false, u is false, v is true
k and y or u implies m or v and c
5
true
e is false, r is true, s is true, w is false, b is true, z is false, i is false, t is true, a is true, g is false, n is false, f is false
a and b or i implies t or z or g and e and a implies w or r or a implies n and f or s and i
14
false
e is false, q is true, j is true, m is true, h is false, b is false, z is false, c is false, o is false, t is false, i is true, d is false, l is true, y is true, g is false, v is false
l implies o and g or v or q implies t and i or j implies b or l or d and h implies e or c and v implies m and y and z and t implies b
19
false
r is false, q is true, s is false, p is true, b is false, v is true, t is true, a is true, g is false, n is true, f is false
f or n or r or q or s and f implies v or a and b or t or b or b implies p and f and g
14
false
e is true, j is false, z is true, d is true, o is true, l is true, a is true, g is false, n is true, f is true
d implies f implies f and l implies g implies g implies e implies a or z implies f and o or e and j and n
13
true
e is false, w is false, b is false, u is false, d is false, i is false, k is false, l is false, a is true, g is false, n is false, c is false
l or d implies k or e and i and n or g or d or u or c and a implies a or k or b and l or w
15
true
e is false, r is true, j is true, m is true, p is true, w is true, x is false, z is false, t is false, h is true, f is true
x and z or w and p or t implies f and j and m or r or e implies t and h
11
false
m is false, w is false, p is true, b is false, i is false, t is false, d is true, a is true, n is true, u is false, g is false
u implies a implies t implies g implies w or p implies n and b or i and w or u implies d or m
12
true
e is true, r is true, q is true, w is false, x is false, z is false, f is true, o is true, t is true, k is false, d is false, l is true, h is true, c is false
r implies z or k implies x implies t implies k implies c and e and w or f implies o and d or h and l or q
14
true
e is false, r is false, q is false, p is true, b is false, h is true, w is false, u is true, c is true, i is true, d is false, g is true, f is false
f and g and p and u or e or i or b or r implies f implies d and c or h implies q implies w or f
14
true
j is false, m is false, w is true, u is false, c is true, i is true, d is false, k is true, y is false, l is false, h is false, g is false, f is false
u and h or l and f or k implies y implies j implies m implies m and i or w implies c implies d and j and g
14
false
g is false, k is true
k or g
1
true
e is true, j is false, s is false, p is false, w is false, x is true, z is false, o is false, t is true, d is false, y is false, g is false, v is true
s or z and g and v and z implies p implies x or w and e implies g implies o or t implies d and y and v and s and j and d
17
false
j is false, s is false, p is false, w is false, x is false, z is true, u is true, d is false, i is false, h is true, c is true
d implies c implies c or h implies p implies i or u and x implies h implies s or w or z and j
12
false
j is true, s is false, p is false, b is false, t is true, k is true, l is true, a is true, h is false
p implies l and a or h and t or s and j implies b and k implies l
9
true
e is true, q is false, p is false, b is false, o is false, d is true, y is true, i is false, k is true, a is false, t is true, n is true, f is true
n implies p implies o and b implies e and a or d implies y implies f or d and n or i and q and k or t
14
true
q is true, j is false, z is true, d is false, o is true, g is true, n is true
j implies q implies z implies g implies n or q implies d and o
7
false
e is false, p is false, w is true, z is false, t is true, k is true, y is true, g is false, a is true, l is false, u is true, n is true, c is true
n implies u and y implies e or k implies t or p or a or c and z and g and l and w
12
true
e is false, s is true, w is false, b is true, i is true, l is true, c is false
w and e or i implies i and b or c and l or s and i
8
true
m is false, s is true, o is true, t is false, u is false, c is false
m implies c and s implies o or u implies t
5
false
e is true, r is true, p is true, b is false, w is true, i is false, l is false, c is true
b and r and p implies c or w and e and i implies c implies l
8
false
y is true, k is false, s is true
k implies y and s
2
true
r is true, q is false, j is false, s is true, x is false, i is true, d is true, k is true, l is true, h is true, c is true
q implies j or h or r or i and h and s implies k implies c implies l and i and d and x implies r or s or i implies l implies q
17
false
m is false, j is true, s is true, p is false, b is false, i is true, o is false, k is false, d is true, l is false, a is false, c is false
p implies b or m and i implies k and c and i and j and o implies a or d and k and l or s
13
true
x is false, r is false, u is false, t is true
t and u or r and x and u and r
5
false
b is true, k is true, l is true, h is true, c is false
b or h or l or c and l implies k
5
true
r is true, m is false, p is true, b is false, o is false, k is true, v is false
k and p and k implies m implies b and r and r implies b and b or o or v implies m implies v
12
false
r is true, q is false, j is true, s is true, w is true, z is true, d is false, o is true, k is false, i is true, g is false, a is true, h is false, n is false, c is false
s or r implies q and n and c implies d implies z or o or c or k and h and j and w implies i and a and i or q and g and n
18
true
r is true, m is false, q is false, s is false, w is true, c is false, o is true, t is true, i is true, n is true, f is false
o implies q implies t and m and o or i or i or s and n and s implies f and w or c and c implies q implies r or c
16
true
j is true, s is true, p is false, o is false, t is true, y is false, l is false, a is false, u is false, n is true, f is false
o implies t or u and l or a or p or n implies y or j and s and s implies f implies s
12
true
b is true, x is true, z is true, i is false, o is false, k is false, t is true
b and o implies i and x or k or k or z or t
7
true
j is true, q is false, s is false, w is true, b is false, x is false, p is true, u is false, y is false, a is true, g is false, v is false
j or s implies v or g or y and w and a and x or u and g implies u implies q and b implies p or y
14
true
y is true, l is true, c is false
c implies y or l
2
true
x is false, z is true, f is true, d is false, o is true, k is false, y is false, a is true, c is true
c implies a or z implies c or d or x implies k and y implies k implies o and f
10
true
e is true, j is false, m is false, w is true, p is false, u is false, d is false, i is false, y is true, l is true, h is true, g is true
l implies h implies d and y and i or w and e implies j and g implies w implies p implies p and j or m and u and e implies w
16
true
r is false, j is false, q is false, m is true, w is false, o is true, i is false, k is false, y is false, d is true, h is true, v is false
y and j implies r implies q or k or o implies i or m and v and v implies o or w implies h and d
13
true
m is true, j is true, s is true, p is false, b is false, w is true, d is true, l is true, n is true, f is true
n and d or l and p and b and w implies m and s implies j implies f
9
true
m is false, w is true, b is false, t is true, a is true
a or m and b and b and w and t
5
true
m is false, q is true, p is true, w is false, x is true, f is false, o is true, t is false, y is true, k is false, l is false, a is true, h is true, n is true, c is false
t and o and y and m or c or o implies f and q or p implies t or c implies x and k and a and h or c or l implies x or w or n
19
true
q is true, w is true, b is false, p is false, i is true, t is true, y is false, k is false, d is true, g is true, u is true, n is true
w and i implies y or i or n and t implies w implies k and b implies w or y or i or q or u and u implies w and k or p and d implies g
19
true
x is true, k is false, s is true
s implies k implies x
2
true
e is false, q is true, j is false, w is false, b is true, x is true, z is false, f is true, v is false, t is false, k is true, u is false, g is false, c is false
b or u implies z or k and q implies j and k and e and g or x or z and w implies k or c or b or f or v implies x or t implies e
19
false
e is true, m is true, j is false, x is false, d is true, a is false, u is false, n is true, f is false
m implies m implies e implies m and a implies u implies n implies d and x or j implies f
10
true
e is true, p is false, o is true
o and e and p
2
false
e is true, m is true, j is true, h is false, d is false, u is false, n is true
e implies n or n implies m or d or m and u or h implies j
8
true
t is false, i is false, n is false, q is false
n or i implies t implies q
3
false
z is true, v is false
z or v
1
true
p is false, m is true
m implies p
1
false
r is true, m is false, b is false, g is false, f is false
f and g or r or b and m
4
true