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
q is false, w is true, b is false, h is false, u is true, i is false, t is false, a is false, g is false
b and a or t and g or q and u implies b or w or i implies w implies h or b
11
false
m is false, q is false, h is true, z is false
h or q and z or m
3
true
e is false, r is false, m is false, q is true, s is false, p is true, w is false, o is false, t is true, h is true, n is false, f is false
n implies f and s implies o or f or m or h and q and r or f implies p or t and e or w implies o implies p or q and q
17
true
j is false, q is true, w is true, b is false, p is true, z is false, u is false, f is true, o is true, t is false, k is true, y is true, a is false, h is false, n is true, v is true
v implies t or w implies h or k and u and o and z or j or y and f implies b implies q and y and a implies p or n
16
true
r is false, m is true, j is true, s is false, p is false, b is true, z is true, i is false, o is true, t is true, n is true
n or z implies p implies o implies i and p or t implies m and m or r implies t implies j and j or m or s implies b
15
true
e is true, j is true, d is true, t is true, o is false, n is false
n and j and t and e or t implies d and o
6
false
e is false, q is true, j is true, p is false, h is true, u is false, o is false, y is false, a is false, g is false
q or p implies h or g implies j implies o or y or u and h or e or p implies a
11
true
m is true, j is false, x is false, z is true, d is false, t is false, a is false, n is false, c is false
z or m and d or c and z and t implies x implies t implies a implies j or n implies a
11
false
e is true, m is true, q is false, c is false, d is false, i is false, y is true, t is false, o is true, a is true, v is false
m and y and v implies d implies i implies t or m implies v implies o implies o or a implies c implies e and q or i
14
true
j is false, s is false, b is false, x is true, z is false, o is true, d is true, k is false, l is true, a is true
l or x or a or s and k or k or l or k and s and l or a or s or o or z or j implies d and d or b implies b
18
false
q is false, j is true, m is false, s is true, p is false, w is true, b is false, x is true, i is false, d is false, o is true, y is true, n is false, u is true, g is false, c is false
i or u or c implies p and w implies d or g and b implies i implies n or q and o and j and y and o implies s or m or g or x
18
true
e is true, r is false, u is false, k is false, y is true, a is true, g is true
k or g and e or u and a and r or y implies g
7
true
e is false, j is false, q is true, s is true, p is true, b is true, x is false, i is true, o is true, k is true, d is false, l is true, g is false, n is true, f is false
i and k or n implies x implies f and b implies l or s and o or k or j implies s or f and p or q implies g and d implies e and s
18
true
s is true, b is false, o is false, t is true, a is false
b and a implies s implies o or t
4
true
j is false, s is false, p is false, w is true, o is true, t is false, k is true, h is true, n is false, v is false
s or k and t implies j implies j implies p implies w or o or t and n implies h or o or w or v
13
true
z is false, i is true, y is true, k is true, g is true, c is false
i and c implies k or z implies y implies g
5
true
e is false, r is false, j is true, q is false, h is false, z is true, u is true, i is true, k is true, y is false, l is false, g is true, v is false
j or l implies e implies g or z implies k and y or g or v implies i and k implies h implies r and u or q
14
true
e is true, r is true, m is true, j is false, q is true, w is false, b is true, p is true, d is false, i is true, k is false, a is false, n is false, h is false, g is false, c is true
g and k or h or b implies d and m implies w and e and c and r or r implies a implies r or p and e implies j and n or q or k implies h and i
20
false
e is true, r is true, j is true, s is true, b is true, o is false, a is false, h is false
j and s and a and e implies r or j implies b and h and o and b
9
false
e is false, r is true, m is false, q is false, w is false, b is true, p is true, z is true, f is false, v is true, o is true, t is false, i is true, u is false, n is false, c is true
t implies c and c implies c or e implies r or n or m or u or w or o or v implies b implies i and q implies o or f and e and p or z implies v
20
true
e is false, q is true, j is true, m is false, s is true, u is true, v is false, y is true, a is false, n is false, h is false, g is true, c is true
j and q and y implies c and a or h and j implies v implies g or u implies s implies u implies m implies n implies e
14
false
q is false, i is false, t is true, l is true, g is false
i implies i implies g or l or l implies q implies t
6
true
e is false, m is true, j is false, p is true, h is false, v is false, i is true, t is true, k is true, a is true, u is true, n is false, f is false
u or p implies n and k implies f and t and v or m and k implies a or e and h or p and i and k and j and v implies v
17
false
o is true, t is false
t and o
1
false
r is true, q is true, i is false, k is true, l is true, a is false, u is true, f is false
i and f implies l implies u and r and a and q implies k implies i
8
false
r is true, q is false, s is false, p is false, v is false, o is true, t is true, n is true, c is true
r or s implies o or t implies s and c and v and p and q and n implies n implies v
11
false
r is true, p is true, b is false, d is false, k is true, n is true
b implies r and k implies p and n or d
5
true
e is false, r is false, q is false, j is false, s is false, w is true, x is true, z is true, o is true, t is true, y is false, i is false, a is false, h is true, n is true, c is true
w and q implies j or r or a and y implies h and z implies j or t implies x implies e or o and i implies w implies s or x and n implies t or c implies j
20
false
j is false, s is false, w is true, o is false, y is false, a is true, u is false, g is true, f is false
o implies w and u implies y or f implies a or j implies g and g or y or s or u
11
true
e is true, r is true, m is true, s is true, p is true, b is true, z is true, t is true, y is false, k is false, h is false, c is false
k and s and z and z implies y implies h or b implies c implies t and p and e implies r or p implies y implies m and k
15
true
e is true, q is false, j is true, s is false, p is false, w is true, d is false, o is true, y is false, l is true, a is true, h is false, f is true
d and q and p and j implies e implies s implies y or d and w implies s or l or p implies a or w implies d and o or f or a implies q implies h implies j
20
true
v is false, w is false, u is true, c is false
c implies w and v or u
3
true
w is true, b is true, v is false
w and v implies b
2
true
e is true, q is true, m is true, j is true, x is true, z is false, t is false, y is false, l is false, h is true, g is false
t or m or q and t implies g implies h or j or y and l implies z implies h implies e implies g and x
13
false
i is false, k is false, z is true, u is true
i and u and z or k
3
false
h is true, t is true, c is true
h and t implies c
2
true
r is true, j is false, p is false, x is true, z is false, h is false, n is false, c is true
r implies j implies n implies c or c or r implies z implies p implies x implies h
9
false
m is false, b is true, u is true, d is true, y is true, l is true, g is true
d implies m or y implies g and u and b implies l
6
true
e is true, w is false, h is true, l is false
e and l or w and h
3
false
e is true, m is true, w is true, b is false, x is true, z is true, f is true, u is false, i is true, y is true, a is true, h is true, g is false, v is true
w implies z and h and v implies g or z and e implies i and x or h and a implies f implies u or i or y and x implies m implies w and v and b
19
false
e is false, j is true, m is true, q is false, s is false, b is false, x is true, z is true, o is true, d is true, k is false, y is false, l is false, t is true, u is true
s implies k and o or u implies j implies b and b or y or l or d or o implies m or x and t and u or z or b implies b or o implies e and q
20
false
e is true, j is false, s is false, x is false, z is false, i is false, t is true, a is true, f is false
f or i and s or z and x or j or t and x implies z and e or a
10
true
r is false, q is true, j is true, s is false, p is true, b is true, v is true, o is false, d is true, g is true, k is false, a is true, h is true, n is false, c is false
c or o implies q and r implies b implies h and s implies b implies j and n or g implies k implies a or v implies b and d and p
16
true
e is true, c is false, o is true, y is true, k is true, l is false, f is false
c implies l or y and f implies o implies k or c and y and k implies e
9
true
e is true, r is false, q is false, j is true, o is false, l is false, a is true, f is false
l implies o or l implies e or j and q and r and f or a
8
true
e is true, q is true, s is false, w is true, b is false, o is true, i is true, t is false, l is false, a is false, g is true, n is true, c is true
g or q and w or n implies a and o and l or g implies e implies b implies q or i implies t or s and c implies t
15
true
o is false, m is true, i is true, l is false
l and m or o and i
3
false
s is false, x is false, y is false, u is false, n is true
y and x implies s implies n or u
4
true
e is true, m is true, q is true, b is true, x is false, o is true, k is false, y is false, l is true, u is true, v is true
b or k and l or x and x implies m and o and q implies o and u implies v and y implies b or e
13
true
e is false, j is false, y is true, g is true, n is true, v is true
j and e implies y or v and n or g implies g and j
7
false
m is false, s is true, w is true, h is true, x is false, z is true, u is true, v is true, o is true, k is true, g is true, f is false
w or v or f implies g or s and z and u or m implies o or u and u and f and f implies x and m or h or g implies k implies m or w
19
true
j is false, s is true, d is false, n is false, v is false
v and n or d implies j implies s
4
true
s is true, b is true, x is false, i is false, g is false, l is true, a is false, h is true, n is true, f is false
x implies n and i implies a or n and l implies h and g or b and s implies s or n implies f
12
false
q is true, s is true, w is true, x is false, i is true, k is false, l is true, a is true, c is false
w and c implies l and i or l and s or a and x or w and k implies q
10
true
s is false, z is false, d is false, y is false, a is true, g is true, n is true
y and d implies s and n and z and a implies g implies s
7
false
e is true, n is false, y is true, k is false
k implies e or y or e implies n
4
false
r is true, m is true, w is false, o is false, t is true, n is true
o implies t and t or m and n implies w implies r
6
true
p is false, b is false, x is false, o is true
b or o and p or x
3
false
m is false, j is true, p is false, x is true, y is true, k is false, u is false, f is false
f or m implies p and y implies u or x or j implies k and x
8
false
e is true, q is true, w is false, b is false, x is false, t is false, y is true, k is true, l is true, c is false
k implies t or c and c implies y implies e or q or x and b and l implies w implies y
11
true
r is false, m is true, q is false, j is true, s is true, w is false, p is false, x is false, o is false, i is false, k is false, y is true, l is true, v is false
m or k and p implies v or w or r or q and p or o implies s or x implies l implies k and i implies q implies p or k or y or j and q
19
true
q is true, x is true, z is true, c is false, i is true, d is true, k is false, l is true, h is false, f is true
l implies q and l and z or i implies f implies c or z and h and k and d or x and x or l
13
true
r is false, s is true, b is false, u is true, c is true, d is true, l is false, a is true, g is false, n is false, f is false
a implies f or d implies b and a or l implies n implies g and c and s implies u and r implies r
12
false
q is true, d is false, y is true, l is true, h is true, n is true
n and h implies d and q implies y and d implies l
6
true
v is false, o is false, t is false, l is true
l and v and t or o and o
4
false
j is true, z is false, l is false, a is true, h is true, n is false, f is true
a implies f or z and n or j and z and l implies h
7
true
e is false, r is true, q is true, m is false, w is true, p is false, f is true, i is true, t is true, y is false, d is false, u is true, g is true, v is true
v implies u or y implies w implies u implies q implies t and m implies f and u or i implies t implies e implies r implies g and q and p and d and i or i
19
true
m is false, q is true, j is false, w is false, z is true, f is false, o is true, t is false, u is true, n is false, c is false
w implies q implies m implies z or n implies t or w or u and z implies c implies j or o and t and f
13
true
r is false, m is true, n is true, y is true
m or y or r or n
3
true
q is true, j is true, m is false, p is false, h is true, g is false, u is true, n is false, v is false
p implies v and j or u and q and m and p implies n or p and m and g and h
11
false
e is false, r is false, q is false, m is false, s is false, i is false, o is false, y is true, k is false, l is true, t is true, u is true
u and k implies y or q implies i or m or e implies u and u implies e or q or s or i or s and r implies l or o implies t
17
true
e is true, m is false, q is true, s is false, p is false, x is false, f is true, d is true, i is false, k is false, o is true, y is false, a is false, h is true, v is true
h and m or d or p implies e and i implies s or h implies v or k and o and q and x and d implies m or a or y and f implies a
18
true
j is true, s is false, w is false, h is false, x is true, d is true, o is false, k is false, i is true, a is true, g is true, c is true
k or c implies w implies g and d or h implies s and j implies h or o and a implies i and x
12
true
e is true, r is false, w is true, x is true, z is true, l is false, h is true, n is false
h or n and w and r and e and l and z implies x
7
true
e is false, r is false, s is true, w is false, x is true, f is true, v is false, o is false, l is false, a is false, h is false, g is true, c is false
w and o and a implies e and h or x and c or f implies r and w and s implies v implies l or c and g or a
15
false
r is false, y is true
r and y
1
false
r is true, m is false, s is true, d is false, i is false, g is true
g implies s implies i and m implies d or r and r
6
true
r is false, m is false, q is true, j is true, w is true, b is false, k is false, h is true, f is true
h and f and k implies w implies m or r and r implies q and w and b and f and j
11
true
m is false, p is false, b is false, x is true, i is false, a is true, g is true, n is false, v is false
g implies v and n and g and x and b or p implies m or i and a
9
true
r is false, m is true, q is true, s is true, p is true, w is false, c is false, d is false, o is false, y is false, l is false, a is true, f is true
l implies m and m or y or a or f implies c or s implies p and p or d implies r implies d or q or q and q or o or s implies w
18
false
e is true, q is false, w is true, x is false, i is false, a is false, h is true, c is true
a implies e implies h or w or c or x implies i and q
7
false
e is true, j is true, m is false, b is false, x is false, v is true, d is false, o is true, y is false, i is true, a is true, g is true, c is false
y or b or a or v implies c and d and d implies j or y and m and g implies o and i and i and e or x implies v implies x
17
false
w is false, p is true, z is true, o is true, v is false
o and p or v and z implies w
4
false
m is false, q is false, w is false, p is false, b is true, d is true, t is false, l is false, n is true, h is true, g is false, f is false
w implies p implies h implies t and b and h or d or m or f implies m or g implies p implies m implies w or q and l or n implies q implies w
18
true
p is true, b is false, x is false, v is true, y is true, l is true, u is true, f is true
b or u or u implies x and y and u implies l or f or v and p
9
true
r is true, q is false, w is true, p is false, h is false, b is false, x is false, d is true, g is true, a is true, u is false, n is false
r and u or q implies w implies p or n implies a implies h or d and b and r and x implies g or g or u
14
true
e is false, x is false, o is false, i is false, d is true, g is false
o implies e implies x or g implies i or d implies i
6
false
e is true, r is true, m is false, o is true, k is false, g is true, n is false
o or k and r and e implies m implies m implies o and n and n or g
9
true
m is true, j is false, s is true, p is false, b is true, x is false, i is true, l is false, a is true, u is true, n is true, f is true
n implies i or f implies p and b or m or p implies l implies m and j and a implies l and s and u or a or a implies x
16
false
r is true, q is true, w is true, z is false, d is true, t is false, k is false, i is true, a is false, h is false, f is false
q or a and t implies r and z or a or h or w and q or f and w or d or k and i and q
14
true
e is false, m is false, u is false, t is true, y is true, k is true, l is true, a is true, h is false, g is false, v is true
h implies t or m and a or u and v and e or e implies l implies y implies g or e implies k
12
true
x is false, u is true, o is true, y is true, a is true, h is true, n is true
x or a or o and h or n implies n or u and y
7
true
r is true, m is false, q is true, b is true, z is true, c is false, o is true, d is false, k is false, y is false, a is false, h is true, g is true, v is true
b implies m and q or h or o or g or v implies r and a and c or k implies d and a or q and v or k or q and y and d implies z implies d
20
false
m is false, z is true, g is false, n is false, f is false
g or m and z and f implies m and n and z or n
7
true
s is false, p is false, b is false, v is true, y is false, c is false
y and b or v implies c implies s and p implies c and c
7
false
r is true, x is false, l is true
x or l implies r implies l
3
true
r is false, m is true, j is false, s is false, p is false, w is false, x is true, o is true, t is false, k is true, y is false, i is false, a is false, l is true, u is true, g is true, c is false
u or r and m or o and a and o or k or g implies t implies j implies p and w and y and x or c implies i implies c or l or s implies a implies g
20
true
r is false, b is false, y is true, l is false, n is true
l implies n or y and r implies b
4
false
n is false, l is true, v is false
v and l and n implies v
3
true
r is false, p is true, u is false, o is false, t is false, g is true, c is true
g implies t implies u or r and c or p or o
6
true