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