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