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