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