facts
stringlengths
9
219
formula
stringlengths
6
173
num_operators
int64
1
20
gold_formula
bool
2 classes
p is true, z is true, o is true, t is true, d is true
o and z and z and d and p implies o and t and p
7
true
s is false, w is true, f is true, o is false, y is true, v is true
s or v implies y or y implies v or w and w implies o implies f
8
true
m is false, j is false, q is true, b is false, t is false, a is false, n is false, c is false
c implies m and j implies a or t implies q and n implies b
7
false
e is true, j is true, m is false, s is true, p is true, w is true, b is true, z is true, v is true, i is false, t is true, k is true, a is false, g is false, f is true
g implies v and s and f and a and t or p and e and j or w or b or j and m implies z or k or i or a implies v
17
true
j is true, p is true, x is true, d is false, y is true, n is true, f is true
y and j implies n and d and d or p or x implies f and f and n
9
true
m is true, b is true, z is true, d is true, u is true
u or u and d and b implies z and z implies m
6
true
e is false, s is true, p is false, b is true, i is false, o is true
i implies e or p and b or s or o or s
6
true
m is false, p is false, d is false, k is true, l is false, g is false, c is false
p or d implies c and p or k implies g or m and c and l
8
false
e is true, r is true, m is false, w is false, o is false, d is false, h is true
o and d implies r or w and h or m and e
6
true
e is true, m is false, s is false, w is true, p is false, x is true, o is false, i is false, y is false, n is false, f is false
n implies s or o and f and x implies e implies y and n and w or p and i and m
11
false
e is true, r is false, j is true, z is true, i is true, d is true, o is false, u is true
i or r implies d and r implies z or j implies u and e implies o implies r
9
true
q is true, d is false, k is true
d implies k implies q and d
3
false
e is false, r is true, z is false, f is false, d is true, t is true, k is true, y is true, a is true, u is false, c is true
t or r implies y implies u implies k or c and d and z or c or f implies k implies r implies a or e
13
true
e is true, q is false, m is true, j is false, s is false, w is false, b is true, p is true, c is true, d is false, y is false, g is true, n is true, v is true
d and s or q and e or b or y or n or m and v and w or g or p implies w implies c or s and n or w and s implies d and j
19
false
e is true, w is true, p is true, r is false
p and w implies r implies e
3
true
r is true, m is true, s is true, x is true, l is false, a is true, v is true
m implies v implies v and r implies m or m implies l or a and s implies x implies x
10
true
s is false, w is true, h is true, x is true, i is false, o is true, k is false, l is true, a is true, u is false, n is false, c is true
i and u implies l and i and x or w or s implies c and k or n or x or o and a implies h and k
14
false
j is true, m is false, w is true, b is true, c is false, d is true, t is true, k is true, y is false, a is true, n is true, v is true
w implies c or k implies n and v and j and d or y and a and m and d implies a and b implies a and t
14
true
s is true, w is false, p is false, z is false, o is true, t is true, y is false, h is false, n is true, f is false
f and w implies s and n and t or p and y and z implies o and h
9
false
e is false, q is true, j is true, w is false, b is true, p is true, d is true, i is true, y is true, k is true, a is false, f is true
y implies d implies j or q implies y implies i implies e and b or a or w or q and f and p or k and q
14
true
q is false, j is true, s is true, p is false, w is true, z is false, i is true, d is false, k is true, o is false, l is true, c is false
c or k implies p or s implies i implies q and k or z or l or w and j and d or o
12
true
c is true, l is true, v is false
v implies c and l
2
true
m is true, p is true, i is false, t is true, g is true
i implies p and m implies p and g implies t
5
true
e is true, s is false, i is true, t is false, g is false, f is true
i implies s and t and g and e implies f
5
true
j is false, s is true, w is true, b is false, x is false, p is false, o is true, t is false, k is false, l is false, g is false, v is false
o and b or w and v implies j or k implies x and g or k and t or p and s implies l or k or s
14
true
e is false, o is false, g is false, s is false
g or s and o and e
3
false
b is true, i is false, l is true
b and l or i
2
true
e is false, r is false, j is false, q is true, w is false, b is false, z is false, k is true, l is false, a is true, u is false, n is false, v is false
n and a or j implies r and u implies q implies w and a and b implies r implies e implies k or v implies z and v implies k implies l or n and l or a and r
20
false
e is false, q is true, s is false, w is false, p is true, z is true, o is false, k is false, y is false, l is false, a is true
p implies s and w and w or k implies q and l implies l implies z and e or e or o and a or q and z or o implies l or y
17
false
r is false, j is false, w is true, b is true, u is true, f is false, c is true, o is true, y is true, l is false, h is true, v is true
o or r and h implies w and w implies y and r or v implies u or l and c or o implies c and b and l implies f implies j
16
false
r is true, m is true, s is true, w is true, u is true, o is true, d is true, y is false, k is true, t is false, a is false, l is false, h is false, g is true, v is true
s and a and r and y and o or k or v implies d and t or m implies v or y implies h and u or l implies d or w implies g or v and o or a
20
true
s is true, w is false, z is true, u is false, d is true, i is true, o is true, y is true, l is false, a is false, t is false, h is true, v is true
a or d implies s implies d and w implies v or i implies z implies a implies w and h and o or v implies y implies u implies v or l and y or t or t
19
true
e is false, q is false, p is true, z is true, c is true, d is false, l is true, u is true, n is false, f is false
e or c implies d and c and f implies z and p and u or z or f and l implies q or n
12
false
w is true, v is true, d is false, o is true, t is true, l is true, h is true, n is false, f is true
v implies n or o implies f or d or f or t implies f and l implies w implies h
10
true
p is false, j is true, b is false
j and p implies b
2
true
j is false, s is false, w is false, o is false, t is true, u is true, g is false
u implies w or t and j and g implies o or g and s
7
true
e is false, r is false, p is false, b is true, w is false, x is true, z is true, c is false, o is false, t is true, y is true, k is true, l is true, d is true, a is false, f is false
e or r implies o or o or b or t and p or y or k and w or l and d implies w implies a or f and z or r or l implies c and x implies b
20
true
m is true, q is true, p is false, b is true, x is false, z is true, c is true, d is false, t is false, y is true, u is true, n is false, v is false
c implies n and b implies m or v and x implies z and y and u implies t implies t and p implies m and z and m and t or q and d implies b
18
true
e is false, r is false, j is true, q is true, m is true, w is true, p is false, x is false, z is false, v is false, d is true, k is false, u is false, n is false, f is true
u and r and z or z and w or d and d or k implies f or x or x and j or q and m or u implies n and e or v or v implies p
19
true
e is false, p is false, b is true, h is false, c is false, l is false, g is false, n is false, f is true
b implies p or n implies f and g and g implies e or c and h implies l
9
true
j is true, q is true, s is true, p is false, b is true, v is true, d is true, t is false, y is true, k is false, c is false
p implies k or y implies s implies p implies c and j and j implies s and q and p or p and s implies y implies v implies d and t or b and s
18
true
q is true, x is false, t is false, k is false, v is true
x implies k and q implies t implies v
4
true
x is false, k is false, l is false, g is true, v is true
l and v and k and x and g
4
false
e is false, u is false, b is true
e and u or b
2
true
e is true, r is true, j is false, w is false, b is true, z is true, o is false, t is true, y is false, i is true, a is true, u is false
b implies y and w and t and j and t implies o or a and r or i and e or j or o implies j implies o or i or j and z or y and b or u
20
true
m is true, j is false, q is false, s is false, h is false, w is true, b is true, p is true, f is true, u is true, d is false, o is false, a is false, g is false, n is false, c is true
m implies c and d implies g and n and a and f and f implies h implies n implies o implies u or s and j or u or g implies w and f and b implies q or p
20
true
q is false, m is true, s is false, b is true, x is true, z is true, d is false, i is false, y is true, h is false, v is true
s and y or v or v and q or d implies x and m or b implies i or h or z implies v implies i and h and s and i
16
false
p is false, h is false, z is true, u is false, c is false
c implies p or u implies h or p implies h or z
6
true
e is false, r is true, s is true, p is true, x is false, z is true, i is true, y is false, g is true, v is true
p implies e and p or r implies r implies v implies g or s or x and i and p implies s and i implies y implies s and z
15
true
e is false, r is false, q is true, p is true, x is false, z is true, u is true, o is true, k is true, y is false, l is true, g is false, n is true, c is true
o or k or o implies u or n implies g or r or p implies e and g and z and c or e implies q and u implies y implies l or x or y
18
true
r is false, j is true, p is true, h is false, x is true, w is true, z is false, b is true, c is true, i is false, t is false, y is true, l is false, u is true, v is false
j and r or v and i or u or x and p implies h or w implies z or c or t and y and l implies b
14
true
e is true, r is false, w is false, b is false, h is true, z is false, l is true, a is false, g is false
e or z and l or g implies g and w or w and a and g or r and w and b and h
12
false
m is false, s is true, p is false, u is false, d is true, i is true, k is false, g is true, l is false, a is true, h is true, n is true, f is true
k and d and i and f or m implies n and h implies l implies a or n or s or p or g or p and g or u
15
true
e is false, m is true, q is false, s is false, p is false, w is false, b is true, u is false, i is true, t is true, d is false, a is false, h is false, f is true
q or m and e and a implies a implies i implies t implies q implies d and t and h or p and w implies d and s and w implies u and q or b or f
19
true
e is true, m is true, w is false, u is false
u implies w and e and m
3
true
k is true, s is false, f is false, l is false
l or s implies k and f
3
true
e is true, r is true, m is false, q is true, p is true, w is false, z is false, o is true, i is false, t is true, y is true, u is false, n is false
p implies o and i or e and m and t or n and w implies p and q or z implies y implies i implies w and r and u
15
true
e is true, z is false, y is true, l is true, a is true
z implies e and e or a implies l implies y
5
true
e is false, b is true, x is true, i is false, o is false, t is false
b or o and x and e implies i implies o and t
6
true
q is false, m is true, w is true, x is false, u is false, v is false, d is true, y is false, k is false, a is false, h is true, n is true, f is true
d and n or a and d and q or h or y or k and x or u or m and u or f and x implies x implies m implies v implies d and n implies u or w
20
true
q is true, s is true, i is false, y is true, n is true, c is true
y or q and i implies i or c implies s and n
6
true
q is true, j is true, u is true, h is true, c is false
c or u implies j and q and h
4
true
j is false, w is true, b is false, z is false, f is true, i is false, t is false, y is false, l is true, h is false, g is true, c is false
w implies b implies c implies z implies y and l implies i or t and h implies g implies h or j implies f and c or w
14
true
m is false, x is true, t is true, k is true, n is false
k or m or t implies x and n
4
false
r is true, j is true, q is false, s is true, p is false, b is false, u is false, t is false, a is true, g is true, n is true, f is false
r and g and j implies b and u implies q implies a and p and u implies n or f and j implies t implies s
13
true
r is true, q is true, s is true, w is false, b is false, x is false, f is true, c is true, d is false, t is false, o is false, n is true, v is true
b implies f or d implies t and v or n and o implies r implies s and t or q or x or c implies w implies v and w implies r
16
true
e is false, j is true, x is true, o is true, y is false, a is false
y implies x or e implies j and o or a
5
true
e is false, m is false, h is true, x is true, f is false, d is false, i is true, y is true, t is false, l is false, a is true, u is true, g is true, v is true
v implies l or e and d implies i and e implies u implies y and f or m implies a implies g implies y and h or x implies g and t
16
false
e is true, m is false, q is false, j is true, h is false, p is false, x is true, u is true, c is false, t is true, g is true, f is true
q and m or g implies x and f and j and x or h or c implies u implies u or p implies e or g or p and t
15
true
q is true, p is true, b is true, x is true, d is false, y is false, k is false, u is false, f is false
q implies k implies q and y implies f and x implies p implies f and b or u implies d
10
true
r is false, q is true, w is true, z is false, d is false, t is true, c is true
r or z implies w implies q and d and c or q or t implies c or r
9
true
j is true, s is false, p is true, i is true, y is true, l is false, a is false, n is false
n or j or a implies i or y implies l and s implies p
7
true
q is true, j is false, w is true, l is false, u is true, n is false, c is true
w or c or l or q implies u or n and j
6
true
t is false, u is true, g is false, c is true
u implies c implies g and c implies t
4
true
z is false, o is true, l is true, h is false, v is true
l implies v implies z or h or o
4
true
z is true, o is false, t is false, a is true, v is false
v and t implies z or a implies o
4
false
m is false, s is true, p is true, d is false, o is false, y is true, u is true
s or o and p and d and u and m implies y
6
true
s is true, b is true, x is false, o is false, a is true
b or o and s implies x and a
4
false
p is true, u is false, t is false, c is true
c implies u and t implies p
3
true
e is false, r is false, q is true, m is false, p is true, x is true, z is false, f is true, c is false, k is true, y is true, v is true
x and z and v and p or e implies r implies q and k and v or m and q and c and f implies y
13
true
m is true, j is false, s is true, b is true, f is true, d is false, y is true, k is false, g is false, n is true, c is true
y and s implies s or d implies f and c or g or b or k implies m and j and d implies c implies k or n
14
true
p is true, g is false, b is true
g and g and b or p
3
true
m is false, w is true, h is false, z is true, d is true, t is false, y is false, o is false, k is false, u is true, n is true, c is true
y implies c and d and n or t and w or c or c and m implies o and z and m and k and w and u and h or d
16
true
e is false, r is false, m is false, j is true, s is true, w is true, x is true, o is true, i is false, d is false, k is true, n is false, c is true
w or c and o or c or x and m implies r and n or s and i implies d and w and e implies d or n and j implies k
16
true
e is false, q is false, w is true, b is true, x is false, i is true, k is true, y is false, l is true, h is true, f is true
w or e and x or k or y and w implies q and i and b implies q and k or f or l implies h and h and k
15
true
q is true, m is false, x is true, u is true, d is true, k is false, l is true, a is false, g is false
g or g implies d implies u implies a implies x or q and m implies l implies k implies k
10
true
j is true, m is false, h is true, z is false, d is true, y is false, k is true, u is true, g is false, f is false
z or f or u or y or g implies y implies d implies j and k implies h or m
10
true
q is true, s is false, w is true, b is false, t is true, k is true, l is false, a is false, f is false
l and t implies k and w and b or f or s and w implies a and b and k implies q
11
true
r is false, j is false, q is true, m is false, s is true, p is false, h is true, f is false, v is false, y is false, u is true, n is false, c is false
y and u implies p or s implies j or c implies q implies f implies h or q implies h implies m implies r and s implies n or v
15
false
r is false, g is true
r and g
1
false
m is true, j is false, w is false, b is true, z is false, d is false, i is true, k is false, y is true, l is true, a is true, t is false, g is true, n is false, v is false
m and j or w or m and a implies k and w and v implies g and b implies n or l implies z implies y or v or d and i or w and t implies a implies w
20
false
m is false, s is true, k is true, y is false, l is true, h is true, g is false
k implies h or m or s implies g or y or l
6
true
q is true, j is false, m is false, w is true, b is true, d is true, o is false, i is false, a is true, n is true, v is true
d or o implies q or b implies j or w implies v or q implies o implies a and i implies b implies m implies n or d and a
15
true
r is false, s is false, p is true, h is false, x is true, z is true, u is true, d is false, g is false, n is true, c is false
r or s and r or g or g implies u or g and n and d implies x implies g implies d or p or c implies z implies h
15
false
q is true, m is false, s is false, p is true, b is false, z is true, i is false, k is false, l is false, a is true, n is true
s implies i and a or k or q or n implies n and l and p and m implies z or b and i or q and m
14
true
e is true, m is true, j is false, q is true, s is true, w is false, p is false, v is true, c is false, t is false, l is true, u is true, n is true, f is true
w and m and f or s or p implies n or v or j and t implies q and u or f and e or c or n and l or w or v or w
18
true
e is true, s is true, p is true, w is true, x is false, b is true, z is false, t is false, y is true, a is false, h is false, n is false
z and t or p implies e or a and n or w implies y or x or s or b implies h
11
false
e is false, m is false, w is true, x is true, v is false, i is true, o is false, y is false, k is true, l is true, u is true, n is false, c is false
e and x and c or l and n implies v implies m or w implies i and i and y implies m and x and v implies k or o implies i and u implies l
18
true
r is true, j is true, m is true, s is false, p is true, b is true, z is true, o is false, i is false, k is true, f is false
k or b or p implies z implies s implies o and j or i or f or i or m and r and f and o and s or k implies b
16
true
e is false, r is false, s is true, w is false, v is false, d is true, o is true, k is true, y is false, t is true, h is true, g is false, c is false
e and c implies w implies c or r or s or k implies y and h and h implies r implies g or d and c implies o and s and y and t implies v implies d
19
true