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