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