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