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