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