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