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