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