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