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