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