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