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