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