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