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