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