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