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