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