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