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