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