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