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