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