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