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