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