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