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