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