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