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