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