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