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