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