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