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