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