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