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