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