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