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