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