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