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