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