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