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