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