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