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