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