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