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