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