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