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