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