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