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