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