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