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