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