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