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