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