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