context
stringlengths 93
178
| hypothesis
stringlengths 50
117
| valid_hypothesis
stringlengths 50
117
| invalid_hypothesis
stringlengths 49
115
| problog
stringlengths 248
252
| probability_word
stringclasses 19
values | distractor
stringclasses 19
values | hypothesis_assertion
stringlengths 34
77
| label
class label 2
classes | idx
int32 0
4k
| probability
float32 0
1
|
|---|---|---|---|---|---|---|---|---|---|---|
It is unlikely that Daniel got the football. It is highly likely that John went to the garden. It is highly unlikely that Greg is white.
|
There is a very good chance that 'John went to the garden and Daniel got the football'.
|
It is unlikely that 'John went to the garden and Daniel got the football'.
|
There is a very good chance that 'John went to the garden and Daniel got the football'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.9::factB.
0.05::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
|
unlikely
|
very good chance
|
'John went to the garden and Daniel got the football'.
| 0valid
| 3,800 | 0.18 |
We believe that Greg is green. There is little chance that Brian is a swan. We believe that Sandra put down the milk.
|
It is probably the case that either 'Brian is a swan' or 'Sandra put down the milk' but not both.
|
It is probably the case that either 'Brian is a swan' or 'Sandra put down the milk' but not both.
|
Chances are slight that either 'Brian is a swan' or 'Sandra put down the milk' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.1::factB.
0.75::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
probably
|
chances are slight
|
Either 'Brian is a swan' or 'Sandra put down the milk' but not both.
| 1invalid
| 3,801 | 0.7 |
It is probably the case that Brian is a frog. It is likely that John went to the office. We believe that Lily is white.
|
Chances are about even that either 'Lily is white' or 'Brian is a frog' but not both.
|
Chances are about even that either 'Lily is white' or 'Brian is a frog' but not both.
|
It is highly unlikely that either 'Lily is white' or 'Brian is a frog' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.7::factB.
0.75::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
|
about even
|
highly unlikely
|
Either 'Lily is white' or 'Brian is a frog' but not both.
| 1invalid
| 3,802 | 0.4 |
It is certain that Emily is a sheep. There is a better than even chance that John went to the garden. It is improbable that Bernhard is a swan.
|
There is little chance that 'Emily is a sheep' or 'John went to the garden' or both.
|
It is certain that 'Emily is a sheep' or 'John went to the garden' or both.
|
There is little chance that 'Emily is a sheep' or 'John went to the garden' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
1.0::factA.
0.6::factB.
0.1::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
certain
|
little chance
|
'Emily is a sheep' or 'John went to the garden' or both.
| 0valid
| 3,803 | 1 |
There is little chance that Jason is tired. Chances are about even that Bernhard is a frog. It is probably the case that Emily is a sheep.
|
It is certain that 'Bernhard is a frog and Emily is a sheep'.
|
It is probably not the case that 'Bernhard is a frog and Emily is a sheep'.
|
It is certain that 'Bernhard is a frog and Emily is a sheep'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.5::factB.
0.7::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
|
probably not
|
certain
|
'Bernhard is a frog and Emily is a sheep'.
| 0valid
| 3,804 | 0.35 |
It is certain that John moved to the garden. It is certain that Greg is yellow. We believe that Bernhard is yellow.
|
It is probably not the case that either 'John moved to the garden' or 'Bernhard is yellow' but not both.
|
It is probably not the case that either 'John moved to the garden' or 'Bernhard is yellow' but not both.
|
There is a very good chance that either 'John moved to the garden' or 'Bernhard is yellow' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
1.0::factA.
1.0::factB.
0.75::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
|
probably not
|
very good chance
|
Either 'John moved to the garden' or 'Bernhard is yellow' but not both.
| 1invalid
| 3,805 | 0.25 |
We believe that Julius is white. It is impossible that Jessica is a cat. There is a better than even chance that Mary got the apple.
|
It is highly likely that 'Mary got the apple' or 'Julius is white' or both.
|
It is highly likely that 'Mary got the apple' or 'Julius is white' or both.
|
It is probably not the case that 'Mary got the apple' or 'Julius is white' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.0::factB.
0.6::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
highly likely
|
probably not
|
'Mary got the apple' or 'Julius is white' or both.
| 1invalid
| 3,806 | 0.9 |
It is unlikely that Mary left the milk. It is probable that Julius is a swan. There is little chance that Lily is yellow.
|
It is probably not the case that 'Lily is yellow' or 'Mary left the milk' or both.
|
It is probably not the case that 'Lily is yellow' or 'Mary left the milk' or both.
|
It is certain that 'Lily is yellow' or 'Mary left the milk' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
probably not
|
certain
|
'Lily is yellow' or 'Mary left the milk' or both.
| 1invalid
| 3,807 | 0.28 |
Chances are slight that Mary left the football. Chances are about even that Brian is a rhino. It is probable that Greg is a lion.
|
It is probably not the case that 'Greg is a lion and Brian is a rhino'.
|
It is probably not the case that 'Greg is a lion and Brian is a rhino'.
|
We believe that 'Greg is a lion and Brian is a rhino'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.5::factB.
0.7::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
|
probably not
|
we believe
|
'Greg is a lion and Brian is a rhino'.
| 1invalid
| 3,808 | 0.35 |
There is a very good chance that John put down the apple. It is highly likely that Bernhard is green. It is highly unlikely that Lily is white.
|
It is highly unlikely that 'Lily is white' or 'Bernhard is green' or both.
|
It is highly likely that 'Lily is white' or 'Bernhard is green' or both.
|
It is highly unlikely that 'Lily is white' or 'Bernhard is green' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.8::factA.
0.9::factB.
0.05::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
|
highly likely
|
highly unlikely
|
'Lily is white' or 'Bernhard is green' or both.
| 0valid
| 3,809 | 0.905 |
It is unlikely that Julius is gray. It is highly likely that Lily is yellow. It is probable that John took the football.
|
It is certain that 'Julius is gray and John took the football'.
|
It is improbable that 'Julius is gray and John took the football'.
|
It is certain that 'Julius is gray and John took the football'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.9::factB.
0.7::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
|
improbable
|
certain
|
'Julius is gray and John took the football'.
| 0valid
| 3,810 | 0.14 |
It is highly unlikely that Julius is a swan. There is a better than even chance that Mary took the milk. There is a very good chance that Brian is white.
|
It is highly likely that 'Mary took the milk' or 'Brian is white' or both.
|
It is highly likely that 'Mary took the milk' or 'Brian is white' or both.
|
There is little chance that 'Mary took the milk' or 'Brian is white' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.05::factA.
0.6::factB.
0.8::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
|
highly likely
|
little chance
|
'Mary took the milk' or 'Brian is white' or both.
| 1invalid
| 3,811 | 0.92 |
We doubt that Sumit is bored. Chances are slight that Mary is in the bathroom. Chances are slight that Julius is gray.
|
It is probably the case that 'Sumit is bored and Mary is in the bathroom'.
|
There is almost no chance that 'Sumit is bored and Mary is in the bathroom'.
|
It is probably the case that 'Sumit is bored and Mary is in the bathroom'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.1::factB.
0.1::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
|
almost no chance
|
probably
|
'Sumit is bored and Mary is in the bathroom'.
| 0valid
| 3,812 | 0.02 |
We doubt that John went to the office. It is highly likely that Brian is a swan. It is certain that Greg is white.
|
We doubt that 'John went to the office and Brian is a swan'.
|
We doubt that 'John went to the office and Brian is a swan'.
|
It is almost certain that 'John went to the office and Brian is a swan'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.9::factB.
1.0::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
|
we doubt
|
almost certain
|
'John went to the office and Brian is a swan'.
| 1invalid
| 3,813 | 0.18 |
It is likely that Gertrude is a mouse. It is certain that Lily is white. It is almost certain that Jessica is a cat.
|
It is certain that 'Lily is white' or 'Gertrude is a mouse' or both.
|
It is certain that 'Lily is white' or 'Gertrude is a mouse' or both.
|
Chances are about even that 'Lily is white' or 'Gertrude is a mouse' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
1.0::factB.
0.95::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
|
certain
|
about even
|
'Lily is white' or 'Gertrude is a mouse' or both.
| 1invalid
| 3,814 | 1 |
It is highly unlikely that Brian is white. It is likely that Daniel dropped the milk. We doubt that Greg is a swan.
|
We doubt that either 'Brian is white' or 'Daniel dropped the milk' but not both.
|
It is probable that either 'Brian is white' or 'Daniel dropped the milk' but not both.
|
We doubt that either 'Brian is white' or 'Daniel dropped the milk' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.05::factA.
0.7::factB.
0.2::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
|
probable
|
we doubt
|
Either 'Brian is white' or 'Daniel dropped the milk' but not both.
| 0valid
| 3,815 | 0.68 |
It is highly likely that Brian is a rhino. It is unlikely that John moved to the office. There is a better than even chance that Lily is gray.
|
It is almost certain that 'Lily is gray' or 'Brian is a rhino' or both.
|
It is almost certain that 'Lily is gray' or 'Brian is a rhino' or both.
|
It is highly unlikely that 'Lily is gray' or 'Brian is a rhino' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.9::factA.
0.2::factB.
0.6::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
almost certain
|
highly unlikely
|
'Lily is gray' or 'Brian is a rhino' or both.
| 1invalid
| 3,816 | 0.96 |
There is a very good chance that Julius is a frog. Chances are about even that Mary went to the bedroom. It is impossible that Emily is a mouse.
|
It is impossible that 'Emily is a mouse' or 'Mary went to the bedroom' or both.
|
Chances are about even that 'Emily is a mouse' or 'Mary went to the bedroom' or both.
|
It is impossible that 'Emily is a mouse' or 'Mary went to the bedroom' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.8::factA.
0.5::factB.
0.0::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
|
about even
|
impossible
|
'Emily is a mouse' or 'Mary went to the bedroom' or both.
| 0valid
| 3,817 | 0.5 |
It is impossible that John moved to the office. Chances are about even that Julius is a swan. Chances are about even that Brian is yellow.
|
Chances are about even that 'Julius is a swan' or 'John moved to the office' or both.
|
Chances are about even that 'Julius is a swan' or 'John moved to the office' or both.
|
It is impossible that 'Julius is a swan' or 'John moved to the office' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.0::factA.
0.5::factB.
0.5::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
|
about even
|
impossible
|
'Julius is a swan' or 'John moved to the office' or both.
| 1invalid
| 3,818 | 0.5 |
It is almost certain that John dropped the milk. We believe that Winona is a cat. There is almost no chance that Sumit is thirsty.
|
There is almost no chance that 'Sumit is thirsty and Winona is a cat'.
|
There is almost no chance that 'Sumit is thirsty and Winona is a cat'.
|
It is highly likely that 'Sumit is thirsty and Winona is a cat'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.95::factA.
0.75::factB.
0.02::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
|
almost no chance
|
highly likely
|
'Sumit is thirsty and Winona is a cat'.
| 1invalid
| 3,819 | 0.015 |
It is highly likely that Mary got the apple. It is probable that Julius is a lion. There is little chance that Bill moved to the office.
|
It is almost certain that 'Mary got the apple' or 'Julius is a lion' or both.
|
It is almost certain that 'Mary got the apple' or 'Julius is a lion' or both.
|
It is improbable that 'Mary got the apple' or 'Julius is a lion' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.9::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
almost certain
|
improbable
|
'Mary got the apple' or 'Julius is a lion' or both.
| 1invalid
| 3,820 | 0.97 |
We believe that John left the milk. Chances are slight that Winona is a cat. Chances are slight that Lily is yellow.
|
It is improbable that 'Lily is yellow and John left the milk'.
|
It is improbable that 'Lily is yellow and John left the milk'.
|
There is a very good chance that 'Lily is yellow and John left the milk'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.1::factB.
0.1::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
|
improbable
|
very good chance
|
'Lily is yellow and John left the milk'.
| 1invalid
| 3,821 | 0.075 |
It is probable that Sandra is in the kitchen. There is almost no chance that Julius is a frog. It is improbable that Fred went to the garden.
|
It is probably not the case that 'Sandra is in the kitchen' or 'Julius is a frog' or both.
|
It is probable that 'Sandra is in the kitchen' or 'Julius is a frog' or both.
|
It is probably not the case that 'Sandra is in the kitchen' or 'Julius is a frog' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.02::factB.
0.1::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
probable
|
probably not
|
'Sandra is in the kitchen' or 'Julius is a frog' or both.
| 0valid
| 3,822 | 0.706 |
There is almost no chance that Brian is gray. It is certain that Greg is white. It is probably not the case that Mary picked up the milk.
|
It is improbable that either 'Greg is white' or 'Brian is gray' but not both.
|
It is certain that either 'Greg is white' or 'Brian is gray' but not both.
|
It is improbable that either 'Greg is white' or 'Brian is gray' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.02::factA.
1.0::factB.
0.25::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
|
certain
|
improbable
|
Either 'Greg is white' or 'Brian is gray' but not both.
| 0valid
| 3,823 | 0.98 |
We believe that Brian is yellow. There is little chance that Mary went to the office. It is highly unlikely that Julius is a frog.
|
It is almost certain that 'Julius is a frog and Brian is yellow'.
|
It is highly unlikely that 'Julius is a frog and Brian is yellow'.
|
It is almost certain that 'Julius is a frog and Brian is yellow'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.1::factB.
0.05::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
|
highly unlikely
|
almost certain
|
'Julius is a frog and Brian is yellow'.
| 0valid
| 3,824 | 0.0375 |
We believe that Emily is a wolf. There is almost no chance that Jeff left the apple. It is impossible that Lily is yellow.
|
We believe that either 'Jeff left the apple' or 'Emily is a wolf' but not both.
|
We believe that either 'Jeff left the apple' or 'Emily is a wolf' but not both.
|
It is probably not the case that either 'Jeff left the apple' or 'Emily is a wolf' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.02::factB.
0.0::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
|
we believe
|
probably not
|
Either 'Jeff left the apple' or 'Emily is a wolf' but not both.
| 1invalid
| 3,825 | 0.74 |
There is a very good chance that Mary took the milk. It is highly unlikely that Jessica is a cat. There is almost no chance that Daniel got the football.
|
Chances are slight that 'Mary took the milk' or 'Jessica is a cat' or both.
|
There is a very good chance that 'Mary took the milk' or 'Jessica is a cat' or both.
|
Chances are slight that 'Mary took the milk' or 'Jessica is a cat' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.8::factA.
0.05::factB.
0.02::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
very good chance
|
chances are slight
|
'Mary took the milk' or 'Jessica is a cat' or both.
| 0valid
| 3,826 | 0.81 |
It is likely that Mary moved to the garden. It is almost certain that Daniel dropped the milk. There is little chance that Jeff discarded the milk.
|
It is likely that 'Mary moved to the garden and Jeff discarded the milk'.
|
It is highly unlikely that 'Mary moved to the garden and Jeff discarded the milk'.
|
It is likely that 'Mary moved to the garden and Jeff discarded the milk'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.95::factB.
0.1::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
|
highly unlikely
|
likely
|
'Mary moved to the garden and Jeff discarded the milk'.
| 0valid
| 3,827 | 0.07 |
There is a better than even chance that Jeff discarded the milk. It is probably the case that Emily is a sheep. It is highly likely that Brian is yellow.
|
It is highly unlikely that 'Brian is yellow' or 'Jeff discarded the milk' or both.
|
It is almost certain that 'Brian is yellow' or 'Jeff discarded the milk' or both.
|
It is highly unlikely that 'Brian is yellow' or 'Jeff discarded the milk' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.6::factA.
0.7::factB.
0.9::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
almost certain
|
highly unlikely
|
'Brian is yellow' or 'Jeff discarded the milk' or both.
| 0valid
| 3,828 | 0.96 |
It is probably not the case that Mary went to the bedroom. It is likely that Brian is a rhino. It is likely that Greg is a swan.
|
Chances are about even that either 'Greg is a swan' or 'Brian is a rhino' but not both.
|
Chances are about even that either 'Greg is a swan' or 'Brian is a rhino' but not both.
|
It is almost certain that either 'Greg is a swan' or 'Brian is a rhino' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.25::factA.
0.7::factB.
0.7::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
|
about even
|
almost certain
|
Either 'Greg is a swan' or 'Brian is a rhino' but not both.
| 1invalid
| 3,829 | 0.42 |
It is almost certain that John put down the apple. There is almost no chance that Brian is yellow. We believe that Lily is gray.
|
We doubt that 'Brian is yellow' or 'Lily is gray' or both.
|
We believe that 'Brian is yellow' or 'Lily is gray' or both.
|
We doubt that 'Brian is yellow' or 'Lily is gray' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.95::factA.
0.02::factB.
0.75::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
|
we believe
|
we doubt
|
'Brian is yellow' or 'Lily is gray' or both.
| 0valid
| 3,830 | 0.755 |
It is probably not the case that Julius is a rhino. It is almost certain that John went to the kitchen. It is almost certain that Bernhard is a lion.
|
It is almost certain that 'John went to the kitchen' or 'Julius is a rhino' or both.
|
It is almost certain that 'John went to the kitchen' or 'Julius is a rhino' or both.
|
There is almost no chance that 'John went to the kitchen' or 'Julius is a rhino' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.25::factA.
0.95::factB.
0.95::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
|
almost certain
|
almost no chance
|
'John went to the kitchen' or 'Julius is a rhino' or both.
| 1invalid
| 3,831 | 0.9625 |
Chances are slight that Julius is a rhino. We believe that John went to the office. It is probable that Brian is white.
|
It is improbable that 'John went to the office and Julius is a rhino'.
|
It is improbable that 'John went to the office and Julius is a rhino'.
|
It is likely that 'John went to the office and Julius is a rhino'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.75::factB.
0.7::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
|
improbable
|
likely
|
'John went to the office and Julius is a rhino'.
| 1invalid
| 3,832 | 0.075 |
There is little chance that Jeff put down the milk. It is unlikely that Bernhard is a rhino. It is certain that Brian is a swan.
|
It is improbable that 'Brian is a swan' or 'Jeff put down the milk' or both.
|
It is certain that 'Brian is a swan' or 'Jeff put down the milk' or both.
|
It is improbable that 'Brian is a swan' or 'Jeff put down the milk' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.2::factB.
1.0::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
certain
|
improbable
|
'Brian is a swan' or 'Jeff put down the milk' or both.
| 0valid
| 3,833 | 1 |
It is certain that Mary went to the garden. It is probably not the case that Julius is a lion. It is highly unlikely that Brian is white.
|
It is probably the case that 'Mary went to the garden and Brian is white'.
|
It is highly unlikely that 'Mary went to the garden and Brian is white'.
|
It is probably the case that 'Mary went to the garden and Brian is white'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
1.0::factA.
0.25::factB.
0.05::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
|
highly unlikely
|
probably
|
'Mary went to the garden and Brian is white'.
| 0valid
| 3,834 | 0.05 |
We doubt that Mary went to the garden. Chances are about even that Greg is gray. There is a very good chance that Bernhard is green.
|
There is almost no chance that either 'Mary went to the garden' or 'Bernhard is green' but not both.
|
It is probable that either 'Mary went to the garden' or 'Bernhard is green' but not both.
|
There is almost no chance that either 'Mary went to the garden' or 'Bernhard is green' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.5::factB.
0.8::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
|
probable
|
almost no chance
|
Either 'Mary went to the garden' or 'Bernhard is green' but not both.
| 0valid
| 3,835 | 0.68 |
Chances are about even that Julius is a lion. There is a better than even chance that John picked up the apple. Chances are about even that Mary took the milk.
|
Chances are about even that either 'Julius is a lion' or 'Mary took the milk' but not both.
|
Chances are about even that either 'Julius is a lion' or 'Mary took the milk' but not both.
|
It is almost certain that either 'Julius is a lion' or 'Mary took the milk' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.5::factA.
0.6::factB.
0.5::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
|
about even
|
almost certain
|
Either 'Julius is a lion' or 'Mary took the milk' but not both.
| 1invalid
| 3,836 | 0.5 |
There is a better than even chance that Mary went to the hallway. We doubt that Greg is a frog. It is certain that Bernhard is white.
|
It is improbable that either 'Mary went to the hallway' or 'Greg is a frog' but not both.
|
There is a better than even chance that either 'Mary went to the hallway' or 'Greg is a frog' but not both.
|
It is improbable that either 'Mary went to the hallway' or 'Greg is a frog' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.6::factA.
0.2::factB.
1.0::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
|
better than even
|
improbable
|
Either 'Mary went to the hallway' or 'Greg is a frog' but not both.
| 0valid
| 3,837 | 0.56 |
Chances are about even that Brian is yellow. It is unlikely that Julius is yellow. There is little chance that John moved to the garden.
|
There is almost no chance that 'John moved to the garden and Julius is yellow'.
|
There is almost no chance that 'John moved to the garden and Julius is yellow'.
|
There is a very good chance that 'John moved to the garden and Julius is yellow'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.5::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
|
almost no chance
|
very good chance
|
'John moved to the garden and Julius is yellow'.
| 1invalid
| 3,838 | 0.02 |
We believe that Brian is white. There is little chance that John went to the office. Chances are about even that Mary left the milk.
|
There is a better than even chance that 'Mary left the milk' or 'John went to the office' or both.
|
There is a better than even chance that 'Mary left the milk' or 'John went to the office' or both.
|
There is little chance that 'Mary left the milk' or 'John went to the office' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.1::factB.
0.5::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
|
better than even
|
little chance
|
'Mary left the milk' or 'John went to the office' or both.
| 1invalid
| 3,839 | 0.55 |
There is little chance that John put down the apple. There is a very good chance that Fred went to the garden. We doubt that Julius is a lion.
|
There is little chance that 'Julius is a lion' or 'Fred went to the garden' or both.
|
There is a very good chance that 'Julius is a lion' or 'Fred went to the garden' or both.
|
There is little chance that 'Julius is a lion' or 'Fred went to the garden' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.8::factB.
0.2::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
|
very good chance
|
little chance
|
'Julius is a lion' or 'Fred went to the garden' or both.
| 0valid
| 3,840 | 0.84 |
It is highly likely that Julius is white. We doubt that Bernhard is yellow. There is little chance that John left the milk.
|
It is probably not the case that either 'Bernhard is yellow' or 'John left the milk' but not both.
|
It is probably not the case that either 'Bernhard is yellow' or 'John left the milk' but not both.
|
There is a very good chance that either 'Bernhard is yellow' or 'John left the milk' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.9::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
probably not
|
very good chance
|
Either 'Bernhard is yellow' or 'John left the milk' but not both.
| 1invalid
| 3,841 | 0.26 |
There is little chance that Bernhard is a swan. It is probable that Sandra dropped the milk. It is probably not the case that Yann is bored.
|
We believe that 'Bernhard is a swan' or 'Sandra dropped the milk' or both.
|
We believe that 'Bernhard is a swan' or 'Sandra dropped the milk' or both.
|
Chances are slight that 'Bernhard is a swan' or 'Sandra dropped the milk' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.7::factB.
0.25::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
we believe
|
chances are slight
|
'Bernhard is a swan' or 'Sandra dropped the milk' or both.
| 1invalid
| 3,842 | 0.73 |
There is a very good chance that Jason is thirsty. It is probably the case that John discarded the apple. It is improbable that Bernhard is a frog.
|
It is certain that either 'John discarded the apple' or 'Jason is thirsty' but not both.
|
Chances are about even that either 'John discarded the apple' or 'Jason is thirsty' but not both.
|
It is certain that either 'John discarded the apple' or 'Jason is thirsty' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.8::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
|
about even
|
certain
|
Either 'John discarded the apple' or 'Jason is thirsty' but not both.
| 0valid
| 3,843 | 0.38 |
There is a very good chance that Sandra got the football. There is almost no chance that Mary went to the kitchen. It is likely that Lily is green.
|
Chances are slight that either 'Sandra got the football' or 'Mary went to the kitchen' but not both.
|
There is a very good chance that either 'Sandra got the football' or 'Mary went to the kitchen' but not both.
|
Chances are slight that either 'Sandra got the football' or 'Mary went to the kitchen' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.8::factA.
0.02::factB.
0.7::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
|
very good chance
|
chances are slight
|
Either 'Sandra got the football' or 'Mary went to the kitchen' but not both.
| 0valid
| 3,844 | 0.788 |
It is probably the case that Mary moved to the garden. There is a very good chance that Jeff left the apple. It is almost certain that Greg is yellow.
|
Chances are slight that 'Mary moved to the garden and Jeff left the apple'.
|
There is a better than even chance that 'Mary moved to the garden and Jeff left the apple'.
|
Chances are slight that 'Mary moved to the garden and Jeff left the apple'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.8::factB.
0.95::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
|
better than even
|
chances are slight
|
'Mary moved to the garden and Jeff left the apple'.
| 0valid
| 3,845 | 0.56 |
It is unlikely that Lily is a swan. It is probably not the case that John is in the garden. It is highly likely that Greg is white.
|
It is probably not the case that 'Greg is white and John is in the garden'.
|
It is probably not the case that 'Greg is white and John is in the garden'.
|
It is almost certain that 'Greg is white and John is in the garden'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.25::factB.
0.9::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
|
probably not
|
almost certain
|
'Greg is white and John is in the garden'.
| 1invalid
| 3,846 | 0.225 |
Chances are slight that Mary dropped the apple. It is probable that Brian is a rhino. There is almost no chance that Bernhard is a frog.
|
It is likely that 'Mary dropped the apple and Bernhard is a frog'.
|
It is impossible that 'Mary dropped the apple and Bernhard is a frog'.
|
It is likely that 'Mary dropped the apple and Bernhard is a frog'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.7::factB.
0.02::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
|
impossible
|
likely
|
'Mary dropped the apple and Bernhard is a frog'.
| 0valid
| 3,847 | 0.002 |
It is improbable that Greg is a rhino. It is likely that Mary grabbed the milk. Chances are about even that Julius is gray.
|
It is highly unlikely that 'Greg is a rhino and Mary grabbed the milk'.
|
It is highly unlikely that 'Greg is a rhino and Mary grabbed the milk'.
|
There is a better than even chance that 'Greg is a rhino and Mary grabbed the milk'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.7::factB.
0.5::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
|
highly unlikely
|
better than even
|
'Greg is a rhino and Mary grabbed the milk'.
| 1invalid
| 3,848 | 0.07 |
There is almost no chance that Mary picked up the milk. It is likely that Winona is a cat. There is almost no chance that Greg is a rhino.
|
It is likely that either 'Winona is a cat' or 'Mary picked up the milk' but not both.
|
It is likely that either 'Winona is a cat' or 'Mary picked up the milk' but not both.
|
It is impossible that either 'Winona is a cat' or 'Mary picked up the milk' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.02::factA.
0.7::factB.
0.02::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
|
likely
|
impossible
|
Either 'Winona is a cat' or 'Mary picked up the milk' but not both.
| 1invalid
| 3,849 | 0.692 |
It is probably the case that John took the apple. There is little chance that Winona is a wolf. It is impossible that Daniel got the milk.
|
There is little chance that either 'Winona is a wolf' or 'Daniel got the milk' but not both.
|
There is little chance that either 'Winona is a wolf' or 'Daniel got the milk' but not both.
|
It is almost certain that either 'Winona is a wolf' or 'Daniel got the milk' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.1::factB.
0.0::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
little chance
|
almost certain
|
Either 'Winona is a wolf' or 'Daniel got the milk' but not both.
| 1invalid
| 3,850 | 0.1 |
It is highly likely that Jeff dropped the apple. It is improbable that Lily is white. There is a very good chance that John went to the hallway.
|
We believe that either 'John went to the hallway' or 'Lily is white' but not both.
|
We believe that either 'John went to the hallway' or 'Lily is white' but not both.
|
It is highly unlikely that either 'John went to the hallway' or 'Lily is white' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.9::factA.
0.1::factB.
0.8::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
|
we believe
|
highly unlikely
|
Either 'John went to the hallway' or 'Lily is white' but not both.
| 1invalid
| 3,851 | 0.74 |
We believe that John moved to the garden. It is almost certain that Mary went to the office. It is almost certain that Gertrude is a sheep.
|
Chances are slight that either 'Gertrude is a sheep' or 'Mary went to the office' but not both.
|
Chances are slight that either 'Gertrude is a sheep' or 'Mary went to the office' but not both.
|
There is a very good chance that either 'Gertrude is a sheep' or 'Mary went to the office' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.95::factB.
0.95::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
|
chances are slight
|
very good chance
|
Either 'Gertrude is a sheep' or 'Mary went to the office' but not both.
| 1invalid
| 3,852 | 0.095 |
It is almost certain that Lily is yellow. It is likely that Greg is gray. It is probably the case that Jessica is a sheep.
|
There is almost no chance that either 'Greg is gray' or 'Jessica is a sheep' but not both.
|
Chances are about even that either 'Greg is gray' or 'Jessica is a sheep' but not both.
|
There is almost no chance that either 'Greg is gray' or 'Jessica is a sheep' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.95::factA.
0.7::factB.
0.7::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
about even
|
almost no chance
|
Either 'Greg is gray' or 'Jessica is a sheep' but not both.
| 0valid
| 3,853 | 0.42 |
It is unlikely that Julius is a swan. It is almost certain that Daniel left the milk. It is certain that Lily is white.
|
There is a very good chance that either 'Daniel left the milk' or 'Lily is white' but not both.
|
It is highly unlikely that either 'Daniel left the milk' or 'Lily is white' but not both.
|
There is a very good chance that either 'Daniel left the milk' or 'Lily is white' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.95::factB.
1.0::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
highly unlikely
|
very good chance
|
Either 'Daniel left the milk' or 'Lily is white' but not both.
| 0valid
| 3,854 | 0.05 |
Chances are slight that Sandra took the milk. It is almost certain that Fred is in the school. It is unlikely that John went to the garden.
|
We doubt that 'Fred is in the school and John went to the garden'.
|
We doubt that 'Fred is in the school and John went to the garden'.
|
It is almost certain that 'Fred is in the school and John went to the garden'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.95::factB.
0.2::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
|
we doubt
|
almost certain
|
'Fred is in the school and John went to the garden'.
| 1invalid
| 3,855 | 0.19 |
We believe that Greg is a frog. It is probably not the case that Mary went to the office. It is improbable that Lily is gray.
|
It is probably not the case that 'Mary went to the office' or 'Lily is gray' or both.
|
It is probably not the case that 'Mary went to the office' or 'Lily is gray' or both.
|
It is highly likely that 'Mary went to the office' or 'Lily is gray' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.75::factA.
0.25::factB.
0.1::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
|
probably not
|
highly likely
|
'Mary went to the office' or 'Lily is gray' or both.
| 1invalid
| 3,856 | 0.325 |
It is unlikely that Brian is a lion. It is almost certain that Bernhard is yellow. It is impossible that Mary moved to the office.
|
It is almost certain that 'Bernhard is yellow' or 'Brian is a lion' or both.
|
It is almost certain that 'Bernhard is yellow' or 'Brian is a lion' or both.
|
It is improbable that 'Bernhard is yellow' or 'Brian is a lion' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.95::factB.
0.0::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
|
almost certain
|
improbable
|
'Bernhard is yellow' or 'Brian is a lion' or both.
| 1invalid
| 3,857 | 0.96 |
There is a better than even chance that John went to the garden. It is probable that Sandra left the milk. It is highly likely that Greg is a lion.
|
Chances are about even that either 'Greg is a lion' or 'John went to the garden' but not both.
|
Chances are about even that either 'Greg is a lion' or 'John went to the garden' but not both.
|
It is highly unlikely that either 'Greg is a lion' or 'John went to the garden' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.6::factA.
0.7::factB.
0.9::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
|
about even
|
highly unlikely
|
Either 'Greg is a lion' or 'John went to the garden' but not both.
| 1invalid
| 3,858 | 0.42 |
We doubt that Julius is a rhino. It is almost certain that Daniel got the milk. It is likely that Bernhard is green.
|
There is little chance that 'Julius is a rhino and Bernhard is green'.
|
There is little chance that 'Julius is a rhino and Bernhard is green'.
|
It is likely that 'Julius is a rhino and Bernhard is green'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.95::factB.
0.7::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
|
little chance
|
likely
|
'Julius is a rhino and Bernhard is green'.
| 1invalid
| 3,859 | 0.14 |
It is almost certain that Julius is a lion. It is likely that John dropped the apple. It is probably the case that Brian is a rhino.
|
It is likely that 'Brian is a rhino and Julius is a lion'.
|
It is likely that 'Brian is a rhino and Julius is a lion'.
|
It is unlikely that 'Brian is a rhino and Julius is a lion'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.95::factA.
0.7::factB.
0.7::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
|
likely
|
unlikely
|
'Brian is a rhino and Julius is a lion'.
| 1invalid
| 3,860 | 0.665 |
We doubt that Greg is a swan. Chances are slight that John took the football. It is likely that Bernhard is a frog.
|
We believe that 'Greg is a swan and John took the football'.
|
There is almost no chance that 'Greg is a swan and John took the football'.
|
We believe that 'Greg is a swan and John took the football'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.1::factB.
0.7::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
|
almost no chance
|
we believe
|
'Greg is a swan and John took the football'.
| 0valid
| 3,861 | 0.02 |
We doubt that John put down the milk. It is unlikely that Lily is a rhino. Chances are about even that Bernhard is a frog.
|
It is improbable that 'Lily is a rhino and Bernhard is a frog'.
|
It is improbable that 'Lily is a rhino and Bernhard is a frog'.
|
It is probable that 'Lily is a rhino and Bernhard is a frog'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.2::factB.
0.5::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
|
improbable
|
probable
|
'Lily is a rhino and Bernhard is a frog'.
| 1invalid
| 3,862 | 0.1 |
It is likely that Brian is a frog. It is probably the case that Lily is a rhino. There is little chance that Bernhard is a rhino.
|
It is almost certain that either 'Lily is a rhino' or 'Brian is a frog' but not both.
|
Chances are about even that either 'Lily is a rhino' or 'Brian is a frog' but not both.
|
It is almost certain that either 'Lily is a rhino' or 'Brian is a frog' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
|
about even
|
almost certain
|
Either 'Lily is a rhino' or 'Brian is a frog' but not both.
| 0valid
| 3,863 | 0.42 |
Chances are slight that Julius is gray. It is certain that Lily is a swan. We believe that Mary went to the office.
|
We doubt that either 'Julius is gray' or 'Mary went to the office' but not both.
|
It is probable that either 'Julius is gray' or 'Mary went to the office' but not both.
|
We doubt that either 'Julius is gray' or 'Mary went to the office' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
1.0::factB.
0.75::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
|
probable
|
we doubt
|
Either 'Julius is gray' or 'Mary went to the office' but not both.
| 0valid
| 3,864 | 0.7 |
It is impossible that John moved to the garden. It is probably not the case that Greg is a rhino. It is probably not the case that Julius is a swan.
|
Chances are about even that either 'Greg is a rhino' or 'Julius is a swan' but not both.
|
Chances are about even that either 'Greg is a rhino' or 'Julius is a swan' but not both.
|
It is almost certain that either 'Greg is a rhino' or 'Julius is a swan' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.0::factA.
0.25::factB.
0.25::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
about even
|
almost certain
|
Either 'Greg is a rhino' or 'Julius is a swan' but not both.
| 1invalid
| 3,865 | 0.375 |
It is probable that Jeff went to the bedroom. There is a better than even chance that Mary dropped the milk. There is little chance that John got the apple.
|
It is highly unlikely that 'Mary dropped the milk and John got the apple'.
|
It is highly unlikely that 'Mary dropped the milk and John got the apple'.
|
We believe that 'Mary dropped the milk and John got the apple'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.6::factB.
0.1::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
|
highly unlikely
|
we believe
|
'Mary dropped the milk and John got the apple'.
| 1invalid
| 3,866 | 0.06 |
It is impossible that Brian is green. We believe that John left the milk. There is a very good chance that Lily is a swan.
|
It is almost certain that 'John left the milk' or 'Lily is a swan' or both.
|
It is almost certain that 'John left the milk' or 'Lily is a swan' or both.
|
It is impossible that 'John left the milk' or 'Lily is a swan' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.0::factA.
0.75::factB.
0.8::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
|
almost certain
|
impossible
|
'John left the milk' or 'Lily is a swan' or both.
| 1invalid
| 3,867 | 0.95 |
There is almost no chance that Bernhard is a swan. We doubt that Mary moved to the office. Chances are about even that John dropped the milk.
|
It is likely that either 'Mary moved to the office' or 'Bernhard is a swan' but not both.
|
It is unlikely that either 'Mary moved to the office' or 'Bernhard is a swan' but not both.
|
It is likely that either 'Mary moved to the office' or 'Bernhard is a swan' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.02::factA.
0.2::factB.
0.5::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
|
unlikely
|
likely
|
Either 'Mary moved to the office' or 'Bernhard is a swan' but not both.
| 0valid
| 3,868 | 0.212 |
It is likely that Jessica is a cat. It is unlikely that John picked up the apple. It is certain that Bill moved to the office.
|
We believe that 'Jessica is a cat' or 'John picked up the apple' or both.
|
We believe that 'Jessica is a cat' or 'John picked up the apple' or both.
|
It is improbable that 'Jessica is a cat' or 'John picked up the apple' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.2::factB.
1.0::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
we believe
|
improbable
|
'Jessica is a cat' or 'John picked up the apple' or both.
| 1invalid
| 3,869 | 0.76 |
It is probably not the case that Julius is a rhino. There is little chance that Lily is yellow. There is a better than even chance that Fred left the apple.
|
It is highly unlikely that 'Fred left the apple and Lily is yellow'.
|
It is highly unlikely that 'Fred left the apple and Lily is yellow'.
|
There is a very good chance that 'Fred left the apple and Lily is yellow'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.25::factA.
0.1::factB.
0.6::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
|
highly unlikely
|
very good chance
|
'Fred left the apple and Lily is yellow'.
| 1invalid
| 3,870 | 0.06 |
There is a very good chance that Bernhard is a swan. Chances are about even that Bill left the milk. It is unlikely that Mary moved to the garden.
|
There is almost no chance that either 'Bill left the milk' or 'Mary moved to the garden' but not both.
|
Chances are about even that either 'Bill left the milk' or 'Mary moved to the garden' but not both.
|
There is almost no chance that either 'Bill left the milk' or 'Mary moved to the garden' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.8::factA.
0.5::factB.
0.2::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
about even
|
almost no chance
|
Either 'Bill left the milk' or 'Mary moved to the garden' but not both.
| 0valid
| 3,871 | 0.5 |
It is improbable that Mary went to the bedroom. We doubt that Greg is a swan. There is a better than even chance that Bernhard is a rhino.
|
It is improbable that 'Bernhard is a rhino' or 'Mary went to the bedroom' or both.
|
There is a better than even chance that 'Bernhard is a rhino' or 'Mary went to the bedroom' or both.
|
It is improbable that 'Bernhard is a rhino' or 'Mary went to the bedroom' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.2::factB.
0.6::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
better than even
|
improbable
|
'Bernhard is a rhino' or 'Mary went to the bedroom' or both.
| 0valid
| 3,872 | 0.64 |
It is unlikely that Mary went to the bedroom. It is probably the case that Lily is green. It is unlikely that Bernhard is white.
|
We doubt that 'Mary went to the bedroom' or 'Lily is green' or both.
|
We believe that 'Mary went to the bedroom' or 'Lily is green' or both.
|
We doubt that 'Mary went to the bedroom' or 'Lily is green' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.7::factB.
0.2::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
we believe
|
we doubt
|
'Mary went to the bedroom' or 'Lily is green' or both.
| 0valid
| 3,873 | 0.76 |
It is likely that Lily is a swan. It is likely that Bernhard is a swan. It is impossible that John discarded the apple.
|
It is impossible that 'Bernhard is a swan and John discarded the apple'.
|
It is impossible that 'Bernhard is a swan and John discarded the apple'.
|
There is a better than even chance that 'Bernhard is a swan and John discarded the apple'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.7::factA.
0.7::factB.
0.0::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
|
impossible
|
better than even
|
'Bernhard is a swan and John discarded the apple'.
| 1invalid
| 3,874 | 0 |
It is impossible that Julius is a frog. It is likely that Mary went to the garden. Chances are about even that Bernhard is yellow.
|
Chances are about even that either 'Bernhard is yellow' or 'Julius is a frog' but not both.
|
Chances are about even that either 'Bernhard is yellow' or 'Julius is a frog' but not both.
|
It is impossible that either 'Bernhard is yellow' or 'Julius is a frog' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.0::factA.
0.7::factB.
0.5::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
|
about even
|
impossible
|
Either 'Bernhard is yellow' or 'Julius is a frog' but not both.
| 1invalid
| 3,875 | 0.5 |
Chances are about even that Lily is a frog. It is highly unlikely that John put down the milk. It is highly likely that Mary discarded the apple.
|
It is highly likely that either 'John put down the milk' or 'Mary discarded the apple' but not both.
|
It is highly likely that either 'John put down the milk' or 'Mary discarded the apple' but not both.
|
It is improbable that either 'John put down the milk' or 'Mary discarded the apple' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.5::factA.
0.05::factB.
0.9::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
highly likely
|
improbable
|
Either 'John put down the milk' or 'Mary discarded the apple' but not both.
| 1invalid
| 3,876 | 0.86 |
There is little chance that John put down the milk. There is almost no chance that Lily is white. It is impossible that Bernhard is a frog.
|
It is probably the case that 'John put down the milk' or 'Bernhard is a frog' or both.
|
Chances are slight that 'John put down the milk' or 'Bernhard is a frog' or both.
|
It is probably the case that 'John put down the milk' or 'Bernhard is a frog' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.02::factB.
0.0::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
|
chances are slight
|
probably
|
'John put down the milk' or 'Bernhard is a frog' or both.
| 0valid
| 3,877 | 0.1 |
There is almost no chance that Mary went to the bedroom. There is a better than even chance that Gertrude is a cat. It is probably not the case that Greg is gray.
|
There is a better than even chance that either 'Greg is gray' or 'Gertrude is a cat' but not both.
|
There is a better than even chance that either 'Greg is gray' or 'Gertrude is a cat' but not both.
|
It is impossible that either 'Greg is gray' or 'Gertrude is a cat' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.02::factA.
0.6::factB.
0.25::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
|
better than even
|
impossible
|
Either 'Greg is gray' or 'Gertrude is a cat' but not both.
| 1invalid
| 3,878 | 0.55 |
It is highly likely that John went to the garden. It is probable that Mary grabbed the milk. There is almost no chance that Julius is a frog.
|
It is highly likely that either 'John went to the garden' or 'Julius is a frog' but not both.
|
It is highly likely that either 'John went to the garden' or 'Julius is a frog' but not both.
|
It is probably not the case that either 'John went to the garden' or 'Julius is a frog' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.9::factA.
0.7::factB.
0.02::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
|
highly likely
|
probably not
|
Either 'John went to the garden' or 'Julius is a frog' but not both.
| 1invalid
| 3,879 | 0.884 |
It is impossible that Bernhard is gray. It is probably not the case that Winona is a mouse. It is probably the case that Brian is a frog.
|
It is probably not the case that 'Winona is a mouse' or 'Bernhard is gray' or both.
|
It is probably not the case that 'Winona is a mouse' or 'Bernhard is gray' or both.
|
We believe that 'Winona is a mouse' or 'Bernhard is gray' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.0::factA.
0.25::factB.
0.7::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
|
probably not
|
we believe
|
'Winona is a mouse' or 'Bernhard is gray' or both.
| 1invalid
| 3,880 | 0.25 |
It is certain that Brian is a rhino. It is probably not the case that Yann is tired. There is almost no chance that Bernhard is a swan.
|
It is probably not the case that either 'Bernhard is a swan' or 'Yann is tired' but not both.
|
It is probably not the case that either 'Bernhard is a swan' or 'Yann is tired' but not both.
|
It is probable that either 'Bernhard is a swan' or 'Yann is tired' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
1.0::factA.
0.25::factB.
0.02::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
|
probably not
|
probable
|
Either 'Bernhard is a swan' or 'Yann is tired' but not both.
| 1invalid
| 3,881 | 0.26 |
Chances are slight that Lily is a swan. Chances are slight that Jeff discarded the milk. It is likely that Brian is yellow.
|
It is likely that either 'Jeff discarded the milk' or 'Brian is yellow' but not both.
|
It is likely that either 'Jeff discarded the milk' or 'Brian is yellow' but not both.
|
Chances are slight that either 'Jeff discarded the milk' or 'Brian is yellow' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.1::factB.
0.7::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
likely
|
chances are slight
|
Either 'Jeff discarded the milk' or 'Brian is yellow' but not both.
| 1invalid
| 3,882 | 0.66 |
It is unlikely that Brian is white. There is a very good chance that John took the football. It is certain that Julius is gray.
|
It is highly likely that either 'John took the football' or 'Julius is gray' but not both.
|
We doubt that either 'John took the football' or 'Julius is gray' but not both.
|
It is highly likely that either 'John took the football' or 'Julius is gray' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.8::factB.
1.0::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
|
we doubt
|
highly likely
|
Either 'John took the football' or 'Julius is gray' but not both.
| 0valid
| 3,883 | 0.2 |
It is impossible that John went to the bedroom. There is a better than even chance that Mary got the milk. It is likely that Greg is a lion.
|
It is impossible that 'Greg is a lion' or 'John went to the bedroom' or both.
|
It is likely that 'Greg is a lion' or 'John went to the bedroom' or both.
|
It is impossible that 'Greg is a lion' or 'John went to the bedroom' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.0::factA.
0.6::factB.
0.7::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
likely
|
impossible
|
'Greg is a lion' or 'John went to the bedroom' or both.
| 0valid
| 3,884 | 0.7 |
It is almost certain that Greg is a rhino. There is little chance that John went to the garden. There is little chance that Mary put down the milk.
|
There is a very good chance that 'Mary put down the milk and Greg is a rhino'.
|
It is improbable that 'Mary put down the milk and Greg is a rhino'.
|
There is a very good chance that 'Mary put down the milk and Greg is a rhino'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.95::factA.
0.1::factB.
0.1::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
|
improbable
|
very good chance
|
'Mary put down the milk and Greg is a rhino'.
| 0valid
| 3,885 | 0.095 |
It is almost certain that Mary went to the garden. It is likely that Brian is white. There is a better than even chance that Jessica is a cat.
|
Chances are about even that either 'Mary went to the garden' or 'Jessica is a cat' but not both.
|
Chances are about even that either 'Mary went to the garden' or 'Jessica is a cat' but not both.
|
It is almost certain that either 'Mary went to the garden' or 'Jessica is a cat' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.95::factA.
0.7::factB.
0.6::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
|
about even
|
almost certain
|
Either 'Mary went to the garden' or 'Jessica is a cat' but not both.
| 1invalid
| 3,886 | 0.41 |
It is improbable that Daniel took the milk. It is probably not the case that Bernhard is yellow. It is certain that Brian is a frog.
|
There is a better than even chance that 'Daniel took the milk and Brian is a frog'.
|
Chances are slight that 'Daniel took the milk and Brian is a frog'.
|
There is a better than even chance that 'Daniel took the milk and Brian is a frog'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.25::factB.
1.0::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
|
chances are slight
|
better than even
|
'Daniel took the milk and Brian is a frog'.
| 0valid
| 3,887 | 0.1 |
It is unlikely that Antoine is bored. Chances are slight that Bernhard is a frog. There is little chance that Jeff left the apple.
|
It is certain that 'Jeff left the apple' or 'Bernhard is a frog' or both.
|
It is unlikely that 'Jeff left the apple' or 'Bernhard is a frog' or both.
|
It is certain that 'Jeff left the apple' or 'Bernhard is a frog' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.1::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
|
unlikely
|
certain
|
'Jeff left the apple' or 'Bernhard is a frog' or both.
| 0valid
| 3,888 | 0.19 |
We doubt that Daniel got the football. It is highly likely that John dropped the apple. It is probably the case that Emily is a sheep.
|
It is highly unlikely that either 'Emily is a sheep' or 'Daniel got the football' but not both.
|
There is a better than even chance that either 'Emily is a sheep' or 'Daniel got the football' but not both.
|
It is highly unlikely that either 'Emily is a sheep' or 'Daniel got the football' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.2::factA.
0.9::factB.
0.7::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
|
better than even
|
highly unlikely
|
Either 'Emily is a sheep' or 'Daniel got the football' but not both.
| 0valid
| 3,889 | 0.62 |
There is little chance that Mary moved to the office. It is certain that Lily is white. There is almost no chance that Greg is green.
|
Chances are slight that 'Greg is green' or 'Mary moved to the office' or both.
|
Chances are slight that 'Greg is green' or 'Mary moved to the office' or both.
|
It is highly likely that 'Greg is green' or 'Mary moved to the office' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
1.0::factB.
0.02::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
chances are slight
|
highly likely
|
'Greg is green' or 'Mary moved to the office' or both.
| 1invalid
| 3,890 | 0.118 |
It is impossible that Fred is in the cinema. There is a very good chance that Lily is a rhino. Chances are about even that Bernhard is yellow.
|
There is a better than even chance that 'Fred is in the cinema and Bernhard is yellow'.
|
It is impossible that 'Fred is in the cinema and Bernhard is yellow'.
|
There is a better than even chance that 'Fred is in the cinema and Bernhard is yellow'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.0::factA.
0.8::factB.
0.5::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
|
impossible
|
better than even
|
'Fred is in the cinema and Bernhard is yellow'.
| 0valid
| 3,891 | 0 |
It is certain that Brian is yellow. There is little chance that John got the apple. There is almost no chance that Bernhard is white.
|
It is impossible that 'John got the apple and Bernhard is white'.
|
It is impossible that 'John got the apple and Bernhard is white'.
|
There is a better than even chance that 'John got the apple and Bernhard is white'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
1.0::factA.
0.1::factB.
0.02::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
|
impossible
|
better than even
|
'John got the apple and Bernhard is white'.
| 1invalid
| 3,892 | 0.002 |
It is improbable that Julius is a swan. It is almost certain that Lily is a lion. There is little chance that Mary got the apple.
|
It is highly unlikely that either 'Lily is a lion' or 'Julius is a swan' but not both.
|
It is highly likely that either 'Lily is a lion' or 'Julius is a swan' but not both.
|
It is highly unlikely that either 'Lily is a lion' or 'Julius is a swan' but not both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.95::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
|
highly likely
|
highly unlikely
|
Either 'Lily is a lion' or 'Julius is a swan' but not both.
| 0valid
| 3,893 | 0.86 |
It is highly likely that Fred is in the school. It is certain that Bernhard is yellow. It is probable that Mary dropped the milk.
|
It is improbable that 'Mary dropped the milk' or 'Fred is in the school' or both.
|
It is almost certain that 'Mary dropped the milk' or 'Fred is in the school' or both.
|
It is improbable that 'Mary dropped the milk' or 'Fred is in the school' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.9::factA.
1.0::factB.
0.7::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
|
almost certain
|
improbable
|
'Mary dropped the milk' or 'Fred is in the school' or both.
| 0valid
| 3,894 | 0.97 |
It is highly unlikely that Mary went to the kitchen. We doubt that Jeff discarded the milk. It is improbable that John put down the apple.
|
There is almost no chance that 'John put down the apple and Jeff discarded the milk'.
|
There is almost no chance that 'John put down the apple and Jeff discarded the milk'.
|
It is almost certain that 'John put down the apple and Jeff discarded the milk'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.05::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
|
almost no chance
|
almost certain
|
'John put down the apple and Jeff discarded the milk'.
| 1invalid
| 3,895 | 0.02 |
Chances are slight that John went to the kitchen. Chances are slight that Gertrude is a sheep. It is probably not the case that Jessica is a mouse.
|
There is almost no chance that 'Gertrude is a sheep and John went to the kitchen'.
|
There is almost no chance that 'Gertrude is a sheep and John went to the kitchen'.
|
It is likely that 'Gertrude is a sheep and John went to the kitchen'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.1::factA.
0.1::factB.
0.25::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
|
almost no chance
|
likely
|
'Gertrude is a sheep and John went to the kitchen'.
| 1invalid
| 3,896 | 0.01 |
Chances are about even that John went to the garden. Chances are about even that Brian is yellow. It is almost certain that Mary got the football.
|
Chances are about even that 'Mary got the football and John went to the garden'.
|
Chances are about even that 'Mary got the football and John went to the garden'.
|
It is highly unlikely that 'Mary got the football and John went to the garden'.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.5::factA.
0.5::factB.
0.95::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
|
about even
|
highly unlikely
|
'Mary got the football and John went to the garden'.
| 1invalid
| 3,897 | 0.475 |
There is almost no chance that Mary discarded the milk. There is a very good chance that Lily is yellow. There is little chance that Bernhard is a frog.
|
It is unlikely that 'Lily is yellow' or 'Mary discarded the milk' or both.
|
There is a very good chance that 'Lily is yellow' or 'Mary discarded the milk' or both.
|
It is unlikely that 'Lily is yellow' or 'Mary discarded the milk' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.02::factA.
0.8::factB.
0.1::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
|
very good chance
|
unlikely
|
'Lily is yellow' or 'Mary discarded the milk' or both.
| 0valid
| 3,898 | 0.804 |
There is almost no chance that Daniel left the football. We doubt that John went to the office. There is a very good chance that Jessica is a cat.
|
It is probable that 'Daniel left the football' or 'John went to the office' or both.
|
It is unlikely that 'Daniel left the football' or 'John went to the office' or both.
|
It is probable that 'Daniel left the football' or 'John went to the office' or both.
|
and(A,B) :- A,B.
or(A,B) :- A;B.
nand(A,B) :- not(and(A,B)).
nor(A,B) :- not(or(A,B)).
xor(A,B) :- or(A,B), nand(A,B).
%hop0
0.02::factA.
0.2::factB.
0.8::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
|
unlikely
|
probable
|
'Daniel left the football' or 'John went to the office' or both.
| 0valid
| 3,899 | 0.216 |
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