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 impossible that John discarded the apple. It is certain that Greg is a frog. There is a better than even chance that Brian is yellow. | It is improbable that 'Brian is yellow' or 'John discarded the apple' or both. | There is a better than even chance that 'Brian is yellow' or 'John discarded the apple' or both. | It is improbable that 'Brian is yellow' or 'John discarded 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
0.0::factA.
1.0::factB.
0.6::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| better than even | improbable | 'Brian is yellow' or 'John discarded the apple' or both. | 0valid
| 3,900 | 0.6 |
There is a very good chance that Daniel left the milk. We doubt that Greg is yellow. There is a better than even chance that Lily is white. | It is highly unlikely that 'Greg is yellow' or 'Lily is white' or both. | It is probable that 'Greg is yellow' or 'Lily is white' or both. | It is highly unlikely that 'Greg is yellow' or 'Lily 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
0.8::factA.
0.2::factB.
0.6::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| probable | highly unlikely | 'Greg is yellow' or 'Lily is white' or both. | 0valid
| 3,901 | 0.68 |
It is improbable that Winona is a mouse. It is likely that Greg is yellow. It is certain that Mary took the football. | It is probably not the case that 'Greg is yellow' or 'Winona is a mouse' or both. | We believe that 'Greg is yellow' or 'Winona is a mouse' or both. | It is probably not the case that 'Greg is yellow' or 'Winona 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
0.1::factA.
0.7::factB.
1.0::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| we believe | probably not | 'Greg is yellow' or 'Winona is a mouse' or both. | 0valid
| 3,902 | 0.73 |
It is probable that Mary dropped the apple. There is a very good chance that Lily is yellow. We believe that John took the football. | It is highly unlikely that 'Lily is yellow and John took the football'. | There is a better than even chance that 'Lily is yellow and John took the football'. | It is highly unlikely that 'Lily is yellow 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
0.7::factA.
0.8::factB.
0.75::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| better than even | highly unlikely | 'Lily is yellow and John took the football'. | 0valid
| 3,903 | 0.6 |
It is improbable that Bernhard is a swan. It is impossible that Brian is green. It is improbable that John left the apple. | It is certain that 'Brian is green' or 'John left the apple' or both. | It is improbable that 'Brian is green' or 'John left the apple' or both. | It is certain that 'Brian is green' or 'John left 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
0.1::factA.
0.0::factB.
0.1::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| improbable | certain | 'Brian is green' or 'John left the apple' or both. | 0valid
| 3,904 | 0.1 |
We believe that Brian is a lion. We doubt that Emily is a cat. It is impossible that Daniel grabbed the milk. | There is a very good chance that 'Brian is a lion and Emily is a cat'. | There is little chance that 'Brian is a lion and Emily is a cat'. | There is a very good chance that 'Brian is a lion and Emily 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
0.75::factA.
0.2::factB.
0.0::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| little chance | very good chance | 'Brian is a lion and Emily is a cat'. | 0valid
| 3,905 | 0.15 |
There is a very good chance that Gertrude is a sheep. It is unlikely that Greg is yellow. It is probable that John grabbed the apple. | It is almost certain that 'Gertrude is a sheep' or 'John grabbed the apple' or both. | It is almost certain that 'Gertrude is a sheep' or 'John grabbed the apple' or both. | Chances are about even that 'Gertrude is a sheep' or 'John grabbed 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
0.8::factA.
0.2::factB.
0.7::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| almost certain | about even | 'Gertrude is a sheep' or 'John grabbed the apple' or both. | 1invalid
| 3,906 | 0.94 |
It is likely that Winona is a sheep. There is little chance that Sandra dropped the milk. It is impossible that Julius is a frog. | There is a better than even chance that 'Sandra dropped the milk' or 'Julius is a frog' or both. | Chances are slight that 'Sandra dropped the milk' or 'Julius is a frog' or both. | There is a better than even chance that 'Sandra dropped the milk' 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.
0.1::factB.
0.0::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| chances are slight | better than even | 'Sandra dropped the milk' or 'Julius is a frog' or both. | 0valid
| 3,907 | 0.1 |
There is little chance that Sandra got the football. It is probable that Lily is a frog. There is almost no chance that Greg is a lion. | It is improbable that either 'Sandra got the football' or 'Greg is a lion' but not both. | It is improbable that either 'Sandra got the football' or 'Greg is a lion' but not both. | It is almost certain that either 'Sandra got the football' or 'Greg is a lion' 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.
0.7::factB.
0.02::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| improbable | almost certain | Either 'Sandra got the football' or 'Greg is a lion' but not both. | 1invalid
| 3,908 | 0.116 |
Chances are slight that John got the apple. Chances are slight that Brian is green. It is highly likely that Jessica is a sheep. | It is highly unlikely that 'John got the apple' or 'Jessica is a sheep' or both. | It is highly likely that 'John got the apple' or 'Jessica is a sheep' or both. | It is highly unlikely that 'John got the apple' or 'Jessica is a sheep' 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.
0.1::factB.
0.9::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| highly likely | highly unlikely | 'John got the apple' or 'Jessica is a sheep' or both. | 0valid
| 3,909 | 0.91 |
There is almost no chance that Brian is green. Chances are about even that John went to the hallway. It is almost certain that Greg is yellow. | There is almost no chance that 'Brian is green and John went to the hallway'. | There is almost no chance that 'Brian is green and John went to the hallway'. | There is a better than even chance that 'Brian is green and John went to the hallway'. |
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.
0.5::factB.
0.95::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| almost no chance | better than even | 'Brian is green and John went to the hallway'. | 1invalid
| 3,910 | 0.01 |
There is a very good chance that Bernhard is a swan. It is highly unlikely that Brian is green. It is improbable that Gertrude is a wolf. | It is impossible that 'Brian is green and Gertrude is a wolf'. | It is impossible that 'Brian is green and Gertrude is a wolf'. | Chances are about even that 'Brian is green and Gertrude is a wolf'. |
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.
0.1::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| impossible | about even | 'Brian is green and Gertrude is a wolf'. | 1invalid
| 3,911 | 0.005 |
It is probably not the case that Brian is green. We believe that Mary left the milk. It is unlikely that Bernhard is a frog. | There is a very good chance that 'Brian is green' or 'Mary left the milk' or both. | There is a very good chance that 'Brian is green' or 'Mary left the milk' or both. | It is highly unlikely that 'Brian is green' 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
0.25::factA.
0.75::factB.
0.2::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| very good chance | highly unlikely | 'Brian is green' or 'Mary left the milk' or both. | 1invalid
| 3,912 | 0.8125 |
It is certain that John took the football. There is almost no chance that Greg is gray. There is a better than even chance that Sandra left the milk. | There is almost no chance that either 'Greg is gray' or 'John took the football' but not both. | It is certain that either 'Greg is gray' or 'John took the football' but not both. | There is almost no chance that either 'Greg is gray' or 'John took 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
1.0::factA.
0.02::factB.
0.6::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| certain | almost no chance | Either 'Greg is gray' or 'John took the football' but not both. | 0valid
| 3,913 | 0.98 |
It is certain that Bernhard is green. It is improbable that Lily is a swan. It is probably not the case that Mary went to the bedroom. | We believe that either 'Mary went to the bedroom' or 'Lily is a swan' but not both. | It is probably not the case that either 'Mary went to the bedroom' or 'Lily is a swan' but not both. | We believe that either 'Mary went to the bedroom' or 'Lily 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
1.0::factA.
0.1::factB.
0.25::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| probably not | we believe | Either 'Mary went to the bedroom' or 'Lily is a swan' but not both. | 0valid
| 3,914 | 0.3 |
There is almost no chance that Daniel took the apple. It is unlikely that Julius is white. We believe that Bernhard is a swan. | There is a very good chance that 'Bernhard is a swan' or 'Julius is white' or both. | There is a very good chance that 'Bernhard is a swan' or 'Julius is white' or both. | It is probably not the case that 'Bernhard is a swan' 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
0.02::factA.
0.2::factB.
0.75::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| very good chance | probably not | 'Bernhard is a swan' or 'Julius is white' or both. | 1invalid
| 3,915 | 0.8 |
There is a very good chance that Julius is white. We believe that John went to the garden. It is improbable that Greg is yellow. | There is a very good chance that 'Greg is yellow' or 'John went to the garden' or both. | There is a very good chance that 'Greg is yellow' or 'John went to the garden' or both. | There is little chance that 'Greg is yellow' 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
0.8::factA.
0.75::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| very good chance | little chance | 'Greg is yellow' or 'John went to the garden' or both. | 1invalid
| 3,916 | 0.775 |
It is impossible that Julius is a lion. It is probably not the case that Greg is a swan. It is likely that Daniel left the milk. | It is probably the case that 'Greg is a swan and Daniel left the milk'. | It is unlikely that 'Greg is a swan and Daniel left the milk'. | It is probably the case that 'Greg is a swan and Daniel 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
0.0::factA.
0.25::factB.
0.7::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| unlikely | probably | 'Greg is a swan and Daniel left the milk'. | 0valid
| 3,917 | 0.175 |
There is a very good chance that Bernhard is gray. Chances are slight that Sandra is in the kitchen. There is almost no chance that Mary left the football. | Chances are slight that 'Sandra is in the kitchen' or 'Mary left the football' or both. | Chances are slight that 'Sandra is in the kitchen' or 'Mary left the football' or both. | It is almost certain that 'Sandra is in the kitchen' or 'Mary left the football' 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.
0.1::factB.
0.02::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| chances are slight | almost certain | 'Sandra is in the kitchen' or 'Mary left the football' or both. | 1invalid
| 3,918 | 0.118 |
There is little chance that Julius is a swan. It is likely that Fred dropped the apple. It is almost certain that Brian is yellow. | Chances are slight that 'Julius is a swan' or 'Brian is yellow' or both. | It is almost certain that 'Julius is a swan' or 'Brian is yellow' or both. | Chances are slight that 'Julius is a swan' or 'Brian is yellow' 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.
0.95::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| almost certain | chances are slight | 'Julius is a swan' or 'Brian is yellow' or both. | 0valid
| 3,919 | 0.955 |
It is improbable that Brian is yellow. It is highly likely that Lily is green. It is impossible that Sandra left the milk. | It is highly likely that 'Lily is green' or 'Sandra left the milk' or both. | It is highly likely that 'Lily is green' or 'Sandra left the milk' or both. | Chances are slight that 'Lily is green' or 'Sandra 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
0.1::factA.
0.9::factB.
0.0::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| highly likely | chances are slight | 'Lily is green' or 'Sandra left the milk' or both. | 1invalid
| 3,920 | 0.9 |
We believe that John dropped the apple. There is a better than even chance that Greg is a rhino. There is a very good chance that Bernhard is white. | There is almost no chance that 'Greg is a rhino' or 'John dropped the apple' or both. | It is highly likely that 'Greg is a rhino' or 'John dropped the apple' or both. | There is almost no chance that 'Greg is a rhino' or 'John dropped 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
0.75::factA.
0.6::factB.
0.8::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| highly likely | almost no chance | 'Greg is a rhino' or 'John dropped the apple' or both. | 0valid
| 3,921 | 0.9 |
Chances are about even that Sandra took the football. There is almost no chance that Brian is yellow. It is unlikely that Mary left the apple. | We doubt that either 'Mary left the apple' or 'Brian is yellow' but not both. | We doubt that either 'Mary left the apple' or 'Brian is yellow' but not both. | It is likely that either 'Mary left the apple' 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
0.5::factA.
0.02::factB.
0.2::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| we doubt | likely | Either 'Mary left the apple' or 'Brian is yellow' but not both. | 1invalid
| 3,922 | 0.212 |
Chances are about even that Brian is a lion. It is probable that Sandra got the milk. It is unlikely that Mary went to the office. | We believe that 'Sandra got the milk and Mary went to the office'. | Chances are slight that 'Sandra got the milk and Mary went to the office'. | We believe that 'Sandra got the milk and Mary went to the office'. |
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.
0.7::factB.
0.2::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| chances are slight | we believe | 'Sandra got the milk and Mary went to the office'. | 0valid
| 3,923 | 0.14 |
It is probably not the case that Lily is yellow. It is improbable that Bernhard is a frog. It is likely that Brian is a rhino. | There is almost no chance that 'Bernhard is a frog and Lily is yellow'. | There is almost no chance that 'Bernhard is a frog and Lily is yellow'. | It is likely that 'Bernhard is a frog 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.
0.7::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| almost no chance | likely | 'Bernhard is a frog and Lily is yellow'. | 1invalid
| 3,924 | 0.025 |
It is likely that Greg is a rhino. There is a very good chance that Bernhard is a swan. It is probably the case that Mary took the milk. | There is a better than even chance that 'Bernhard is a swan and Greg is a rhino'. | There is a better than even chance that 'Bernhard is a swan and Greg is a rhino'. | It is improbable that 'Bernhard is a swan 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
0.7::factA.
0.8::factB.
0.7::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| better than even | improbable | 'Bernhard is a swan and Greg is a rhino'. | 1invalid
| 3,925 | 0.56 |
It is probably the case that John moved to the office. It is probable that Mary left the football. It is unlikely that Jessica is a mouse. | It is almost certain that 'Jessica is a mouse and Mary left the football'. | There is little chance that 'Jessica is a mouse and Mary left the football'. | It is almost certain that 'Jessica is a mouse and Mary left 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
0.7::factA.
0.7::factB.
0.2::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| little chance | almost certain | 'Jessica is a mouse and Mary left the football'. | 0valid
| 3,926 | 0.14 |
It is probably not the case that Lily is a frog. It is probably the case that Sandra dropped the apple. There is little chance that Julius is green. | It is improbable that either 'Lily is a frog' or 'Sandra dropped the apple' but not both. | There is a better than even chance that either 'Lily is a frog' or 'Sandra dropped the apple' but not both. | It is improbable that either 'Lily is a frog' or 'Sandra dropped 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
0.25::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| better than even | improbable | Either 'Lily is a frog' or 'Sandra dropped the apple' but not both. | 0valid
| 3,927 | 0.6 |
We doubt that Mary dropped the apple. Chances are slight that John went to the garden. It is likely that Jeff left the apple. | We believe that 'Mary dropped the apple' or 'Jeff left the apple' or both. | We believe that 'Mary dropped the apple' or 'Jeff left the apple' or both. | It is probably not the case that 'Mary dropped the apple' or 'Jeff left 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
0.2::factA.
0.1::factB.
0.7::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| we believe | probably not | 'Mary dropped the apple' or 'Jeff left the apple' or both. | 1invalid
| 3,928 | 0.76 |
It is unlikely that Daniel took the milk. We believe that John moved to the garden. It is almost certain that Greg is a frog. | We doubt that either 'John moved to the garden' or 'Daniel took the milk' but not both. | It is probable that either 'John moved to the garden' or 'Daniel took the milk' but not both. | We doubt that either 'John moved to the garden' or 'Daniel 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
0.2::factA.
0.75::factB.
0.95::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| probable | we doubt | Either 'John moved to the garden' or 'Daniel took the milk' but not both. | 0valid
| 3,929 | 0.65 |
There is a very good chance that Bernhard is a frog. It is highly unlikely that Daniel got the football. It is likely that Lily is a lion. | We believe that 'Daniel got the football and Bernhard is a frog'. | It is highly unlikely that 'Daniel got the football and Bernhard is a frog'. | We believe that 'Daniel got the football 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
0.8::factA.
0.05::factB.
0.7::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| highly unlikely | we believe | 'Daniel got the football and Bernhard is a frog'. | 0valid
| 3,930 | 0.04 |
Chances are slight that Mary left the milk. It is certain that Bernhard is a frog. It is probably the case that John went to the garden. | It is certain that 'Mary left the milk' or 'Bernhard is a frog' or both. | It is certain that 'Mary left the milk' or 'Bernhard is a frog' or both. | Chances are slight that 'Mary left 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.
1.0::factB.
0.7::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| certain | chances are slight | 'Mary left the milk' or 'Bernhard is a frog' or both. | 1invalid
| 3,931 | 1 |
There is little chance that Bernhard is yellow. Chances are about even that Mary moved to the garden. It is likely that Jeff discarded the milk. | Chances are about even that either 'Bernhard is yellow' or 'Mary moved to the garden' but not both. | Chances are about even that either 'Bernhard is yellow' or 'Mary moved to the garden' but not both. | There is almost no chance that either 'Bernhard is yellow' 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
0.1::factA.
0.5::factB.
0.7::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| about even | almost no chance | Either 'Bernhard is yellow' or 'Mary moved to the garden' but not both. | 1invalid
| 3,932 | 0.5 |
We doubt that John went to the garden. It is likely that Sumit is bored. Chances are slight that Julius is white. | It is impossible that either 'Julius is white' or 'Sumit is bored' but not both. | It is probably the case that either 'Julius is white' or 'Sumit is bored' but not both. | It is impossible that either 'Julius is white' or 'Sumit is bored' 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.
0.7::factB.
0.1::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| probably | impossible | Either 'Julius is white' or 'Sumit is bored' but not both. | 0valid
| 3,933 | 0.66 |
It is improbable that Greg is a rhino. There is a better than even chance that Julius is a lion. We believe that Mary left the football. | It is almost certain that 'Julius is a lion and Greg is a rhino'. | It is highly unlikely that 'Julius is a lion and Greg is a rhino'. | It is almost certain that 'Julius is a lion 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
0.1::factA.
0.6::factB.
0.75::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| highly unlikely | almost certain | 'Julius is a lion and Greg is a rhino'. | 0valid
| 3,934 | 0.06 |
We doubt that Fred moved to the office. It is probable that Brian is a frog. It is highly likely that Greg is a lion. | Chances are slight that 'Brian is a frog' or 'Fred moved to the office' or both. | We believe that 'Brian is a frog' or 'Fred moved to the office' or both. | Chances are slight that 'Brian is a frog' or 'Fred 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
0.2::factA.
0.7::factB.
0.9::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| we believe | chances are slight | 'Brian is a frog' or 'Fred moved to the office' or both. | 0valid
| 3,935 | 0.76 |
Chances are slight that Mary went to the hallway. We believe that Winona is a cat. There is a very good chance that Greg is a lion. | It is probably not the case that either 'Greg is a lion' or 'Winona is a cat' but not both. | It is probably not the case that either 'Greg is a lion' or 'Winona is a cat' but not both. | We believe that either 'Greg is a lion' or 'Winona 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
0.1::factA.
0.75::factB.
0.8::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| probably not | we believe | Either 'Greg is a lion' or 'Winona is a cat' but not both. | 1invalid
| 3,936 | 0.35 |
It is highly unlikely that Mary dropped the apple. It is certain that Fred put down the apple. Chances are slight that Brian is white. | It is certain that 'Mary dropped the apple' or 'Fred put down the apple' or both. | It is certain that 'Mary dropped the apple' or 'Fred put down the apple' or both. | It is unlikely that 'Mary dropped the apple' or 'Fred put down 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
0.05::factA.
1.0::factB.
0.1::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| certain | unlikely | 'Mary dropped the apple' or 'Fred put down the apple' or both. | 1invalid
| 3,937 | 1 |
It is almost certain that Winona is a wolf. It is probable that Bill went to the garden. There is a very good chance that Brian is white. | It is certain that 'Bill went to the garden' or 'Winona is a wolf' or both. | It is certain that 'Bill went to the garden' or 'Winona is a wolf' or both. | It is improbable that 'Bill went to the garden' or 'Winona is a wolf' 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.
0.7::factB.
0.8::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| certain | improbable | 'Bill went to the garden' or 'Winona is a wolf' or both. | 1invalid
| 3,938 | 0.985 |
It is highly likely that Greg is green. There is a better than even chance that Lily is a swan. There is a very good chance that Mary left the football. | It is probably the case that 'Greg is green and Mary left the football'. | It is probably the case that 'Greg is green and Mary left the football'. | It is improbable that 'Greg is green and Mary left 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
0.9::factA.
0.6::factB.
0.8::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| probably | improbable | 'Greg is green and Mary left the football'. | 1invalid
| 3,939 | 0.72 |
It is certain that Mary went to the kitchen. It is highly likely that John left the milk. It is almost certain that Greg is white. | There is almost no chance that 'Greg is white' or 'Mary went to the kitchen' or both. | It is certain that 'Greg is white' or 'Mary went to the kitchen' or both. | There is almost no chance that 'Greg is white' or 'Mary went to the kitchen' 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.
0.9::factB.
0.95::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| certain | almost no chance | 'Greg is white' or 'Mary went to the kitchen' or both. | 0valid
| 3,940 | 1 |
It is unlikely that Lily is a lion. It is highly unlikely that Brian is a rhino. It is probably not the case that Greg is a swan. | It is probable that either 'Brian is a rhino' or 'Lily is a lion' but not both. | It is probably not the case that either 'Brian is a rhino' or 'Lily is a lion' but not both. | It is probable that either 'Brian is a rhino' or 'Lily is a lion' 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.
0.05::factB.
0.25::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| probably not | probable | Either 'Brian is a rhino' or 'Lily is a lion' but not both. | 0valid
| 3,941 | 0.23 |
It is impossible that John went to the garden. It is highly unlikely that Julius is white. Chances are about even that Greg is a swan. | It is almost certain that either 'John went to the garden' or 'Greg is a swan' but not both. | Chances are about even that either 'John went to the garden' or 'Greg is a swan' but not both. | It is almost certain that either 'John went to the garden' or 'Greg 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.
0.05::factB.
0.5::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| about even | almost certain | Either 'John went to the garden' or 'Greg is a swan' but not both. | 0valid
| 3,942 | 0.5 |
It is highly unlikely that John picked up the milk. It is probably the case that Greg is a swan. Chances are about even that Sandra dropped the milk. | Chances are about even that either 'Greg is a swan' or 'Sandra dropped the milk' but not both. | Chances are about even that either 'Greg is a swan' or 'Sandra dropped the milk' but not both. | It is impossible that either 'Greg is a swan' or 'Sandra 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.
0.5::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| about even | impossible | Either 'Greg is a swan' or 'Sandra dropped the milk' but not both. | 1invalid
| 3,943 | 0.5 |
It is impossible that Mary picked up the milk. There is a better than even chance that Lily is gray. There is a very good chance that Brian is a swan. | There is a better than even chance that either 'Lily is gray' or 'Mary picked up the milk' but not both. | There is a better than even chance that either 'Lily is gray' or 'Mary picked up the milk' but not both. | It is highly unlikely that either 'Lily is gray' 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
0.0::factA.
0.6::factB.
0.8::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| better than even | highly unlikely | Either 'Lily is gray' or 'Mary picked up the milk' but not both. | 1invalid
| 3,944 | 0.6 |
It is impossible that Lily is a rhino. There is a better than even chance that John left the football. It is probably not the case that Bernhard is a frog. | It is highly likely that 'Lily is a rhino and John left the football'. | It is impossible that 'Lily is a rhino and John left the football'. | It is highly likely that 'Lily is a rhino and John left 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
0.0::factA.
0.6::factB.
0.25::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| impossible | highly likely | 'Lily is a rhino and John left the football'. | 0valid
| 3,945 | 0 |
It is likely that Brian is white. There is a better than even chance that Emily is a wolf. There is a very good chance that Jeff dropped the apple. | Chances are about even that 'Jeff dropped the apple' or 'Brian is white' or both. | It is almost certain that 'Jeff dropped the apple' or 'Brian is white' or both. | Chances are about even that 'Jeff dropped the apple' 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
0.7::factA.
0.6::factB.
0.8::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| almost certain | about even | 'Jeff dropped the apple' or 'Brian is white' or both. | 0valid
| 3,946 | 0.94 |
There is little chance that Julius is gray. It is probably not the case that Mary went to the office. It is unlikely that John put down the milk. | There is almost no chance that 'Mary went to the office and Julius is gray'. | There is almost no chance that 'Mary went to the office and Julius is gray'. | Chances are about even that 'Mary went to the office and Julius is gray'. |
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.
0.2::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| almost no chance | about even | 'Mary went to the office and Julius is gray'. | 1invalid
| 3,947 | 0.025 |
We believe that John took the apple. There is a better than even chance that Bernhard is a lion. There is almost no chance that Lily is a swan. | There is a better than even chance that 'Lily is a swan' or 'Bernhard is a lion' or both. | There is a better than even chance that 'Lily is a swan' or 'Bernhard is a lion' or both. | It is highly unlikely that 'Lily is a swan' or 'Bernhard 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
0.75::factA.
0.6::factB.
0.02::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| better than even | highly unlikely | 'Lily is a swan' or 'Bernhard is a lion' or both. | 1invalid
| 3,948 | 0.608 |
It is certain that Brian is a swan. It is almost certain that John dropped the apple. We believe that Mary went to the bedroom. | It is certain that 'Brian is a swan' or 'Mary went to the bedroom' or both. | It is certain that 'Brian is a swan' or 'Mary went to the bedroom' or both. | It is improbable that 'Brian is a swan' 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
1.0::factA.
0.95::factB.
0.75::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| certain | improbable | 'Brian is a swan' or 'Mary went to the bedroom' or both. | 1invalid
| 3,949 | 1 |
It is certain that Fred left the apple. It is probably not the case that Mary moved to the office. It is highly likely that Brian is a swan. | There is little chance that either 'Brian is a swan' or 'Mary moved to the office' but not both. | It is probably the case that either 'Brian is a swan' or 'Mary moved to the office' but not both. | There is little chance that either 'Brian is a swan' or 'Mary moved 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
1.0::factA.
0.25::factB.
0.9::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| probably | little chance | Either 'Brian is a swan' or 'Mary moved to the office' but not both. | 0valid
| 3,950 | 0.7 |
There is a better than even chance that John took the milk. Chances are about even that Julius is a swan. We doubt that Jessica is a mouse. | There is a very good chance that 'John took the milk' or 'Julius is a swan' or both. | There is a very good chance that 'John took the milk' or 'Julius is a swan' or both. | We doubt that 'John took the milk' or 'Julius 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
0.6::factA.
0.5::factB.
0.2::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| very good chance | we doubt | 'John took the milk' or 'Julius is a swan' or both. | 1invalid
| 3,951 | 0.8 |
It is almost certain that Julius is a lion. It is highly likely that Greg is white. It is highly likely that Brian is green. | There is a very good chance that 'Greg is white and Brian is green'. | There is a very good chance that 'Greg is white and Brian is green'. | We doubt that 'Greg is white and Brian 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
0.95::factA.
0.9::factB.
0.9::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| very good chance | we doubt | 'Greg is white and Brian is green'. | 1invalid
| 3,952 | 0.81 |
It is almost certain that Jeff dropped the apple. It is probably not the case that Greg is a swan. Chances are about even that Lily is white. | It is improbable that 'Lily is white' or 'Greg is a swan' or both. | There is a better than even chance that 'Lily is white' or 'Greg is a swan' or both. | It is improbable that 'Lily is white' or 'Greg 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
0.95::factA.
0.25::factB.
0.5::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| better than even | improbable | 'Lily is white' or 'Greg is a swan' or both. | 0valid
| 3,953 | 0.625 |
It is improbable that Mary went to the hallway. It is almost certain that Julius is yellow. We believe that Jason is thirsty. | It is probably not the case that 'Jason is thirsty' or 'Julius is yellow' or both. | It is certain that 'Jason is thirsty' or 'Julius is yellow' or both. | It is probably not the case that 'Jason is thirsty' or 'Julius is yellow' 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.
0.95::factB.
0.75::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| certain | probably not | 'Jason is thirsty' or 'Julius is yellow' or both. | 0valid
| 3,954 | 0.9875 |
It is unlikely that Daniel left the apple. It is almost certain that John took the football. Chances are slight that Brian is gray. | We doubt that 'Daniel left the apple and John took the football'. | We doubt that 'Daniel left the apple and John took the football'. | It is certain that 'Daniel left the apple 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.
0.95::factB.
0.1::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| we doubt | certain | 'Daniel left the apple and John took the football'. | 1invalid
| 3,955 | 0.19 |
It is probably not the case that John went to the garden. It is improbable that Brian is a rhino. There is almost no chance that Lily is green. | It is probable that 'Lily is green' or 'Brian is a rhino' or both. | It is improbable that 'Lily is green' or 'Brian is a rhino' or both. | It is probable that 'Lily is green' 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
0.25::factA.
0.1::factB.
0.02::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| improbable | probable | 'Lily is green' or 'Brian is a rhino' or both. | 0valid
| 3,956 | 0.118 |
It is certain that Gertrude is a mouse. It is probably the case that Lily is a rhino. Chances are about even that Brian is a frog. | It is probable that 'Lily is a rhino and Brian is a frog'. | It is probably not the case that 'Lily is a rhino and Brian is a frog'. | It is probable that 'Lily is a rhino 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
1.0::factA.
0.7::factB.
0.5::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| probably not | probable | 'Lily is a rhino and Brian is a frog'. | 0valid
| 3,957 | 0.35 |
It is likely that Jeff left the apple. We believe that John moved to the office. There is almost no chance that Lily is gray. | There is almost no chance that 'Lily is gray' or 'Jeff left the apple' or both. | It is likely that 'Lily is gray' or 'Jeff left the apple' or both. | There is almost no chance that 'Lily is gray' or 'Jeff left 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.
0.75::factB.
0.02::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| likely | almost no chance | 'Lily is gray' or 'Jeff left the apple' or both. | 0valid
| 3,958 | 0.706 |
It is highly likely that Mary dropped the milk. There is a better than even chance that Sandra left the football. It is probably the case that Gertrude is a cat. | Chances are about even that either 'Gertrude is a cat' or 'Sandra left the football' but not both. | Chances are about even that either 'Gertrude is a cat' or 'Sandra left the football' but not both. | It is highly unlikely that either 'Gertrude is a cat' or 'Sandra left 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
0.9::factA.
0.6::factB.
0.7::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| about even | highly unlikely | Either 'Gertrude is a cat' or 'Sandra left the football' but not both. | 1invalid
| 3,959 | 0.46 |
There is a very good chance that Lily is a swan. It is likely that Mary went to the bedroom. There is a better than even chance that John discarded the apple. | It is almost certain that 'Lily is a swan' or 'Mary went to the bedroom' or both. | It is almost certain that 'Lily is a swan' or 'Mary went to the bedroom' or both. | It is improbable that 'Lily is a swan' 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.
0.7::factB.
0.6::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| almost certain | improbable | 'Lily is a swan' or 'Mary went to the bedroom' or both. | 1invalid
| 3,960 | 0.94 |
We believe that Greg is a rhino. We doubt that Jessica is a sheep. It is likely that Brian is a frog. | Chances are about even that 'Brian is a frog and Greg is a rhino'. | Chances are about even that 'Brian is a frog and Greg is a rhino'. | There is almost no chance that 'Brian is a frog 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
0.75::factA.
0.2::factB.
0.7::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| about even | almost no chance | 'Brian is a frog and Greg is a rhino'. | 1invalid
| 3,961 | 0.525 |
Chances are slight that Bernhard is a lion. It is likely that Greg is a swan. Chances are slight that John took the football. | We believe that 'Greg is a swan' or 'John took the football' or both. | We believe that 'Greg is a swan' or 'John took the football' or both. | It is highly unlikely that 'Greg is a swan' or 'John took the football' 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.
0.1::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| we believe | highly unlikely | 'Greg is a swan' or 'John took the football' or both. | 1invalid
| 3,962 | 0.73 |
It is unlikely that Julius is a swan. It is highly unlikely that John went to the office. It is probably not the case that Jason is tired. | It is probably not the case that either 'John went to the office' or 'Julius is a swan' but not both. | It is probably not the case that either 'John went to the office' or 'Julius is a swan' but not both. | It is certain that either 'John went to the office' 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
0.2::factA.
0.05::factB.
0.25::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| probably not | certain | Either 'John went to the office' or 'Julius is a swan' but not both. | 1invalid
| 3,963 | 0.23 |
We believe that Jeff went to the bedroom. It is unlikely that Julius is gray. There is a better than even chance that Greg is white. | It is probably the case that either 'Julius is gray' or 'Jeff went to the bedroom' but not both. | It is probably the case that either 'Julius is gray' or 'Jeff went to the bedroom' but not both. | There is almost no chance that either 'Julius is gray' or 'Jeff went to the bedroom' 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.
0.2::factB.
0.6::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| probably | almost no chance | Either 'Julius is gray' or 'Jeff went to the bedroom' but not both. | 1invalid
| 3,964 | 0.65 |
It is impossible that Jeff left the apple. It is likely that Fred is in the school. It is improbable that Jason is tired. | It is likely that either 'Fred is in the school' or 'Jeff left the apple' but not both. | It is likely that either 'Fred is in the school' or 'Jeff left the apple' but not both. | We doubt that either 'Fred is in the school' or 'Jeff left 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
0.0::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| likely | we doubt | Either 'Fred is in the school' or 'Jeff left the apple' but not both. | 1invalid
| 3,965 | 0.7 |
It is highly unlikely that Lily is a swan. We doubt that Brian is white. It is impossible that Fred went to the office. | There is a better than even chance that 'Fred went to the office' or 'Lily is a swan' or both. | It is highly unlikely that 'Fred went to the office' or 'Lily is a swan' or both. | There is a better than even chance that 'Fred went to the office' 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
0.05::factA.
0.2::factB.
0.0::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| highly unlikely | better than even | 'Fred went to the office' or 'Lily is a swan' or both. | 0valid
| 3,966 | 0.05 |
It is impossible that Mary dropped the milk. We doubt that Julius is gray. It is highly likely that John moved to the garden. | We doubt that either 'Mary dropped the milk' or 'John moved to the garden' but not both. | It is highly likely that either 'Mary dropped the milk' or 'John moved to the garden' but not both. | We doubt that either 'Mary dropped the milk' or 'John 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
0.0::factA.
0.2::factB.
0.9::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| highly likely | we doubt | Either 'Mary dropped the milk' or 'John moved to the garden' but not both. | 0valid
| 3,967 | 0.9 |
There is almost no chance that Brian is a rhino. We believe that Jessica is a mouse. Chances are slight that Julius is a lion. | It is probably the case that either 'Jessica is a mouse' or 'Julius is a lion' but not both. | It is probably the case that either 'Jessica is a mouse' or 'Julius is a lion' but not both. | There is little chance that either 'Jessica is a mouse' or 'Julius is a lion' 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.
0.75::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| probably | little chance | Either 'Jessica is a mouse' or 'Julius is a lion' but not both. | 1invalid
| 3,968 | 0.7 |
It is certain that Mary picked up the apple. It is certain that Jeff went to the bedroom. There is a very good chance that Bernhard is white. | We doubt that either 'Bernhard is white' or 'Mary picked up the apple' but not both. | We doubt that either 'Bernhard is white' or 'Mary picked up the apple' but not both. | We believe that either 'Bernhard is white' or 'Mary picked up 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
1.0::factA.
1.0::factB.
0.8::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| we doubt | we believe | Either 'Bernhard is white' or 'Mary picked up the apple' but not both. | 1invalid
| 3,969 | 0.2 |
We believe that Mary dropped the milk. It is almost certain that Julius is a swan. It is certain that Jessica is a mouse. | We believe that either 'Julius is a swan' or 'Mary dropped the milk' but not both. | It is probably not the case that either 'Julius is a swan' or 'Mary dropped the milk' but not both. | We believe that either 'Julius is a swan' or 'Mary 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
0.75::factA.
0.95::factB.
1.0::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| probably not | we believe | Either 'Julius is a swan' or 'Mary dropped the milk' but not both. | 0valid
| 3,970 | 0.275 |
There is a better than even chance that Jeff left the apple. We doubt that Gertrude is a mouse. It is highly likely that Brian is gray. | Chances are about even that either 'Brian is gray' or 'Jeff left the apple' but not both. | Chances are about even that either 'Brian is gray' or 'Jeff left the apple' but not both. | It is highly unlikely that either 'Brian is gray' or 'Jeff left 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
0.6::factA.
0.2::factB.
0.9::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| about even | highly unlikely | Either 'Brian is gray' or 'Jeff left the apple' but not both. | 1invalid
| 3,971 | 0.42 |
We doubt that John moved to the office. It is likely that Gertrude is a mouse. It is unlikely that Brian is a lion. | There is a very good chance that 'Brian is a lion and Gertrude is a mouse'. | Chances are slight that 'Brian is a lion and Gertrude is a mouse'. | There is a very good chance that 'Brian is a lion and Gertrude is a mouse'. |
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:-and(factC,factB).
query(conclusion).
| chances are slight | very good chance | 'Brian is a lion and Gertrude is a mouse'. | 0valid
| 3,972 | 0.14 |
We believe that John discarded the apple. Chances are about even that Julius is a lion. It is unlikely that Mary went to the bedroom. | It is probably not the case that 'John discarded the apple and Julius is a lion'. | It is probably not the case that 'John discarded the apple and Julius is a lion'. | We believe that 'John discarded the apple 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
0.75::factA.
0.5::factB.
0.2::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| probably not | we believe | 'John discarded the apple and Julius is a lion'. | 1invalid
| 3,973 | 0.375 |
It is impossible that Julius is a swan. There is little chance that Bernhard is green. There is a very good chance that Gertrude is a cat. | It is unlikely that 'Gertrude is a cat' or 'Bernhard is green' or both. | There is a very good chance that 'Gertrude is a cat' or 'Bernhard is green' or both. | It is unlikely that 'Gertrude is a cat' 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
0.0::factA.
0.1::factB.
0.8::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| very good chance | unlikely | 'Gertrude is a cat' or 'Bernhard is green' or both. | 0valid
| 3,974 | 0.82 |
It is highly unlikely that John took the football. It is highly likely that Mary went to the hallway. It is unlikely that Julius is yellow. | There is a very good chance that 'John took the football' or 'Julius is yellow' or both. | It is probably not the case that 'John took the football' or 'Julius is yellow' or both. | There is a very good chance that 'John took the football' or 'Julius is yellow' 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.
0.9::factB.
0.2::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| probably not | very good chance | 'John took the football' or 'Julius is yellow' or both. | 0valid
| 3,975 | 0.24 |
It is probably the case that Mary went to the bedroom. It is likely that Yann is hungry. It is improbable that Julius is yellow. | We believe that 'Julius is yellow' or 'Yann is hungry' or both. | We believe that 'Julius is yellow' or 'Yann is hungry' or both. | It is highly unlikely that 'Julius is yellow' or 'Yann is hungry' 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.
0.7::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| we believe | highly unlikely | 'Julius is yellow' or 'Yann is hungry' or both. | 1invalid
| 3,976 | 0.73 |
Chances are about even that Emily is a wolf. It is certain that Bernhard is a lion. Chances are slight that John got the milk. | It is almost certain that 'John got the milk and Emily is a wolf'. | It is highly unlikely that 'John got the milk and Emily is a wolf'. | It is almost certain that 'John got the milk and Emily is a wolf'. |
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.
1.0::factB.
0.1::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| highly unlikely | almost certain | 'John got the milk and Emily is a wolf'. | 0valid
| 3,977 | 0.05 |
It is highly unlikely that Mary went to the bedroom. There is little chance that Daniel left the milk. It is impossible that Winona is a wolf. | It is probable that 'Winona is a wolf and Mary went to the bedroom'. | It is impossible that 'Winona is a wolf and Mary went to the bedroom'. | It is probable that 'Winona is a wolf and Mary went to the bedroom'. |
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.
0.1::factB.
0.0::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| impossible | probable | 'Winona is a wolf and Mary went to the bedroom'. | 0valid
| 3,978 | 0 |
It is unlikely that John moved to the garden. It is unlikely that Brian is yellow. It is improbable that Sandra took the football. | It is probably not the case that either 'Brian is yellow' or 'John moved to the garden' but not both. | It is probably not the case that either 'Brian is yellow' or 'John moved to the garden' but not both. | It is certain that either 'Brian is yellow' or 'John 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
0.2::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| probably not | certain | Either 'Brian is yellow' or 'John moved to the garden' but not both. | 1invalid
| 3,979 | 0.32 |
We believe that Bernhard is a swan. There is a better than even chance that Fred dropped the milk. There is little chance that Mary went to the bedroom. | Chances are about even that either 'Bernhard is a swan' or 'Fred dropped the milk' but not both. | Chances are about even that either 'Bernhard is a swan' or 'Fred dropped the milk' but not both. | It is highly unlikely that either 'Bernhard is a swan' or 'Fred 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
0.75::factA.
0.6::factB.
0.1::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| about even | highly unlikely | Either 'Bernhard is a swan' or 'Fred dropped the milk' but not both. | 1invalid
| 3,980 | 0.45 |
It is improbable that Brian is a frog. It is highly unlikely that Sandra left the milk. There is almost no chance that Mary went to the kitchen. | Chances are slight that 'Brian is a frog' or 'Mary went to the kitchen' or both. | Chances are slight that 'Brian is a frog' or 'Mary went to the kitchen' or both. | It is certain that 'Brian is a frog' or 'Mary went to the kitchen' 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.
0.05::factB.
0.02::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| chances are slight | certain | 'Brian is a frog' or 'Mary went to the kitchen' or both. | 1invalid
| 3,981 | 0.118 |
It is probable that Lily is a swan. There is almost no chance that Fred moved to the office. It is probably not the case that Brian is a rhino. | It is probably not the case that 'Fred moved to the office' or 'Brian is a rhino' or both. | It is probably not the case that 'Fred moved to the office' or 'Brian is a rhino' or both. | It is certain that 'Fred moved to the office' 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
0.7::factA.
0.02::factB.
0.25::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| probably not | certain | 'Fred moved to the office' or 'Brian is a rhino' or both. | 1invalid
| 3,982 | 0.265 |
There is a very good chance that Sandra grabbed the apple. It is almost certain that John went to the hallway. There is almost no chance that Mary left the football. | We believe that 'Mary left the football and Sandra grabbed the apple'. | There is almost no chance that 'Mary left the football and Sandra grabbed the apple'. | We believe that 'Mary left the football and Sandra grabbed 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
0.8::factA.
0.95::factB.
0.02::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| almost no chance | we believe | 'Mary left the football and Sandra grabbed the apple'. | 0valid
| 3,983 | 0.016 |
It is probable that Lily is a frog. There is a very good chance that Bernhard is a frog. It is probably not the case that Brian is a swan. | It is almost certain that 'Bernhard is a frog' or 'Lily is a frog' or both. | It is almost certain that 'Bernhard is a frog' or 'Lily is a frog' or both. | Chances are slight that 'Bernhard is a frog' or 'Lily 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.
0.8::factB.
0.25::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| almost certain | chances are slight | 'Bernhard is a frog' or 'Lily is a frog' or both. | 1invalid
| 3,984 | 0.94 |
It is unlikely that Brian is a rhino. It is probable that Daniel dropped the milk. It is impossible that John put down the apple. | It is improbable that either 'Daniel dropped the milk' or 'Brian is a rhino' but not both. | There is a better than even chance that either 'Daniel dropped the milk' or 'Brian is a rhino' but not both. | It is improbable that either 'Daniel dropped the milk' 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
0.2::factA.
0.7::factB.
0.0::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| better than even | improbable | Either 'Daniel dropped the milk' or 'Brian is a rhino' but not both. | 0valid
| 3,985 | 0.62 |
It is likely that Mary grabbed the milk. It is highly likely that Sandra dropped the milk. There is almost no chance that Julius is gray. | It is probable that either 'Julius is gray' or 'Mary grabbed the milk' but not both. | It is probable that either 'Julius is gray' or 'Mary grabbed the milk' but not both. | There is almost no chance that either 'Julius is gray' or 'Mary grabbed 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.
0.9::factB.
0.02::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| probable | almost no chance | Either 'Julius is gray' or 'Mary grabbed the milk' but not both. | 1invalid
| 3,986 | 0.692 |
There is a better than even chance that Brian is a swan. There is a very good chance that John went to the bedroom. It is likely that Bernhard is gray. | There is a better than even chance that 'Bernhard is gray and John went to the bedroom'. | There is a better than even chance that 'Bernhard is gray and John went to the bedroom'. | It is impossible that 'Bernhard is gray and John went to the bedroom'. |
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.
0.8::factB.
0.7::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| better than even | impossible | 'Bernhard is gray and John went to the bedroom'. | 1invalid
| 3,987 | 0.56 |
It is probably the case that John dropped the apple. There is a very good chance that Bernhard is green. Chances are slight that Lily is a rhino. | There is a better than even chance that 'Bernhard is green and John dropped the apple'. | There is a better than even chance that 'Bernhard is green and John dropped the apple'. | It is impossible that 'Bernhard is green and John dropped 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.
0.1::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| better than even | impossible | 'Bernhard is green and John dropped the apple'. | 1invalid
| 3,988 | 0.56 |
Chances are slight that Gertrude is a cat. It is highly likely that Greg is a frog. It is impossible that Lily is yellow. | We doubt that 'Greg is a frog' or 'Lily is yellow' or both. | It is highly likely that 'Greg is a frog' or 'Lily is yellow' or both. | We doubt that 'Greg is a frog' or 'Lily is yellow' 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.
0.9::factB.
0.0::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| highly likely | we doubt | 'Greg is a frog' or 'Lily is yellow' or both. | 0valid
| 3,989 | 0.9 |
It is probably the case that Brian is a rhino. It is impossible that Mary went to the office. Chances are slight that John grabbed the apple. | It is improbable that 'John grabbed the apple' or 'Brian is a rhino' or both. | We believe that 'John grabbed the apple' or 'Brian is a rhino' or both. | It is improbable that 'John grabbed the apple' 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
0.7::factA.
0.0::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| we believe | improbable | 'John grabbed the apple' or 'Brian is a rhino' or both. | 0valid
| 3,990 | 0.73 |
It is almost certain that Jessica is a mouse. It is probable that John went to the kitchen. It is certain that Greg is yellow. | There is almost no chance that 'Jessica is a mouse and Greg is yellow'. | It is almost certain that 'Jessica is a mouse and Greg is yellow'. | There is almost no chance that 'Jessica is a mouse and Greg 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
0.95::factA.
0.7::factB.
1.0::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| almost certain | almost no chance | 'Jessica is a mouse and Greg is yellow'. | 0valid
| 3,991 | 0.95 |
There is little chance that John went to the bedroom. It is impossible that Daniel got the apple. There is almost no chance that Lily is a swan. | It is probable that either 'Daniel got the apple' or 'Lily is a swan' but not both. | There is almost no chance that either 'Daniel got the apple' or 'Lily is a swan' but not both. | It is probable that either 'Daniel got the apple' or 'Lily 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.
0.0::factB.
0.02::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| almost no chance | probable | Either 'Daniel got the apple' or 'Lily is a swan' but not both. | 0valid
| 3,992 | 0.02 |
Chances are about even that Gertrude is a sheep. We believe that John went to the office. It is unlikely that Brian is a swan. | There is little chance that 'Gertrude is a sheep and Brian is a swan'. | There is little chance that 'Gertrude is a sheep and Brian is a swan'. | It is likely that 'Gertrude is a sheep 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
0.5::factA.
0.75::factB.
0.2::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| little chance | likely | 'Gertrude is a sheep and Brian is a swan'. | 1invalid
| 3,993 | 0.1 |
It is almost certain that Julius is a swan. There is a better than even chance that John dropped the milk. We doubt that Mary went to the garden. | It is probably the case that 'John dropped the milk' or 'Mary went to the garden' or both. | It is probably the case that 'John dropped the milk' or 'Mary went to the garden' or both. | It is impossible that 'John dropped the milk' or 'Mary 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
0.95::factA.
0.6::factB.
0.2::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| probably | impossible | 'John dropped the milk' or 'Mary went to the garden' or both. | 1invalid
| 3,994 | 0.68 |
We believe that Lily is a swan. It is probable that Julius is white. It is highly likely that Mary is in the hallway. | There is almost no chance that 'Mary is in the hallway and Julius is white'. | There is a better than even chance that 'Mary is in the hallway and Julius is white'. | There is almost no chance that 'Mary is in the hallway and Julius 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
0.75::factA.
0.7::factB.
0.9::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| better than even | almost no chance | 'Mary is in the hallway and Julius is white'. | 0valid
| 3,995 | 0.63 |
It is probably the case that Winona is a cat. It is probable that Brian is white. It is almost certain that Sandra put down the milk. | There is almost no chance that 'Sandra put down the milk and Winona is a cat'. | It is probable that 'Sandra put down the milk and Winona is a cat'. | There is almost no chance that 'Sandra put down the milk 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
0.7::factA.
0.7::factB.
0.95::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| probable | almost no chance | 'Sandra put down the milk and Winona is a cat'. | 0valid
| 3,996 | 0.665 |
We doubt that Sandra left the milk. There is a very good chance that Julius is gray. It is almost certain that Lily is a rhino. | It is highly unlikely that 'Sandra left the milk' or 'Lily is a rhino' or both. | It is almost certain that 'Sandra left the milk' or 'Lily is a rhino' or both. | It is highly unlikely that 'Sandra left the milk' or 'Lily 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
0.2::factA.
0.8::factB.
0.95::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| almost certain | highly unlikely | 'Sandra left the milk' or 'Lily is a rhino' or both. | 0valid
| 3,997 | 0.96 |
There is little chance that Daniel took the football. It is probably the case that Brian is yellow. It is highly unlikely that Jeff left the football. | Chances are slight that either 'Daniel took the football' or 'Jeff left the football' but not both. | Chances are slight that either 'Daniel took the football' or 'Jeff left the football' but not both. | There is a better than even chance that either 'Daniel took the football' or 'Jeff left 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
0.1::factA.
0.7::factB.
0.05::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| chances are slight | better than even | Either 'Daniel took the football' or 'Jeff left the football' but not both. | 1invalid
| 3,998 | 0.14 |
It is probably not the case that John dropped the milk. We doubt that Greg is a swan. We believe that Brian is a lion. | There is a better than even chance that either 'John dropped the milk' or 'Brian is a lion' but not both. | There is a better than even chance that either 'John dropped the milk' or 'Brian is a lion' but not both. | It is improbable that either 'John dropped the milk' or 'Brian is a lion' 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.
0.2::factB.
0.75::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| better than even | improbable | Either 'John dropped the milk' or 'Brian is a lion' but not both. | 1invalid
| 3,999 | 0.625 |