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
|
|---|---|---|---|---|---|---|---|---|---|---|
We doubt that Bernhard is gray. It is improbable that Greg is a frog. It is impossible that Mary discarded the apple. | It is probable that 'Bernhard is gray and Mary discarded the apple'. | It is impossible that 'Bernhard is gray and Mary discarded the apple'. | It is probable that 'Bernhard is gray and Mary 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
0.2::factA.
0.1::factB.
0.0::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| impossible | probable | 'Bernhard is gray and Mary discarded the apple'. | 0valid
| 3,400 | 0 |
There is a better than even chance that Bernhard is yellow. It is impossible that Mary dropped the milk. There is little chance that Jason is tired. | There is a better than even chance that either 'Bernhard is yellow' or 'Mary dropped the milk' but not both. | There is a better than even chance that either 'Bernhard is yellow' or 'Mary dropped the milk' but not both. | It is impossible that either 'Bernhard is yellow' 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
0.6::factA.
0.0::factB.
0.1::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| better than even | impossible | Either 'Bernhard is yellow' or 'Mary dropped the milk' but not both. | 1invalid
| 3,401 | 0.6 |
We believe that Bernhard is white. It is impossible that Greg is yellow. It is highly unlikely that John put down the apple. | It is highly unlikely that either 'John put down the apple' or 'Greg is yellow' but not both. | It is highly unlikely that either 'John put down the apple' or 'Greg is yellow' but not both. | It is almost certain that either 'John put down the apple' or 'Greg 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
0.75::factA.
0.0::factB.
0.05::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| highly unlikely | almost certain | Either 'John put down the apple' or 'Greg is yellow' but not both. | 1invalid
| 3,402 | 0.05 |
We doubt that Fred dropped the milk. We doubt that John went to the bedroom. It is probably the case that Jessica is a mouse. | We believe that 'John went to the bedroom' or 'Jessica is a mouse' or both. | We believe that 'John went to the bedroom' or 'Jessica is a mouse' or both. | We doubt that 'John went to the bedroom' or 'Jessica 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
0.2::factA.
0.2::factB.
0.7::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| we believe | we doubt | 'John went to the bedroom' or 'Jessica is a mouse' or both. | 1invalid
| 3,403 | 0.76 |
It is highly likely that Bernhard is a rhino. It is highly likely that Julius is a swan. There is little chance that Lily is a lion. | Chances are slight that 'Bernhard is a rhino and Julius is a swan'. | There is a very good chance that 'Bernhard is a rhino and Julius is a swan'. | Chances are slight that 'Bernhard is a rhino and Julius 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
0.9::factA.
0.9::factB.
0.1::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| very good chance | chances are slight | 'Bernhard is a rhino and Julius is a swan'. | 0valid
| 3,404 | 0.81 |
Chances are about even that Bernhard is gray. It is certain that Brian is a swan. It is probable that Sandra took the milk. | It is highly unlikely that either 'Bernhard is gray' or 'Brian is a swan' but not both. | Chances are about even that either 'Bernhard is gray' or 'Brian is a swan' but not both. | It is highly unlikely that either 'Bernhard is gray' or 'Brian 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
0.5::factA.
1.0::factB.
0.7::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| about even | highly unlikely | Either 'Bernhard is gray' or 'Brian is a swan' but not both. | 0valid
| 3,405 | 0.5 |
It is probably the case that Jessica is a mouse. It is unlikely that Julius is a lion. It is impossible that Lily is white. | It is impossible that 'Jessica is a mouse and Lily is white'. | It is impossible that 'Jessica is a mouse and Lily is white'. | Chances are about even that 'Jessica is a mouse and Lily 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
0.7::factA.
0.2::factB.
0.0::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| impossible | about even | 'Jessica is a mouse and Lily is white'. | 1invalid
| 3,406 | 0 |
It is unlikely that John discarded the apple. It is probable that Bernhard is white. There is a better than even chance that Brian is a frog. | It is probably the case that 'John discarded the apple and Brian is a frog'. | It is improbable that 'John discarded the apple and Brian is a frog'. | It is probably the case that 'John discarded the apple 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
0.2::factA.
0.7::factB.
0.6::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| improbable | probably | 'John discarded the apple and Brian is a frog'. | 0valid
| 3,407 | 0.12 |
It is certain that Brian is white. It is probable that Jessica is a cat. It is probably not the case that Lily is a swan. | It is certain that 'Brian is white' or 'Lily is a swan' or both. | It is certain that 'Brian is white' or 'Lily is a swan' or both. | It is probably not the case that 'Brian is white' 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
1.0::factA.
0.7::factB.
0.25::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| certain | probably not | 'Brian is white' or 'Lily is a swan' or both. | 1invalid
| 3,408 | 1 |
It is probably not the case that Sandra left the football. It is almost certain that Mary discarded the milk. It is probable that Julius is a frog. | It is probably not the case that 'Sandra left the football and Mary discarded the milk'. | It is probably not the case that 'Sandra left the football and Mary discarded the milk'. | It is almost certain that 'Sandra left the football and Mary 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
0.25::factA.
0.95::factB.
0.7::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| probably not | almost certain | 'Sandra left the football and Mary discarded the milk'. | 1invalid
| 3,409 | 0.2375 |
It is likely that John put down the milk. It is unlikely that Jessica is a mouse. There is little chance that Lily is a lion. | There is a better than even chance that either 'Jessica is a mouse' or 'John put down the milk' but not both. | There is a better than even chance that either 'Jessica is a mouse' or 'John put down the milk' but not both. | There is almost no chance that either 'Jessica is a mouse' or 'John 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
0.7::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| better than even | almost no chance | Either 'Jessica is a mouse' or 'John put down the milk' but not both. | 1invalid
| 3,410 | 0.62 |
Chances are about even that Brian is a lion. It is probably not the case that Greg is white. There is almost no chance that Bernhard is gray. | We believe that 'Greg is white' or 'Bernhard is gray' or both. | It is probably not the case that 'Greg is white' or 'Bernhard is gray' or both. | We believe that 'Greg is white' 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
0.5::factA.
0.25::factB.
0.02::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| probably not | we believe | 'Greg is white' or 'Bernhard is gray' or both. | 0valid
| 3,411 | 0.265 |
It is highly unlikely that Greg is a rhino. It is improbable that John left the apple. It is highly likely that Lily is a frog. | There is little chance that 'Greg is a rhino' or 'John left the apple' or both. | There is little chance that 'Greg is a rhino' or 'John left the apple' or both. | It is highly likely that 'Greg is a rhino' 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
0.05::factA.
0.1::factB.
0.9::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| little chance | highly likely | 'Greg is a rhino' or 'John left the apple' or both. | 1invalid
| 3,412 | 0.145 |
It is improbable that Sandra left the milk. It is highly unlikely that Bernhard is a swan. It is improbable that Julius is yellow. | It is unlikely that 'Julius is yellow' or 'Sandra left the milk' or both. | It is unlikely that 'Julius is yellow' or 'Sandra left the milk' or both. | We believe that 'Julius is yellow' 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.
0.05::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| unlikely | we believe | 'Julius is yellow' or 'Sandra left the milk' or both. | 1invalid
| 3,413 | 0.19 |
It is almost certain that Julius is yellow. It is probably the case that Greg is green. Chances are slight that Jeff went to the bedroom. | We believe that either 'Julius is yellow' or 'Greg is green' but not both. | It is probably not the case that either 'Julius is yellow' or 'Greg is green' but not both. | We believe that either 'Julius is yellow' or 'Greg 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
0.95::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| probably not | we believe | Either 'Julius is yellow' or 'Greg is green' but not both. | 0valid
| 3,414 | 0.32 |
There is little chance that Julius is gray. We doubt that Daniel left the apple. There is little chance that Mary discarded the milk. | It is probably not the case that either 'Mary discarded the milk' or 'Daniel left the apple' but not both. | It is probably not the case that either 'Mary discarded the milk' or 'Daniel left the apple' but not both. | It is probable that either 'Mary discarded the milk' or 'Daniel 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
0.1::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| probably not | probable | Either 'Mary discarded the milk' or 'Daniel left the apple' but not both. | 1invalid
| 3,415 | 0.26 |
It is highly unlikely that Brian is a lion. It is certain that Lily is a frog. It is probably not the case that Bernhard is a lion. | There is almost no chance that 'Lily is a frog' or 'Brian is a lion' or both. | It is certain that 'Lily is a frog' or 'Brian is a lion' or both. | There is almost no chance that 'Lily is a frog' 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
0.05::factA.
1.0::factB.
0.25::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| certain | almost no chance | 'Lily is a frog' or 'Brian is a lion' or both. | 0valid
| 3,416 | 1 |
It is likely that Bernhard is white. It is probably not the case that Mary went to the kitchen. We doubt that Jessica is a cat. | Chances are slight that 'Jessica is a cat and Bernhard is white'. | Chances are slight that 'Jessica is a cat and Bernhard is white'. | It is probable that 'Jessica is a cat 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
0.7::factA.
0.25::factB.
0.2::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| chances are slight | probable | 'Jessica is a cat and Bernhard is white'. | 1invalid
| 3,417 | 0.14 |
It is probable that Sandra is in the kitchen. There is a very good chance that Bernhard is green. It is likely that John put down the apple. | There is little chance that 'Bernhard is green and Sandra is in the kitchen'. | There is a better than even chance that 'Bernhard is green and Sandra is in the kitchen'. | There is little chance that 'Bernhard is green and Sandra is in 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
0.7::factA.
0.8::factB.
0.7::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| better than even | little chance | 'Bernhard is green and Sandra is in the kitchen'. | 0valid
| 3,418 | 0.56 |
It is unlikely that Mary left the football. It is improbable that Julius is yellow. We believe that Bernhard is a rhino. | Chances are slight that 'Bernhard is a rhino and Julius is yellow'. | Chances are slight that 'Bernhard is a rhino and Julius is yellow'. | It is highly likely that 'Bernhard is a rhino 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
0.2::factA.
0.1::factB.
0.75::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| chances are slight | highly likely | 'Bernhard is a rhino and Julius is yellow'. | 1invalid
| 3,419 | 0.075 |
We doubt that John dropped the milk. Chances are slight that Mary got the football. It is unlikely that Lily is a frog. | It is probably not the case that either 'John dropped the milk' or 'Mary got the football' but not both. | It is probably not the case that either 'John dropped the milk' or 'Mary got the football' but not both. | It is certain that either 'John dropped the milk' or 'Mary 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.
0.1::factB.
0.2::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| probably not | certain | Either 'John dropped the milk' or 'Mary got the football' but not both. | 1invalid
| 3,420 | 0.26 |
It is probably not the case that John got the milk. Chances are about even that Daniel dropped the apple. It is improbable that Fred is in the office. | It is probably the case that either 'John got the milk' or 'Fred is in the office' but not both. | It is probably not the case that either 'John got the milk' or 'Fred is in the office' but not both. | It is probably the case that either 'John got the milk' or 'Fred is in 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
0.25::factA.
0.5::factB.
0.1::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| probably not | probably | Either 'John got the milk' or 'Fred is in the office' but not both. | 0valid
| 3,421 | 0.3 |
Chances are slight that Bernhard is white. We doubt that Greg is white. It is highly likely that Mary dropped the milk. | It is impossible that 'Bernhard is white' or 'Mary dropped the milk' or both. | It is highly likely that 'Bernhard is white' or 'Mary dropped the milk' or both. | It is impossible that 'Bernhard is white' or 'Mary 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.
0.2::factB.
0.9::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| highly likely | impossible | 'Bernhard is white' or 'Mary dropped the milk' or both. | 0valid
| 3,422 | 0.91 |
Chances are about even that Mary got the milk. There is little chance that John grabbed the apple. It is unlikely that Lily is a rhino. | There is a better than even chance that 'John grabbed the apple' or 'Mary got the milk' or both. | There is a better than even chance that 'John grabbed the apple' or 'Mary got the milk' or both. | It is improbable that 'John grabbed the apple' or 'Mary got 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
0.5::factA.
0.1::factB.
0.2::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| better than even | improbable | 'John grabbed the apple' or 'Mary got the milk' or both. | 1invalid
| 3,423 | 0.55 |
It is almost certain that Greg is a swan. It is probably the case that Lily is gray. There is almost no chance that Julius is yellow. | It is probably not the case that either 'Greg is a swan' or 'Lily is gray' but not both. | It is probably not the case that either 'Greg is a swan' or 'Lily is gray' but not both. | It is probable that either 'Greg is a swan' or 'Lily 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
0.95::factA.
0.7::factB.
0.02::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| probably not | probable | Either 'Greg is a swan' or 'Lily is gray' but not both. | 1invalid
| 3,424 | 0.32 |
There is almost no chance that Bill went to the garden. There is little chance that Emily is a wolf. It is almost certain that Gertrude is a sheep. | Chances are slight that 'Bill went to the garden' or 'Emily is a wolf' or both. | Chances are slight that 'Bill went to the garden' or 'Emily is a wolf' or both. | We believe that 'Bill went to the garden' or 'Emily 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
0.02::factA.
0.1::factB.
0.95::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| chances are slight | we believe | 'Bill went to the garden' or 'Emily is a wolf' or both. | 1invalid
| 3,425 | 0.118 |
It is highly unlikely that John put down the milk. There is a better than even chance that Bernhard is a frog. Chances are slight that Lily is yellow. | Chances are about even that 'Bernhard is a frog and John put down the milk'. | There is almost no chance that 'Bernhard is a frog and John put down the milk'. | Chances are about even that 'Bernhard is a frog and John put down 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.
0.6::factB.
0.1::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| almost no chance | about even | 'Bernhard is a frog and John put down the milk'. | 0valid
| 3,426 | 0.03 |
Chances are slight that Sandra dropped the milk. It is probable that Julius is yellow. It is highly unlikely that Lily is green. | It is likely that 'Lily is green and Sandra dropped the milk'. | It is impossible that 'Lily is green and Sandra dropped the milk'. | It is likely that 'Lily is green and Sandra dropped 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.
0.05::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| impossible | likely | 'Lily is green and Sandra dropped the milk'. | 0valid
| 3,427 | 0.005 |
Chances are about even that Bill went to the garden. There is almost no chance that Bernhard is a swan. There is a very good chance that Greg is white. | It is highly unlikely that either 'Greg is white' or 'Bill went to the garden' but not both. | Chances are about even that either 'Greg is white' or 'Bill went to the garden' but not both. | It is highly unlikely that either 'Greg is white' or 'Bill 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
0.5::factA.
0.02::factB.
0.8::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| about even | highly unlikely | Either 'Greg is white' or 'Bill went to the garden' but not both. | 0valid
| 3,428 | 0.5 |
It is almost certain that John moved to the office. It is highly unlikely that Emily is a wolf. It is highly likely that Winona is a sheep. | It is impossible that 'John moved to the office' or 'Winona is a sheep' or both. | It is certain that 'John moved to the office' or 'Winona is a sheep' or both. | It is impossible that 'John moved to the office' or 'Winona 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
0.95::factA.
0.05::factB.
0.9::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| certain | impossible | 'John moved to the office' or 'Winona is a sheep' or both. | 0valid
| 3,429 | 0.995 |
It is unlikely that Daniel took the milk. It is improbable that Mary went to the garden. There is almost no chance that Fred is in the cinema. | It is certain that 'Fred is in the cinema and Mary went to the garden'. | It is impossible that 'Fred is in the cinema and Mary went to the garden'. | It is certain that 'Fred is in the cinema and Mary 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
0.2::factA.
0.1::factB.
0.02::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| impossible | certain | 'Fred is in the cinema and Mary went to the garden'. | 0valid
| 3,430 | 0.002 |
It is probably the case that Greg is a rhino. It is almost certain that Julius is gray. It is probably not the case that Brian is a frog. | It is probable that 'Greg is a rhino and Brian is a frog'. | It is unlikely that 'Greg is a rhino and Brian is a frog'. | It is probable that 'Greg 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
0.7::factA.
0.95::factB.
0.25::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| unlikely | probable | 'Greg is a rhino and Brian is a frog'. | 0valid
| 3,431 | 0.175 |
Chances are slight that Brian is white. There is a better than even chance that Mary went to the bedroom. There is almost no chance that Lily is a frog. | There is a better than even chance that 'Lily is a frog and Brian is white'. | It is impossible that 'Lily is a frog and Brian is white'. | There is a better than even chance that 'Lily is a frog 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
0.1::factA.
0.6::factB.
0.02::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| impossible | better than even | 'Lily is a frog and Brian is white'. | 0valid
| 3,432 | 0.002 |
There is a better than even chance that Mary dropped the apple. It is probably not the case that Greg is a rhino. Chances are slight that Jessica is a cat. | It is probably the case that 'Mary dropped the apple' or 'Greg is a rhino' or both. | It is probably the case that 'Mary dropped the apple' or 'Greg is a rhino' or both. | It is probably not the case that 'Mary dropped the apple' or 'Greg 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
0.6::factA.
0.25::factB.
0.1::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| probably | probably not | 'Mary dropped the apple' or 'Greg is a rhino' or both. | 1invalid
| 3,433 | 0.7 |
It is probable that Brian is white. There is little chance that Emily is a wolf. Chances are about even that Lily is yellow. | It is probably not the case that 'Brian is white and Lily is yellow'. | It is probably not the case that 'Brian is white and Lily is yellow'. | It is probably the case that 'Brian is white 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
0.7::factA.
0.1::factB.
0.5::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| probably not | probably | 'Brian is white and Lily is yellow'. | 1invalid
| 3,434 | 0.35 |
It is highly likely that Bernhard is green. It is impossible that Fred is in the cinema. It is highly likely that Jessica is a cat. | It is impossible that 'Bernhard is green' or 'Fred is in the cinema' or both. | It is highly likely that 'Bernhard is green' or 'Fred is in the cinema' or both. | It is impossible that 'Bernhard is green' or 'Fred is in the cinema' 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.
0.0::factB.
0.9::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| highly likely | impossible | 'Bernhard is green' or 'Fred is in the cinema' or both. | 0valid
| 3,435 | 0.9 |
It is probable that Mary went to the bedroom. Chances are slight that John got the football. It is probably not the case that Brian is white. | It is highly unlikely that either 'John got the football' or 'Mary went to the bedroom' but not both. | It is probable that either 'John got the football' or 'Mary went to the bedroom' but not both. | It is highly unlikely that either 'John got the football' or 'Mary 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
0.7::factA.
0.1::factB.
0.25::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| probable | highly unlikely | Either 'John got the football' or 'Mary went to the bedroom' but not both. | 0valid
| 3,436 | 0.66 |
There is a very good chance that Daniel dropped the apple. It is unlikely that Bernhard is a swan. We believe that John moved to the office. | There is a better than even chance that 'Daniel dropped the apple and John moved to the office'. | There is a better than even chance that 'Daniel dropped the apple and John moved to the office'. | There is little chance that 'Daniel dropped the apple and John moved 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
0.8::factA.
0.2::factB.
0.75::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| better than even | little chance | 'Daniel dropped the apple and John moved to the office'. | 1invalid
| 3,437 | 0.6 |
Chances are about even that Lily is yellow. It is certain that John left the football. It is highly unlikely that Brian is green. | There is a better than even chance that 'Lily is yellow and Brian is green'. | There is almost no chance that 'Lily is yellow and Brian is green'. | There is a better than even chance that 'Lily is yellow 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
0.5::factA.
1.0::factB.
0.05::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| almost no chance | better than even | 'Lily is yellow and Brian is green'. | 0valid
| 3,438 | 0.025 |
Chances are slight that Brian is a swan. There is a very good chance that Mary grabbed the milk. There is a better than even chance that Bernhard is white. | It is probably not the case that 'Mary grabbed the milk' or 'Brian is a swan' or both. | There is a very good chance that 'Mary grabbed the milk' or 'Brian is a swan' or both. | It is probably not the case that 'Mary grabbed the milk' or 'Brian 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
0.1::factA.
0.8::factB.
0.6::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| very good chance | probably not | 'Mary grabbed the milk' or 'Brian is a swan' or both. | 0valid
| 3,439 | 0.82 |
It is probably the case that John dropped the milk. It is likely that Mary went to the kitchen. It is improbable that Emily is a mouse. | We believe that 'John dropped the milk' or 'Emily is a mouse' or both. | We believe that 'John dropped the milk' or 'Emily is a mouse' or both. | Chances are slight that 'John dropped the milk' or 'Emily 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.
0.7::factB.
0.1::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| we believe | chances are slight | 'John dropped the milk' or 'Emily is a mouse' or both. | 1invalid
| 3,440 | 0.73 |
Chances are slight that Jeff went to the bedroom. It is likely that Lily is green. It is improbable that Emily is a wolf. | It is likely that either 'Lily is green' or 'Emily is a wolf' but not both. | It is likely that either 'Lily is green' or 'Emily is a wolf' but not both. | There is little chance that either 'Lily is green' 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
0.1::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| likely | little chance | Either 'Lily is green' or 'Emily is a wolf' but not both. | 1invalid
| 3,441 | 0.66 |
It is highly unlikely that John moved to the garden. It is probably the case that Sandra left the football. It is probable that Mary grabbed the milk. | It is almost certain that 'John moved to the garden and Sandra left the football'. | It is highly unlikely that 'John moved to the garden and Sandra left the football'. | It is almost certain that 'John moved to the garden and Sandra 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
0.05::factA.
0.7::factB.
0.7::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| highly unlikely | almost certain | 'John moved to the garden and Sandra left the football'. | 0valid
| 3,442 | 0.035 |
It is probably the case that Greg is white. It is probably not the case that Mary put down the apple. It is highly likely that Gertrude is a wolf. | It is probably not the case that 'Mary put down the apple and Gertrude is a wolf'. | It is probably not the case that 'Mary put down the apple and Gertrude is a wolf'. | It is highly likely that 'Mary put down the apple 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
0.7::factA.
0.25::factB.
0.9::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| probably not | highly likely | 'Mary put down the apple and Gertrude is a wolf'. | 1invalid
| 3,443 | 0.225 |
It is probably not the case that Brian is white. There is almost no chance that Fred left the football. It is highly unlikely that Greg is green. | It is impossible that 'Fred left the football and Brian is white'. | It is impossible that 'Fred left the football and Brian is white'. | It is highly likely that 'Fred left the football 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
0.25::factA.
0.02::factB.
0.05::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| impossible | highly likely | 'Fred left the football and Brian is white'. | 1invalid
| 3,444 | 0.005 |
Chances are about even that Julius is a swan. It is probably not the case that Emily is a wolf. It is highly likely that John moved to the office. | It is unlikely that 'John moved to the office and Emily is a wolf'. | It is unlikely that 'John moved to the office and Emily is a wolf'. | It is highly likely that 'John moved to the office 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.
0.25::factB.
0.9::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| unlikely | highly likely | 'John moved to the office and Emily is a wolf'. | 1invalid
| 3,445 | 0.225 |
Chances are about even that Bernhard is a swan. There is almost no chance that Bill went to the garden. It is impossible that Brian is yellow. | Chances are about even that either 'Bernhard is a swan' or 'Brian is yellow' but not both. | Chances are about even that either 'Bernhard is a swan' or 'Brian is yellow' but not both. | It is certain that either 'Bernhard is a swan' 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.
0.0::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| about even | certain | Either 'Bernhard is a swan' or 'Brian is yellow' but not both. | 1invalid
| 3,446 | 0.5 |
We doubt that Greg is a frog. We believe that Jeff went to the bedroom. It is probably the case that Bernhard is a lion. | It is improbable that 'Bernhard is a lion' or 'Greg is a frog' or both. | We believe that 'Bernhard is a lion' or 'Greg is a frog' or both. | It is improbable that 'Bernhard is a lion' or 'Greg 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.
0.75::factB.
0.7::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| we believe | improbable | 'Bernhard is a lion' or 'Greg is a frog' or both. | 0valid
| 3,447 | 0.76 |
It is probable that Gertrude is a mouse. There is a better than even chance that Julius is white. Chances are about even that Brian is a frog. | It is almost certain that either 'Julius is white' or 'Gertrude is a mouse' but not both. | Chances are about even that either 'Julius is white' or 'Gertrude is a mouse' but not both. | It is almost certain that either 'Julius is white' or 'Gertrude is a mouse' 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.
0.6::factB.
0.5::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| about even | almost certain | Either 'Julius is white' or 'Gertrude is a mouse' but not both. | 0valid
| 3,448 | 0.46 |
It is likely that Julius is yellow. There is a very good chance that Bernhard is a frog. We believe that Mary left the milk. | There is a better than even chance that 'Bernhard is a frog and Julius is yellow'. | There is a better than even chance that 'Bernhard is a frog and Julius is yellow'. | It is improbable that 'Bernhard is a frog 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
0.7::factA.
0.8::factB.
0.75::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| better than even | improbable | 'Bernhard is a frog and Julius is yellow'. | 1invalid
| 3,449 | 0.56 |
It is certain that Greg is a frog. It is likely that Bernhard is a swan. There is a very good chance that Bill moved to the office. | It is unlikely that 'Bill moved to the office' or 'Greg is a frog' or both. | It is certain that 'Bill moved to the office' or 'Greg is a frog' or both. | It is unlikely that 'Bill moved to the office' or 'Greg 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
1.0::factA.
0.7::factB.
0.8::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| certain | unlikely | 'Bill moved to the office' or 'Greg is a frog' or both. | 0valid
| 3,450 | 1 |
It is unlikely that Lily is a swan. Chances are slight that Sandra got the football. It is highly likely that John discarded the milk. | It is impossible that either 'Lily is a swan' or 'John discarded the milk' but not both. | We believe that either 'Lily is a swan' or 'John discarded the milk' but not both. | It is impossible that either 'Lily is a swan' or 'John discarded 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.
0.1::factB.
0.9::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| we believe | impossible | Either 'Lily is a swan' or 'John discarded the milk' but not both. | 0valid
| 3,451 | 0.74 |
It is unlikely that Gertrude is a cat. Chances are about even that Bill went to the garden. There is almost no chance that Sandra left the milk. | Chances are about even that 'Sandra left the milk' or 'Bill went to the garden' or both. | Chances are about even that 'Sandra left the milk' or 'Bill went to the garden' or both. | There is almost no chance that 'Sandra left the milk' or 'Bill 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
0.2::factA.
0.5::factB.
0.02::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| about even | almost no chance | 'Sandra left the milk' or 'Bill went to the garden' or both. | 1invalid
| 3,452 | 0.51 |
There is almost no chance that Bernhard is a rhino. There is almost no chance that Greg is a swan. It is probable that Brian is green. | It is probable that either 'Brian is green' or 'Bernhard is a rhino' but not both. | It is probable that either 'Brian is green' or 'Bernhard is a rhino' but not both. | It is highly unlikely that either 'Brian is green' or 'Bernhard 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
0.02::factA.
0.02::factB.
0.7::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| probable | highly unlikely | Either 'Brian is green' or 'Bernhard is a rhino' but not both. | 1invalid
| 3,453 | 0.692 |
There is almost no chance that Lily is a lion. There is a better than even chance that Julius is a frog. It is probably the case that Sandra left the football. | There is a better than even chance that 'Julius is a frog' or 'Lily is a lion' or both. | There is a better than even chance that 'Julius is a frog' or 'Lily is a lion' or both. | It is improbable that 'Julius is a frog' or 'Lily 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
0.02::factA.
0.6::factB.
0.7::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| better than even | improbable | 'Julius is a frog' or 'Lily is a lion' or both. | 1invalid
| 3,454 | 0.608 |
There is little chance that Fred went to the garden. It is highly likely that Julius is a lion. There is a better than even chance that Mary dropped the apple. | There is little chance that 'Julius is a lion and Fred went to the garden'. | There is little chance that 'Julius is a lion and Fred went to the garden'. | There is a very good chance that 'Julius is a lion and Fred 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.
0.9::factB.
0.6::factC.
%hop2
conclusion:-and(factB,factA).
query(conclusion).
| little chance | very good chance | 'Julius is a lion and Fred went to the garden'. | 1invalid
| 3,455 | 0.09 |
There is almost no chance that Mary went to the office. Chances are slight that Lily is a rhino. We doubt that Sandra left the milk. | It is probably not the case that either 'Lily is a rhino' or 'Sandra left the milk' but not both. | It is probably not the case that either 'Lily is a rhino' or 'Sandra left the milk' but not both. | It is probable that either 'Lily is a rhino' or 'Sandra 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
0.02::factA.
0.1::factB.
0.2::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| probably not | probable | Either 'Lily is a rhino' or 'Sandra left the milk' but not both. | 1invalid
| 3,456 | 0.26 |
It is highly likely that John moved to the office. Chances are about even that Jessica is a cat. It is probably the case that Mary picked up the milk. | We doubt that 'John moved to the office' or 'Jessica is a cat' or both. | It is almost certain that 'John moved to the office' or 'Jessica is a cat' or both. | We doubt that 'John moved to the office' 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
0.9::factA.
0.5::factB.
0.7::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| almost certain | we doubt | 'John moved to the office' or 'Jessica is a cat' or both. | 0valid
| 3,457 | 0.95 |
It is unlikely that Mary is in the hallway. It is unlikely that Jeff discarded the milk. There is little chance that Lily is white. | It is probably not the case that either 'Mary is in the hallway' or 'Lily is white' but not both. | It is probably not the case that either 'Mary is in the hallway' or 'Lily is white' but not both. | It is likely that either 'Mary is in 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
0.2::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-xor(factA,factC).
query(conclusion).
| probably not | likely | Either 'Mary is in the hallway' or 'Lily is white' but not both. | 1invalid
| 3,458 | 0.26 |
We believe that Gertrude is a cat. It is almost certain that John took the apple. It is likely that Yann is hungry. | It is probably not the case that either 'Yann is hungry' or 'John took the apple' but not both. | It is probably not the case that either 'Yann is hungry' or 'John took the apple' but not both. | There is a very good chance that either 'Yann is hungry' or 'John took 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
0.75::factA.
0.95::factB.
0.7::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| probably not | very good chance | Either 'Yann is hungry' or 'John took the apple' but not both. | 1invalid
| 3,459 | 0.32 |
It is likely that Julius is a lion. It is unlikely that Bernhard is white. It is unlikely that John got the milk. | It is highly unlikely that 'John got the milk and Bernhard is white'. | It is highly unlikely that 'John got the milk and Bernhard is white'. | It is probably the case that 'John got the milk 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
0.7::factA.
0.2::factB.
0.2::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| highly unlikely | probably | 'John got the milk and Bernhard is white'. | 1invalid
| 3,460 | 0.04 |
It is likely that John went to the kitchen. We doubt that Mary left the apple. Chances are slight that Greg is a rhino. | There is almost no chance that 'Greg is a rhino and Mary left the apple'. | There is almost no chance that 'Greg is a rhino and Mary left the apple'. | It is certain that 'Greg is a rhino and Mary 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.
0.2::factB.
0.1::factC.
%hop2
conclusion:-and(factC,factB).
query(conclusion).
| almost no chance | certain | 'Greg is a rhino and Mary left the apple'. | 1invalid
| 3,461 | 0.02 |
It is highly unlikely that Brian is white. We doubt that John moved to the office. It is probable that Greg is gray. | Chances are slight that 'Brian is white' or 'Greg is gray' or both. | It is probable that 'Brian is white' or 'Greg is gray' or both. | Chances are slight that 'Brian is white' or 'Greg 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
0.05::factA.
0.2::factB.
0.7::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| probable | chances are slight | 'Brian is white' or 'Greg is gray' or both. | 0valid
| 3,462 | 0.715 |
It is likely that Mary got the milk. We doubt that Bernhard is green. It is unlikely that Brian is a rhino. | There is a very good chance that 'Mary got the milk and Bernhard is green'. | There is little chance that 'Mary got the milk and Bernhard is green'. | There is a very good chance that 'Mary got the milk 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
0.7::factA.
0.2::factB.
0.2::factC.
%hop2
conclusion:-and(factA,factB).
query(conclusion).
| little chance | very good chance | 'Mary got the milk and Bernhard is green'. | 0valid
| 3,463 | 0.14 |
It is probably the case that Greg is gray. It is highly likely that Lily is a lion. We doubt that John went to the bedroom. | There is little chance that 'John went to the bedroom and Greg is gray'. | There is little chance that 'John went to the bedroom and Greg is gray'. | It is likely that 'John went to the bedroom and Greg 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
0.7::factA.
0.9::factB.
0.2::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| little chance | likely | 'John went to the bedroom and Greg is gray'. | 1invalid
| 3,464 | 0.14 |
There is almost no chance that Brian is green. We doubt that John put down the milk. We doubt that Jeff left the football. | It is probable that either 'John put down the milk' or 'Jeff left the football' but not both. | It is probably not the case that either 'John put down the milk' or 'Jeff left the football' but not both. | It is probable that either 'John put down the milk' 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
0.02::factA.
0.2::factB.
0.2::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| probably not | probable | Either 'John put down the milk' or 'Jeff left the football' but not both. | 0valid
| 3,465 | 0.32 |
There is little chance that Lily is green. Chances are slight that Jeff went to the garden. It is impossible that Sandra got the milk. | It is almost certain that 'Lily is green' or 'Jeff went to the garden' or both. | It is unlikely that 'Lily is green' or 'Jeff went to the garden' or both. | It is almost certain that 'Lily is green' or 'Jeff 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.
0.1::factB.
0.0::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| unlikely | almost certain | 'Lily is green' or 'Jeff went to the garden' or both. | 0valid
| 3,466 | 0.19 |
It is almost certain that Mary discarded the milk. Chances are about even that Brian is yellow. It is probably not the case that John took the football. | It is highly unlikely that either 'John took the football' or 'Mary discarded the milk' but not both. | We believe that either 'John took the football' or 'Mary discarded the milk' but not both. | It is highly unlikely that either 'John took the football' or 'Mary discarded 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
0.95::factA.
0.5::factB.
0.25::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| we believe | highly unlikely | Either 'John took the football' or 'Mary discarded the milk' but not both. | 0valid
| 3,467 | 0.725 |
It is highly unlikely that Greg is a frog. It is almost certain that Sandra took the milk. It is unlikely that Lily is gray. | It is highly likely that either 'Greg is a frog' or 'Sandra took the milk' but not both. | It is highly likely that either 'Greg is a frog' or 'Sandra took the milk' but not both. | It is probably not the case that either 'Greg is a frog' or 'Sandra 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
0.05::factA.
0.95::factB.
0.2::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| highly likely | probably not | Either 'Greg is a frog' or 'Sandra took the milk' but not both. | 1invalid
| 3,468 | 0.905 |
It is certain that Jeff left the apple. We believe that Greg is yellow. There is a very good chance that Bill went to the kitchen. | We doubt that either 'Bill went to the kitchen' or 'Jeff left the apple' but not both. | We doubt that either 'Bill went to the kitchen' or 'Jeff left the apple' but not both. | It is probably the case that either 'Bill went to the kitchen' 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
1.0::factA.
0.75::factB.
0.8::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| we doubt | probably | Either 'Bill went to the kitchen' or 'Jeff left the apple' but not both. | 1invalid
| 3,469 | 0.2 |
It is almost certain that Daniel dropped the apple. It is highly likely that Lily is yellow. There is almost no chance that Brian is white. | It is almost certain that 'Brian is white' or 'Daniel dropped the apple' or both. | It is almost certain that 'Brian is white' or 'Daniel dropped the apple' or both. | It is highly unlikely that 'Brian is white' or 'Daniel 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
0.95::factA.
0.9::factB.
0.02::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| almost certain | highly unlikely | 'Brian is white' or 'Daniel dropped the apple' or both. | 1invalid
| 3,470 | 0.951 |
We doubt that Fred moved to the office. There is little chance that Julius is a lion. It is improbable that Greg is gray. | It is likely that 'Greg is gray' or 'Fred moved to the office' or both. | It is probably not the case that 'Greg is gray' or 'Fred moved to the office' or both. | It is likely that 'Greg is gray' 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.
0.1::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factA).
query(conclusion).
| probably not | likely | 'Greg is gray' or 'Fred moved to the office' or both. | 0valid
| 3,471 | 0.28 |
It is probable that Emily is a mouse. It is probable that John dropped the milk. It is improbable that Bernhard is a frog. | We believe that 'Emily is a mouse' or 'Bernhard is a frog' or both. | We believe that 'Emily is a mouse' or 'Bernhard is a frog' or both. | Chances are slight that 'Emily is a mouse' 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
0.7::factA.
0.7::factB.
0.1::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| we believe | chances are slight | 'Emily is a mouse' or 'Bernhard is a frog' or both. | 1invalid
| 3,472 | 0.73 |
It is improbable that Lily is a lion. It is almost certain that Greg is a swan. We believe that Julius is gray. | There is almost no chance that either 'Lily is a lion' or 'Greg is a swan' but not both. | It is highly likely that either 'Lily is a lion' or 'Greg is a swan' but not both. | There is almost no chance that either 'Lily is a lion' 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
0.1::factA.
0.95::factB.
0.75::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| highly likely | almost no chance | Either 'Lily is a lion' or 'Greg is a swan' but not both. | 0valid
| 3,473 | 0.86 |
It is unlikely that Brian is gray. We believe that Gertrude is a mouse. It is highly unlikely that Bernhard is a swan. | It is likely that either 'Brian is gray' or 'Gertrude is a mouse' but not both. | It is likely that either 'Brian is gray' or 'Gertrude is a mouse' but not both. | It is improbable that either 'Brian is gray' or 'Gertrude is a mouse' 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.
0.05::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| likely | improbable | Either 'Brian is gray' or 'Gertrude is a mouse' but not both. | 1invalid
| 3,474 | 0.65 |
It is likely that Mary moved to the garden. There is a very good chance that Lily is green. It is certain that Daniel left the apple. | It is improbable that 'Mary moved to the garden and Daniel left the apple'. | It is likely that 'Mary moved to the garden and Daniel left the apple'. | It is improbable that 'Mary moved to the garden and Daniel 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.
1.0::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| likely | improbable | 'Mary moved to the garden and Daniel left the apple'. | 0valid
| 3,475 | 0.7 |
It is impossible that John went to the office. It is likely that Lily is a lion. It is unlikely that Jessica is a mouse. | It is unlikely that 'Lily is a lion' or 'John went to the office' or both. | It is likely that 'Lily is a lion' or 'John went to the office' or both. | It is unlikely that 'Lily is a lion' 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
0.0::factA.
0.7::factB.
0.2::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| likely | unlikely | 'Lily is a lion' or 'John went to the office' or both. | 0valid
| 3,476 | 0.7 |
It is almost certain that John put down the apple. It is almost certain that Julius is a rhino. It is unlikely that Bernhard is a swan. | It is almost certain that 'Julius is a rhino and Bernhard is a swan'. | We doubt that 'Julius is a rhino and Bernhard is a swan'. | It is almost certain that 'Julius is a rhino and Bernhard 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
0.95::factA.
0.95::factB.
0.2::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| we doubt | almost certain | 'Julius is a rhino and Bernhard is a swan'. | 0valid
| 3,477 | 0.19 |
It is certain that Mary went to the garden. It is certain that John grabbed the apple. There is little chance that Sumit is hungry. | It is certain that 'John grabbed the apple' or 'Sumit is hungry' or both. | It is certain that 'John grabbed the apple' or 'Sumit is hungry' or both. | Chances are about even that 'John grabbed the apple' or 'Sumit 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
1.0::factA.
1.0::factB.
0.1::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| certain | about even | 'John grabbed the apple' or 'Sumit is hungry' or both. | 1invalid
| 3,478 | 1 |
It is highly likely that Sandra left the milk. We doubt that Lily is gray. It is probably the case that Mary went to the bedroom. | We doubt that either 'Lily is gray' or 'Sandra left the milk' but not both. | We believe that either 'Lily is gray' or 'Sandra left the milk' but not both. | We doubt that either 'Lily is gray' or 'Sandra 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.
0.7::factC.
%hop2
conclusion:-xor(factB,factA).
query(conclusion).
| we believe | we doubt | Either 'Lily is gray' or 'Sandra left the milk' but not both. | 0valid
| 3,479 | 0.74 |
There is a better than even chance that Mary went to the garden. It is highly likely that Daniel took the milk. There is a better than even chance that Greg is white. | It is almost certain that 'Greg is white' or 'Daniel took the milk' or both. | It is almost certain that 'Greg is white' or 'Daniel took the milk' or both. | It is highly unlikely that 'Greg is white' or 'Daniel took 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.
0.9::factB.
0.6::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| almost certain | highly unlikely | 'Greg is white' or 'Daniel took the milk' or both. | 1invalid
| 3,480 | 0.96 |
We doubt that John moved to the office. It is certain that Greg is green. It is certain that Yann is tired. | We doubt that 'John moved to the office and Yann is tired'. | We doubt that 'John moved to the office and Yann is tired'. | It is almost certain that 'John moved to the office and Yann is tired'. |
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.
1.0::factB.
1.0::factC.
%hop2
conclusion:-and(factA,factC).
query(conclusion).
| we doubt | almost certain | 'John moved to the office and Yann is tired'. | 1invalid
| 3,481 | 0.2 |
There is almost no chance that Winona is a mouse. It is unlikely that Julius is white. It is almost certain that Bernhard is a swan. | It is unlikely that 'Julius is white and Bernhard is a swan'. | It is unlikely that 'Julius is white and Bernhard is a swan'. | It is likely that 'Julius is white and Bernhard 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
0.02::factA.
0.2::factB.
0.95::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| unlikely | likely | 'Julius is white and Bernhard is a swan'. | 1invalid
| 3,482 | 0.19 |
It is improbable that Fred dropped the milk. It is unlikely that Brian is a lion. Chances are slight that Mary left the milk. | It is probably not the case that 'Mary left the milk' or 'Brian is a lion' or both. | It is probably not the case that 'Mary left the milk' or 'Brian is a lion' or both. | It is almost certain that 'Mary left the milk' 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
0.1::factA.
0.2::factB.
0.1::factC.
%hop2
conclusion:-or(factC,factB).
query(conclusion).
| probably not | almost certain | 'Mary left the milk' or 'Brian is a lion' or both. | 1invalid
| 3,483 | 0.28 |
It is highly unlikely that Brian is a swan. It is unlikely that Mary dropped the milk. Chances are about even that Greg is a rhino. | It is probable that 'Mary dropped the milk' or 'Brian is a swan' or both. | It is probably not the case that 'Mary dropped the milk' or 'Brian is a swan' or both. | It is probable that 'Mary dropped the milk' or 'Brian 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.
0.5::factC.
%hop2
conclusion:-or(factB,factA).
query(conclusion).
| probably not | probable | 'Mary dropped the milk' or 'Brian is a swan' or both. | 0valid
| 3,484 | 0.24 |
It is highly unlikely that Winona is a wolf. We believe that John moved to the garden. There is almost no chance that Lily is green. | There is almost no chance that 'John moved to the garden and Lily is green'. | There is almost no chance that 'John moved to the garden and Lily is green'. | There is a better than even chance that 'John moved to the garden and Lily 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
0.05::factA.
0.75::factB.
0.02::factC.
%hop2
conclusion:-and(factB,factC).
query(conclusion).
| almost no chance | better than even | 'John moved to the garden and Lily is green'. | 1invalid
| 3,485 | 0.015 |
We believe that John went to the hallway. It is highly likely that Greg is a rhino. There is a better than even chance that Brian is a frog. | It is highly unlikely that 'Greg is a rhino' or 'Brian is a frog' or both. | It is almost certain that 'Greg is a rhino' or 'Brian is a frog' or both. | It is highly unlikely that 'Greg is a rhino' or 'Brian 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
0.75::factA.
0.9::factB.
0.6::factC.
%hop2
conclusion:-or(factB,factC).
query(conclusion).
| almost certain | highly unlikely | 'Greg is a rhino' or 'Brian is a frog' or both. | 0valid
| 3,486 | 0.96 |
It is almost certain that Brian is a lion. It is highly unlikely that Julius is a frog. It is highly likely that Mary discarded the milk. | It is improbable that 'Mary discarded the milk and Brian is a lion'. | It is highly likely that 'Mary discarded the milk and Brian is a lion'. | It is improbable that 'Mary discarded the milk and Brian 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.
0.05::factB.
0.9::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| highly likely | improbable | 'Mary discarded the milk and Brian is a lion'. | 0valid
| 3,487 | 0.855 |
It is highly likely that John discarded the apple. It is probably not the case that Fred went to the garden. It is probably not the case that Bernhard is yellow. | It is unlikely that either 'John discarded the apple' or 'Fred went to the garden' but not both. | It is probable that either 'John discarded the apple' or 'Fred went to the garden' but not both. | It is unlikely that either 'John discarded the apple' or 'Fred 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
0.9::factA.
0.25::factB.
0.25::factC.
%hop2
conclusion:-xor(factA,factB).
query(conclusion).
| probable | unlikely | Either 'John discarded the apple' or 'Fred went to the garden' but not both. | 0valid
| 3,488 | 0.7 |
We doubt that Mary dropped the milk. Chances are about even that Bernhard is gray. It is probable that Lily is a rhino. | We believe that 'Mary dropped the milk' or 'Lily is a rhino' or both. | We believe that 'Mary dropped the milk' or 'Lily is a rhino' or both. | It is improbable that 'Mary dropped 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.
0.5::factB.
0.7::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| we believe | improbable | 'Mary dropped the milk' or 'Lily is a rhino' or both. | 1invalid
| 3,489 | 0.76 |
We believe that Brian is a frog. It is probably not the case that Mary went to the bedroom. It is almost certain that John put down the apple. | It is probably not the case that either 'John put down the apple' or 'Brian is a frog' but not both. | It is probably not the case that either 'John put down the apple' or 'Brian is a frog' but not both. | There is a very good chance that either 'John put down the apple' 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
0.75::factA.
0.25::factB.
0.95::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| probably not | very good chance | Either 'John put down the apple' or 'Brian is a frog' but not both. | 1invalid
| 3,490 | 0.275 |
It is improbable that Julius is a frog. It is probable that Greg is yellow. It is probably not the case that Brian is a rhino. | We believe that 'Julius is a frog' or 'Greg is yellow' or both. | We believe that 'Julius is a frog' or 'Greg is yellow' or both. | It is improbable that 'Julius is a frog' or 'Greg 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.
0.25::factC.
%hop2
conclusion:-or(factA,factB).
query(conclusion).
| we believe | improbable | 'Julius is a frog' or 'Greg is yellow' or both. | 1invalid
| 3,491 | 0.73 |
Chances are slight that Greg is yellow. It is almost certain that Mary got the milk. We believe that Brian is green. | There is a very good chance that either 'Mary got the milk' or 'Brian is green' but not both. | It is probably not the case that either 'Mary got the milk' or 'Brian is green' but not both. | There is a very good chance that either 'Mary got the milk' or 'Brian 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
0.1::factA.
0.95::factB.
0.75::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| probably not | very good chance | Either 'Mary got the milk' or 'Brian is green' but not both. | 0valid
| 3,492 | 0.275 |
It is impossible that Sandra dropped the milk. It is improbable that Mary went to the kitchen. It is probable that John moved to the garden. | It is likely that 'Sandra dropped the milk' or 'John moved to the garden' or both. | It is likely that 'Sandra dropped the milk' or 'John moved to the garden' or both. | We doubt that 'Sandra dropped the milk' or 'John moved 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
0.0::factA.
0.1::factB.
0.7::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| likely | we doubt | 'Sandra dropped the milk' or 'John moved to the garden' or both. | 1invalid
| 3,493 | 0.7 |
There is a very good chance that John put down the apple. It is certain that Daniel took the milk. Chances are about even that Greg is a frog. | It is highly unlikely that either 'Daniel took the milk' or 'Greg is a frog' but not both. | Chances are about even that either 'Daniel took the milk' or 'Greg is a frog' but not both. | It is highly unlikely that either 'Daniel took the milk' 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
0.8::factA.
1.0::factB.
0.5::factC.
%hop2
conclusion:-xor(factB,factC).
query(conclusion).
| about even | highly unlikely | Either 'Daniel took the milk' or 'Greg is a frog' but not both. | 0valid
| 3,494 | 0.5 |
There is a better than even chance that Julius is green. It is probably not the case that Brian is a swan. We doubt that Mary left the apple. | There is a better than even chance that either 'Mary left the apple' or 'Julius is green' but not both. | There is a better than even chance that either 'Mary left the apple' or 'Julius is green' but not both. | There is almost no chance that either 'Mary left the apple' or 'Julius 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
0.6::factA.
0.25::factB.
0.2::factC.
%hop2
conclusion:-xor(factC,factA).
query(conclusion).
| better than even | almost no chance | Either 'Mary left the apple' or 'Julius is green' but not both. | 1invalid
| 3,495 | 0.56 |
It is unlikely that Lily is a swan. We doubt that John left the milk. It is probably the case that Brian is a rhino. | Chances are slight that 'Brian is a rhino and Lily is a swan'. | Chances are slight that 'Brian is a rhino and Lily is a swan'. | It is certain that 'Brian is a rhino and Lily 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.
0.2::factB.
0.7::factC.
%hop2
conclusion:-and(factC,factA).
query(conclusion).
| chances are slight | certain | 'Brian is a rhino and Lily is a swan'. | 1invalid
| 3,496 | 0.14 |
It is highly unlikely that Daniel left the milk. It is probably the case that Lily is a swan. We believe that Emily is a mouse. | We believe that 'Daniel left the milk' or 'Emily is a mouse' or both. | We believe that 'Daniel left the milk' or 'Emily is a mouse' or both. | We doubt that 'Daniel left the milk' or 'Emily 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
0.05::factA.
0.7::factB.
0.75::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| we believe | we doubt | 'Daniel left the milk' or 'Emily is a mouse' or both. | 1invalid
| 3,497 | 0.7625 |
There is little chance that Brian is green. Chances are about even that Mary went to the hallway. There is almost no chance that Greg is gray. | It is almost certain that 'Brian is green' or 'Greg is gray' or both. | There is little chance that 'Brian is green' or 'Greg is gray' or both. | It is almost certain that 'Brian is green' or 'Greg 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
0.1::factA.
0.5::factB.
0.02::factC.
%hop2
conclusion:-or(factA,factC).
query(conclusion).
| little chance | almost certain | 'Brian is green' or 'Greg is gray' or both. | 0valid
| 3,498 | 0.118 |
It is impossible that Greg is a rhino. There is almost no chance that Daniel took the apple. It is impossible that Bernhard is yellow. | It is highly likely that either 'Bernhard is yellow' or 'Daniel took the apple' but not both. | There is almost no chance that either 'Bernhard is yellow' or 'Daniel took the apple' but not both. | It is highly likely that either 'Bernhard is yellow' or 'Daniel took 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.
0.02::factB.
0.0::factC.
%hop2
conclusion:-xor(factC,factB).
query(conclusion).
| almost no chance | highly likely | Either 'Bernhard is yellow' or 'Daniel took the apple' but not both. | 0valid
| 3,499 | 0.02 |