What is the connection between Andrew Johnson and Rutherford B. Hayes?

What is a description in English of the connection (conceptual, causal, situational or otherwise) between the group of objects: Andrew Johnson (December 29, 1808 � July 31 1875), the seventeenth President of the United States (1865�1869) and Rutherford Birchard Hayes (October 4, 1822 - January 17, 1893), the American politician, lawyer, military leader and the nineteenth President of the United States (1877-1881)?

Facts Show facts

Show reasoning Reasoning

I followed this chain of reasoning:

By calculation (generator: ["now@trueknowledge.com"]) I know that:
The current time is May 23rd 2013, 01:57:45

I know from locally stored knowledge that:
Andrew Johnson is the president of the United States ([fact: ["1148203@trueknowledge.com"]])

Rutherford B. Hayes is the president of the United States ([fact: ["1153861@trueknowledge.com"]])

Andrew Johnson is employed by the United States ([fact: ["153777285@trueknowledge.com"]])

Rutherford B. Hayes is employed by the United States ([fact: ["378040419@trueknowledge.com"]])

Andrew Johnson commonly translates as "Andrew Johnson" ([fact: ["1148194@trueknowledge.com"]])

By calculation (generator: ["translates_for_answers1@trueknowledge.com"]) I know that:
Andrew Johnson translates for answers as "Andrew Johnson"

I know from locally stored knowledge that:
Rutherford B. Hayes commonly translates as "Rutherford B. Hayes" ([fact: ["1153830@trueknowledge.com"]])

By calculation (generator: ["translates_for_answers1@trueknowledge.com"]) I know that:
Rutherford B. Hayes translates for answers as "Rutherford B. Hayes"

I know from locally stored knowledge that:
is the president of commonly translates as "is the president of" ([fact: ["1132073@trueknowledge.com"]])

the United States commonly translates as "the United States" ([fact: ["1158415@trueknowledge.com"]])

By calculation (generator: ["translates_for_answers1@trueknowledge.com"]) I know that:
the United States translates for answers as "the United States"

By calculation (generator: ["connection_description@trueknowledge.com"]) I know that:
Fact 1: Andrew Johnson and Rutherford B. Hayes were both the president of the United States. is an English description of the connection between Andrew Johnson and Rutherford B. Hayes

By calculation (generator: ["truenow1@trueknowledge.com"]) I know that:
Fact 1 is true at May 23rd 2013, 01:57:45

I know from locally stored knowledge that:
true now applies to is an English description of the connection between ([fact: ["1465137234@trueknowledge.com"]])

I used the following facts to provide this answer:

Andrew Johnson is or has been the president of the United States

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Rutherford B. Hayes is or has been the president of the United States

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Andrew Johnson is or has been employed by the United States

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Rutherford B. Hayes is or has been employed by the United States

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Andrew Johnson is having the relationship 'commonly translates as' with "Andrew Johnson"

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Rutherford B. Hayes is having the relationship 'commonly translates as' with "Rutherford B. Hayes"

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'is the president of' is having the relationship 'commonly translates as' with "is the president of"

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the United States is having the relationship 'commonly translates as' with "the United States"

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'is an English description of the connection between' is true now

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