MAYBE Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

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0(0(0(0(0(1(0(0(0(0(1(1(0(0(0(1(0(0(1(1(x0)))))))))))))))))))) 0(1(0(0(1(0(0(0(0(1(1(1(0(1(0(0(1(1(1(1(x0))))))))))))))))))))
0(0(0(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(0(1(x0)))))))))))))))))))) 0(1(0(0(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(x0))))))))))))))))))))
0(0(0(0(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(0(x0)))))))))))))))))))) 0(0(0(1(1(1(0(0(0(1(1(0(0(0(0(1(0(0(1(0(x0))))))))))))))))))))
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0(0(0(1(0(0(1(0(1(1(1(1(1(1(1(0(0(0(1(1(x0)))))))))))))))))))) 0(0(0(1(1(0(1(1(1(1(0(0(1(0(1(1(0(1(1(1(x0))))))))))))))))))))
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1(1(0(0(0(1(0(0(1(1(0(1(1(1(0(0(0(0(1(0(x0)))))))))))))))))))) 1(1(0(0(0(1(0(0(1(0(0(0(1(1(1(1(0(0(1(0(x0))))))))))))))))))))
1(1(0(0(1(0(0(1(1(1(1(0(1(1(1(0(0(1(1(0(x0)))))))))))))))))))) 1(1(0(0(0(1(1(1(1(1(0(0(0(1(0(1(0(1(1(0(x0))))))))))))))))))))
1(1(0(0(1(0(1(1(0(1(1(0(1(0(1(1(0(1(1(1(x0)))))))))))))))))))) 1(1(1(0(0(1(1(0(1(1(0(1(0(1(0(1(0(1(1(1(x0))))))))))))))))))))
1(1(0(0(1(1(1(0(0(0(0(0(1(0(0(0(0(1(1(0(x0)))))))))))))))))))) 0(1(0(1(0(1(0(0(0(1(1(1(0(1(0(0(0(0(1(0(x0))))))))))))))))))))
1(1(0(0(1(1(1(1(0(1(0(1(0(1(1(0(0(1(1(1(x0)))))))))))))))))))) 1(1(0(1(1(0(0(0(0(1(0(1(0(1(1(1(0(1(0(1(x0))))))))))))))))))))
1(1(0(0(1(1(1(1(1(0(0(1(0(1(1(0(1(1(0(1(x0)))))))))))))))))))) 1(0(0(1(0(0(1(0(0(1(1(1(0(0(0(1(0(0(0(1(x0))))))))))))))))))))
1(1(0(1(0(0(0(1(1(0(1(1(0(1(1(0(0(0(1(1(x0)))))))))))))))))))) 1(1(0(1(0(0(1(0(1(1(1(0(0(0(0(0(1(0(1(1(x0))))))))))))))))))))
1(1(0(1(0(0(1(1(1(0(0(1(1(0(0(0(1(0(0(0(x0)))))))))))))))))))) 1(0(1(1(0(0(0(0(0(0(1(1(1(0(1(0(1(0(1(0(x0))))))))))))))))))))
1(1(0(1(0(0(1(1(1(1(1(1(0(0(1(1(0(0(0(0(x0)))))))))))))))))))) 1(0(0(0(0(1(0(1(1(1(0(1(1(1(0(1(1(1(1(0(x0))))))))))))))))))))
1(1(0(1(1(0(1(0(0(0(1(1(1(1(0(0(1(1(1(1(x0)))))))))))))))))))) 1(1(0(1(1(0(0(0(0(1(1(1(0(1(0(0(1(1(0(1(x0))))))))))))))))))))
1(1(0(1(1(1(0(0(0(0(0(0(0(1(1(1(0(0(1(0(x0)))))))))))))))))))) 1(1(1(0(0(1(0(1(1(1(1(1(1(1(1(1(0(0(1(0(x0))))))))))))))))))))
1(1(1(0(0(0(1(1(0(0(1(1(0(0(0(1(1(0(0(1(x0)))))))))))))))))))) 1(0(1(1(1(0(1(1(1(1(1(1(0(1(0(1(1(1(0(1(x0))))))))))))))))))))
1(1(1(0(0(1(1(1(1(0(1(0(0(1(1(0(0(0(1(1(x0)))))))))))))))))))) 1(1(0(1(0(0(1(1(1(1(1(1(0(0(0(1(0(0(1(1(x0))))))))))))))))))))
1(1(1(0(1(1(0(0(1(1(1(0(1(0(1(1(0(0(0(1(x0)))))))))))))))))))) 1(1(1(0(0(1(0(1(1(0(1(0(1(1(1(0(0(0(0(1(x0))))))))))))))))))))
1(1(1(0(1(1(1(0(1(0(1(1(0(0(0(0(1(1(1(0(x0)))))))))))))))))))) 1(1(0(1(0(1(0(0(0(1(0(1(0(0(1(0(1(1(0(0(x0))))))))))))))))))))

Proof

1 Termination Assumption

We assume termination of the following TRS
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0(0(0(0(0(0(1(0(1(1(0(0(1(1(1(1(0(1(1(1(x0)))))))))))))))))))) 0(0(0(1(0(0(0(0(0(0(1(1(1(0(1(1(0(0(1(1(x0))))))))))))))))))))
0(0(0(0(0(1(0(0(0(0(1(1(0(0(0(1(0(0(1(1(x0)))))))))))))))))))) 0(1(0(0(1(0(0(0(0(1(1(1(0(1(0(0(1(1(1(1(x0))))))))))))))))))))
0(0(0(0(0(1(1(0(0(1(1(0(0(1(1(1(0(1(0(1(x0)))))))))))))))))))) 0(1(0(0(0(0(1(0(0(0(0(1(0(1(0(0(0(1(1(1(x0))))))))))))))))))))
0(0(0(0(0(1(1(0(0(1(1(1(0(1(0(0(0(0(1(0(x0)))))))))))))))))))) 0(0(0(1(1(1(0(0(0(1(1(0(0(0(0(1(0(0(1(0(x0))))))))))))))))))))
0(0(0(0(1(0(0(0(1(0(0(1(1(1(0(0(0(1(0(0(x0)))))))))))))))))))) 0(1(0(1(1(0(0(0(1(1(1(1(0(1(1(1(0(1(0(0(x0))))))))))))))))))))
0(0(0(1(0(0(1(0(1(1(1(1(1(1(1(0(0(0(1(1(x0)))))))))))))))))))) 0(0(0(1(1(0(1(1(1(1(0(0(1(0(1(1(0(1(1(1(x0))))))))))))))))))))
0(0(0(1(0(0(1(1(1(0(1(0(1(1(0(1(1(0(1(1(x0)))))))))))))))))))) 0(1(1(0(0(0(1(1(1(0(0(0(1(0(1(0(1(0(1(1(x0))))))))))))))))))))
0(0(0(1(0(1(0(0(0(0(1(0(1(0(1(1(1(0(1(0(x0)))))))))))))))))))) 0(1(1(0(0(1(0(0(1(0(0(1(0(1(1(0(0(0(1(0(x0))))))))))))))))))))
0(0(0(1(0(1(0(0(1(0(1(0(1(0(0(1(1(1(1(0(x0)))))))))))))))))))) 0(0(1(0(0(1(0(0(1(1(0(0(1(0(0(1(0(1(1(0(x0))))))))))))))))))))
0(0(0(1(0(1(0(0(1(1(0(0(1(1(1(0(0(0(1(1(x0)))))))))))))))))))) 0(0(0(1(0(1(1(1(1(0(0(1(0(1(0(0(0(0(1(1(x0))))))))))))))))))))
0(0(0(1(1(0(0(1(0(0(0(0(1(1(0(1(0(0(1(0(x0)))))))))))))))))))) 0(0(0(1(0(0(1(1(1(1(0(0(0(1(0(1(0(0(1(0(x0))))))))))))))))))))
0(0(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(1(0(1(x0)))))))))))))))))))) 0(0(1(0(0(0(1(1(0(0(1(0(0(0(1(1(1(1(1(1(x0))))))))))))))))))))
0(0(0(1(1(0(1(1(0(1(0(0(1(1(1(1(1(1(0(1(x0)))))))))))))))))))) 0(0(1(1(1(1(0(0(1(0(1(1(0(0(0(0(1(1(0(1(x0))))))))))))))))))))
0(0(0(1(1(0(1(1(1(1(1(0(1(0(1(0(1(0(0(1(x0)))))))))))))))))))) 0(1(0(0(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(1(x0))))))))))))))))))))
0(0(1(0(0(0(0(0(0(0(0(1(0(0(0(1(1(1(0(0(x0)))))))))))))))))))) 0(0(0(0(1(1(0(1(0(1(1(0(1(1(1(0(1(1(1(0(x0))))))))))))))))))))
0(0(1(0(0(0(1(1(1(1(1(0(1(1(1(0(1(1(0(0(x0)))))))))))))))))))) 0(1(1(0(0(0(1(1(1(0(0(1(0(0(1(1(1(1(0(0(x0))))))))))))))))))))
0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(0(1(1(1(1(x0)))))))))))))))))))) 0(1(1(0(1(0(1(0(0(0(0(0(1(1(0(0(0(1(0(1(x0))))))))))))))))))))
0(0(1(0(0(1(0(0(0(1(1(1(0(0(0(1(0(0(0(0(x0)))))))))))))))))))) 0(0(1(0(0(0(0(0(1(0(0(0(0(0(1(0(1(0(0(0(x0))))))))))))))))))))
0(0(1(0(0(1(0(1(1(1(0(0(1(0(1(0(0(0(1(1(x0)))))))))))))))))))) 0(0(1(0(0(1(0(1(0(0(1(0(1(0(0(0(0(0(1(1(x0))))))))))))))))))))
0(0(1(0(0(1(1(0(0(0(0(1(1(0(0(0(0(0(0(1(x0)))))))))))))))))))) 0(1(0(1(1(0(0(0(1(1(1(0(1(0(1(1(1(1(1(1(x0))))))))))))))))))))
0(0(1(0(1(1(0(0(0(0(1(0(0(1(1(0(0(0(1(0(x0)))))))))))))))))))) 0(0(1(1(1(0(1(0(1(0(1(0(1(1(0(0(1(1(1(0(x0))))))))))))))))))))
0(0(1(1(0(0(1(0(1(1(0(0(0(0(1(0(1(1(0(1(x0)))))))))))))))))))) 0(0(1(1(0(0(1(0(1(0(0(0(0(1(0(0(1(0(0(1(x0))))))))))))))))))))
0(0(1(1(0(0(1(1(0(1(0(1(1(1(0(0(0(0(0(0(x0)))))))))))))))))))) 0(0(1(0(1(1(1(0(1(1(1(1(0(0(1(0(0(0(0(0(x0))))))))))))))))))))
0(0(1(1(0(1(0(0(0(1(0(1(1(0(0(1(0(1(1(0(x0)))))))))))))))))))) 0(0(1(0(0(1(0(0(0(1(0(1(0(1(1(0(1(1(1(0(x0))))))))))))))))))))
0(0(1(1(0(1(1(0(0(0(0(0(0(0(1(1(0(0(1(0(x0)))))))))))))))))))) 0(0(1(1(0(0(0(0(1(1(1(0(1(0(0(0(0(0(1(0(x0))))))))))))))))))))
0(0(1(1(0(1(1(0(0(0(1(1(0(0(0(1(0(1(1(1(x0)))))))))))))))))))) 0(0(1(1(0(1(0(0(0(1(0(1(1(1(0(0(0(1(1(1(x0))))))))))))))))))))
0(0(1(1(0(1(1(0(0(1(1(1(0(0(1(1(0(1(1(1(x0)))))))))))))))))))) 0(0(1(1(0(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(x0))))))))))))))))))))
0(0(1(1(1(1(0(0(0(1(1(0(0(1(1(1(1(0(1(0(x0)))))))))))))))))))) 0(1(0(0(0(1(0(0(1(1(1(0(0(0(1(1(1(1(1(0(x0))))))))))))))))))))
0(0(1(1(1(1(0(0(1(1(0(0(1(1(1(0(1(0(1(1(x0)))))))))))))))))))) 0(1(0(0(0(0(0(1(1(1(1(1(0(1(0(1(0(0(1(1(x0))))))))))))))))))))
0(0(1(1(1(1(0(1(0(0(1(0(1(1(0(1(1(1(0(0(x0)))))))))))))))))))) 0(1(0(0(1(0(0(0(0(0(1(1(1(1(0(1(0(1(0(0(x0))))))))))))))))))))
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0(1(0(0(0(1(0(1(1(1(0(0(0(0(0(0(1(1(1(1(x0)))))))))))))))))))) 0(1(1(0(0(0(1(0(1(1(1(0(0(1(1(0(0(1(1(1(x0))))))))))))))))))))
0(1(0(0(1(0(1(0(0(0(0(1(1(0(1(1(1(1(1(1(x0)))))))))))))))))))) 0(1(0(0(1(0(0(0(1(1(1(0(1(1(0(0(0(1(1(1(x0))))))))))))))))))))
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0(1(1(1(0(1(1(1(0(1(0(0(1(0(1(1(1(0(0(1(x0)))))))))))))))))))) 0(0(1(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(1(x0))))))))))))))))))))
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