| Abstract | .... 2 | |
| 1 | Introduction | .... 2 |
| 2 | Preliminaries | .... 3 |
| 3 | Orientation-free rewrite rules | .... 3 |
| 4 | Inference rules for ground completion | .... 4 |
| 5 | Inference rules for inductive theorem proving | .... 5 |
| 6 | Detecting infinite execution | .... 6 |
| 7 | Implementation | .... 7 |
| 8 | Experiments | .... 8 |
| 8.1 | Addtion and multiplication of natural numbers | .... 8 |
| 8.2 | Append and reverse operations | .... 10 |
| Acknowledgements | .... 11 | |
| References | .... 12 |
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