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MizAR 40 for Mizar 40

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arxiv 1310.2805 v1 pith:EURV5ONF submitted 2013-10-10 cs.AI cs.DLcs.LGcs.LOcs.MS

classification cs.AIcs.DLcs.LGcs.LOcs.MS
keywords mizarmethodssecondsachieveallowinganniversaryautomatedautomatically
verification ladder T0 review T1 audit T2 compute T3 formal
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As a present to Mizar on its 40th anniversary, we develop an AI/ATP system that in 30 seconds of real time on a 14-CPU machine automatically proves 40% of the theorems in the latest official version of the Mizar Mathematical Library (MML). This is a considerable improvement over previous performance of large- theory AI/ATP methods measured on the whole MML. To achieve that, a large suite of AI/ATP methods is employed and further developed. We implement the most useful methods efficiently, to scale them to the 150000 formulas in MML. This reduces the training times over the corpus to 1-3 seconds, allowing a simple practical deployment of the methods in the online automated reasoning service for the Mizar users (MizAR).

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