Faster, higher, stronger: E 2.3

S Schulz, S Cruanes, P Vukmirović - … , Natal, Brazil, August 27–30, 2019 …, 2019 - Springer
E 2.3 is a theorem prover for many-sorted first-order logic with equality. We describe the
basic logical and software architecture of the system, as well as core features of the …

The TPTP problem library and associated infrastructure: from CNF to TH0, TPTP v6. 4.0

G Sutcliffe - Journal of Automated Reasoning, 2017 - Springer
This paper describes the TPTP problem library and associated infrastructure, from its use of
Clause Normal Form (CNF), via the First-Order Form (FOF) and Typed First-order Form …

System description: E 1.8

S Schulz - International Conference on Logic for Programming …, 2013 - Springer
E is a theorem prover for full first-order logic with equality. It reduces first-order problems to
clause normal form and employs a saturation algorithm based on the equational …

Learning-assisted automated reasoning with Flyspeck

C Kaliszyk, J Urban - Journal of Automated Reasoning, 2014 - Springer
The considerable mathematical knowledge encoded by the Flyspeck project is combined
with external automated theorem provers (ATPs) and machine-learning premise selection …

Stepping stones in the TPTP world

G Sutcliffe - International Joint Conference on Automated …, 2024 - Springer
The TPTP World is a well established infrastructure that supports research, development,
and deployment of Automated Theorem Proving (ATP) systems. There are key components …

The logic languages of the TPTP world

G Sutcliffe - Logic Journal of the IGPL, 2023 - academic.oup.com
Abstract The Thousands of Problems for Theorem Provers (TPTP) World is a well-
established infrastructure that supports research, development and deployment of …

Extensional higher-order paramodulation in Leo-III

A Steen, C Benzmüller - Journal of Automated Reasoning, 2021 - Springer
Leo-III is an automated theorem prover for extensional type theory with Henkin semantics
and choice. Reasoning with primitive equality is enabled by adapting paramodulation-based …

[PDF][PDF] Program Verification as Satisfiability Modulo Theories.

NS Bjørner, KL McMillan, A Rybalchenko - SMT@ IJCAR, 2012 - Citeseer
A key driver of SMT over the past decade has been an interchange format, SMT-LIB, and a
growing set of benchmarks sharing this common format. SMT-LIB captures very well an …

Superposition for lambda-free higher-order logic

A Bentkamp, J Blanchette, S Cruanes… - Logical Methods in …, 2021 - lmcs.episciences.org
We introduce refutationally complete superposition calculi for intentional and extensional
clausal λ-free higher-order logic, two formalisms that allow partial application and applied …

TFF1: The TPTP typed first-order form with rank-1 polymorphism

JC Blanchette, A Paskevich - … –CADE-24: 24th International Conference on …, 2013 - Springer
The TPTP World is a well-established infrastructure for automatic theorem provers. It defines
several concrete syntaxes, notably an untyped first-order form (FOF) and a typed first-order …