TPTP Documents File: THFSynopsis
Overall THF Statistics
----------------------
Domains 36
Abstract problems 3512
Problems 4990
Problems with equality 4273 (85%)
Pure equality problems 422 ( 8%)
Problems with polymorphism 1053 (21%)
Theorem/Unsat/ContraAx 4270 (85%)
CounterSat/Satisfiable 444 ( 8%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 81561 1313 64
% of unit formulae 0% 100% 29% 32%
% of type formulae 0% 99% 44% 50%
Number of atoms 0 525127 4248 102
% of equality atoms 0% 100% 32% 29%
Number of connectives 0 1852919 21163 144
Number of arithmetics 0 4559 197 0
Number of types 0 306 9 2
Number of symbols 0 13799 204 35
Maximal symbol arity 0 30 4 3
Number of variables 0 144755 3372 86
Number of Pi binders 0 6136 49 0
The TPTP Domain Structure
-------------------------
The domain structure of the TPTP is depicted below, with counts of the numbers
of THF problems and versions in each domain. The prefixes name subdirectories
in the Problems directory, and prefix the problem names in that directory.
Domain # Problems
Field Subfield Prefix Abst / Vers
-----------------------------------------------------------------------
|-- Logic --------|-- Combinatory Logic COL 2 / 2
| |-- Logic Calculi LCL 188 / 192
| |-- Henkin Models HEN 0 / 0
|
|-- Mathematics --|-- Set Theory SET 131 / 161
| |-- Set Theory Continued SEU 537 / 847
| |-- Set Theory Continued SEV 487 / 493
| |-- Graph Theory GRA 48 / 93
| |-- Algebra --|-- Relation Algebra REL 0 / 0
| | |-- MV Algebras MVA 0 / 0
| | |-- Boolean Algebra BOO 0 / 0
| | |-- Robbins Algebra ROB 0 / 0
| | |-- Left Distributive LDA 0 / 0
| | |-- Lattices LAT 0 / 0
| | |-- Quantales QUA 21 / 21
| | |-- Kleene Algebra KLE 0 / 0
| | |-- Groups GRP 41 / 41
| | |-- Rings RNG 0 / 0
| | |-- Fields FLD 0 / 0
| | |-- Linear Algebra LIN 15 / 15
| | |-- Homological Alg HAL 0 / 0
| | |-- Real Algebra RAL 70 / 70
| | |-- General Algebra ALG 63 / 88
| |-- Number Theory NUM 177 / 323
| |-- Number Theory Continued NUN 73 / 77
| |-- Topology TOP 0 / 0
| |-- Analysis ANA 87 / 87
| |-- Geometry GEO 84 / 84
| |-- Category Theory CAT 1 / 2
|
|-- Computer -----|-- Computing Theory COM 61 / 61
| Science |-- Knowledge Representation KRS 6 / 6
| |-- Natural Language Processing NLP 14 / 29
| |-- Planning PLA 4 / 8
| |-- Agents AGT 15 / 23
| |-- Commonsense Reasoning CSR 34 / 82
| |-- Semantic Web SWB 1 / 2
| |-- Interactive Theorem Proving ITP 294 / 866
| |-- Data Structures DAT 220 / 228
| |-- Software Creation SWC 1 / 1
| |-- Software Verification SWV 33 / 47
| |-- Software Verification Continued SWW 12 / 31
|
|-- Science and --|-- Biology BIO 0 / 0
| Engineering |-- Hardware Creation HWC 0 / 0
| |-- Hardware Verification HWV 0 / 0
| |-- Medicine MED 0 / 0
| |-- Processes PRO 11 / 11
| |-- Products PRD 0 / 0
|
|-- Social -------|-- Social Choice Theory SCT 3 / 9
| Sciences |-- Management MGT 0 / 0
| |-- Geography GEG 18 / 18
|
|-- Arts and -----|-- Philosophy PHI 9 / 19
| Humanities
|
|-- Other --------|-- Arithmetic ARI 0 / 0
|-- Syntactic SYN 67 / 84
|-- Syntactic Continued SYO 614 / 794
|-- Puzzles PUZ 61 / 65
|-- Miscellaneous MSC 9 / 10