TPTP Documents File: THFSynopsis
Overall THF Statistics
----------------------
Domains 37
Abstract problems 3682
Problems 5182
Problems with equality 4311 (83%)
Non-classical problems 23 ( 0%)
Problems with polymorphism 1123 (21%)
Problems with dependent types 131 ( 2%)
Theorem/Unsat/ContraAx 4334 (83%)
CounterSat/Satisfiable 475 ( 9%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 81561 1265 58
% of unit formulae 0% 100% 29% 32%
% of type formulae 0% 99% 44% 50%
Number of atoms 0 525127 4091 94
% of equality atoms 0% 100% 34% 29%
Number of connectives 0 1852919 20383 143
Number of arithmetics 0 4559 190 0
Number of types 0 306 9 2
Number of symbols 0 13799 197 32
Maximal symbol arity 0 30 3 3
Number of variables 0 144755 3248 62
Number of Pi binders 0 6136 47 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 182 / 186
| |-- Henkin Models HEN 0 / 0
|
|-- Mathematics --|-- Set Theory SET 131 / 161
| |-- Set Theory Continued SEU 537 / 847
| |-- Set Theory Continued SEV 507 / 513
| |-- Graph Theory GRA 84 / 129
| |-- 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
| |-- Arithmetic ARI 0 / 0
| |-- 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 6 / 7
|
|-- 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 297 / 869
| |-- Data Structures DAT 312 / 320
| |-- Software Creation SWC 1 / 1
| |-- Software Verification SWV 33 / 47
| |-- Software Verification Continued SWW 12 / 31
| |-- Software Verification Continued SWX 0 / 0
|
|-- 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 11 / 35
| Humanities
|
|-- Other --------|-- Syntactic SYN 67 / 86
|-- Syntactic Continued SYO 623 / 809
|-- Syntactic Continued SYP 8 / 8
|-- Puzzles PUZ 62 / 66
|-- Miscellaneous MSC 9 / 10