TPTP Documents File: THFSynopsis
Overall THF Statistics
----------------------
Domains 34
Abstract problems 3016
Problems 4004
Problems with equality 3286 (82%)
Problems with polymorphism 695 (17%)
Theorem/Unsatisfiable 3412 (85%)
CounterSat/Satisfiable 413 (10%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 105847 780 20
% of type formulae 0% 99% 48% 50%
% of unit formulae 0% 100% 0% 0%
Number of atoms 1 2153315 15011 124
% of equality atoms 0% 43% 8% 7%
% of variable atoms 0% 100% 55% 52%
Atoms per formula 1.0 885.0 29.5 12.7
Number of symbols 1 28397 214 15
Number of variables 0 161529 1780 35
^ 0 5589 110 4
! 0 146725 1411 16
? 0 14804 226 3
Number of connectives 0 1985069 13741 88
Number of arithmetic symbols 0 1989 108 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 0 / 0
| |-- Logic Calculi LCL 148 / 150
| |-- Henkin Models HEN 0 / 0
|
|-- Mathematics --|-- Set Theory SET 124 / 145
| |-- Set Theory Continued SEU 537 / 847
| |-- Set Theory Continued SEV 477 / 484
| |-- Graph Theory GRA 48 / 93
| |-- Algebra --|-- Relation Algebra REL 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 1 / 1
| | |-- 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 33 / 37
| |-- 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 11 / 11
| |-- Planning PLA 2 / 2
| |-- Agents AGT 15 / 23
| |-- Commonsense Reasoning CSR 34 / 82
| |-- Semantic Web SWB 0 / 0
| |-- Interactive Theorem Proving ITP 25 / 150
| |-- Data Structures DAT 217 / 218
| |-- Software Creation SWC 1 / 1
| |-- Software Verification SWV 33 / 47
| |-- Software Verification Continued SWW 11 / 29
|
|-- Science and --|-- Biology BIO 0 / 0
| Engineering |-- Hardware Creation HWC 0 / 0
| |-- Hardware Verification HWV 0 / 0
| |-- Medicine MED 0 / 0
| |-- Processes PRO 10 / 10
| |-- Products PRD 0 / 0
|
|-- Social -------|-- Social Choice Theory SCT 3 / 9
| Sciences |-- Management MGT 0 / 0
| |-- Geography GEG 18 / 18
|
|-- Arts and -----|-- Philosophy PHI 8 / 17
| Humanities
|
|-- Other --------|-- Arithmetic ARI 0 / 0
|-- Syntactic SYN 67 / 84
|-- Syntactic Continued SYO 540 / 716
|-- Puzzles PUZ 59 / 63
|-- Miscellaneous MSC 9 / 10