TPTP Documents File: FOFSynopsis
Overall FOF Statistics
----------------------
Domains 43
Abstract problems 6033
Problems 9091
Problems with equality 7122 (78%)
Pure equality problems 392 ( 4%)
Theorem/Unsat/ContraAx 7697 (84%)
CounterSat/Satisfiable 1239 (13%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 3341978 26502 63
% of unit formulae 0% 100% 30% 22%
Number of atoms 1 5328205 54689 286
% of equality atoms 0% 100% 19% 11%
Number of connectives 0 2065419 30799 204
Number of predicates 1 204666 2097 12
Maximal predicate arity 0 81 3 2
Number of functors 0 1050014 8870 13
Maximal functor arity 0 16 2 2
Number of variables 0 972236 14389 138
The TPTP Domain Structure
-------------------------
The domain structure of the TPTP is depicted below, with counts of the numbers
of FOF 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 10 / 10
| |-- Logic Calculi LCL 221 / 438
| |-- Henkin Models HEN 0 / 0
|
|-- Mathematics --|-- Set Theory SET 447 / 468
| |-- Set Theory Continued SEU 433 / 906
| |-- Set Theory Continued SEV 12 / 12
| |-- Graph Theory GRA 26 / 33
| |-- Algebra --|-- Relation Algebra REL 53 / 111
| | |-- MV Algebras MVA 0 / 0
| | |-- Boolean Algebra BOO 1 / 1
| | |-- Robbins Algebra ROB 0 / 0
| | |-- Left Distributive LDA 0 / 0
| | |-- Lattices LAT 108 / 413
| | |-- Quantales QUA 0 / 0
| | |-- Kleene Algebra KLE 182 / 241
| | |-- Groups GRP 106 / 222
| | |-- Rings RNG 84 / 157
| | |-- Fields FLD 0 / 0
| | |-- Linear Algebra LIN 0 / 0
| | |-- Homological Alg HAL 7 / 10
| | |-- Real Algebra RAL 0 / 0
| | |-- General Algebra ALG 222 / 286
| |-- Number Theory NUM 490 / 771
| |-- Number Theory Continued NUN 41 / 80
| |-- Topology TOP 29 / 107
| |-- Analysis ANA 0 / 0
| |-- Geometry GEO 489 / 642
| |-- Category Theory CAT 17 / 68
|
|-- Computer -----|-- Computing Theory COM 44 / 61
| Science |-- Knowledge Representation KRS 268 / 268
| |-- Natural Language Processing NLP 262 / 262
| |-- Planning PLA 17 / 17
| |-- Agents AGT 27 / 53
| |-- Commonsense Reasoning CSR 272 / 937
| |-- Semantic Web SWB 108 / 204
| |-- Interactive Theorem Proving ITP 25 / 100
| |-- Data Structures DAT 0 / 0
| |-- Software Creation SWC 423 / 423
| |-- Software Verification SWV 328 / 346
| |-- Software Verification Continued SWW 369 / 415
|
|-- Science and --|-- Biology BIO 6 / 6
| Engineering |-- Hardware Creation HWC 0 / 0
| |-- Hardware Verification HWV 95 / 108
| |-- Medicine MED 12 / 12
| |-- Processes PRO 18 / 72
| |-- Products PRD 3 / 3
|
|-- Social -------|-- Social Choice Theory SCT 70 / 85
| Sciences |-- Management MGT 67 / 79
| |-- Geography GEG 1 / 1
|
|-- Arts and -----|-- Philosophy PHI 34 / 34
| Humanities
|
|-- Other --------|-- Arithmetic ARI 0 / 0
|-- Syntactic SYN 365 / 375
|-- Syntactic Continued SYO 201 / 206
|-- Puzzles PUZ 29 / 37
|-- Miscellaneous MSC 11 / 11