TPTP Documents File: FOFSynopsis
Overall FOF Statistics
----------------------
Domains 44
Abstract problems 6348
Problems 9436
Problems with equality 7395 (78%)
Theorem/Unsat/ContraAx 8017 (84%)
CounterSat/Satisfiable 1256 (13%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 3341978 25557 62
% of unit formulae 0% 100% 30% 23%
Number of atoms 1 5328205 52776 276
% of equality atoms 0% 100% 19% 11%
Number of connectives 0 2065419 29736 201
Number of predicates 1 204666 2025 12
Maximal predicate arity 0 81 3 2
Number of functors 0 1050014 8559 13
Maximal functor arity 0 22 3 2
Number of variables 0 972236 13941 136
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 258 / 505
| |-- Henkin Models HEN 0 / 0
|
|-- Mathematics --|-- Set Theory SET 447 / 468
| |-- Set Theory Continued SEU 433 / 906
| |-- Set Theory Continued SEV 137 / 137
| |-- Graph Theory GRA 35 / 42
| |-- 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
| |-- Arithmetic ARI 0 / 0
| |-- Number Theory NUM 490 / 771
| |-- Number Theory Continued NUN 41 / 80
| |-- Topology TOP 29 / 107
| |-- Analysis ANA 0 / 0
| |-- Geometry GEO 490 / 643
| |-- Category Theory CAT 17 / 68
|
|-- Computer -----|-- Computing Theory COM 43 / 60
| 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
| |-- Software Verification Continued SWX 93 / 93
|
|-- 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
| |-- Time TIM 0 / 0
|
|-- Social -------|-- Social Choice Theory SCT 70 / 85
| Sciences |-- Management MGT 117 / 129
| |-- Geography GEG 1 / 1
|
|-- Arts and -----|-- Philosophy PHI 34 / 34
| Humanities
|
|-- Other --------|-- Syntactic SYN 365 / 375
|-- Syntactic Continued SYO 201 / 206
|-- Syntactic Continued SYP 0 / 0
|-- Puzzles PUZ 30 / 38
|-- Miscellaneous MSC 11 / 11