TPTP Documents File: TFFSynopsis
Overall TFF Statistics
----------------------
Domains 26
Abstract problems 2299
Problems 3048
Problems with equality 2558 (83%)
Pure equality problems 346 (11%)
TXF problems 368 (12%)
Problems with FOOLs 410 (13%)
Problems with arithmetic 1484 (48%)
Problems with polymorphism 827 (27%)
Theorem/Unsat/ContraAx 2494 (81%)
CounterSat/Satisfiable 271 ( 8%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 340918 5029 144
% of unit formulae 0% 100% 35% 29%
% of type formulae 0% 100% 31% 29%
Number of atoms 0 1986853 16173 224
% of equality atoms 0% 100% 39% 35%
Number of connectives 0 1911707 12909 149
Number of FOOLs 0 442917 1784 0
Number of arithmetics 0 1723663 3645 0
Number of types 0 2261 51 4
Number of predicates 0 135793 1078 6
Maximal predicate arity 0 26 2 2
Number of functors 0 15824 425 27
Maximal functor arity 0 18 3 2
Number of variables 0 246172 7284 250
Number of Pi binders 0 13694 215 0
The TPTP Domain Structure
-------------------------
The domain structure of the TPTP is depicted below, with counts of the numbers
of TFF 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 121 / 123
| |-- Henkin Models HEN 0 / 0
|
|-- Mathematics --|-- Set Theory SET 0 / 0
| |-- Set Theory Continued SEU 16 / 16
| |-- Set Theory Continued SEV 7 / 7
| |-- Graph Theory GRA 0 / 0
| |-- 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 0 / 0
| | |-- Kleene Algebra KLE 0 / 0
| | |-- Groups GRP 0 / 0
| | |-- Rings RNG 0 / 0
| | |-- Fields FLD 0 / 0
| | |-- Linear Algebra LIN 0 / 0
| | |-- Homological Alg HAL 0 / 0
| | |-- Real Algebra RAL 0 / 0
| | |-- General Algebra ALG 0 / 0
| |-- Number Theory NUM 186 / 216
| |-- Number Theory Continued NUN 19 / 19
| |-- Topology TOP 0 / 0
| |-- Analysis ANA 10 / 26
| |-- Geometry GEO 1 / 2
| |-- Category Theory CAT 0 / 0
|
|-- Computer -----|-- Computing Theory COM 101 / 106
| Science |-- Knowledge Representation KRS 1 / 2
| |-- Natural Language Processing NLP 3 / 10
| |-- Planning PLA 9 / 12
| |-- Agents AGT 0 / 0
| |-- Commonsense Reasoning CSR 16 / 16
| |-- Semantic Web SWB 1 / 2
| |-- Interactive Theorem Proving ITP 234 / 635
| |-- Data Structures DAT 117 / 120
| |-- Software Creation SWC 0 / 0
| |-- Software Verification SWV 54 / 54
| |-- Software Verification Continued SWW 471 / 522
|
|-- Science and --|-- Biology BIO 0 / 0
| Engineering |-- Hardware Creation HWC 0 / 0
| |-- Hardware Verification HWV 61 / 237
| |-- Medicine MED 0 / 0
| |-- Processes PRO 0 / 0
| |-- Products PRD 0 / 0
|
|-- Social -------|-- Social Choice Theory SCT 97 / 114
| Sciences |-- Management MGT 0 / 0
| |-- Geography GEG 5 / 5
|
|-- Arts and -----|-- Philosophy PHI 1 / 1
| Humanities
|
|-- Other --------|-- Arithmetic ARI 681 / 693
|-- Syntactic SYN 5 / 9
|-- Syntactic Continued SYO 65 / 73
|-- Puzzles PUZ 14 / 25
|-- Miscellaneous MSC 3 / 3