TPTP Documents File: TFFSynopsis
Overall TFF Statistics
----------------------
Domains 32
Abstract problems 2925
Problems 3799
Problems with equality 2966 (78%)
TXF problems 505 (13%)
Problems with FOOLs 494 (13%)
Problems with arithmetic 1774 (46%)
Non-classical problems 327 ( 8%)
Problems with polymorphism 827 (21%)
Theorem/Unsat/ContraAx 2856 (75%)
CounterSat/Satisfiable 302 ( 7%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 340918 4079 90
% of unit formulae 0% 100% 32% 27%
% of type formulae 0% 100% 35% 32%
Number of atoms 0 1986853 13092 213
% of equality atoms 0% 100% 37% 32%
Number of connectives 0 1911707 10514 144
Number of FOOLs 0 442917 1439 0
Number of arithmetics 0 1723663 3099 0
Number of types 0 2261 42 3
Number of predicates 0 135793 871 6
Maximal predicate arity 0 26 2 2
Number of functors 0 15824 361 20
Maximal functor arity 0 18 2 2
Number of variables 0 246172 5900 179
Number of Pi binders 0 13694 172 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 128 / 136
| |-- 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 5 / 12
| |-- 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
| |-- Arithmetic ARI 683 / 695
| |-- 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 200 / 205
| Science |-- Knowledge Representation KRS 2 / 3
| |-- Natural Language Processing NLP 3 / 10
| |-- Planning PLA 15 / 23
| |-- Agents AGT 0 / 0
| |-- Commonsense Reasoning CSR 22 / 22
| |-- Semantic Web SWB 1 / 2
| |-- Interactive Theorem Proving ITP 234 / 635
| |-- Data Structures DAT 123 / 126
| |-- Software Creation SWC 110 / 110
| |-- Software Verification SWV 54 / 54
| |-- Software Verification Continued SWW 499 / 550
| |-- Software Verification Continued SWX 119 / 119
|
|-- Science and --|-- Biology BIO 0 / 0
| Engineering |-- Hardware Creation HWC 0 / 0
| |-- Hardware Verification HWV 61 / 237
| |-- Medicine MED 0 / 0
| |-- Processes PRO 4 / 4
| |-- Products PRD 0 / 0
| |-- Time TIM 36 / 36
|
|-- Social -------|-- Social Choice Theory SCT 97 / 114
| Sciences |-- Management MGT 0 / 0
| |-- Geography GEG 5 / 5
|
|-- Arts and -----|-- Philosophy PHI 1 / 1
| Humanities
|
|-- Other --------|-- Syntactic SYN 5 / 11
|-- Syntactic Continued SYO 139 / 242
|-- Syntactic Continued SYP 109 / 109
|-- Puzzles PUZ 26 / 47
|-- Miscellaneous MSC 5 / 5