TPTP Documents File: TFFSynopsis
Overall TFF Statistics
----------------------
Domains 30
Abstract problems 2620
Problems 3478
Problems with equality 2787 (80%)
TXF problems 491 (14%)
Problems with FOOLs 480 (13%)
Problems with arithmetic 1708 (49%)
Non-classical problems 196 ( 5%)
Problems with polymorphism 827 (23%)
Theorem/Unsat/ContraAx 2686 (77%)
CounterSat/Satisfiable 296 ( 8%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 340918 4443 97
% of unit formulae 0% 100% 32% 27%
% of type formulae 0% 100% 34% 32%
Number of atoms 0 1986853 14255 207
% of equality atoms 0% 100% 37% 33%
Number of connectives 0 1911707 11423 130
Number of FOOLs 0 442917 1571 0
Number of arithmetics 0 1723663 3233 0
Number of types 0 2261 45 4
Number of predicates 0 135793 949 6
Maximal predicate arity 0 26 2 2
Number of functors 0 15824 386 22
Maximal functor arity 0 18 2 2
Number of variables 0 246172 6415 195
Number of Pi binders 0 13694 188 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 101 / 106
| Science |-- Knowledge Representation KRS 1 / 2
| |-- Natural Language Processing NLP 3 / 10
| |-- Planning PLA 14 / 22
| |-- Agents AGT 0 / 0
| |-- Commonsense Reasoning CSR 22 / 22
| |-- Semantic Web SWB 1 / 2
| |-- Interactive Theorem Proving ITP 234 / 635
| |-- Data Structures DAT 119 / 122
| |-- Software Creation SWC 110 / 110
| |-- Software Verification SWV 54 / 54
| |-- Software Verification Continued SWW 499 / 550
| |-- Software Verification Continued SWX 72 / 72
|
|-- 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
|
|-- 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 / 236
|-- Syntactic Continued SYP 0 / 0
|-- Puzzles PUZ 20 / 31
|-- Miscellaneous MSC 3 / 3