TPTP Documents File: CNFSynopsis
Overall CNF Statistics
----------------------
Domains 42
Abstract problems 6312
Problems 8345
Problems with equality 6070 (72%)
Pure equality problems 2182 (26%)
Theorem/Unsatisfiable 6270 (75%)
CounterSat/Satisfiable 1301 (15%)
Unit equality problems 1455 (17%)
Problem-by-problem Min Max Avg Med
------------------ ------------------------------
Number of formulae 1 2332428 2275 40
% of unit formulae 0% 100% 48% 34%
Number of atoms 0 2119211 4311 87
% of equality atoms 0% 100% 36% 21%
Literals per clause 0.0 40.5 2.4 2.0
Number of predicates 0 131214 210 4
Maximal predicate arity 0 350 3 2
Number of functors 0 21874 69 12
Maximal functor arity 0 140 2 2
Number of variables 0 1426350 4768 69
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 121 / 242
| |-- Logic Calculi LCL 571 / 757
| |-- Henkin Models HEN 13 / 68
|
|-- Mathematics --|-- Set Theory SET 615 / 800
| |-- Set Theory Continued SEU 1 / 1
| |-- Set Theory Continued SEV 1 / 1
| |-- Graph Theory GRA 1 / 1
| |-- Algebra --|-- Relation Algebra REL 51 / 112
| | |-- MV Algebras MVA 15 / 15
| | |-- Boolean Algebra BOO 104 / 149
| | |-- Robbins Algebra ROB 34 / 48
| | |-- Left Distributive LDA 41 / 50
| | |-- Lattices LAT 293 / 345
| | |-- Quantales QUA 0 / 0
| | |-- Kleene Algebra KLE 16 / 16
| | |-- Groups GRP 726 / 944
| | |-- Rings RNG 44 / 111
| | |-- Fields FLD 101 / 281
| | |-- Linear Algebra LIN 0 / 0
| | |-- Homological Alg HAL 0 / 0
| | |-- Real Algebra RAL 0 / 0
| | |-- General Algebra ALG 173 / 177
| |-- Number Theory NUM 290 / 323
| |-- Number Theory Continued NUN 2 / 2
| |-- Topology TOP 24 / 29
| |-- Analysis ANA 43 / 96
| |-- Geometry GEO 163 / 254
| |-- Category Theory CAT 20 / 66
|
|-- Computer -----|-- Computing Theory COM 9 / 14
| Science |-- Knowledge Representation KRS 30 / 30
| |-- Natural Language Processing NLP 258 / 300
| |-- Planning PLA 38 / 65
| |-- Agents AGT 1 / 1
| |-- Commonsense Reasoning CSR 19 / 19
| |-- Semantic Web SWB 25 / 25
| |-- Interactive Theorem Proving ITP 0 / 0
| |-- Data Structures DAT 0 / 0
| |-- Software Creation SWC 423 / 423
| |-- Software Verification SWV 658 / 1010
| |-- Software Verification Continued SWW 73 / 73
|
|-- Science and --|-- Biology BIO 0 / 0
| Engineering |-- Hardware Creation HWC 4 / 6
| |-- Hardware Verification HWV 134 / 203
| |-- Medicine MED 0 / 0
| |-- Processes PRO 0 / 0
| |-- Products PRD 0 / 0
|
|-- Social -------|-- Social Choice Theory SCT 101 / 101
| Sciences |-- Management MGT 66 / 79
| |-- Geography GEG 0 / 0
|
|-- Arts and -----|-- Philosophy PHI 0 / 0
| Humanities
|
|-- Other --------|-- Arithmetic ARI 0 / 0
|-- Syntactic SYN 831 / 860
|-- Syntactic Continued SYO 95 / 109
|-- Puzzles PUZ 68 / 110
|-- Miscellaneous MSC 16 / 29