Overall CNF Statistics ---------------------- Domains 40 Abstract problems 6224 Problems 8118 Problems with equality 5851 (72%) Pure equality problems 1959 (24%) Theorem/Unsatisfiable 6068 (74%) CounterSat/Satisfiable 1230 (15%) Unit equality problems 1232 (15%) Problem-by-problem Min Max Avg Med ------------------ ------------------------------ Number of formulae 1 2332428 2309 42 % of unit formulae 0% 100% 47% 34% Number of atoms 1 6570884 6826 94 % of equality atoms 0% 100% 34% 21% Atoms per formula 1.0 40.5 2.4 2.0 Number of symbols 1 490156 453 19 Number of predicate symbols 1 480215 394 4 Maximal predicate arity 0 350 3 2 Number of functors 0 21873 59 12 Maximal functor arity 0 35 2 2 Number of variables 0 4034129 6374 72 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 / 240 | |-- Logic Calculi LCL 569 / 724 | |-- 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 / 110 | | |-- Boolean Algebra BOO 104 / 142 | | |-- Robbins Algebra ROB 34 / 46 | | |-- Left Distributive LDA 41 / 50 | | |-- Lattices LAT 288 / 325 | | |-- Quantales QUA 0 / 0 | | |-- Kleene Algebra KLE 9 / 9 | | |-- Groups GRP 703 / 891 | | |-- Rings RNG 44 / 109 | | |-- Fields FLD 101 / 281 | | |-- Linear Algebra LIN 0 / 0 | | |-- Homological Alg HAL 0 / 0 | | |-- Real Algebra RAL 0 / 0 | | |-- General Algebra ALG 171 / 175 | |-- Number Theory NUM 290 / 323 | |-- Number Theory Continued NUN 0 / 0 | |-- Topology TOP 19 / 24 | |-- Analysis ANA 42 / 93 | |-- Geometry GEO 163 / 254 | |-- Category Theory CAT 20 / 65 | |-- Computer -----|-- Computing Theory COM 9 / 14 | Science |-- Knowledge Representation KRS 30 / 30 | |-- Natural Language Processing NLP 258 / 277 | |-- Planning PLA 38 / 63 | |-- Agents AGT 1 / 1 | |-- Commonsense Reasoning CSR 11 / 11 | |-- Semantic Web SWB 13 / 13 | |-- Data Structures DAT 0 / 0 | |-- Software Creation SWC 423 / 423 | |-- Software Verification SWV 657 / 1005 | |-- 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 / 78 | |-- Geography GEG 0 / 0 | |-- Arts and -----|-- Philosophy PHI 0 / 0 | Humanities | |-- Other --------|-- Arithmetic ARI 0 / 0 |-- Syntactic SYN 831 / 849 |-- Syntactic Continued SYO 93 / 107 |-- Puzzles PUZ 67 / 105 |-- Miscellaneous MSC 14 / 27