Overall FOF Statistics ---------------------- Domains 41 Abstract problems 5648 Problems 8630 Problems with equality 6811 (78%) Pure equality problems 372 ( 4%) Theorem/Unsatisfiable 7094 (82%) CounterSat/Satisfiable 1061 (12%) Problem-by-problem Min Max Avg Med ------------------ ------------------------------ Number of formulae 1 3341984 27836 63 % of unit formulae 0% 100% 30% 23% Number of atoms 1 5328211 57198 293 % of equality atoms 0% 100% 19% 11% Atoms per formula 1.0 163741.5 195.6 3.2 Number of predicate symbols 1 204678 2207 13 Maximal predicate arity 0 81 3 2 Number of functors 0 1050014 9308 14 Maximal functor arity 0 220 3 2 Number of variables 0 972236 14803 139 ! 0 972235 10318 122 ? 0 34936 421 8 Number of connectives 0 2065419 32096 217 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 0 / 0 | |-- Logic Calculi LCL 221 / 438 | |-- Henkin Models HEN 0 / 0 | |-- Mathematics --|-- Set Theory SET 447 / 468 | |-- Set Theory Continued SEU 433 / 906 | |-- Set Theory Continued SEV 12 / 12 | |-- Graph Theory GRA 26 / 33 | |-- Algebra --|-- Relation Algebra REL 53 / 111 | | |-- Boolean Algebra BOO 1 / 1 | | |-- Robbins Algebra ROB 0 / 0 | | |-- Left Distributive LDA 0 / 0 | | |-- Lattices LAT 108 / 413 | | |-- Quantales QUA 0 / 0 | | |-- Kleene Algebra KLE 182 / 241 | | |-- Groups GRP 86 / 202 | | |-- Rings RNG 84 / 157 | | |-- Fields FLD 0 / 0 | | |-- Linear Algebra LIN 0 / 0 | | |-- Homological Alg HAL 7 / 10 | | |-- Real Algebra RAL 0 / 0 | | |-- General Algebra ALG 222 / 286 | |-- Number Theory NUM 489 / 769 | |-- Number Theory Continued NUN 40 / 79 | |-- Topology TOP 29 / 107 | |-- Analysis ANA 0 / 0 | |-- Geometry GEO 368 / 521 | |-- Category Theory CAT 17 / 68 | |-- Computer -----|-- Computing Theory COM 44 / 61 | Science |-- Knowledge Representation KRS 268 / 268 | |-- Natural Language Processing NLP 262 / 262 | |-- Planning PLA 17 / 17 | |-- Agents AGT 27 / 53 | |-- Commonsense Reasoning CSR 272 / 937 | |-- Semantic Web SWB 108 / 204 | |-- Data Structures DAT 0 / 0 | |-- Software Creation SWC 423 / 423 | |-- Software Verification SWV 328 / 346 | |-- Software Verification Continued SWW 346 / 392 | |-- Science and --|-- Biology BIO 4 / 4 | Engineering |-- Hardware Creation HWC 0 / 0 | |-- Hardware Verification HWV 95 / 108 | |-- Medicine MED 12 / 12 | |-- Processes PRO 18 / 72 | |-- Products PRD 3 / 3 | |-- Social -------|-- Social Choice Theory SCT 70 / 85 | Sciences |-- Management MGT 67 / 79 | |-- Geography GEG 1 / 1 | |-- Arts and -----|-- Philosophy PHI 7 / 7 | Humanities | |-- Other --------|-- Arithmetic ARI 0 / 0 |-- Syntactic SYN 365 / 375 |-- Syntactic Continued SYO 46 / 51 |-- Puzzles PUZ 29 / 37 |-- Miscellaneous MSC 11 / 11