Overall THF Statistics ---------------------- Domains 33 Abstract problems 2991 Problems 3854 Problems with equality 3136 (81%) Problems with polymorphism 645 (16%) Theorem/Unsatisfiable 3262 (84%) CounterSat/Satisfiable 398 (10%) Problem-by-problem Min Max Avg Med ------------------ ------------------------------ Number of formulae 1 5639 316 16 % of type formulae 0% 99% 49% 50% % of unit formulae 0% 100% 0% 0% Number of atoms 1 63746 3573 111 % of equality atoms 0% 43% 8% 7% % of variable atoms 0% 100% 55% 52% Atoms per formula 1.0 885.0 29.6 12.5 Number of symbols 1 1442 116 12 Number of variables 0 11290 686 31 ^ 0 4369 78 4 ! 0 10753 563 14 ? 0 496 33 3 Number of connectives 0 51053 3077 77 Number of arithmetic symbols 0 1989 112 0 The TPTP Domain Structure ------------------------- The domain structure of the TPTP is depicted below, with counts of the numbers of THF 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 148 / 150 | |-- Henkin Models HEN 0 / 0 | |-- Mathematics --|-- Set Theory SET 124 / 145 | |-- Set Theory Continued SEU 537 / 847 | |-- Set Theory Continued SEV 477 / 484 | |-- Graph Theory GRA 48 / 93 | |-- Algebra --|-- Relation Algebra REL 0 / 0 | | |-- Boolean Algebra BOO 0 / 0 | | |-- Robbins Algebra ROB 0 / 0 | | |-- Left Distributive LDA 0 / 0 | | |-- Lattices LAT 0 / 0 | | |-- Quantales QUA 21 / 21 | | |-- Kleene Algebra KLE 0 / 0 | | |-- Groups GRP 1 / 1 | | |-- Rings RNG 0 / 0 | | |-- Fields FLD 0 / 0 | | |-- Linear Algebra LIN 15 / 15 | | |-- Homological Alg HAL 0 / 0 | | |-- Real Algebra RAL 70 / 70 | | |-- General Algebra ALG 63 / 88 | |-- Number Theory NUM 177 / 323 | |-- Number Theory Continued NUN 33 / 37 | |-- Topology TOP 0 / 0 | |-- Analysis ANA 87 / 87 | |-- Geometry GEO 84 / 84 | |-- Category Theory CAT 1 / 2 | |-- Computer -----|-- Computing Theory COM 61 / 61 | Science |-- Knowledge Representation KRS 6 / 6 | |-- Natural Language Processing NLP 11 / 11 | |-- Planning PLA 2 / 2 | |-- Agents AGT 15 / 23 | |-- Commonsense Reasoning CSR 34 / 82 | |-- Semantic Web SWB 0 / 0 | |-- Data Structures DAT 217 / 218 | |-- Software Creation SWC 1 / 1 | |-- Software Verification SWV 33 / 47 | |-- Software Verification Continued SWW 11 / 29 | |-- Science and --|-- Biology BIO 0 / 0 | Engineering |-- Hardware Creation HWC 0 / 0 | |-- Hardware Verification HWV 0 / 0 | |-- Medicine MED 0 / 0 | |-- Processes PRO 10 / 10 | |-- Products PRD 0 / 0 | |-- Social -------|-- Social Choice Theory SCT 3 / 9 | Sciences |-- Management MGT 0 / 0 | |-- Geography GEG 18 / 18 | |-- Arts and -----|-- Philosophy PHI 8 / 17 | Humanities | |-- Other --------|-- Arithmetic ARI 0 / 0 |-- Syntactic SYN 67 / 84 |-- Syntactic Continued SYO 540 / 716 |-- Puzzles PUZ 59 / 63 |-- Miscellaneous MSC 9 / 10