Overall TFF Statistics ---------------------- Domains 19 Abstract problems 1877 Problems 2084 Problems with equality 1737 (83%) Pure equality problems 339 (16%) Problems with arithmetic 1371 (65%) Problems with polymorphism 599 (28%) Theorem/Unsatisfiable 1667 (79%) CounterSat/Satisfiable 118 ( 5%) HELP 0 atoms 26 formulae in problem SYN000_4 Problem-by-problem Min Max Avg Med ------------------ ------------------------------ Number of formulae 1 340918 4147 76 % of type formulae 0% 100% 30% 29% % of unit formulae 0% 100% 40% 30% Number of atoms 0 1986853 15167 184 % of equality atoms 0% -nan% -nan% 37% Atoms per formula 0.0 31836.0 591.4 2.0 Number of predicate symbols 0 271855 3159 42 Maximal predicate arity 0 8 2 2 Number of functors 0 9977 146 20 Maximal functor arity 0 18 2 2 Number of variables 0 246172 3103 186 !> 0 62 8 0 ! 0 246172 3075 171 ? 0 2178 18 1 Number of connectives 0 1911707 14461 105 Number of arithmetic symbols 0 30626 307 3 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 100 / 100 | |-- Henkin Models HEN 0 / 0 | |-- Mathematics --|-- Set Theory SET 0 / 0 | |-- Set Theory Continued SEU 0 / 0 | |-- Set Theory Continued SEV 6 / 6 | |-- Graph Theory GRA 0 / 0 | |-- 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 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 | |-- Number Theory NUM 141 / 157 | |-- Number Theory Continued NUN 19 / 19 | |-- Topology TOP 0 / 0 | |-- Analysis ANA 0 / 0 | |-- Geometry GEO 1 / 1 | |-- Category Theory CAT 0 / 0 | |-- Computer -----|-- Computing Theory COM 101 / 102 | Science |-- Knowledge Representation KRS 1 / 1 | |-- Natural Language Processing NLP 0 / 0 | |-- Planning PLA 7 / 7 | |-- Agents AGT 0 / 0 | |-- Commonsense Reasoning CSR 0 / 0 | |-- Semantic Web SWB 0 / 0 | |-- Data Structures DAT 114 / 114 | |-- Software Creation SWC 0 / 0 | |-- Software Verification SWV 54 / 54 | |-- Software Verification Continued SWW 470 / 494 | |-- Science and --|-- Biology BIO 0 / 0 | Engineering |-- Hardware Creation HWC 0 / 0 | |-- Hardware Verification HWV 61 / 200 | |-- Medicine MED 0 / 0 | |-- Processes PRO 0 / 0 | |-- Products PRD 0 / 0 | |-- Social -------|-- Social Choice Theory SCT 97 / 105 | Sciences |-- Management MGT 0 / 0 | |-- Geography GEG 5 / 5 | |-- Arts and -----|-- Philosophy PHI 0 / 0 | Humanities | |-- Other --------|-- Arithmetic ARI 681 / 693 |-- Syntactic SYN 1 / 5 |-- Syntactic Continued SYO 6 / 7 |-- Puzzles PUZ 9 / 11 |-- Miscellaneous MSC 3 / 3