TPTP Documents File: THFSynopsis

```Overall THF Statistics
----------------------
Domains                      36
Abstract problems          3512
Problems                   4990
Problems with equality     4273 (85%)
Pure equality problems      422 ( 8%)
Problems with polymorphism 1053 (21%)
Theorem/Unsat/ContraAx     4270 (85%)
CounterSat/Satisfiable      444 ( 8%)

Problem-by-problem                 Min      Max      Avg      Med
------------------                 ------------------------------
Number of formulae                   1    81561     1313       64
% of unit formulae                  0%     100%      29%      32%
% of type formulae                  0%      99%      44%      50%
Number of atoms                      0   525127     4248      102
% of equality atoms                 0%     100%      32%      29%
Number of connectives                0  1852919    21163      144
Number of arithmetics                0     4559      197        0
Number of types                      0      306        9        2
Number of symbols                    0    13799      204       35
Maximal symbol arity                 0       30        4        3
Number of variables                  0   144755     3372       86
Number of Pi binders                 0     6136       49        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     2 /    2
|                 |-- Logic Calculi                    LCL   188 /  192
|                 |-- Henkin Models                    HEN     0 /    0
|
|-- Mathematics --|-- Set Theory                       SET   131 /  161
|                 |-- Set Theory Continued             SEU   537 /  847
|                 |-- Set Theory Continued             SEV   487 /  493
|                 |-- Graph Theory                     GRA    48 /   93
|                 |-- Algebra --|-- Relation Algebra   REL     0 /    0
|                 |             |-- MV Algebras        MVA     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    41 /   41
|                 |             |-- 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    73 /   77
|                 |-- 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    14 /   29
|                 |-- Planning                         PLA     4 /    8
|                 |-- Agents                           AGT    15 /   23
|                 |-- Commonsense Reasoning            CSR    34 /   82
|                 |-- Semantic Web                     SWB     1 /    2
|                 |-- Interactive Theorem Proving      ITP   294 /  866
|                 |-- Data Structures                  DAT   220 /  228
|                 |-- Software Creation                SWC     1 /    1
|                 |-- Software Verification            SWV    33 /   47
|                 |-- Software Verification Continued  SWW    12 /   31
|
|-- Science and --|-- Biology                          BIO     0 /    0
|   Engineering   |-- Hardware Creation                HWC     0 /    0
|                 |-- Hardware Verification            HWV     0 /    0
|                 |-- Medicine                         MED     0 /    0
|                 |-- Processes                        PRO    11 /   11
|                 |-- Products                         PRD     0 /    0
|
|-- Social -------|-- Social Choice Theory             SCT     3 /    9
|   Sciences      |-- Management                       MGT     0 /    0
|                 |-- Geography                        GEG    18 /   18
|
|-- Arts and -----|-- Philosophy                       PHI     9 /   19
|   Humanities
|
|-- Other --------|-- Arithmetic                       ARI     0 /    0
|-- Syntactic                        SYN    67 /   84
|-- Syntactic Continued              SYO   614 /  794
|-- Puzzles                          PUZ    61 /   65
|-- Miscellaneous                    MSC     9 /   10
```