TPTP Documents File: THFSynopsis

```Overall THF Statistics
----------------------
Domains                      35
Abstract problems          3343
Problems                   4515
Problems with equality     3798 (84%)
Problems with polymorphism  875 (19%)
Theorem/Unsatisfiable      3799 (84%)
CounterSat/Satisfiable      413 ( 9%)

Problem-by-problem                 Min      Max      Avg      Med
------------------                 ------------------------------
Number of formulae                   1    81561      666       51
% of type formulae                  0%      99%      46%      50%
% of unit formulae                  0%     100%       0%       0%
Number of atoms                      1  1998349    13333      237
% of equality atoms                 0%      43%       8%       7%
% of variable atoms                 0%     100%      54%      53%
Atoms per formula                  1.0   3600.0     29.2     13.0
Number of symbols                    1    14003      163       28
Number of variables                  0   144755     1631       49
^                          0     5493      112       12
!                          0   130034     1284       29
?                          0    14721      204        4
Number of connectives                0  1849372    12202      139
Number of arithmetic symbols         0     1989       96        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   158 /  160
|                 |-- Henkin Models                    HEN     0 /    0
|
|-- Mathematics --|-- Set Theory                       SET   124 /  145
|                 |-- Set Theory Continued             SEU   537 /  847
|                 |-- Set Theory Continued             SEV   487 /  493
|                 |-- 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    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    11 /   11
|                 |-- Planning                         PLA     2 /    2
|                 |-- Agents                           AGT    15 /   23
|                 |-- Commonsense Reasoning            CSR    34 /   82
|                 |-- Semantic Web                     SWB     0 /    0
|                 |-- Interactive Theorem Proving      ITP   205 /  510
|                 |-- 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     9 /   19
|   Humanities
|
|-- Other --------|-- Arithmetic                       ARI     0 /    0
|-- Syntactic                        SYN    67 /   84
|-- Syntactic Continued              SYO   584 /  764
|-- Puzzles                          PUZ    59 /   63
|-- Miscellaneous                    MSC     9 /   10

```