## TPTP Documents File: FOFSynopsis

```Overall FOF Statistics
----------------------
Domains                     43
Abstract problems         6033
Problems                  9091
Problems with equality    7121 (78%)
Pure equality problems     392 ( 4%)
Theorem/Unsatisfiable     7191 (79%)
CounterSat/Satisfiable    1242 (13%)

Problem-by-problem                 Min      Max      Avg      Med
------------------                 ------------------------------
Number of formulae                   1  3341984    26502       63
% of unit formulae                  0%     100%      30%      22%
Number of atoms                      1  5328211    54689      286
% of equality atoms                 0%     100%      19%      11%
Atoms per formula                  1.0 163741.5    185.9      3.2
Number of predicate symbols          1   204678     2097       12
Maximal predicate arity              0       81        3        2
Number of functors                   0  1050014     8870       13
Maximal functor arity                0      220        2        2
Number of variables                  0   972236    14389      138
!                          0   972235    10074      121
?                          0    34936      457        8
Number of connectives                0  2065419    30799      204

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   10 /    10
|                 |-- 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   106 /  222
|                 |             |-- 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   490 /  771
|                 |-- Number Theory Continued          NUN    41 /   80
|                 |-- Topology                         TOP    29 /  107
|                 |-- Analysis                         ANA     0 /    0
|                 |-- Geometry                         GEO   489 /  642
|                 |-- 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
|                 |-- Interactive Theorem Proving      ITP    25 /  100
|                 |-- Data Structures                  DAT     0 /    0
|                 |-- Software Creation                SWC   423 /  423
|                 |-- Software Verification            SWV   328 /  346
|                 |-- Software Verification Continued  SWW   369 /  415
|
|-- Science and --|-- Biology                          BIO     6 /    6
|   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     34 /  34
|   Humanities
|
|-- Other --------|-- Arithmetic                       ARI     0 /    0
|-- Syntactic                        SYN   365 /  375
|-- Syntactic Continued              SYO   201 /  206
|-- Puzzles                          PUZ    29 /   37
|-- Miscellaneous                    MSC    11 /   11
```