## TPTP Documents File: TFFSynopsis

```Overall TFF Statistics
----------------------
Domains                      23
Abstract problems          2145
Problems                   2744
Problems with equality     2033 (74%)
Pure equality problems      332 (12%)
Problems with FOOLs         104 ( 3%)
Problems with arithmetic   1311 (47%)
Problems with polymorphism  678 (24%)
Theorem/Unsatisfiable      1959 (71%)
CounterSat/Satisfiable      123 ( 4%)

Problem-by-problem                 Min      Max      Avg      Med
------------------                 ------------------------------
Number of formulae                   1   340918     5483      138
% of unit formulae                  0%     100%      37%      30%
% of type formulae                  0%     100%      30%      28%
Number of atoms                      0  1986853    17757      217
% of equality atoms                 0%     100%      41%      36%
Number of connectives                0  1911707    14179      139
Number of FOOLs                      0   442917     1982        0
Number of arithmetics                0  1723663     3995        2
Number of types                      0     2261       51        4
Number of predicates                 0   135793     1185        6
Maximal predicate arity              0       26        3        2
Number of functors                   0    15824      454       25
Maximal functor arity                0       18        3        3
Number of variables                  0   246172     7954      243
Number of Pi binders                 0    13694      238        0

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    16 /   16
|                 |-- Set Theory Continued             SEV     7 /    7
|                 |-- Graph Theory                     GRA     0 /    0
|                 |-- 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     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   186 /  202
|                 |-- 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    16 /   16
|                 |-- Semantic Web                     SWB     0 /    0
|                 |-- Interactive Theorem Proving      ITP   148 /  533
|                 |-- 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     1 /    1
|   Humanities
|
|-- Other --------|-- Arithmetic                       ARI   681 /  693
|-- Syntactic                        SYN     5 /    9
|-- Syntactic Continued              SYO    39 /   47
|-- Puzzles                          PUZ    13 /   15
|-- Miscellaneous                    MSC     3 /    3
```