## TPTP Documents File: TFFSynopsis

```Overall TFF Statistics
----------------------
Domains                      20
Abstract problems          1902
Problems                   2234
Problems with equality     1827 (81%)
Pure equality problems      339 (15%)
Problems with arithmetic   1311 (58%)
Problems with polymorphism  589 (26%)
Theorem/Unsatisfiable      1765 (79%)
CounterSat/Satisfiable      117 ( 5%)

Problem-by-problem                 Min      Max      Avg      Med
------------------                 ------------------------------
Number of formulae                   1   340918     5111       90
% of type formulae                  0%     100%      31%      30%
% of unit formulae                  0%     100%      39%      30%
Number of atoms                      0  1986853    15785      193
% of equality atoms                 0%     100%      44%      37%
Atoms per formula                  0.0  31836.0    551.9      2.0
Number of predicate symbols          0   271855     2995       38
Maximal predicate arity              0        8        2        2
Number of functors                   0    26096      412       20
Maximal functor arity                0       18        2        2
Number of variables                  0   246172     5494      194
!>                          0    23627      154        0
!                          0   246172     4972      180
?                          0    14804      367        1
Number of connectives                0  1911707    14512      115
Number of arithmetic symbols         0    30626      287        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
|                 |-- Interactive Theorem Proving      ITP    25 /  150
|                 |-- 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
```