TPTP Documents File: TFFSynopsis


Overall TFF Statistics
----------------------
Domains                      18
Abstract problems          1870
Problems                   2077
Problems with equality     1729 (83%)
Pure equality problems      339 (16%)
Problems with arithmetic   1364 (65%)
Problems with polymorphism  598 (28%)
Theorem/Unsatisfiable      1660 (79%)
CounterSat/Satisfiable      118 ( 5%)

Problem-by-problem                 Min      Max      Avg      Med
------------------                 ------------------------------
Number of formulae                   1   340918     4161       76
% of type formulae                  0%     100%      30%      29%
% of unit formulae                  0%     100%      40%      30%
Number of atoms                      0  1986853    15218      184
% of equality atoms                 0%      98%      44%      37%
Atoms per formula                  0.0  31836.0    593.4      2.0
Number of predicate symbols          0   271855     3170       44
Maximal predicate arity              0        8        2        2
Number of functors                   0     9977      147       19
Maximal functor arity                0       18        2        2
Number of variables                  0   246172     3113      187
         !>                          0       62        8        0
          !                          0   246172     3086      173
          ?                          0     2178       18        1
Number of connectives                0  1911707    14510      107
Number of arithmetic symbols         0    30626      308        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     0 /    0
 |                 |-- Agents                           AGT     0 /    0
 |                 |-- Commonsense Reasoning            CSR     0 /    0
 |                 |-- Semantic Web                     SWB     0 /    0
 |                 |-- 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