TPTP Documents File: FOFSynopsis


Overall FOF Statistics
----------------------
Domains                     41
Abstract problems         5229
Problems                  8172
Problems with equality    6387 (78%)
Pure equality problems     372 ( 4%)
Theorem/Unsatisfiable     6803 (83%)
CounterSat/Satisfiable     956 (11%)

Problem-by-problem                 Min      Max      Avg      Med
------------------                 ------------------------------
Number of formulae                   1  3341984    30424       61
% of unit formulae                  0%     100%      30%      22%
Number of atoms                      1  5328211    61215      280
% of equality atoms                 0%     100%      19%      11%
Atoms per formula                  1.0 163741.5    206.4      3.2
Number of predicate symbols          1   204678     2310       13
Maximal predicate arity              0       81        3        2
Number of functors                   0  1050014     9963       13
Maximal functor arity                0      220        3        2
Number of variables                  0   972236    15466      130
          !                          0   972235    10755      117
          ?                          0    34936      420        8
Number of connectives                0  2065419    33668      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     0 /    0
 |                 |-- 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     6 /    6
 |                 |-- 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    86 /  202
 |                 |             |-- 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   361 /  641
 |                 |-- Number Theory Continued          NUN     6 /    6
 |                 |-- Topology                         TOP    29 /  107
 |                 |-- Analysis                         ANA     0 /    0
 |                 |-- Geometry                         GEO   368 /  521
 |                 |-- 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   121 /  786
 |                 |-- Semantic Web                     SWB   108 /  204
 |                 |-- Data Structures                  DAT     0 /    0
 |                 |-- Software Creation                SWC   423 /  423
 |                 |-- Software Verification            SWV   328 /  346
 |                 |-- Software Verification Continued  SWW   246 /  292
 |
 |-- Science and --|-- Biology                          BIO     4 /    4
 |   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     7 /    7
 |   Humanities
 |
 |-- Other --------|-- Arithmetic                       ARI     0 /    0
                   |-- Syntactic                        SYN   365 /  375
                   |-- Syntactic Continued              SYO    46 /   51
                   |-- Puzzles                          PUZ    29 /   37
                   |-- Miscellaneous                    MSC    11 /   11