↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR042+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:13:04 PM UTC 2026

% Result   : Theorem 103.82s 38.47s
% Output   : CNFRefutation 103.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   18 (   8   ~;   4   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   11 (   9   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9812,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f540023,axiom,
    ! [X,Y] :
      ( borderson(X,Y)
     => borderson(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f540250,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptpgeo_member7_mt)
     => borderson(ARG1,c_georegion_l4_x27_y64) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f540251,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptpgeo_member7_mt)
       => borderson(ARG1,c_georegion_l4_x27_y64) ),
    inference(negated_conjecture,[status(cth)],[f540250]) ).

fof(f555132,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f9812]) ).

fof(f555133,plain,
    ( borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
    | ~ mtvisible(c_tptpgeo_member7_mt) ),
    inference(cnf_transformation,[status(thm)],[f555132]) ).

fof(f1486517,plain,
    ! [X,Y] :
      ( borderson(Y,X)
      | ~ borderson(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f540023]) ).

fof(f1486518,plain,
    ! [X0,X1] :
      ( borderson(X1,X0)
      | ~ borderson(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1486517]) ).

fof(f1486968,plain,
    ! [ARG1] :
      ( ~ borderson(ARG1,c_georegion_l4_x27_y64)
      & mtvisible(c_tptpgeo_member7_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f540251]) ).

fof(f1486969,plain,
    ( ! [ARG1] : ~ borderson(ARG1,c_georegion_l4_x27_y64)
    & mtvisible(c_tptpgeo_member7_mt) ),
    inference(miniscoping,[status(thm)],[f1486968]) ).

fof(f1486970,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(thm)],[f1486969]) ).

fof(f1486971,plain,
    ! [X0] : ~ borderson(X0,c_georegion_l4_x27_y64),
    inference(cnf_transformation,[status(thm)],[f1486969]) ).

fof(f1487788,plain,
    borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
    inference(forward_subsumption_resolution,[status(thm)],[f555133,f1486970]) ).

fof(f1487789,plain,
    borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
    inference(resolution,[status(thm)],[f1487788,f1486518]) ).

fof(f1487790,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1487789,f1486971]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR042+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.63  % Computer : n005.cluster.edu
% 0.15/5.63  % Model    : x86_64 x86_64
% 0.15/5.63  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.63  % Memory   : 8046.5625MB
% 0.15/5.63  % OS       : Linux 6.8.0-71-generic
% 0.15/5.63  % CPULimit : 300
% 0.15/5.63  % WCLimit  : 300
% 0.15/5.63  % DateTime : Mon Sep 21 14:31:53 UTC 2026
% 0.15/5.63  % CPUTime  : 
% 14.75/20.26  % Drodi V4.1.1
% 103.82/38.47  % Refutation found
% 103.82/38.47  % SZS status Theorem for theBenchmark: Theorem is valid
% 103.82/38.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 93.54/39.73  % Elapsed time: 30.832887 seconds
% 93.54/39.73  % CPU time: 131.048898 seconds
% 93.54/39.73  % Total memory used: 22.626 GB
% 93.54/39.73  % Net memory used: 22.547 GB
%------------------------------------------------------------------------------