TSTP Solution File: CSR037+3 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR037+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:14:30 EDT 2024

% Result   : Theorem 0.62s 0.57s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   30 (   4 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   59 (  26   ~;  23   |;   2   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f902,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1656,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7881,axiom,
    ! [X,Y,Z] :
      ( ( geographicalsubregions(X,Y)
        & geographicalsubregions(Y,Z) )
     => geographicalsubregions(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f9266,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(pre_NNF_transformation,[status(esa)],[f902]) ).

fof(f9267,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    inference(cnf_transformation,[status(esa)],[f9266]) ).

fof(f10330,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(pre_NNF_transformation,[status(esa)],[f1656]) ).

fof(f10331,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    inference(cnf_transformation,[status(esa)],[f10330]) ).

fof(f21125,plain,
    ! [X,Y,Z] :
      ( ~ geographicalsubregions(X,Y)
      | ~ geographicalsubregions(Y,Z)
      | geographicalsubregions(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f7881]) ).

fof(f21126,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ geographicalsubregions(X,Y)
          | ~ geographicalsubregions(Y,Z) )
      | geographicalsubregions(X,Z) ),
    inference(miniscoping,[status(esa)],[f21125]) ).

fof(f21127,plain,
    ! [X0,X1,X2] :
      ( ~ geographicalsubregions(X0,X1)
      | ~ geographicalsubregions(X1,X2)
      | geographicalsubregions(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f21126]) ).

fof(f21391,plain,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
    inference(pre_NNF_transformation,[status(esa)],[f8007]) ).

fof(f21392,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(esa)],[f21391]) ).

fof(f21393,plain,
    ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
    inference(cnf_transformation,[status(esa)],[f21391]) ).

fof(f21549,plain,
    ( spl0_43
  <=> mtvisible(c_tptpgeo_member7_mt) ),
    introduced(split_symbol_definition) ).

fof(f21551,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | spl0_43 ),
    inference(component_clause,[status(thm)],[f21549]) ).

fof(f22139,plain,
    ( spl0_200
  <=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
    introduced(split_symbol_definition) ).

fof(f22140,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
    | ~ spl0_200 ),
    inference(component_clause,[status(thm)],[f22139]) ).

fof(f22142,plain,
    ( ~ spl0_43
    | spl0_200 ),
    inference(split_clause,[status(thm)],[f9267,f21549,f22139]) ).

fof(f22689,plain,
    ( spl0_343
  <=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
    introduced(split_symbol_definition) ).

fof(f22690,plain,
    ( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
    | ~ spl0_343 ),
    inference(component_clause,[status(thm)],[f22689]) ).

fof(f22692,plain,
    ( ~ spl0_43
    | spl0_343 ),
    inference(split_clause,[status(thm)],[f10331,f21549,f22689]) ).

fof(f24606,plain,
    ( $false
    | spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f21551,f21392]) ).

fof(f24607,plain,
    spl0_43,
    inference(contradiction_clause,[status(thm)],[f24606]) ).

fof(f24608,plain,
    ! [X0] :
      ( ~ geographicalsubregions(X0,c_georegion_l3_x15_y24)
      | geographicalsubregions(X0,c_georegion_l4_x45_y72)
      | ~ spl0_343 ),
    inference(resolution,[status(thm)],[f22690,f21127]) ).

fof(f24613,plain,
    ( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
    | ~ spl0_200
    | ~ spl0_343 ),
    inference(resolution,[status(thm)],[f22140,f24608]) ).

fof(f24614,plain,
    ( $false
    | ~ spl0_200
    | ~ spl0_343 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24613,f21393]) ).

fof(f24615,plain,
    ( ~ spl0_200
    | ~ spl0_343 ),
    inference(contradiction_clause,[status(thm)],[f24614]) ).

fof(f24616,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f22142,f22692,f24607,f24615]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : CSR037+3 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:51:16 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.22/0.50  % Drodi V3.6.0
% 0.62/0.57  % Refutation found
% 0.62/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.62/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.18/0.65  % Elapsed time: 0.289996 seconds
% 1.18/0.65  % CPU time: 0.854745 seconds
% 1.18/0.65  % Total memory used: 363.279 MB
% 1.18/0.65  % Net memory used: 361.709 MB
%------------------------------------------------------------------------------