TSTP Solution File: CSR074+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR074+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:14:55 EDT 2024

% Result   : Theorem 0.22s 0.38s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   56 (   7 unt;   0 def)
%            Number of atoms       :  121 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  112 (  47   ~;  45   |;   5   &)
%                                         (   7 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [X,Y,Z] :
      ( ( inregion(X,Y)
        & inregion(Y,Z) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,conjecture,
    ( mtvisible(c_tptpgeo_member7_mt)
   => ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
      & geolevel_3(c_georegion_l3_x17_y24) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ~ ( mtvisible(c_tptpgeo_member7_mt)
     => ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
        & geolevel_3(c_georegion_l3_x17_y24) ) ),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f64,plain,
    ! [ARG1,ARG2] :
      ( ~ geographicalsubregions(ARG1,ARG2)
      | inregion(ARG2,ARG1) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f64]) ).

fof(f68,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f69,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f70,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x17_y24) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f71,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x17_y24) ),
    inference(cnf_transformation,[status(esa)],[f70]) ).

fof(f72,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f73,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(cnf_transformation,[status(esa)],[f72]) ).

fof(f74,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f75,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    inference(cnf_transformation,[status(esa)],[f74]) ).

fof(f152,plain,
    ! [X,Y,Z] :
      ( ~ inregion(X,Y)
      | ~ inregion(Y,Z)
      | inregion(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f41]) ).

fof(f153,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ inregion(X,Y)
          | ~ inregion(Y,Z) )
      | inregion(X,Z) ),
    inference(miniscoping,[status(esa)],[f152]) ).

fof(f154,plain,
    ! [X0,X1,X2] :
      ( ~ inregion(X0,X1)
      | ~ inregion(X1,X2)
      | inregion(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f153]) ).

fof(f173,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f49]) ).

fof(f174,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f173]) ).

fof(f175,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f174]) ).

fof(f196,plain,
    ( mtvisible(c_tptpgeo_member7_mt)
    & ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
      | ~ geolevel_3(c_georegion_l3_x17_y24) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f59]) ).

fof(f197,plain,
    mtvisible(c_tptpgeo_member7_mt),
    inference(cnf_transformation,[status(esa)],[f196]) ).

fof(f198,plain,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | ~ geolevel_3(c_georegion_l3_x17_y24) ),
    inference(cnf_transformation,[status(esa)],[f196]) ).

fof(f199,plain,
    ( spl0_0
  <=> mtvisible(c_worldgeographymt) ),
    introduced(split_symbol_definition) ).

fof(f202,plain,
    ( spl0_1
  <=> geolevel_3(c_georegion_l3_x17_y24) ),
    introduced(split_symbol_definition) ).

fof(f205,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f71,f199,f202]) ).

fof(f206,plain,
    ( spl0_2
  <=> mtvisible(c_tptpgeo_member7_mt) ),
    introduced(split_symbol_definition) ).

fof(f208,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f206]) ).

fof(f209,plain,
    ( spl0_3
  <=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    introduced(split_symbol_definition) ).

fof(f210,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f209]) ).

fof(f212,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(split_clause,[status(thm)],[f73,f206,f209]) ).

fof(f213,plain,
    ( spl0_4
  <=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    introduced(split_symbol_definition) ).

fof(f214,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ spl0_4 ),
    inference(component_clause,[status(thm)],[f213]) ).

fof(f216,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(split_clause,[status(thm)],[f75,f206,f213]) ).

fof(f217,plain,
    ( spl0_5
  <=> inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    introduced(split_symbol_definition) ).

fof(f219,plain,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f217]) ).

fof(f220,plain,
    ( ~ spl0_5
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f198,f217,f202]) ).

fof(f236,plain,
    ( spl0_9
  <=> mtvisible(c_tptpgeo_spindleheadmt) ),
    introduced(split_symbol_definition) ).

fof(f239,plain,
    ( ~ mtvisible(c_tptpgeo_spindleheadmt)
    | mtvisible(c_worldgeographymt) ),
    inference(resolution,[status(thm)],[f68,f175]) ).

fof(f240,plain,
    ( ~ spl0_9
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f239,f236,f199]) ).

fof(f241,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | mtvisible(c_tptpgeo_spindleheadmt) ),
    inference(resolution,[status(thm)],[f69,f175]) ).

fof(f242,plain,
    ( ~ spl0_2
    | spl0_9 ),
    inference(split_clause,[status(thm)],[f241,f206,f236]) ).

fof(f246,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f208,f197]) ).

fof(f247,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f246]) ).

fof(f260,plain,
    ( inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
    | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f210,f65]) ).

fof(f264,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l4_x53_y74)
      | inregion(X0,c_georegion_l3_x17_y24)
      | ~ spl0_3 ),
    inference(resolution,[status(thm)],[f260,f154]) ).

fof(f266,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[status(thm)],[f264,f214]) ).

fof(f267,plain,
    ( $false
    | spl0_5
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f266,f219]) ).

fof(f268,plain,
    ( spl0_5
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(contradiction_clause,[status(thm)],[f267]) ).

fof(f269,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f205,f212,f216,f220,f240,f242,f247,f268]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : CSR074+1 : TPTP v8.1.2. Released v3.4.0.
% 0.14/0.15  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Tue Apr 30 00:19:17 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.22/0.37  % Drodi V3.6.0
% 0.22/0.38  % Refutation found
% 0.22/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.39  % Elapsed time: 0.018985 seconds
% 0.22/0.39  % CPU time: 0.027826 seconds
% 0.22/0.39  % Total memory used: 6.890 MB
% 0.22/0.39  % Net memory used: 6.874 MB
%------------------------------------------------------------------------------