TSTP Solution File: CSR074+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : CSR074+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 0.14s 0.53s
% Output   : CNFRefutation 1.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   58 (  10 unt;   0 def)
%            Number of atoms       :  122 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  110 (  46   ~;  45   |;   5   &)
%                                         (   6 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f912,axiom,
    ( mtvisible(c_tptpgeo_member7_mt)
   => inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1111,axiom,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1188,axiom,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1651,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(f1935,axiom,
    ! [ARG1,ARG2] :
      ( geographicalsubregions(ARG1,ARG2)
     => inregion(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2249,axiom,
    ( mtvisible(c_worldgeographymt)
   => geolevel_3(c_georegion_l3_x17_y24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7302,axiom,
    ! [X,Y,Z] :
      ( ( inregion(X,Y)
        & inregion(Y,Z) )
     => inregion(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7997,axiom,
    ! [SPECMT,GENLMT] :
      ( ( mtvisible(SPECMT)
        & genlmt(SPECMT,GENLMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8006,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(f8007,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)],[f8006]) ).

fof(f9280,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    inference(pre_NNF_transformation,[status(esa)],[f912]) ).

fof(f9281,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    inference(cnf_transformation,[status(esa)],[f9280]) ).

fof(f9563,plain,
    genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
    inference(cnf_transformation,[status(esa)],[f1111]) ).

fof(f9672,plain,
    genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
    inference(cnf_transformation,[status(esa)],[f1188]) ).

fof(f10323,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(pre_NNF_transformation,[status(esa)],[f1651]) ).

fof(f10324,plain,
    ( ~ mtvisible(c_tptpgeo_member7_mt)
    | geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    inference(cnf_transformation,[status(esa)],[f10323]) ).

fof(f10720,plain,
    ! [ARG1,ARG2] :
      ( ~ geographicalsubregions(ARG1,ARG2)
      | inregion(ARG2,ARG1) ),
    inference(pre_NNF_transformation,[status(esa)],[f1935]) ).

fof(f10721,plain,
    ! [X0,X1] :
      ( ~ geographicalsubregions(X0,X1)
      | inregion(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f10720]) ).

fof(f11161,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x17_y24) ),
    inference(pre_NNF_transformation,[status(esa)],[f2249]) ).

fof(f11162,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | geolevel_3(c_georegion_l3_x17_y24) ),
    inference(cnf_transformation,[status(esa)],[f11161]) ).

fof(f19970,plain,
    ! [X,Y,Z] :
      ( ~ inregion(X,Y)
      | ~ inregion(Y,Z)
      | inregion(X,Z) ),
    inference(pre_NNF_transformation,[status(esa)],[f7302]) ).

fof(f19971,plain,
    ! [X,Z] :
      ( ! [Y] :
          ( ~ inregion(X,Y)
          | ~ inregion(Y,Z) )
      | inregion(X,Z) ),
    inference(miniscoping,[status(esa)],[f19970]) ).

fof(f19972,plain,
    ! [X0,X1,X2] :
      ( ~ inregion(X0,X1)
      | ~ inregion(X1,X2)
      | inregion(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f19971]) ).

fof(f21368,plain,
    ! [SPECMT,GENLMT] :
      ( ~ mtvisible(SPECMT)
      | ~ genlmt(SPECMT,GENLMT)
      | mtvisible(GENLMT) ),
    inference(pre_NNF_transformation,[status(esa)],[f7997]) ).

fof(f21369,plain,
    ! [GENLMT] :
      ( ! [SPECMT] :
          ( ~ mtvisible(SPECMT)
          | ~ genlmt(SPECMT,GENLMT) )
      | mtvisible(GENLMT) ),
    inference(miniscoping,[status(esa)],[f21368]) ).

fof(f21370,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | ~ genlmt(X0,X1)
      | mtvisible(X1) ),
    inference(cnf_transformation,[status(esa)],[f21369]) ).

fof(f21391,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)],[f8007]) ).

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

fof(f21393,plain,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | ~ geolevel_3(c_georegion_l3_x17_y24) ),
    inference(cnf_transformation,[status(esa)],[f21391]) ).

fof(f21416,plain,
    ( spl0_6
  <=> mtvisible(c_worldgeographymt) ),
    introduced(split_symbol_definition) ).

fof(f21418,plain,
    ( ~ mtvisible(c_worldgeographymt)
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f21416]) ).

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(f22143,plain,
    ( spl0_201
  <=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
    introduced(split_symbol_definition) ).

fof(f22144,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
    | ~ spl0_201 ),
    inference(component_clause,[status(thm)],[f22143]) ).

fof(f22146,plain,
    ( ~ spl0_43
    | spl0_201 ),
    inference(split_clause,[status(thm)],[f9281,f21549,f22143]) ).

fof(f22685,plain,
    ( spl0_342
  <=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
    introduced(split_symbol_definition) ).

fof(f22686,plain,
    ( geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
    | ~ spl0_342 ),
    inference(component_clause,[status(thm)],[f22685]) ).

fof(f22688,plain,
    ( ~ spl0_43
    | spl0_342 ),
    inference(split_clause,[status(thm)],[f10324,f21549,f22685]) ).

fof(f23144,plain,
    ( spl0_461
  <=> geolevel_3(c_georegion_l3_x17_y24) ),
    introduced(split_symbol_definition) ).

fof(f23147,plain,
    ( ~ spl0_6
    | spl0_461 ),
    inference(split_clause,[status(thm)],[f11162,f21416,f23144]) ).

fof(f24603,plain,
    ( spl0_827
  <=> inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24) ),
    introduced(split_symbol_definition) ).

fof(f24605,plain,
    ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | spl0_827 ),
    inference(component_clause,[status(thm)],[f24603]) ).

fof(f24606,plain,
    ( ~ spl0_827
    | ~ spl0_461 ),
    inference(split_clause,[status(thm)],[f21393,f24603,f23144]) ).

fof(f24607,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_member7_mt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f21370,f21392]) ).

fof(f24610,plain,
    ( $false
    | spl0_43 ),
    inference(forward_subsumption_resolution,[status(thm)],[f21551,f21392]) ).

fof(f24611,plain,
    spl0_43,
    inference(contradiction_clause,[status(thm)],[f24610]) ).

fof(f24628,plain,
    ( inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
    | ~ spl0_342 ),
    inference(resolution,[status(thm)],[f22686,f10721]) ).

fof(f24653,plain,
    ! [X0] :
      ( ~ inregion(X0,c_georegion_l4_x53_y74)
      | inregion(X0,c_georegion_l3_x17_y24)
      | ~ spl0_342 ),
    inference(resolution,[status(thm)],[f24628,f19972]) ).

fof(f24728,plain,
    ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
    | ~ spl0_342
    | ~ spl0_201 ),
    inference(resolution,[status(thm)],[f24653,f22144]) ).

fof(f24729,plain,
    ( $false
    | spl0_827
    | ~ spl0_342
    | ~ spl0_201 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24728,f24605]) ).

fof(f24730,plain,
    ( spl0_827
    | ~ spl0_342
    | ~ spl0_201 ),
    inference(contradiction_clause,[status(thm)],[f24729]) ).

fof(f24982,plain,
    mtvisible(c_tptpgeo_spindleheadmt),
    inference(resolution,[status(thm)],[f9672,f24607]) ).

fof(f24983,plain,
    ! [X0] :
      ( ~ genlmt(c_tptpgeo_spindleheadmt,X0)
      | mtvisible(X0) ),
    inference(resolution,[status(thm)],[f24982,f21370]) ).

fof(f24985,plain,
    mtvisible(c_worldgeographymt),
    inference(resolution,[status(thm)],[f24983,f9563]) ).

fof(f24986,plain,
    ( $false
    | spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f24985,f21418]) ).

fof(f24987,plain,
    spl0_6,
    inference(contradiction_clause,[status(thm)],[f24986]) ).

fof(f24988,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f22146,f22688,f23147,f24606,f24611,f24730,f24987]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09  % Problem  : CSR074+3 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30  % Computer : n009.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit : 300
% 0.08/0.30  % WCLimit  : 300
% 0.08/0.30  % DateTime : Mon Apr 29 23:49:55 EDT 2024
% 0.08/0.30  % CPUTime  : 
% 0.14/0.44  % Drodi V3.6.0
% 0.14/0.53  % Refutation found
% 0.14/0.53  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.08/0.63  % Elapsed time: 0.321720 seconds
% 1.08/0.63  % CPU time: 1.015156 seconds
% 1.08/0.63  % Total memory used: 370.665 MB
% 1.08/0.63  % Net memory used: 368.897 MB
%------------------------------------------------------------------------------